methods in term paper

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Organizing Your Social Sciences Research Paper

• 6. The Methodology
• Purpose of Guide
• Design Flaws to Avoid
• Independent and Dependent Variables
• Glossary of Research Terms
• Reading Research Effectively
• Narrowing a Topic Idea
• Broadening a Topic Idea
• Extending the Timeliness of a Topic Idea
• Academic Writing Style
• Applying Critical Thinking
• Choosing a Title
• Making an Outline
• Paragraph Development
• Research Process Video Series
• Executive Summary
• The C.A.R.S. Model
• Background Information
• The Research Problem/Question
• Theoretical Framework
• Citation Tracking
• Content Alert Services
• Evaluating Sources
• Primary Sources
• Secondary Sources
• Tiertiary Sources
• Scholarly vs. Popular Publications
• Qualitative Methods
• Quantitative Methods
• Insiderness
• Using Non-Textual Elements
• Limitations of the Study
• Common Grammar Mistakes
• Writing Concisely
• Avoiding Plagiarism
• Footnotes or Endnotes?
• Further Readings
• Generative AI and Writing
• USC Libraries Tutorials and Other Guides
• Bibliography

The methods section describes actions taken to investigate a research problem and the rationale for the application of specific procedures or techniques used to identify, select, process, and analyze information applied to understanding the problem, thereby, allowing the reader to critically evaluate a study’s overall validity and reliability. The methodology section of a research paper answers two main questions: How was the data collected or generated? And, how was it analyzed? The writing should be direct and precise and always written in the past tense.

Kallet, Richard H. "How to Write the Methods Section of a Research Paper." Respiratory Care 49 (October 2004): 1229-1232.

Importance of a Good Methodology Section

You must explain how you obtained and analyzed your results for the following reasons:

• Readers need to know how the data was obtained because the method you chose affects the results and, by extension, how you interpreted their significance in the discussion section of your paper.
• Methodology is crucial for any branch of scholarship because an unreliable method produces unreliable results and, as a consequence, undermines the value of your analysis of the findings.
• In most cases, there are a variety of different methods you can choose to investigate a research problem. The methodology section of your paper should clearly articulate the reasons why you have chosen a particular procedure or technique.
• The reader wants to know that the data was collected or generated in a way that is consistent with accepted practice in the field of study. For example, if you are using a multiple choice questionnaire, readers need to know that it offered your respondents a reasonable range of answers to choose from.
• The method must be appropriate to fulfilling the overall aims of the study. For example, you need to ensure that you have a large enough sample size to be able to generalize and make recommendations based upon the findings.
• The methodology should discuss the problems that were anticipated and the steps you took to prevent them from occurring. For any problems that do arise, you must describe the ways in which they were minimized or why these problems do not impact in any meaningful way your interpretation of the findings.
• In the social and behavioral sciences, it is important to always provide sufficient information to allow other researchers to adopt or replicate your methodology. This information is particularly important when a new method has been developed or an innovative use of an existing method is utilized.

Bem, Daryl J. Writing the Empirical Journal Article. Psychology Writing Center. University of Washington; Denscombe, Martyn. The Good Research Guide: For Small-Scale Social Research Projects . 5th edition. Buckingham, UK: Open University Press, 2014; Lunenburg, Frederick C. Writing a Successful Thesis or Dissertation: Tips and Strategies for Students in the Social and Behavioral Sciences . Thousand Oaks, CA: Corwin Press, 2008.

Structure and Writing Style

I.  Groups of Research Methods

There are two main groups of research methods in the social sciences:

• The e mpirical-analytical group approaches the study of social sciences in a similar manner that researchers study the natural sciences . This type of research focuses on objective knowledge, research questions that can be answered yes or no, and operational definitions of variables to be measured. The empirical-analytical group employs deductive reasoning that uses existing theory as a foundation for formulating hypotheses that need to be tested. This approach is focused on explanation.
• The i nterpretative group of methods is focused on understanding phenomenon in a comprehensive, holistic way . Interpretive methods focus on analytically disclosing the meaning-making practices of human subjects [the why, how, or by what means people do what they do], while showing how those practices arrange so that it can be used to generate observable outcomes. Interpretive methods allow you to recognize your connection to the phenomena under investigation. However, the interpretative group requires careful examination of variables because it focuses more on subjective knowledge.

II.  Content

The introduction to your methodology section should begin by restating the research problem and underlying assumptions underpinning your study. This is followed by situating the methods you used to gather, analyze, and process information within the overall “tradition” of your field of study and within the particular research design you have chosen to study the problem. If the method you choose lies outside of the tradition of your field [i.e., your review of the literature demonstrates that the method is not commonly used], provide a justification for how your choice of methods specifically addresses the research problem in ways that have not been utilized in prior studies.

The remainder of your methodology section should describe the following:

• Decisions made in selecting the data you have analyzed or, in the case of qualitative research, the subjects and research setting you have examined,
• Tools and methods used to identify and collect information, and how you identified relevant variables,
• The ways in which you processed the data and the procedures you used to analyze that data, and
• The specific research tools or strategies that you utilized to study the underlying hypothesis and research questions.

In addition, an effectively written methodology section should:

• Introduce the overall methodological approach for investigating your research problem . Is your study qualitative or quantitative or a combination of both (mixed method)? Are you going to take a special approach, such as action research, or a more neutral stance?
• Indicate how the approach fits the overall research design . Your methods for gathering data should have a clear connection to your research problem. In other words, make sure that your methods will actually address the problem. One of the most common deficiencies found in research papers is that the proposed methodology is not suitable to achieving the stated objective of your paper.
• Describe the specific methods of data collection you are going to use , such as, surveys, interviews, questionnaires, observation, archival research. If you are analyzing existing data, such as a data set or archival documents, describe how it was originally created or gathered and by whom. Also be sure to explain how older data is still relevant to investigating the current research problem.
• Explain how you intend to analyze your results . Will you use statistical analysis? Will you use specific theoretical perspectives to help you analyze a text or explain observed behaviors? Describe how you plan to obtain an accurate assessment of relationships, patterns, trends, distributions, and possible contradictions found in the data.
• Provide background and a rationale for methodologies that are unfamiliar for your readers . Very often in the social sciences, research problems and the methods for investigating them require more explanation/rationale than widely accepted rules governing the natural and physical sciences. Be clear and concise in your explanation.
• Provide a justification for subject selection and sampling procedure . For instance, if you propose to conduct interviews, how do you intend to select the sample population? If you are analyzing texts, which texts have you chosen, and why? If you are using statistics, why is this set of data being used? If other data sources exist, explain why the data you chose is most appropriate to addressing the research problem.
• Provide a justification for case study selection . A common method of analyzing research problems in the social sciences is to analyze specific cases. These can be a person, place, event, phenomenon, or other type of subject of analysis that are either examined as a singular topic of in-depth investigation or multiple topics of investigation studied for the purpose of comparing or contrasting findings. In either method, you should explain why a case or cases were chosen and how they specifically relate to the research problem.
• Describe potential limitations . Are there any practical limitations that could affect your data collection? How will you attempt to control for potential confounding variables and errors? If your methodology may lead to problems you can anticipate, state this openly and show why pursuing this methodology outweighs the risk of these problems cropping up.

NOTE :   Once you have written all of the elements of the methods section, subsequent revisions should focus on how to present those elements as clearly and as logically as possibly. The description of how you prepared to study the research problem, how you gathered the data, and the protocol for analyzing the data should be organized chronologically. For clarity, when a large amount of detail must be presented, information should be presented in sub-sections according to topic. If necessary, consider using appendices for raw data.

ANOTHER NOTE : If you are conducting a qualitative analysis of a research problem , the methodology section generally requires a more elaborate description of the methods used as well as an explanation of the processes applied to gathering and analyzing of data than is generally required for studies using quantitative methods. Because you are the primary instrument for generating the data [e.g., through interviews or observations], the process for collecting that data has a significantly greater impact on producing the findings. Therefore, qualitative research requires a more detailed description of the methods used.

YET ANOTHER NOTE :   If your study involves interviews, observations, or other qualitative techniques involving human subjects , you may be required to obtain approval from the university's Office for the Protection of Research Subjects before beginning your research. This is not a common procedure for most undergraduate level student research assignments. However, i f your professor states you need approval, you must include a statement in your methods section that you received official endorsement and adequate informed consent from the office and that there was a clear assessment and minimization of risks to participants and to the university. This statement informs the reader that your study was conducted in an ethical and responsible manner. In some cases, the approval notice is included as an appendix to your paper.

III.  Problems to Avoid

Irrelevant Detail The methodology section of your paper should be thorough but concise. Do not provide any background information that does not directly help the reader understand why a particular method was chosen, how the data was gathered or obtained, and how the data was analyzed in relation to the research problem [note: analyzed, not interpreted! Save how you interpreted the findings for the discussion section]. With this in mind, the page length of your methods section will generally be less than any other section of your paper except the conclusion.

Unnecessary Explanation of Basic Procedures Remember that you are not writing a how-to guide about a particular method. You should make the assumption that readers possess a basic understanding of how to investigate the research problem on their own and, therefore, you do not have to go into great detail about specific methodological procedures. The focus should be on how you applied a method , not on the mechanics of doing a method. An exception to this rule is if you select an unconventional methodological approach; if this is the case, be sure to explain why this approach was chosen and how it enhances the overall process of discovery.

Problem Blindness It is almost a given that you will encounter problems when collecting or generating your data, or, gaps will exist in existing data or archival materials. Do not ignore these problems or pretend they did not occur. Often, documenting how you overcame obstacles can form an interesting part of the methodology. It demonstrates to the reader that you can provide a cogent rationale for the decisions you made to minimize the impact of any problems that arose.

Literature Review Just as the literature review section of your paper provides an overview of sources you have examined while researching a particular topic, the methodology section should cite any sources that informed your choice and application of a particular method [i.e., the choice of a survey should include any citations to the works you used to help construct the survey].

It’s More than Sources of Information! A description of a research study's method should not be confused with a description of the sources of information. Such a list of sources is useful in and of itself, especially if it is accompanied by an explanation about the selection and use of the sources. The description of the project's methodology complements a list of sources in that it sets forth the organization and interpretation of information emanating from those sources.

Azevedo, L.F. et al. "How to Write a Scientific Paper: Writing the Methods Section." Revista Portuguesa de Pneumologia 17 (2011): 232-238; Blair Lorrie. “Choosing a Methodology.” In Writing a Graduate Thesis or Dissertation , Teaching Writing Series. (Rotterdam: Sense Publishers 2016), pp. 49-72; Butin, Dan W. The Education Dissertation A Guide for Practitioner Scholars . Thousand Oaks, CA: Corwin, 2010; Carter, Susan. Structuring Your Research Thesis . New York: Palgrave Macmillan, 2012; Kallet, Richard H. “How to Write the Methods Section of a Research Paper.” Respiratory Care 49 (October 2004):1229-1232; Lunenburg, Frederick C. Writing a Successful Thesis or Dissertation: Tips and Strategies for Students in the Social and Behavioral Sciences . Thousand Oaks, CA: Corwin Press, 2008. Methods Section. The Writer’s Handbook. Writing Center. University of Wisconsin, Madison; Rudestam, Kjell Erik and Rae R. Newton. “The Method Chapter: Describing Your Research Plan.” In Surviving Your Dissertation: A Comprehensive Guide to Content and Process . (Thousand Oaks, Sage Publications, 2015), pp. 87-115; What is Interpretive Research. Institute of Public and International Affairs, University of Utah; Writing the Experimental Report: Methods, Results, and Discussion. The Writing Lab and The OWL. Purdue University; Methods and Materials. The Structure, Format, Content, and Style of a Journal-Style Scientific Paper. Department of Biology. Bates College.

Writing Tip

Statistical Designs and Tests? Do Not Fear Them!

Don't avoid using a quantitative approach to analyzing your research problem just because you fear the idea of applying statistical designs and tests. A qualitative approach, such as conducting interviews or content analysis of archival texts, can yield exciting new insights about a research problem, but it should not be undertaken simply because you have a disdain for running a simple regression. A well designed quantitative research study can often be accomplished in very clear and direct ways, whereas, a similar study of a qualitative nature usually requires considerable time to analyze large volumes of data and a tremendous burden to create new paths for analysis where previously no path associated with your research problem had existed.

To locate data and statistics, GO HERE .

Another Writing Tip

Knowing the Relationship Between Theories and Methods

There can be multiple meaning associated with the term "theories" and the term "methods" in social sciences research. A helpful way to delineate between them is to understand "theories" as representing different ways of characterizing the social world when you research it and "methods" as representing different ways of generating and analyzing data about that social world. Framed in this way, all empirical social sciences research involves theories and methods, whether they are stated explicitly or not. However, while theories and methods are often related, it is important that, as a researcher, you deliberately separate them in order to avoid your theories playing a disproportionate role in shaping what outcomes your chosen methods produce.

Introspectively engage in an ongoing dialectic between the application of theories and methods to help enable you to use the outcomes from your methods to interrogate and develop new theories, or ways of framing conceptually the research problem. This is how scholarship grows and branches out into new intellectual territory.

Reynolds, R. Larry. Ways of Knowing. Alternative Microeconomics . Part 1, Chapter 3. Boise State University; The Theory-Method Relationship. S-Cool Revision. United Kingdom.

Yet Another Writing Tip

Methods and the Methodology

Do not confuse the terms "methods" and "methodology." As Schneider notes, a method refers to the technical steps taken to do research . Descriptions of methods usually include defining and stating why you have chosen specific techniques to investigate a research problem, followed by an outline of the procedures you used to systematically select, gather, and process the data [remember to always save the interpretation of data for the discussion section of your paper].

The methodology refers to a discussion of the underlying reasoning why particular methods were used . This discussion includes describing the theoretical concepts that inform the choice of methods to be applied, placing the choice of methods within the more general nature of academic work, and reviewing its relevance to examining the research problem. The methodology section also includes a thorough review of the methods other scholars have used to study the topic.

Bryman, Alan. "Of Methods and Methodology." Qualitative Research in Organizations and Management: An International Journal 3 (2008): 159-168; Schneider, Florian. “What's in a Methodology: The Difference between Method, Methodology, and Theory…and How to Get the Balance Right?” PoliticsEastAsia.com. Chinese Department, University of Leiden, Netherlands.

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• Dissertation
• What Is a Research Methodology? | Steps & Tips

What Is a Research Methodology? | Steps & Tips

Published on August 25, 2022 by Shona McCombes and Tegan George. Revised on November 20, 2023.

Your research methodology discusses and explains the data collection and analysis methods you used in your research. A key part of your thesis, dissertation , or research paper , the methodology chapter explains what you did and how you did it, allowing readers to evaluate the reliability and validity of your research and your dissertation topic .

It should include:

• The type of research you conducted
• How you collected and analyzed your data
• Any tools or materials you used in the research
• How you mitigated or avoided research biases
• Why you chose these methods
• Your methodology section should generally be written in the past tense .
• Academic style guides in your field may provide detailed guidelines on what to include for different types of studies.
• Your citation style might provide guidelines for your methodology section (e.g., an APA Style methods section ).

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Table of contents

How to write a research methodology, why is a methods section important, step 1: explain your methodological approach, step 2: describe your data collection methods, step 3: describe your analysis method, step 4: evaluate and justify the methodological choices you made, tips for writing a strong methodology chapter, other interesting articles, frequently asked questions about methodology.

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Your methods section is your opportunity to share how you conducted your research and why you chose the methods you chose. It’s also the place to show that your research was rigorously conducted and can be replicated .

It gives your research legitimacy and situates it within your field, and also gives your readers a place to refer to if they have any questions or critiques in other sections.

You can start by introducing your overall approach to your research. You have two options here.

Option 1: Start with your “what”

What research problem or question did you investigate?

• Aim to describe the characteristics of something?
• Explore an under-researched topic?
• Establish a causal relationship?

And what type of data did you need to achieve this aim?

• Quantitative data , qualitative data , or a mix of both?
• Primary data collected yourself, or secondary data collected by someone else?
• Experimental data gathered by controlling and manipulating variables, or descriptive data gathered via observations?

Option 2: Start with your “why”

Depending on your discipline, you can also start with a discussion of the rationale and assumptions underpinning your methodology. In other words, why did you choose these methods for your study?

• Why is this the best way to answer your research question?
• Is this a standard methodology in your field, or does it require justification?
• Were there any ethical considerations involved in your choices?
• What are the criteria for validity and reliability in this type of research ? How did you prevent bias from affecting your data?

Once you have introduced your reader to your methodological approach, you should share full details about your data collection methods .

Quantitative methods

In order to be considered generalizable, you should describe quantitative research methods in enough detail for another researcher to replicate your study.

Here, explain how you operationalized your concepts and measured your variables. Discuss your sampling method or inclusion and exclusion criteria , as well as any tools, procedures, and materials you used to gather your data.

Surveys Describe where, when, and how the survey was conducted.

• How did you design the questionnaire?
• What form did your questions take (e.g., multiple choice, Likert scale )?
• Were your surveys conducted in-person or virtually?
• What sampling method did you use to select participants?
• What was your sample size and response rate?

Experiments Share full details of the tools, techniques, and procedures you used to conduct your experiment.

• How did you design the experiment ?
• How did you recruit participants?
• How did you manipulate and measure the variables ?
• What tools did you use?

Existing data Explain how you gathered and selected the material (such as datasets or archival data) that you used in your analysis.

• Where did you source the material?
• How was the data originally produced?
• What criteria did you use to select material (e.g., date range)?

The survey consisted of 5 multiple-choice questions and 10 questions measured on a 7-point Likert scale.

The goal was to collect survey responses from 350 customers visiting the fitness apparel company’s brick-and-mortar location in Boston on July 4–8, 2022, between 11:00 and 15:00.

Here, a customer was defined as a person who had purchased a product from the company on the day they took the survey. Participants were given 5 minutes to fill in the survey anonymously. In total, 408 customers responded, but not all surveys were fully completed. Due to this, 371 survey results were included in the analysis.

• Information bias
• Omitted variable bias
• Regression to the mean
• Survivorship bias
• Undercoverage bias
• Sampling bias

Qualitative methods

In qualitative research , methods are often more flexible and subjective. For this reason, it’s crucial to robustly explain the methodology choices you made.

Be sure to discuss the criteria you used to select your data, the context in which your research was conducted, and the role you played in collecting your data (e.g., were you an active participant, or a passive observer?)

Interviews or focus groups Describe where, when, and how the interviews were conducted.

• How did you find and select participants?
• How many participants took part?
• What form did the interviews take ( structured , semi-structured , or unstructured )?
• How long were the interviews?
• How were they recorded?

Participant observation Describe where, when, and how you conducted the observation or ethnography .

• What group or community did you observe? How long did you spend there?
• How did you gain access to this group? What role did you play in the community?
• How long did you spend conducting the research? Where was it located?
• How did you record your data (e.g., audiovisual recordings, note-taking)?

Existing data Explain how you selected case study materials for your analysis.

• What type of materials did you analyze?
• How did you select them?

In order to gain better insight into possibilities for future improvement of the fitness store’s product range, semi-structured interviews were conducted with 8 returning customers.

Here, a returning customer was defined as someone who usually bought products at least twice a week from the store.

Surveys were used to select participants. Interviews were conducted in a small office next to the cash register and lasted approximately 20 minutes each. Answers were recorded by note-taking, and seven interviews were also filmed with consent. One interviewee preferred not to be filmed.

• The Hawthorne effect
• Observer bias
• The placebo effect
• Response bias and Nonresponse bias
• The Pygmalion effect
• Recall bias
• Social desirability bias
• Self-selection bias

Mixed methods

Mixed methods research combines quantitative and qualitative approaches. If a standalone quantitative or qualitative study is insufficient to answer your research question, mixed methods may be a good fit for you.

Mixed methods are less common than standalone analyses, largely because they require a great deal of effort to pull off successfully. If you choose to pursue mixed methods, it’s especially important to robustly justify your methods.

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Next, you should indicate how you processed and analyzed your data. Avoid going into too much detail: you should not start introducing or discussing any of your results at this stage.

In quantitative research , your analysis will be based on numbers. In your methods section, you can include:

• How you prepared the data before analyzing it (e.g., checking for missing data , removing outliers , transforming variables)
• Which software you used (e.g., SPSS, Stata or R)
• Which statistical tests you used (e.g., two-tailed t test , simple linear regression )

In qualitative research, your analysis will be based on language, images, and observations (often involving some form of textual analysis ).

Specific methods might include:

• Content analysis : Categorizing and discussing the meaning of words, phrases and sentences
• Thematic analysis : Coding and closely examining the data to identify broad themes and patterns
• Discourse analysis : Studying communication and meaning in relation to their social context

Mixed methods combine the above two research methods, integrating both qualitative and quantitative approaches into one coherent analytical process.

Above all, your methodology section should clearly make the case for why you chose the methods you did. This is especially true if you did not take the most standard approach to your topic. In this case, discuss why other methods were not suitable for your objectives, and show how this approach contributes new knowledge or understanding.

In any case, it should be overwhelmingly clear to your reader that you set yourself up for success in terms of your methodology’s design. Show how your methods should lead to results that are valid and reliable, while leaving the analysis of the meaning, importance, and relevance of your results for your discussion section .

• Quantitative: Lab-based experiments cannot always accurately simulate real-life situations and behaviors, but they are effective for testing causal relationships between variables .
• Qualitative: Unstructured interviews usually produce results that cannot be generalized beyond the sample group , but they provide a more in-depth understanding of participants’ perceptions, motivations, and emotions.
• Mixed methods: Despite issues systematically comparing differing types of data, a solely quantitative study would not sufficiently incorporate the lived experience of each participant, while a solely qualitative study would be insufficiently generalizable.

Remember that your aim is not just to describe your methods, but to show how and why you applied them. Again, it’s critical to demonstrate that your research was rigorously conducted and can be replicated.

1. Focus on your objectives and research questions

The methodology section should clearly show why your methods suit your objectives and convince the reader that you chose the best possible approach to answering your problem statement and research questions .

2. Cite relevant sources

Your methodology can be strengthened by referencing existing research in your field. This can help you to:

• Show that you followed established practice for your type of research
• Discuss how you decided on your approach by evaluating existing research
• Present a novel methodological approach to address a gap in the literature

3. Write for your audience

Consider how much information you need to give, and avoid getting too lengthy. If you are using methods that are standard for your discipline, you probably don’t need to give a lot of background or justification.

Regardless, your methodology should be a clear, well-structured text that makes an argument for your approach, not just a list of technical details and procedures.

If you want to know more about statistics , methodology , or research bias , make sure to check out some of our other articles with explanations and examples.

• Normal distribution
• Measures of central tendency
• Chi square tests
• Confidence interval
• Quartiles & Quantiles

Methodology

• Cluster sampling
• Stratified sampling
• Thematic analysis
• Cohort study
• Peer review
• Ethnography

Research bias

• Implicit bias
• Cognitive bias
• Conformity bias
• Hawthorne effect
• Availability heuristic
• Attrition bias

Methodology refers to the overarching strategy and rationale of your research project . It involves studying the methods used in your field and the theories or principles behind them, in order to develop an approach that matches your objectives.

Methods are the specific tools and procedures you use to collect and analyze data (for example, experiments, surveys , and statistical tests ).

In shorter scientific papers, where the aim is to report the findings of a specific study, you might simply describe what you did in a methods section .

In a longer or more complex research project, such as a thesis or dissertation , you will probably include a methodology section , where you explain your approach to answering the research questions and cite relevant sources to support your choice of methods.

In a scientific paper, the methodology always comes after the introduction and before the results , discussion and conclusion . The same basic structure also applies to a thesis, dissertation , or research proposal .

Depending on the length and type of document, you might also include a literature review or theoretical framework before the methodology.

Quantitative research deals with numbers and statistics, while qualitative research deals with words and meanings.

Quantitative methods allow you to systematically measure variables and test hypotheses . Qualitative methods allow you to explore concepts and experiences in more detail.

Reliability and validity are both about how well a method measures something:

• Reliability refers to the  consistency of a measure (whether the results can be reproduced under the same conditions).
• Validity   refers to the  accuracy of a measure (whether the results really do represent what they are supposed to measure).

If you are doing experimental research, you also have to consider the internal and external validity of your experiment.

A sample is a subset of individuals from a larger population . Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students.

In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

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How to Write a Term Paper

How to Write a Term Paper - Getting to the Basics

A term paper is generally structured with an opening introduction, followed by several body paragraphs, and culminates with a conclusion. It articulates a central thesis statement, bolstered by corroborative evidence and critical analysis. The writing is formal in nature, adheres to a designated formatting style like APA or MLA, and is complemented by accurate citations and a comprehensive bibliography.

Writing a term paper is a structured process that demands careful planning and execution. Here’s a step-by-step approach to guide you:

• Understand the Assignment : Ensure you grasp the requirements, the topic's scope, and the deadline.
• Choose a Topic : Select a topic that is interesting to you and meets the assignment's criteria. It should be narrow enough to explore fully within the paper's constraints.
• Conduct Preliminary Research : Gather background information to further refine your topic, develop a thesis, and create a research question.
• Develop a Thesis Statement : This is the central argument or claim of your paper. It should be clear, concise, and arguable.
• Create an Outline : Organize your main points and supporting details into an outline. This will serve as a roadmap for your term paper.
• Conduct Detailed Research : Use credible sources to collect evidence and information that support your thesis. Take careful notes and keep track of your sources for citations.
• Write the Introduction : Start with a hook to grab the reader's interest, provide background information, and present your thesis statement.
• Write the Body : Each paragraph should focus on a single point that supports your thesis. Use evidence and analysis to back up each point.
• Write the Conclusion : Summarize your main points and restate the thesis in the context of the evidence you provided. Discuss the implications of your findings or future directions for research.
• Revise and Edit : Look for any gaps in logic or content, check for clarity and flow, and ensure each part of the paper supports your thesis. Edit for grammar, spelling, and punctuation errors.
• Format Your Paper : Follow the required citation style (APA, MLA, Chicago, etc.) for your discipline, and ensure your paper adheres to all formatting guidelines.
• Final Review : Give your paper a final read-through, checking for coherence, structure, and formatting.
• Submit : Turn in your paper by the deadline, and ensure you have a copy saved for your records.

You always hear the word “term paper,” and in the most basic sense, it is the paper that sums up everything you have learned in a term or semester. Think of it as the ‘gate pass’ for a checkpoint in a game: you need to secure one by finishing one important challenge.

As every game requires, that particular challenge is not similar to other challenges you have encountered. Thus, you must conserve every remaining energy and time to prepare for the challenge.

Going back to our topic, term papers require your knowledge, effort, and time. You can only produce a faultless and astounding term paper once you have mastered the fundamental things you will continuously see in every paper you will be crafting in the coming semesters.

Research-Based

In a term paper, you may not want to ditch your personal experiences or observations when integrating what you have learned in a single term or semester. Most of the time, integrating salient findings and concepts from literature and other scholarly sources may be required depending on the type of paper you are asked to write.

A topic, especially if it is purely theoretical or academic, may warrant you to do a literature review and background research. Fret not, though, as this blog will guide you through making your term paper a work of research.

Since a term paper is research-based, it is almost always impossible not to involve critical thinking and analysis on a certain topic. After all, the best way to discuss a topic, especially if it is complex, is to break it down into pieces. Once disassembled, you can evaluate the evidence, examine its validity, and draw reasoned conclusions based on your findings.

Thesis Statement

You might be able to equate a term paper to an essay. They seem to get along, especially with the structure and purpose of writing. However, you can never go wrong with formulating a good thesis statement for your term paper.

As it is more similar to a research paper, a term paper can be quite long, so having a good thesis statement reinstates the main argument or purpose of your writing. It guides the entire direction of your paper and helps your reader grasp its focus– no matter how long and winding his or her experience will be.

Logical Flow

We may love a fun, creative, and often chaotic way of writing, especially when reading a narrative essay as a coursework assignment. Sorry to burst your bubbles, but a term paper may not follow the same route.

As a standard term paper is full of concepts, terms, arguments, and ideas, it deserves great attention to logic and organization. This means that each section of the paper must build up from the previous one, and transitions between paragraphs and sections should observe smoothness and coherence.

What is a Term Paper In Terms of Its Various Types and Forms

Writing a term paper entails preparation. You can only wish that you have a ton of brain cells and resources to help you finalize your paper that is good for submission– and a stellar score.

However, preparation is only one thing in the long-lasting process of term paper writing.

The term paper structure will still depend on the scope of analysis, as well as the categories of the term paper. Yes, you saw it correctly: types or categories of term papers may have different structures or, in most cases, purposes.

This part of your journey in term paper writing will acquaint you with different types of term papers according to purpose and structure. 

Analytical Paper

From the word itself, an analytical paper requires you to break down a concept, theory, or phenomenon into several parts. These parts may come in the form of elements, experiences, principles, and many other related components.

An analytical paper aims to examine these parts critically and evaluate them accordingly. Analytical papers are often found in social sciences and humanities, and they are mostly requested for a term paper writing service .

Possible topics that resemble your future topic under the mentioned fields are critiquing a philosophical theory or analyzing globalization's impact on a specific country's pop culture.

Argumentative Paper

What is a term paper without presenting a stance? In an argumentative term paper, your professor might give you a debatable or controversial topic that requires your critical thinking and persuasive skills to be utilized.

In this type of term paper, you must integrate a literature review and empirical evidence to support your stance and counter several opposing views. Argumentations are often found in several branches of the social sciences, such as law, ethics, and literature.

You may stumble upon topics like augmenting a controversial public policy or defending a particular interpretation of a literary piece.

Descriptive Paper

Fulfilling this type of term paper entails more than injecting fancy adjectives, imageries, and vivid narrations. When dealing with descriptive term papers, you must provide a detailed overview of a particular topic, event, phenomenon, or concept.

If you ask me how to format a term paper of this kind, the descriptive language used must be realistic and accurate, not just merely ornamental. This orientation would provide a seamless and truthful picture for the reader of your paper.

Although your term paper may be descriptive, objectivity should not be taken away. Descriptive term papers are mostly required in the natural sciences, such as physics, chemistry, Earth science, and biology. A perfect example is the description of the geological features of a national park. 

Comparative Papers

True to its name, this type of term paper compares and contrasts two or more theories, subjects, schools of thought, and approaches.

Upon taking the two major steps, you will need to analyze the similarities and differences between the elements, and you may formulate conclusions regarding their significance or implications. Comparative term papers are commonly seen in economics, political science, literature, sociology, and history.

A prime example might be comparing two distinct economic systems or analyzing the similarities and differences between political theories, such as Republicanism and Democracy.

Expository Papers

How to start a term paper of this type? We just have to take a hint at its name: it ‘exposes’ a piece of information. Elaborating on this, term papers adhering to this type explain or inform the prospective audience about a specific topic, concept, process, or phenomenon.

Since we are dealing with information, it has to be ensured that the latter must be accurate, truthful, and sufficient. Writing expository papers may also entail a handful of related writing tasks, such as defining key terms and organizing information according to related themes.

The fields that most likely require expository term papers are education, communication arts, journalism, and several liberal arts areas.

Grasping each type of term paper above may be quite a handful. Apart from preparing a term paper, you are confronted with a big challenge to choose a type or, in some cases, integrate one type into another.

Regardless of your writing decisions, you are always in for a treat: your term paper proposal will not be a failure if you are more than familiar with your purpose of writing one.

In addition, writing services like Studyfy let you access term paper help like no other. From your term paper outline to the final touches, an array of professional writers are present to provide personalized writing services for negotiable pricing.

What’s The Proper Term Paper Format? From the Ground Up

I am fully aware that you have been wired up with all the information you need to know about term papers, but do not falter yet, as we are just in the most needed part of this blog: formatting your term paper.

Writing a term paper will not be as polished and organized if you do not prepare your format ahead of your writing preparations. So, from conceptualizing your title to proofreading your paper, our tips and tricks will propel you to the towering heights of marks you have always aimed for.

Start Strong with Your Title Page

A well-established term paper will not be realized without a strong facade through a title page. Many students are seen as not focusing on this part of the paper, thinking that it does not hold as much importance as other parts, but if you are thinking the same, you need to change your mind.

Some instructors and professors look at the title page to check if you adhere to the formatting guidelines. If you are less likely to notice such inconsistencies, your professor might think you are not keen enough to eye important details in the rest of your paper.

Pro-Tip: As early as creating your title page, be sure to follow any specific formatting guidelines provided by your professor or academic institution, such as font size, spacing, and margin specifications.

Abstract– Concise Yet Complete

An abstract is likewise an important component of a term paper, just as in a research paper. It encapsulates the crucial pieces of information that the reader must know. It includes the background of the paper, methods, results, and implications of the findings.

While the abstract may require a specific word count that differs from one academic institution to another, it is generally preferred to keep everything short yet complete. Remember: the term paper itself will likely become wordy and extensive, so let us spare space for urgency on the paper’s abstract.

Pro-Tip : Keep everything concise and elaborate on the findings more than the background. The usual word count for an abstract is 150-200 words.

Term Paper’s Background: Where the Thesis Statement is Cleared Its Way

Term paper writing will get as fired up at this point since this part introduces the rationale or context of the paper, asking the question, “What is the topic all about?” In presenting the background, the introduction of the paper's main argument is given– the thesis statement.

This crucial part of the paper is often written as a declarative sentence or a question. To make everything clear and articulated, the paper’s background must provide an extensive exploration of the topic that could lead to formulating the thesis statement. There should be a profound connection between the rationale of the paper and its main purpose.

Pro-Tip : Term papers are more flexible than research papers and journal articles in terms of structuring their introduction. You may hook the reader's attention by putting an engaging opening sentence or anecdote.

Arranging Lit Review: To Each Its Own

Regardless of whether the literature review section of a term paper is separated or integrated into the introduction, this part must provide an extensive overview of existing research and scholarship relevant to the topic.

While one can put empirical and observational studies into the review, it is important to put a premium on reputable articles and research reports that are peer-reviewed and published in indexed journals. When no single guideline talks about a window period for acceptable literature, you may set one for yourself as a guide. 

Pro-Tip: Arrange the literature review thematically, chronologically, or topically, depending on the ways that you desire to highlight some aspects of your term paper.

To an Extensive Results and Discussion Section

Term papers will not be complete without the discussion section. This part seals the deal and is an important piece of a complex puzzle. It interprets the results in conjunction with the questions at hand and assesses their value by comparing them with previous studies according to their agreement or disagreement. 

Pro-Tip: When sourcing previous studies as points of reference for the results, always strive to find ones that both agree or disagree with them. This ensures the polarity and absence of bias in the reporting of the results.

Closing the Curtains with the Paper’s Conclusion

When concluding your term paper writing, always restate the thesis statement. It always feels right and justifiable if the main purpose of the entire term paper is reiterated in the last part of the paper. Apart from that, recommendations and final thoughts may be included in this section.

The conclusion section, deemed shorter than other key sections in the term paper, may come in a short paragraph or bullet format, depending on your guidelines.

Pro-Tip: New information that is not previously included in the paper is not welcome in the conclusion. You might need to write my term paper again if I committed a mistake. You may instead synthesize the key points and results and leave a lasting impression on your reader by either providing a strong closing statement or a reinforcement of the main argument of the term paper.

References and Appendices: Two Pieces That Complete

One may argue that writing term papers may not need references and appendices sections, but the material they provide may prove otherwise. Without the references, sources will not be identified nor assessed, leaving no room for integrity on the writer's part. 

Having no appendices section, on the other hand, does not provide enough context or additional information about the important plans that were executed during the creation of the paper. It is in these sections that small things matter.

Pro-Tip: Double-check the veracity of the references and appendices section. This may entail using the proper citation style for the reference titles and labeling the materials under the appendices section.

What’s a term paper? How to write a successful term paper?

A: A term paper is a type of academic paper that a student, typically from a higher academic institution such as a university, completes at the end of a semester or a term. Since it is considered a terminal requirement, writing a term paper requires one to conduct research, utilize higher-order thinking skills such as analysis, and present findings on a topic or subject by incorporating the knowledge and skills throughout the entirety of the term. 

Since a term paper qualifies as an academic paper, writing services offer custom term paper assistance whenever needed. It is only through tailor-fit writing assistance and professional guidance from seasoned writers that you can achieve a stellar grade without getting down a rough route, thanks to Studyfy.

How to write a term paper if there is a word count?

A word count may be a bummer for some, but it can motivate you to budget how you will use your words efficiently. Make sure to allocate several words strategically. It is recommended that the discussion section gets the highest allocation among all the term paper sections.

Your research and writing process can be influenced by the term paper format and word count. As academic papers often have a specific set of rules, make sure to follow them to the dot.

What is the general structure of a term paper? Is it the same as a research paper?

The universally accepted structure of a term paper is quite similar to a research report: title page, rationale/background, literature review, methodology, results and discussion, and references. An appendices section is optional but necessary for other fields of interest.

A good term paper is like a good research paper. Research papers, like other academic papers, follow the named predictable pattern; just make sure to present your own research through engaging body paragraphs and state primary and secondary sources, including other research papers you used while writing.

Are term papers similar to research papers? How similar and different is the writing process?

Term paper writing is similar to research writing in terms of structure and purpose. However, they differ in scope, audience, and length. While a term paper has a broader scope and is meant to be seen by the course instructor, a research paper has a narrower scope and is written for a wider academic audience. However, what's crucial is the thorough research process.

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How to Write a Term Paper From Start to Finish

The term paper, often regarded as the culmination of a semester's hard work, is a rite of passage for students in pursuit of higher education. Here's an interesting fact to kick things off: Did you know that the term paper's origins can be traced back to ancient Greece, where scholars like Plato and Aristotle utilized written works to explore and document their philosophical musings? Just as these great minds once wrote their thoughts on parchment, you, too, can embark on this intellectual voyage with confidence and skill.

How to Write a Term Paper: Short Description

In this article, we'll delve into the core purpose of this kind of assignment – to showcase your understanding of a subject, your research abilities, and your capacity to communicate complex ideas effectively. But it doesn't stop there. We'll also guide you in the art of creating a well-structured term paper format, a roadmap that will not only keep you on track but also ensure your ideas flow seamlessly and logically. Packed with valuable tips on writing, organization, and time management, this resource promises to equip you with the tools needed to excel in your academic writing.

Understanding What Is a Term Paper

A term paper, a crucial component of your college education, is often assigned towards the conclusion of a semester. It's a vehicle through which educators gauge your comprehension of the course content. Imagine it as a bridge between what you've learned in class and your ability to apply that knowledge to real-world topics.

For instance, in a history course, you might be asked to delve into the causes and consequences of a significant historical event, such as World War II. In a psychology class, your term paper might explore the effects of stress on mental health, or in an environmental science course, you could analyze the impact of climate change on a specific region.

Writing a term paper isn't just about summarizing facts. It requires a blend of organization, deep research, and the art of presenting your findings in a way that's both clear and analytical. This means structuring your arguments logically, citing relevant sources, and critically evaluating the information you've gathered.

For further guidance, we've prepared an insightful guide for you authored by our expert essay writer . It's brimming with practical tips and valuable insights to help you stand out in this academic endeavor and earn the recognition you deserve.

How to Start a Term Paper

Before you start, keep the guidelines for the term paper format firmly in mind. If you have any doubts, don't hesitate to reach out to your instructor for clarification before you begin your research and writing process. And remember, procrastination is your worst enemy in this endeavor. If you're aiming to produce an exceptional piece and secure a top grade, it's essential to plan ahead and allocate dedicated time each day to work on it. Now, let our term paper writing services provide you with some valuable tips to help you on your journey:

• Hone Your Topic : Start by cultivating a learning mindset that empowers you to effectively organize your thoughts. Discover how to research a topic in the section below.
• Hook Your Readers: Initiate a brainstorming session and unleash a barrage of creative ideas to captivate your audience right from the outset. Pose intriguing questions, share compelling anecdotes, offer persuasive statistics, and more.
• Craft a Concise Thesis Statement Example : If you find yourself struggling to encapsulate the main idea of your paper in just a sentence or two, it's time to revisit your initial topic and consider narrowing it down.
• Understand Style Requirements: Your work must adhere to specific formatting guidelines. Delve into details about the APA format and other pertinent regulations in the section provided.
• Delve Deeper with Research : Equipped with a clearer understanding of your objectives, dive into your subject matter with a discerning eye. Ensure that you draw from reputable and reliable sources.
• Begin Writing: Don't obsess over perfection from the get-go. Just start writing, and don't worry about initial imperfections. You can always revise or remove those early sentences later. The key is to initiate the term papers as soon as you've amassed sufficient information.

Ace your term paper with EssayPro 's expert help. Our academic professionals are here to guide you through every step, ensuring your term paper is well-researched, structured, and written to the highest standards.

Term Paper Topics

Selecting the right topic for your term paper is a critical step, one that can significantly impact your overall experience and the quality of your work. While instructors sometimes provide specific topics, there are instances when you have the freedom to choose your own. To guide you on how to write a term paper, consider the following factors when deciding on your dissertation topics :

• Relevance to Assignment Length: Begin by considering the required length of your paper. Whether it's a substantial 10-page paper or a more concise 5-page one, understanding the word count will help you determine the appropriate scope for your subject. This will inform whether your topic should be broad or more narrowly focused.
• Availability of Resources : Investigate the resources at your disposal. Check your school or community library for books and materials that can support your research. Additionally, explore online sources to ensure you have access to a variety of reference materials.
• Complexity and Clarity : Ensure you can effectively explain your chosen topic, regardless of how complex it may seem. If you encounter areas that are challenging to grasp fully, don't hesitate to seek guidance from experts or your professor. Clarity and understanding are key to producing a well-structured term paper.
• Avoiding Overused Concepts : Refrain from choosing overly trendy or overused topics. Mainstream subjects often fail to captivate the interest of your readers or instructors, as they can lead to repetitive content. Instead, opt for a unique angle or approach that adds depth to your paper.
• Manageability and Passion : While passion can drive your choice of topic, it's important to ensure that it is manageable within the given time frame and with the available resources. If necessary, consider scaling down a topic that remains intriguing and motivating to you, ensuring it aligns with your course objectives and personal interests.

Worrying About the Quality of Your Upcoming Essay?

"Being highly trained professionals, our writers can provide term paper help by creating a paper specifically tailored to your needs.

Term Paper Outline

Before embarking on the journey of writing a term paper, it's crucial to establish a well-structured outline. Be mindful of any specific formatting requirements your teacher may have in mind, as these will guide your outline's structure. Here's a basic format to help you get started:

• Cover Page: Begin with a cover page featuring your name, course number, teacher's name, and the deadline date, centered at the top.
• Abstract: Craft a concise summary of your work that informs readers about your paper's topic, its significance, and the key points you'll explore.
• Introduction: Commence your term paper introduction with a clear and compelling statement of your chosen topic. Explain why it's relevant and outline your approach to addressing it.
• Body: This section serves as the meat of academic papers, where you present the primary findings from your research. Provide detailed information about the topic to enhance the reader's understanding. Ensure you incorporate various viewpoints on the issue and conduct a thorough analysis of your research.
• Results: Share the insights and conclusions that your research has led you to. Discuss any shifts in your perspective or understanding that have occurred during the course of your project.
• Discussion: Conclude your term paper with a comprehensive summary of the topic and your findings. You can wrap up with a thought-provoking question or encourage readers to explore the subject further through their own research.

How to Write a Term Paper with 5 Steps

Before you begin your term paper, it's crucial to understand what a term paper proposal entails. This proposal serves as your way to introduce and justify your chosen topic to your instructor, and it must gain approval before you start writing the actual paper.

In your proposal, include recent studies or research related to your topic, along with proper references. Clearly explain the topic's relevance to your course, outline your objectives, and organize your ideas effectively. This helps your instructor grasp your term paper's direction. If needed, you can also seek assistance from our expert writers and buy term paper .

Draft the Abstract

The abstract is a critical element while writing a term paper, and it plays a crucial role in piquing the reader's interest. To create a captivating abstract, consider these key points from our dissertation writing service :

• Conciseness: Keep it short and to the point, around 150-250 words. No need for lengthy explanations.
• Highlight Key Elements: Summarize the problem you're addressing, your research methods, and primary findings or conclusions. For instance, if your paper discusses the impact of social media on mental health, mention your research methods and significant findings.
• Engagement: Make your abstract engaging. Use language that draws readers in. For example, if your paper explores the effects of artificial intelligence on the job market, you might begin with a question like, 'Is AI revolutionizing our work landscape, or should we prepare for the robots to take over?'
• Clarity: Avoid excessive jargon or technical terms to ensure accessibility to a wider audience.

Craft the Introduction

The introduction sets the stage for your entire term paper and should engage readers from the outset. To craft an intriguing introduction, consider these tips:

• Hook Your Audience: Start with a captivating hook, such as a thought-provoking question or a compelling statistic. For example, if your paper explores the impact of smartphone addiction, you could begin with, 'Can you remember the last time you went a whole day without checking your phone?'
• State Your Purpose: Clearly state the purpose of your paper and its relevance. If your term paper is about renewable energy's role in combating climate change, explain why this topic is essential in today's world.
• Provide a Roadmap: Briefly outline how your paper is structured. For instance, if your paper discusses the benefits of mindfulness meditation, mention that you will explore its effects on stress reduction, emotional well-being, and cognitive performance.
• Thesis Statement: Conclude your introduction with a concise thesis statement that encapsulates the central argument or message of your paper. In the case of a term paper on the impact of online education, your thesis might be: 'Online education is revolutionizing learning by providing accessibility, flexibility, and innovative teaching methods.'

Develop the Body Sections: Brainstorming Concepts and Content

Generate ideas and compose text: body sections.

The body of your term paper is where you present your research, arguments, and analysis. To generate ideas and write engaging text in the body sections, consider these strategies from our research paper writer :

• Structure Your Ideas: Organize your paper into sections or paragraphs, each addressing a specific aspect of your topic. For example, if your term paper explores the impact of social media on interpersonal relationships, you might have sections on communication patterns, privacy concerns, and emotional well-being.
• Support with Evidence: Back up your arguments with credible evidence, such as data, research findings, or expert opinions. For instance, when discussing the effects of social media on mental health, you can include statistics on social media usage and its correlation with anxiety or depression.
• Offer Diverse Perspectives: Acknowledge and explore various viewpoints on the topic. When writing about the pros and cons of genetic engineering, present both the potential benefits, like disease prevention, and the ethical concerns associated with altering human genetics.
• Use Engaging Examples: Incorporate real-life examples to illustrate your points. If your paper discusses the consequences of climate change, share specific instances of extreme weather events or environmental degradation to make the topic relatable.
• Ask Thought-Provoking Questions: Integrate questions throughout your text to engage readers and stimulate critical thinking. In a term paper on the future of artificial intelligence, you might ask, 'How will AI impact job markets and the concept of work in the coming years?'

Formulate the Conclusion

The conclusion section should provide a satisfying wrap-up of your arguments and insights. To craft a compelling term paper example conclusion, follow these steps:

• Revisit Your Thesis: Begin by restating your thesis statement. This reinforces the central message of your paper. For example, if your thesis is about the importance of biodiversity conservation, reiterate that biodiversity is crucial for ecological balance and human well-being.
• Summarize Key Points: Briefly recap the main points you've discussed in the body of your paper. For instance, if you've been exploring the impact of globalization on local economies, summarize the effects on industries, job markets, and cultural diversity.
• Emphasize Your Main Argument: Reaffirm the significance of your thesis and the overall message of your paper. Discuss why your findings are important or relevant in a broader context. If your term paper discusses the advantages of renewable energy, underscore its potential to combat climate change and reduce our reliance on fossil fuels.
• Offer a Thoughtful Reflection: Share your own reflections or insights about the topic. How has your understanding evolved during your research? Have you uncovered any unexpected findings or implications? If your paper discusses the future of space exploration, consider what it means for humanity's quest to explore the cosmos.
• End with Impact: Conclude your term paper with a powerful closing statement. You can leave the reader with a thought-provoking question, a call to action, or a reflection on the broader implications of your topic. For instance, if your paper is about the ethics of artificial intelligence, you could finish by asking, 'As AI continues to advance, what ethical considerations will guide our choices and decisions?'

Edit and Enhance the Initial Draft

After completing your initial draft, the revision and polishing phase is essential for improving your paper. Here's how to refine your work efficiently:

• Take a Break: Step back and return to your paper with a fresh perspective.
• Structure Check: Ensure your paper flows logically and transitions smoothly from the introduction to the conclusion.
• Clarity and Conciseness: Trim excess words for clarity and precision.
• Grammar and Style: Proofread for errors and ensure consistent style.
• Citations and References: Double-check your citations and reference list.
• Peer Review: Seek feedback from peers or professors for valuable insights.
• Enhance Intro and Conclusion: Make your introduction and conclusion engaging and impactful.
• Coherence Check: Ensure your arguments support your thesis consistently.
• Read Aloud: Reading your paper aloud helps identify issues.
• Final Proofread: Perform a thorough proofread to catch any remaining errors.

Term Paper Format

When formatting your term paper, consider its length and the required citation style, which depends on your research topic. Proper referencing is crucial to avoid plagiarism in academic writing. Common citation styles include APA and MLA.

If unsure how to cite term paper for social sciences, use the APA format, including the author's name, book title, publication year, publisher, and location when citing a book.

For liberal arts and humanities, MLA is common, requiring the publication name, date, and location for referencing.

Adhering to the appropriate term paper format and citation style ensures an organized and academically sound paper. Follow your instructor's guidelines for a polished and successful paper.

Term Paper Example

To access our term paper example, simply click the button below.

The timeline of events from 1776 to 1861, that, in the end, prompted the American Civil War, describes and relates to a number of subjects modern historians acknowledge as the origins and causes of the Civil War. In fact, pre-Civil War events had both long-term and short-term influences on the War—such as the election of Abraham Lincoln as the American president in 1860 that led to the Fall of Fort Sumter in April of the same year. In that period, contentions that surrounded states’ rights progressively exploded in Congress—since they were the initial events that formed after independence. Congress focused on resolving significant issues that affected the states, which led to further issues. In that order, the US’s history from 1776 to 1861 provides a rich history, as politicians brought forth dissimilarities, dissections, and tensions between the Southern US & the people of slave states, and the Northern states that were loyal to the Union. The events that unfolded from the period of 1776 to 1861 involved a series of issues because they promoted the great sectional crisis that led to political divisions and the build-up to the Civil War that made the North and the South seem like distinctive and timeless regions that predated the crisis itself.

Final Thoughts

In closing, approach the task of writing term papers with determination and a positive outlook. Begin well in advance, maintain organization, and have faith in your capabilities. Don't hesitate to seek assistance if required, and express your individual perspective with confidence. You're more than capable of succeeding in this endeavor!

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What is the Difference between a Term Paper and a Research Paper?

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Everything You Need to Know to Write an A+ Term Paper

Last Updated: March 4, 2024 Fact Checked

Sample Term Papers

Researching & outlining.

• Drafting Your Paper
• Revising Your Paper

Expert Q&A

This article was co-authored by Matthew Snipp, PhD and by wikiHow staff writer, Raven Minyard, BA . C. Matthew Snipp is the Burnet C. and Mildred Finley Wohlford Professor of Humanities and Sciences in the Department of Sociology at Stanford University. He is also the Director for the Institute for Research in the Social Science’s Secure Data Center. He has been a Research Fellow at the U.S. Bureau of the Census and a Fellow at the Center for Advanced Study in the Behavioral Sciences. He has published 3 books and over 70 articles and book chapters on demography, economic development, poverty and unemployment. He is also currently serving on the National Institute of Child Health and Development’s Population Science Subcommittee. He holds a Ph.D. in Sociology from the University of Wisconsin—Madison. There are 13 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 2,228,886 times.

A term paper is a written assignment given to students at the end of a course to gauge their understanding of the material. Term papers typically count for a good percentage of your overall grade, so of course, you’ll want to write the best paper possible. Luckily, we’ve got you covered. In this article, we’ll teach you everything you need to know to write an A+ term paper, from researching and outlining to drafting and revising.

Quick Steps to Write a Term Paper

• Hook your readers with an interesting and informative intro paragraph. State your thesis and your main points.
• Support your thesis by providing quotes and evidence that back your claim in your body paragraphs.
• Summarize your main points and leave your readers with a thought-provoking question in your conclusion.

• Think of your term paper as the bridge between what you’ve learned in class and how you apply that knowledge to real-world topics.
• For example, a history term paper may require you to explore the consequences of a significant historical event, like the Civil War. An environmental science class, on the other hand, may have you examine the effects of climate change on a certain region.
• Your guidelines should tell you the paper’s word count and formatting style, like whether to use in-text citations or footnotes and whether to use single- or double-spacing. If these things aren’t specified, be sure to reach out to your instructor.

• Make sure your topic isn’t too broad. For example, if you want to write about Shakespeare’s work, first narrow it down to a specific play, like Macbeth , then choose something even more specific like Lady Macbeth’s role in the plot.
• If the topic is already chosen for you, explore unique angles that can set your content and information apart from the more obvious approaches many others will probably take. [3] X Research source
• Try not to have a specific outcome in mind, as this will close you off to new ideas and avenues of thinking. Rather than trying to mold your research to fit your desired outcome, allow the outcome to reflect a genuine analysis of the discoveries you made. Ask yourself questions throughout the process and be open to having your beliefs challenged.
• Reading other people's comments, opinions, and entries on a topic can often help you to refine your own, especially where they comment that "further research" is required or where they posit challenging questions but leave them unanswered.

• For example, if you’re writing a term paper about Macbeth , your primary source would be the play itself. Then, look for other research papers and analyses written by academics and scholars to understand how they interpret the text.

• For example, if you’re writing a paper about Lady Macbeth, your thesis could be something like “Shakespeare’s characterization of Lady Macbeth reveals how desire for power can control someone’s life.”
• Remember, your research and thesis development doesn’t stop here. As you continue working through both the research and writing, you may want to make changes that align with the ideas forming in your mind and the discoveries you continue to unearth.
• On the other hand, don’t keep looking for new ideas and angles for fear of feeling confined. At some point, you’re going to have to say enough is enough and make your point. You may have other opportunities to explore these questions in future studies, but for now, remember your term paper has a finite word length and an approaching due date!

• Abstract: An abstract is a concise summary of your paper that informs readers of your topic, its significance, and the key points you’ll explore. It must stand on its own and make sense without referencing outside sources or your actual paper.
• Introduction: The introduction establishes the main idea of your paper and directly states the thesis. Begin your introduction with an attention-grabbing sentence to intrigue your readers, and provide any necessary background information to establish your paper’s purpose and direction.
• Body paragraphs: Each body paragraph focuses on a different argument supporting your thesis. List specific evidence from your sources to back up your arguments. Provide detailed information about your topic to enhance your readers’ understanding. In your outline, write down the main ideas for each body paragraph and any outstanding questions or points you’re not yet sure about.
• Results: Depending on the type of term paper you’re writing, your results may be incorporated into your body paragraphs or conclusion. These are the insights that your research led you to. Here you can discuss how your perspective and understanding of your topic shifted throughout your writing process.
• Conclusion: Your conclusion summarizes your argument and findings. You may restate your thesis and major points as you wrap up your paper.

Drafting Your Term Paper

• Writing an introduction can be challenging, but don’t get too caught up on it. As you write the rest of your paper, your arguments might change and develop, so you’ll likely need to rewrite your intro at the end, anyway. Writing your intro is simply a means of getting started and you can always revise it later. [10] X Trustworthy Source PubMed Central Journal archive from the U.S. National Institutes of Health Go to source
• Be sure to define any words your readers might not understand. For example, words like “globalization” have many different meanings depending on context, and it’s important to state which ones you’ll be using as part of your introductory paragraph.

• Try to relate the subject of the essay (say, Plato’s Symposium ) to a tangentially related issue you happen to know something about (say, the growing trend of free-wheeling hookups in frat parties). Slowly bring the paragraph around to your actual subject and make a few generalizations about why this aspect of the book/subject is so fascinating and worthy of study (such as how different the expectations for physical intimacy were then compared to now).

• You can also reflect on your own experience of researching and writing your term paper. Discuss how your understanding of your topic evolved and any unexpected findings you came across.

• While peppering quotes throughout your text is a good way to help make your point, don’t overdo it. If you use too many quotes, you’re basically allowing other authors to make the point and write the paper for you. When you do use a quote, be sure to explain why it is relevant in your own words.
• Try to sort out your bibliography at the beginning of your writing process to avoid having a last-minute scramble. When you have all the information beforehand (like the source’s title, author, publication date, etc.), it’s easier to plug them into the correct format.

Revising & Finalizing Your Term Paper

• Trade in weak “to-be” verbs for stronger “action” verbs. For example: “I was writing my term paper” becomes “I wrote my term paper.”

• It’s extremely important to proofread your term paper. If your writing is full of mistakes, your instructor will assume you didn’t put much effort into your paper. If you have too many errors, your message will be lost in the confusion of trying to understand what you’ve written.

• If you add or change information to make things clearer for your readers, it’s a good idea to look over your paper one more time to catch any new typos that may have come up in the process.

• The best essays are like grass court tennis—the argument should flow in a "rally" style, building persuasively to the conclusion. Thanks Helpful 0 Not Helpful 0
• If you get stuck, consider giving your professor a visit. Whether you're still struggling for a thesis or you want to go over your conclusion, most instructors are delighted to help and they'll remember your initiative when grading time rolls around. Thanks Helpful 0 Not Helpful 0
• At least 2 hours for 3-5 pages.
• At least 4 hours for 8-10 pages.
• At least 6 hours for 12-15 pages.
• Double those hours if you haven't done any homework and you haven't attended class.
• For papers that are primarily research-based, add about two hours to those times (although you'll need to know how to research quickly and effectively, beyond the purview of this brief guide).

You Might Also Like

• ↑ https://www.binghamton.edu/counseling/self-help/term-paper.html
• ↑ Matthew Snipp, PhD. Research Fellow, U.S. Bureau of the Census. Expert Interview. 26 March 2020.
• ↑ https://emory.libanswers.com/faq/44525
• ↑ https://writing.wisc.edu/handbook/assignments/planresearchpaper/
• ↑ https://owl.purdue.edu/owl/general_writing/the_writing_process/thesis_statement_tips.html
• ↑ https://libguides.usc.edu/writingguide/outline
• ↑ https://gallaudet.edu/student-success/tutorial-center/english-center/writing/guide-to-writing-introductions-and-conclusions/
• ↑ https://www.ncbi.nlm.nih.gov/pubmed/26731827
• ↑ https://writing.wisc.edu/handbook/assignments/writing-an-abstract-for-your-research-paper/
• ↑ https://www.ivcc.edu/stylesite/Essay_Title.pdf
• ↑ https://www.uni-flensburg.de/fileadmin/content/institute/anglistik/dokumente/downloads/how-to-write-a-term-paper-daewes.pdf
• ↑ https://library.sacredheart.edu/c.php?g=29803&p=185937
• ↑ https://www.cornerstone.edu/blog-post/six-steps-to-really-edit-your-paper/

About This Article

If you need to write a term paper, choose your topic, then start researching that topic. Use your research to craft a thesis statement which states the main idea of your paper, then organize all of your facts into an outline that supports your thesis. Once you start writing, state your thesis in the first paragraph, then use the body of the paper to present the points that support your argument. End the paper with a strong conclusion that restates your thesis. For tips on improving your term paper through active voice, read on! Did this summary help you? Yes No

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How to Write a Term Paper: A Complete Guide With Examples

You just got your term paper assignment and have no idea what to do or how to start? This guide will navigate you through every step of the process, from idea formation to final editing and proofreading. We will start with outlining, drafting and brainstorming, and get you through the writing part in no time. So, let’s dive into the question of how to write a term paper.

If you want to know everything you will need about term papers, this guide, written by the writers at the best essay writing service will help you along.

Table of Contents

What is a term paper.

A term paper is an academic milestone more so than anything else. As a student, you are tasked with learning and then transmitting that knowledge to others. A term paper is just that, a way to show what you have learnt, and disseminate the knowledge to others. Unlike other types of academic writing , a term paper is more detailed, requires more research, and is generally seen as the hardest piece of written work aside from a thesis.

The aim of a term paper is to showcase your understanding of the subject matter and how well you handle pressure and deadlines. In this context, a term paper proves invaluable. In terms of scope, term papers may zero in on an important historical event – if you’re studying history – a scientific concept, or a contentious argument. The choice hinges on the prompt created by your academic advisor. The typical length of a term paper can stretch to five or seven pages, and is generally the prerequisite to attend end-of-semester examination. But, it is also a part of the weighted grade you’ll receive, which only adds to its importance.

For the average student, writing a term paper takes around two weeks, and is a process many do not fully understand. Term paper starts from a very basic element, a question.

Say your teacher wants you to analyze the arguments for and against US involvement in World War II. How would you start? By asking a question; something like: Why did the US enter the war? Or, why did the US waive its neutrality and entered the war.

This opens the door for you and allows you to find an article or two that then leads to the second step, and so on and so on, until you are done. The problem is many students do not know how the process works, or what skills are needed to get the job done. To write an excellent paper you need to plan carefully, adapt to new conditions, be analytical yet persuasive, and understand how referencing works. In addition, the paper has to be formatted to specifications of your chosen citation style – APA, MLA, Chicago/Turabian, Harvard, etc. This is a lot of work!

What is the Purpose of a Term Paper

At its core, a term paper serves to test your ability to understand arguments and defend them using written constructs within a pre-determined time period. Put simply, it tests your ability to navigate complex ideas when faced with a deadline – something that comes in handy in almost every job you’ll ever have later in life. If you can understand a complex event, a scientific theory, or a debatable stance, based on the directive from your academic mentor, you can manage pretty much anything that is thrown your way.

A typical term paper will be between five to seven pages, and represents the pinnacle of writing tasks in the semester. The process of term paper writing, even when the topic is prescribed, can be an arduous and time-consuming undertaking. To succeed you need meticulous planning, good composition skills, and scrupulous analysis, structure, and edit

Doing the Basics Right Saves You Time

As Seneca famously said, “Luck Is What Happens When Preparation Meets Opportunity.” In short, prepare, prepare, prepare. To create a perfect term paper you need to know, well in advance, how it will look, what will it be about, and how will it be structured. This then allows you to simply fill in the blanks as you go. But, if you start a day before submission, you’re toast – or, you can always ask for help from us J – because the result will be Red Bull frenzy induced compilation of internet’s best hits. And trust me when I say, your teacher has those stored in memory; you’re not the first student to turn a deaf ear on old Seneca….

So, let’s see how to start your term paper:

• Select your topic – If possible choose something that you’re personally interested in. When you choose early, all the good topics are still free, so keep that in mind.
• Research your topic – Once chosen, sit at your computer and run through Google Scholar or your University Library for anything that pops up when you type in your exact topic.
• Create an outline – When you have a basic understanding of the topic, prepare an outline. It’s always going to be fairly standard, so once you get it right, you can re-use whenever you need to in the future.
• Thesis statement – Now starts the tricky part. Just kidding, this is still the Top Lane, we’re not even close to the Jungle. Thesis statements are always pretty similar. Jolt down your guiding question and then, based on what you’ve read, write a one sentence argument. For example, if writing about solar and wind, you might go with: Solar and wind power are the future of energy production because fossil fuels are unsustainable.
• Topics, topic sentences, and paragraphs – Every paragraph starts with a topic sentence that describes what the paragraph is talking about. The easiest way to understand is this. If writing a paper about wind and solar, you would need at least three topic sentences – 1)Wind 2)Solar 3)Benefits of using wind and solar. Naturally, a term paper needs much more than just three, but you get the idea.
•   Conclusion – Once you’ve written down the topic sentences and outlined the paper, note your own expectations of what you’ll find in the conclusion. This will help you understand what is happening, and when you’re actually writing the conclusion it will tell you if you were right or wrong.

Pro tip: If all of this is too much for you, there is always the possibility of asking professionals for help. Our team of term paper writers are here to help, so feel free to reach out!

Structure of a Term Paper

As you’ve probably guessed by now, every paper has to have a specific structure. In general, you can expect to have at least three parts – introduction, body, and a conclusion. However, longer papers may need several sub-sections, perhaps even an abstract or a summary, and a page dedicated to bibliography.

A typical term paper has three to five body paragraphs that form the backbone of your arguments and analytical discourse. A bibliography is always needed, even if your sources predominantly comprise course materials or excerpts from consulted textbooks. Depending on the chosen style, you will need either a Works Cited page (MLA), a Reference page (APA) or a Bibliography (Harvard, Chicago). Given its pivotal role in determining your final course grade, make sure to adhere to the highest writing and editing standards.

Term Paper Outline

• Title page – this is where you enter your name, teacher name, school, class, and date. The formatting will depend on your chosen style
• Introduction – Introduction sets the stage for your arguments. This is where you present statistics, define helpful terms, and finally present your thesis statement. IMPORTANT: Thesis statement is always the last sentence in the introduction.
• Body 1: Historical setting or development
• Body 2: Current state of knowledge about the problem
• Body 3: Main argument and potential implications
• Body 4: Argument for
• Body 5: Argument against
• Body 6: Summary
• Conclusion : Bring all of the body arguments together and restate your thesis statement.
• Bibliography : Provide references for all sources cited in the term paper using the style of your choice

Now let’s get to the nitty gritty of the writing process.

Topic Selection – In most cases teachers or instructors will provide students with a list of pre-approved topics to choose from. But, in some cases you will get the opportunity to choose for yourself. This is both a blessing and a curse, because it can lead you into a deep pit of despair if you are not careful.

Length – Every paper will have an assigned length. You should never go under the minimum or the maximum word/page count, as that will take points away from your final score. If the prompt asks for 10 pages, write that.

Sources – Consult your school library, Google Scholar, and any other database that has access to journals and books on your topic.

Simplify – While it is admirable to be able to write in a high-brow voice, it’s much better to use plain language as much as possible, but staying within the confines of academic jargon. No don’t’s, couldnt’s, or should’ve. If something is too complicated to explain simply, you do not understand it properly. Ask for clarification.

Do not be afraid to wander – Choosing a common topic may be a safe bet, but your teacher will grade you higher if you take a topic nobody else even though about. Brownie points are there for the taking. Just make sure you know what you’re talking about!

Don’t overextend – While the entire combined histories of all monastic orders may seem like an interesting topic (well, to us at least), it is waaaaaaay too broad to cover in 5 or 10 pages. Heck, that would probably take an entire compendium with multiple volumes. In short, don’t be a megalomaniac and choose a topic that fits in 5 pages.

How to Write a Term Paper: The Writing Process

Before starting your write up, the teacher will expect a proposal. This is a very short summary of the topic, your thesis statement, and a few sources. The goal is to present a topic that you can defend and ask the teacher to approve it.

So how do you write a proposal? Start by writing down your thesis statement and guiding question. Then identify three to four sources and jolt down key statistics and pieces of information that are linked to your thesis statement. The goal is to show you’ve done the work. The proposal will generally have a full outline (see above) so that the teacher knows what you are planning to do. If you explain what the topic is and why it is important in writing , the teacher will accept the proposal.

Introduction, well, Introduces the Term Paper

Your essay has to start strong, which is why 99.99%  of all introductions start with a hook that captivates the audience. A hook can be anything, a statistic (like 40% of people in the US have no savings whatsoever, which means around 140 million people are completely broke – now that’s a hook, line, and sinker).

Once you know the reader is hooked, you present a brief overview of the topic you will discuss. This is where you bring statistics, data, and broader theories or concepts that may relate.

The end of the introduction is always reserved for the thesis statement, which is the last sentence of the introduction.

Try to be concise – not more than ¾ of a page (cca 200-250 words), but detailed enough so that the reader understands what the paper is about.

Writing the Body Sections

When you are certain you can understand the concepts and arguments presented in the literature, it’s time to write your body paragraphs.

The goal is to provide the reader with enough context and argumentation to prove your point. So, if you’re writing about the advantages of nuclear energy, you have to provide evidence from the literature as well as a thorough analysis of all benefits and drawbacks. The goal is to be as objective as possible, while ensuring your results are accurate.

Do not dwell on too much detail, you cannot fit all of the information in a 5 – 10 page paper. Isolate the most important pieces of evidence, maybe 3-4 and focus on those.

As a rule of thumb, you will aim for 4 – 5 body paragraphs minimum, but in most cases you will need more. The first section should be the literature review, where you analyze state-of-the-art of the topic you are writing about.

Following the literature review is your analysis, which draws from the information you’ve collected. It’s important to note, do not try and make up new stuff, or draw conclusions in this section. Simply analyze and summarize the findings in your own voice.

The last paragraph of the body section can be your own summary, where you present a different opinion. Be concise and do not go into too much detail, simply note if you think there are any discrepancies in the literature.

Remember : Always start your paragraphs with a topic sentence and try to contain the information within the paragraph to the topic.

Writing the Conclusion

Conclusion is the most important part of the term paper, even though many do not give it enough attention. This is where you put everything you’ve written together and summarize key findings.

Important : Conclusion is not the place to add new information or knowledge!

To write a good conclusion keep in mind your initial research question and thesis statement. The goal of the term paper is to answer the question and prove your thesis statement is correct. Has your paper done this? Write it down and explain why or why not your initial proposal was correct. A thesis statement can be wrong, and you must acknowledge this in your conclusion.

In the conclusion:

• Summarize your findings
• Discuss implications for future reseasrch

Editing and Finalization

The final word of the conclusion has been written, references added and alphabetized, the paper and the title page formatted. You are finally done. Or, maybe not! Now is the time for the final edit.

Teachers, above everything else, hate reading papers with spelling mistakes and poor grammar. To make sure your paper does not annoy the teacher (you don’t want a lower grade), make sure it is completely free of any errors.

The best way to do this is by using a machine learning tool combined with close reading on your own. The machine will weed out the glaring errors, and you will finish the job.

Read through the draft carefully. Remove any fluff or excess words that add nothing to the argument. You will likely find several sentences you will want to change. Do this now. Once done, start the second read-through.

In this read-through you will hone in on the arguments. Do they make sense? Are statistics properly cited, and do you sound coherent? If the answer is no, you will want to fix the mistakes until satisfied.

Now, finally, you are done! Congratulations. Pat yourself on the back. Oh, wait, we forgot about the abstract!

Abstract Comes First, or Last

In no uncertain terms, do not write the abstract before you’ve completed the term paper. This is always the last part of the writing process, but strangely enough the one your paper starts with. Go figure.

When you do get to this stage, use our secret formula. Well, it’s not really secret but we like to think so. The abstract needs three parts to work well, the introduction, the method/procedure, and the conclusion/findings. Depending on the topic these will vary slightly but you will always find them in an abstract.

Introduce your topic and what you plan to do in two to three sentences.

Describe what method you will use – such as literature review, an experiment, or something else. Two to three sentences.

Define the results you obtained after using the method. Two to three sentences.

Remember : The abstract should be between 120 and 200 words in length, no more is needed.

No, they are not. A research paper is an original piece of writing that comes after some type of original research has been done. Maybe you’ve found a new civilization during a dig, or a new chemical element. The research paper is meant to publicize this finding so other scientists can critique, refute, or confirm its validity. A term paper is a much simpler version that requires no original research. But, a term paper is your preparation for writing a research paper later in life.

This will depend on your teacher. In many cases, you will get a pre-defined format to follow, such as APA, MLA, or Chicago. If not, we recommend using APA or Harvard, as they are relatively simple to learn and have a ton of resources to help you along.

It is important to remember you are not writing a book, so keep the topic narrow. For example, if writing about renewable energy, choose only one type of energy or just one region. Do not try to cram everything into 5-10 pages; it won’t work.

Writing a term paper is certainly a challenge, but it is also manageable if you dedicate yourself to the process. Prepare well in advance, read a lot, and do not be afraid to ask for help if you get stuck. Your teachers are paid to help you, so email them if you get stuck. Above everything, make sure you are interested in the topic, as that will make the process so much easier.

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• A Research Guide
• Writing Guide
• Assignment Writing

How to Write a Term Paper

• Purpose of a term paper
• How to start a term paper
• Structure and outline

Step-by-step writing guide

Standard term paper format.

• Term paper examples
• Writing tips

What is the purpose of a term paper?

How to start a term paper correctly.

• Choose your topic by focusing on what inspires you unless you are already given a topic.
• Take time to research and analyze your subject.
• Start with a term paper outline (see our templates in the next sections).
• Come up with a strong thesis statement before writing anything for body paragraphs.
• Provide topic sentences and practical examples.
• Provide a strong lesson in the conclusion if it suits the subject you write about.
• Edit and proofread available information for trustworthiness.

Term paper structure and outline

• Introduction. This is where you talk about the subject and a problem you are researching. It helps to introduce your thesis statement and explain the objectives that have been set.
• Body Paragraphs. As a rule, in writing college term papers, one must write down several subheadings and headings to divide ideas and arguments into several (at least four) paragraphs. As done below, each body paragraph should contain one idea and a strong topic sentence.
• Heading 1: History of the argument and background.
• Heading 2: Extent of the problem that you write about.
• Heading 3: Effects of the problem and possible causes.
• Heading 4: Possible solutions and outcomes.
• Conclusion. The final part should represent a strong summary and a response to your thesis statement.

Step 1: Data collection

Step 2: explaining research relevance, step 3: introducing your subject, step 4: literature review preparation, step 5: offering results and conclusions, step 6: structural term paper evaluation, step 7: check your citations and references.

Helpful term paper examples

• Term paper examples that earned an A grade from the University of Delaware
• Sample term paper offered by the Justus-Liebig Universitat Giessen
• Purdue Owl Lab Citation Formats Database
• Simon Fraser University Sample Term Paper

Term paper writing tips

• Choose a topic that inspires you if you have an opportunity. If you have been given an already existing prompt to write, research your subject online and ask about the use of course materials. It will help you to narrow things down and already have source materials for referencing purposes.
• If you can choose a subject to write a final paper for your course, think about something you can support with statistical data and some practical evidence.
• Most importantly, keep your term paper relevant to the main objectives of your study course.
• Keep your tone reflective and natural as you write.
• Double-check your grading rubric regarding limitations and obligatory requirements that must be met.
• Always proofread your term paper aloud!
• If you have an opportunity, consider editing your term paper with the help of a friend or a fellow college student.

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How to Research a Term Paper

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The term paper researching process

So, you wrote a great college admissions essay and were accepted at the university or college of your dreams. Now, you've been assigned your first term paper, and you don't know where to start!

The research process is an exploratory quest, a hunt for information that can be both exciting and rewarding. The word itself is derived from the French rechercher, which literally means "to investigate thoroughly." So, when embarking on writing a term paper or research paper, think of yourself as a detective. You will not only search for information but also delve into the whys and wherefores behind the subject material, seeking to provide elucidation through your term paper.

Select a topic for your term paper

Let's start at the beginning. The first step in the essay writing process is to decide on a worthy topic, choosing one that is interesting to you. Make a list of keywords—these are important words or phrases that encapsulate the essence of your topic. Good keywords will specifically describe your topic, but consider using closely related words, as well.  Use these keywords when searching print or electronic sources that you can use in your term paper.

Research your term paper topic

General-purpose reference books, such as encyclopedias and fact books, provide comprehensive summaries and suggestions for sub-topics, as well as related terminology. Although these books are not generally considered suitable sources to cite in a term paper, the bibliographies they contain can be very helpful. This initial reading may help you to narrow your interest, stimulate additional questions, and focus your research. We recommend the following general resources, as they are more global in scope:   The Oxford Companion to Politics of the World , CQ Researcher , the Political Handbook of the World, the Index to International Public Opinion, and World Opinion Update . These publications deal with particular topics, give summaries of various governments, or take other specialized approaches, which are generally considered acceptable sources to cite in a term paper.

The next step is to either narrow your topic (so you can deal with the amount of information) or to broaden it so you have enough to write about. You might have to pick a particular sub-topic and make that your area of interest, or combine certain aspects of a topic to create a narrower one. Decide the direction you want the research for your term paper to take. What are the most interesting aspects of the topic, and what do you want to learn? Be careful not to be too general. This term paper researching process will keep you from getting lost or sidetracked when searching for information.

Find suitable sources for your term paper

At this point, decide on the most likely sources of information—books, journal articles, newspapers, online databases, CD-ROM databases, interviews, etc. Dig around in the library and locate sources for your term paper. Use your library's computer access system to find books on your subject. Some topics may be so current that few, if any, books are available. If this is the case, research scholarly journals for up-to-date information and analyses. You should consult journals even for non-contemporary topics, since scholars may have unearthed new information or produced new analyses. You may also find valuable information published in the reports of a government agency, in hearings or reports of a government committee, or in the transcripts of the proceedings of a government body. The United Nations and a number of other international organizations also publish proceedings and reports.

Don't forget that when you locate the sources you want to use for your term paper, you should be trying to find answers to the questions you posed previously. Also, don't forget to make use of the reference librarian, who can help you to locate and use sources efficiently.

Get organized early! Keep track of your sources

It is very helpful to make notes about your sources on index cards or in an Excel spreadsheet . Such notes should include bibliographic information, page numbers for quotations, and source locations. This way, you can easily find the source of an idea, quote, reference, etc. Number these cards so you can link them to your term paper notes: this will make the references section of your report a snap to complete.

Remember—thoroughly peruse all the information you have gathered, making copious notes as you go. This preliminary research should answer basic factual questions, as well as interpretive ones, and should help you to refocus. Give yourself a reasonable amount of time to absorb all the information you've read.

Writing a research or term paper

In our follow-up article about writing a research paper , we explain the next steps in the term paper writing process. The article discusses your thesis statement, body of your paper, and your reference page. If you would like to learn more about essay writing, check out Scribendi's article   12 Ways to Quickly Improve Your Academic Essay Writing Skills .

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How to Write a Term Paper 101: A Tutorial to Takeover

As the end of the semester draws closer, many students are losing their sleep over the thought of writing a term paper. But you’re worrying pointlessly because  PaperPerk  has brought expert help to your doorstep! 

Our comprehensive guide on how to write a term paper is sure to help you with every step. So read this article thoroughly because we cover everything from definition to steps on composition and templates with examples.

Table of Contents

What Is a Term Paper?

A term paper is a written project required at the end of a semester. It is designed to evaluate a student’s knowledge and understanding of a particular subject. Typically, it takes the form of a discussion or analysis of an assigned topic. 

But it can also resemble a scientific report,  reflective essay , or even a research paper. As an essential component of a student’s academic journey, a term paper is characterized by its in-depth exploration of a specific subject matter.

Key Characteristics

One of the key features of a term paper is that it requires a significant amount of research , as it aims to provide a comprehensive understanding of the topic. This research-intensive nature of the term paper sets it apart from other academic assignments. 

Additionally, term papers demand technical writing skills, as they need to be well-organized, structured, and adhere to specific formatting requirements. A high-quality term paper should be well-written, thoroughly researched, and analytical. 

It should demonstrate critical thinking and provide valuable insights into the subject matter. With an Impactful term paper, a student showcases their ability to synthesize and analyze information, ultimately contributing to their overall academic success.

How to Write a Term Paper: A Comprehensive Guide

The biggest step in learning how to write a term paper is to understand the importance of creating a term paper outline. This  research paper outline  is the beacon that will guide through your writing process. The following part of this post contains steps on composing an outline and its component. 

How to Write a Term Paper: Outlining a Term Paper

Below are the essential components of an outline. Once you gather your information, you’ll incorporate it within these compartments to avoid creating a chaotic cluster of random data. 

Introduction

Let’s look at these a bit more closely and understand how to use these elements in the best way. 

Also known as the  title page , the cover page of a term paper is the first impression of the paper. It provides all the necessary information about the paper along with a neat and professional look. It should include the following information:

• Title of the paper
• Course name and code
• Instructor’s name
• Date of submission

Steps to compose a cover page:

• Centrally align the title of your paper in the middle of the page.
• Add your name, course name, and number below the title.
• Include your instructor’s name and the date of submission at the bottom.

You might be required to add more than these common elements if your professor asks you to. Many students additionally write the name of the university, department or other relevant details. 

The abstract is a brief summary of your term paper, usually between 150-250 words. It should highlight the main points, including the research question, methods, results, and conclusions. 

Using an  abstract  optimally allows readers to quickly grasp the main points and significance of your term paper. The abstract is usually placed at the beginning of the paper, right after the cover page. 

Steps to compose an abstract:

• Write a concise summary of your paper’s purpose and research question.
• Briefly describe the methods used in your research.
• Summarize the main findings or results.
• Conclude with a brief statement of your paper’s implications or significance.

Ensure that all the information you incorporate within your abstract accurately reflects the content and findings within your paper. Double-check that there is consistency between the abstract and the main body of the paper in terms of the research objectives, methodology, and conclusions. 

The  introduction  sets the stage for your term paper. It provides background information, states the research question, depicts the purpose of the study and explains the paper’s significance. 

Steps to compose an introduction:

• Begin with a hook to capture the reader’s attention.
• Provide background information on your topic.
• Clearly state your research question.
• Explain the significance of your research and its contribution to the field.

The body of your term paper is where you present your arguments , evidence, and analysis. It should be organized into sections or subheadings, each focusing on a specific aspect of your research.

Steps to compose the body:

• Organize your content into logical sections or subheadings.
• Present your arguments and support them with evidence from your research.
• Analyze the evidence and explain its relevance to your research question.
• Use appropriate citations to acknowledge the sources of your information.

The results section presents the outcomes and the findings of your research study. It should be clear, concise, and focused on the data collected during your study.

Steps to compose the results section:

• Summarize the data collected during your research.
• Use tables, charts, or graphs to visually represent your findings.
• Describe any patterns, trends, or relationships observed in the data.
• Ensure that your results are relevant to your research question.
• Avoid repetition of any information. 

The  discussion section  interprets the results of your term paper and explains their implications. It should also address any limitations of your research and suggest areas for future study.

Steps to compose the discussion section:

• Interpret your results and explain their significance.
• Discuss any limitations or weaknesses in your research.
• Compare your findings to previous studies and explain any differences.
• Suggest areas for future research based on your findings.

The  conclusion  brings your term paper to a close by summarizing the main points. This final section of your paper also restates the significance of your research.

Steps to compose a conclusion:

• Restate your research question and summarize the main points of your paper.
• Emphasize the significance of your research and its contribution to the field.
• Offer recommendations or suggestions for future research.
• End with a strong closing statement that leaves a lasting impression on the reader.

By following this comprehensive guide, you can write a well-structured and impactful term paper that demonstrates your understanding of the subject and contributes valuable insights to the field.

How to Write a Term Paper Proposal: A Tutorial

A term paper proposal serves as a blueprint for your research. It helps in organizing your thoughts and ideas. Lets focus on the essential features of a term paper proposal and understand steps on how to compose each part.

Essential Features of a Term Paper Proposal

Relevance and importance.

The title of your term paper proposal should attract your readers and provide them with a clear idea of your work. It should be clear, concise, and accurately reflect the subject of your research.

Steps to compose a title:

• Identify the main topic or theme of your research.
• Choose relevant keywords that represent the key concepts of your research.
• Combine these keywords to create a clear and informative title.
• Ensure that your  title  is not too long or overly complex.
• Consider your audience’s ability to understand your title.

The objectives section outlines the specific goals of your research. These goals should be clear, measurable, and achievable within the scope of your term paper.

Steps to compose objectives:

• Begin by stating the general purpose of your research.
• Break down this purpose into specific, measurable objectives.
• Ensure that your objectives are achievable within the timeframe and resources available for your term paper.
• Keep your objectives focused and relevant to your research question.

The relevance and importance section demonstrates the significance of your research within the context of your field of study. It should explain why your research is necessary and how it contributes to the existing body of knowledge.

Steps to compose the relevance and importance section:

• Explain the context of your research by providing background information on the topic.
• Identify gaps or limitations in the existing literature that your research aims to address.
• Explain how your research contributes to the field by offering new insights or perspectives.
• Emphasize the potential impact of your research on the broader academic community or society as a whole.

Putting It All Together: Writing a Term Paper Proposal

Now that you clearly understand the essential features of a term paper  proposal , it’s time to put it all together. Follow these steps to create a well-structured and compelling proposal:

• Begin by writing a clear and concise title that accurately reflects the subject of your research.
• Compose a brief introduction that overviews your research topic and its significance. This introduction should also include a clear statement of your research question.
• Outline the specific objectives of your research, ensuring that they are clear, measurable, and achievable within the scope of your term paper.
• Explain the relevance and importance of your research by demonstrating its significance within your field of study. Highlight the gaps or limitations in the existing literature that your research aims to address.
• Provide a brief overview of your research methodology, including the methods you plan to use for data collection and analysis.
• Include a tentative timeline for your research, outlining the milestones and deadlines for each project stage.
• Conclude your proposal with a summary of the main points and a restatement of the significance of your research.

By following these comprehensive steps, you can create a well-structured and persuasive term paper proposal that demonstrates the importance of your research and sets the stage for a successful term paper.

How to Write a Term Paper: Formatting

A term paper format refers to the set of rules and standards that dictate the structure and presentation of a term paper. Formatting is essential to learn how to write a term paper as it ensures consistency, enhances readability, and maintains a professional appearance. 

A proper structure allows readers to concentrate on the content rather than the presentation. Several formatting styles are used in term papers, with the American Psychological Association (APA) style and the Modern Language Association (MLA) style being the most common.

Using APA Style in a Term Paper:

• Choose a standard font, such as 11-point Calibri, 11-point Arial, or 12-point Times New Roman.
• Apply double-spacing throughout the paper, including the abstract, main text, quotes, tables, figures, and references.
• Create a title page containing the paper’s title, author’s name, affiliated institution, and a running head.
• Organize the content using headings that adhere to  APA guidelines for different heading levels.
• Incorporate the author-date citation method for in-text citations and format the reference list according to APA guidelines.

Using MLA Style in a Term Paper:

• Opt for a standard font, such as 12-point Times New Roman.
• Double-space the entire paper, including the main text, quotes, and the Works Cited page.
• Include a header with the last name of the author and page number on the top right corner of all pages.
• Use parenthetical citations within the text and format according to  MLA guidelines .
• Follow MLA guidelines for formatting headings and subheadings, if applicable.

Adhering to the appropriate style guide when formatting term papers is crucial for maintaining academic integrity and ensuring that your work is easily comprehended and properly cited.

Choosing the Perfect Term Paper Topics

Writing a term paper can be a daunting task, but choosing the right term paper topics can make all the difference. In this part, we will provide you with some useful tips and tricks to make the process as smooth as possible.

The Starting Point

In most cases, students are assigned term papers by their professors. These topics are related to course outline to assess pupil’s understanding of the course material. As well as their ability to think critically and conduct research on a specific subject. 

Other times, teachers provide students a chance to choose a topic of their liking. But before you go on and pick a topic for your term paper, put the following concerns at the forefront. 

• The course objective 
• Your own interest. 

The Course Objective

Your term paper is essentially assigned to assess your command on the subject. Prioritize your course outline or objective before picking your  research paper topics . This will ensure that your paper is relevant and reflects what you have learnt so far about the subject. 

Your Interests

Your personal interests play a significant role in the success of your term paper. When you choose a topic that genuinely interests you, you are more likely to engage in  writing a research paper . This enthusiasm will not only make the writing process more enjoyable but also result in a higher quality term paper. 

Before picking a specific topic, make sure to conduct thorough research and align your personal liking to your course objective. The following tips on how to pick the perfect term paper topic will assist you in acing your grade.

Tips for Choosing the Perfect Term Paper Topic

While picking a topic for yourself, be mindful of certain things:

Adjusting Topic Length

Consider if the topic would adjust your required length for a term paper. Suppose you’re to write a  10-page research paper , what kind of topic would adjust within those 10 pages? Registering the narrowness or broadness of the topic can help.

Authentic Resources

The second thing you need to consider is the resources of your information. Check if the source you’re working with is authentic. Reliable  sources for a research paper  include academic journals, books, think tanks, and reputable websites.

Complexity of the Subject

To ensure the clarity of your topic, consider its complexity. It is important that the chosen subject can be effectively presented to your audience. Additionally, ensure that you have a solid understanding of the subject matter yourself.

By considering the length, resources, and complexity of your chosen topic, you can ensure that your term paper is engaging, informative, and well-researched. So, take the time to select the perfect topic and get ready to ace your term paper!

How to Write a Term Paper: A Template With Example

This template also contains examples that are highlighted in a different color. 

Title Page 

Abstract .

• Remember to never exceed the abstract more than 250 words.

1.1 Background

1.2 problem statement, 1.3 objectives, 2. literature review, 3. methodology, 5. discussion, 6. conclusion, 7. references.

• The references section uses the appropriate citation style (e.g., APA, MLA, Chicago).

8. Appendices

• If necessary, this section includes additional material such as raw data, survey questionnaires, interview transcripts, or any other supplementary information that supports the research.

This guide on how to write a term paper must have been helpful to you. But we understand that wrapping your head around something so detailed can be difficult when you’re stressed out. And most students are stressed out by the end of the semester due to multiple deadlines.  That’s why we have brought you our  term paper writing service  so you can relax and focus more on your upcoming exams. Our experts are dedicated to helping students excel academically with quality content and on-time submission. Check us out today and bid goodbye to academic worries!

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Essential components of methods papers

Affiliations.

• 1 In vitro Toxicology and Biomedicine, Dept inaugurated by the Doerenkamp-Zbinden Foundation, University of Konstanz, Konstanz, Germany.
• 2 Konstanz Research School Chemical Biology (KoRS-CB) and Co-operative research training school 'Advanced in-vitro test systems for the analysis of cell-chemical interactions in drug discovery and environmental safety (inviTe)', University of Konstanz, Konstanz, Germany.
• 3 CAAT-Europe, University of Konstanz, Konstanz, Germany.
• 4 Leibniz Research Centre for Working Environment and Human Factors (IfADo), Technical University of Dortmund, Dortmund, Germany.
• 5 Archives of Toxicology, editor-in-chief, Heidelberg, Germany.
• PMID: 30008013
• DOI: 10.14573/altex.1807031

Methods papers are important for the progress of biomedical research, as they provide the essential tools to explore new questions and help to better answer old ones. However, it is often not clear how a methods paper differs from a methods protocol. Confusion between these two very different types of publication is widespread. The resultant misunderstanding contributes to a relatively poor reputation of methods research in biology despite the fact that many Nobel prizes have been awarded specifically for method development. Here, the key components of a methods paper are summarized: (i) methods description, (ii) performance standards, (iii) applicability domains, (iv) evidence for advances compared to the state-of-the-art, (v) exemplification of the method by practical application. In addition, information domains are discussed that are desirable but may be provided on a case-by-case basis or over the course of a series of papers: (vi) method robustness, (vii) accuracy and (viii) precision measures, including various quantifications of method performance, and (ix) measures of uncertainty, including a sensitivity analysis. Finally, elements of the overall framing of the method description are highlighted. These include the scientific, technical and, e.g., toxicological rationale for the method, and also the prediction model, i.e., the procedure used to transform primary data into new information.

Keywords: BenchMarks series.

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• Biomedical Research*
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Table of contents

Use our free Readability checker

A term paper is a research project written by students over an academic term, typically accounting for a significant part of a grade. It is intended to describe an event, a concept, or argue a point. The paper is usually original research involving a detailed study of a subject, requiring a considerable amount of preparation and effort.

The length and complexity of a term paper can vary but it's generally more comprehensive and detailed than regular academic essays. It usually includes an introduction, body, conclusion, and a bibliography citing the sources used.

Writing a term paper can be a piece of cake if you know how to properly structure it and where to begin. Browse this guide and learn how to write a term paper worth a A+.

Discover How to Write a Term Paper & What It Is

Students who earn Cs (70 per cent equivalent) do obtain degrees, but they barely get valuable, interesting job offers. Tell Granny to get ready with the magnets: we are about to start our amazing academic adventure! What is a term paper ? It is an effective method to increase the overall great point average and professional skills every student should not ignore. What is a term paper? Merriam-Webster Dictionary defines the word this way: “A major written assignment in a school/college course representative of a student's achievement during a semester.” No matter which is your personal answer to “what is a termpaper,” it is the last chance to fix the final course grade. There will be no other chance to improve the academic performance as it is the final assignment to pop up during the semester. The need to learn how to write a term paper appears closer to of the educational year’s finish; try to be ahead of your class by reviewing the steps to writing a term paper earlier! Or you can simply get the best term paper writing service .

Accepted Essay’s Format

How to write an outline for a term paper? Do not bother – have a look at the helpful guide prepared by the talented scholars to understand what the main parts of the good final projects are! Here are five main parts of this process. Please do not be confused with five paragraph essay. Term paper help can get your assignment written in half a day, by the way.

Brief (1/3 of A4 page) description of the written work. Wonder how to write an abstract ? Write down what the topic is, reasons to discuss it (how it is related to the core college discipline/major), and your results.

Introduction

What is a termpaper without a powerful introduction? It does not make any sense; stick to the following checklist to avoid missing an important introduction element: 

• Define the problem.
• Include a literature review made of recent thoughts, findings, and approaches to the solution.
• Is the chosen issue significant?
• Write about the ways you plan to handle the existing problem.

Buy term papers online if that doesn't seem interesting for you at the moment. 

• Explain the methods used to research corresponding sources plus the ways you selected the relevant data.
• Describe the impression of the tool, relevance, and quality of the gathered information.
• Write down the steps required to choose/utilize the information.

In this section, list the results of the experiment (trying to solve the problem) and the obstacles faced on the way while trying to answer every related question.

In the final part, the student is willing to do whatever they think is relevant. In personal words, it is important to explain what the findings mean, make a summary of the main points, draw some conclusions, & interpret the role of the findings in the context of the studied subject. The outline will prevent the student from falling off the topic, forgetting the next item in the line to discuss. Need some help with it? Call online academic writing services to allow them explain how to write a term paper by developing the most powerful essay!

“What Is a Term Paper?” on the Essay Examples

To understand a topic better, it is critical to have great examples in front of your nose. You may know how to write a term paper, having an idea of the outline, but choosing a good topic might be a challenge. A topic reflects the title, which is the face of your writing. Do not hope that your teachers/professors will give a list of great topics every time the end of the semester is closer. Modern instructors prefer to leave freedom of choice to their students. Many ways exist to help with the choice of topic:

• Recent articles
• Current news
• Favorite literature
• Movies & documentaries
• Conferences

If you decide to pick one of the sources as your primary source of information, do not forget to cite the quotes. It is important to add a Reference list on the last page. The basic rule of choosing the appropriate topic is to have the one, which fulfills the purposes of the college course and is the subject of the student’s interest. It makes no sense to select the topic you do not know at the advanced level. It is important to understand the criteria of choosing a topic to realize how to write a term paper. In case your head goes spinning from all the new information, simply shop for custom written term papers and call it a day.

Selecting the Topic: Criteria

What length are you planning to handle? What is a termpaper regarding of volume? It is not a typical argumentative, narrative essay ; a project of this type is a lengthy document, which contains no less than 5-10 pages. If your teacher asks for the certain amount of words, leave the word count to your Microsoft Word app. If writing huge pieces does not inspire you, try to select narrower topics. Take into account the length and plan how many words you plan to include into each part. Resources: school, college, or community libraries are no longer the best places to look for the relevant information. The modern world offers high technologies! Go to the Internet, open Google, type whatever you wish to research, and you will get millions of results. Remember: every source requires a reference. These are the top resources that will help to write a great term paper: 

• Class notes
• Academic journals
• Documentaries

The final page of your essay should contain a full Bibliography made of the cited sources. The last thing to think about is the complexity level. It is better to avoid topics you are not expert in; try choosing something you know from your personal experience & life examples, what can be explored in details. In case of any questions, professionals working in the field of your study may help. Teachers put extra credits to the works with interviews & surveys. Do not use primary sources only! Wish to learn how to write a history term paper, biology lab report , art movie review, capstone project , or how to write a dissertation in psychology? Buy a ready solution online!

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• Open access
• Published: 10 April 2024

Early prediction of sudden cardiac death risk with Nested LSTM based on electrocardiogram sequential features

• Ke Wang 1 ,
• Kai Zhang 2 ,
• Banteng Liu 1 ,
• Wei Chen 3 , 4 &
• Meng Han 3 , 4  

BMC Medical Informatics and Decision Making volume  24 , Article number:  94 ( 2024 ) Cite this article

102 Accesses

Metrics details

Electrocardiogram (ECG) signals are very important for heart disease diagnosis. In this paper, a novel early prediction method based on Nested Long Short-Term Memory (Nested LSTM) is developed for sudden cardiac death risk detection. First, wavelet denoising and normalization techniques are utilized for reliable reconstruction of ECG signals from extreme noise conditions. Then, a nested LSTM structure is adopted, which can guide the memory forgetting and memory selection of ECG signals, so as to improve the data processing ability and prediction accuracy of ECG signals. To demonstrate the effectiveness of the proposed method, four different models with different signal prediction techniques are used for comparison. The extensive experimental results show that this method can realize an accurate prediction of the cardiac beat’s starting point and track the trend of ECG signals effectively. This study holds significant value for timely intervention for patients at risk of sudden cardiac death.

Peer Review reports

Introduction

Sudden cardiac death is defined as a death occurring usually within an hour of onset of symptoms, arising from an underlying cardiac disease. Sudden cardiac death is a complication of a number of cardiovascular diseases and is often unexpected [ 1 , 2 ]. Clinical manifestations may include chest pain, shortness of breath, fatigue, weakness, persistent angina pectoris, arrhythmia, etc. [ 3 ]. At present, there are limited effective methods to predict the occurrence of SCD in individuals without prior cardiac issues. As a simple, easy-to-use, reliable ECG analysis tool, the electrocardiogram (ECG) provides abundant information for the diagnosis and treatment of cardiovascular disease. Based on ECG signals, abnormal and significant fluctuations can be detected in patients before the onset of SCD [ 4 , 5 ]. For example, Ventricular Fibrillation (VF) is an important manifestation of sudden cardiac death, and the trend of VF can be obtained by monitoring ECG signals [ 6 , 7 ]. However, ECG is a weak signal with strong nonlinearity, non-stationarity, and randomness, which affect the final diagnostic results. Therefore, accurate prediction of ECG signals plays a pivotal role in the early detection and prevention of Sudden Cardiac Death [ 8 , 9 ].

At present, the traditional machine learning models are commonly applied for ECG prediction. These models make forecasting based on historical data, such as classification model and regression model [ 10 , 11 , 12 , 13 ]. For example, Liu et al. [ 14 ] developed a cardiac arrest classification model utilizing wavelet transform and the AdaBoost algorithm. This model effectively distinguishes cardiac arrest from ECG signals and predicts its occurrence with an impressive accuracy of 97.56% within 5 minutes before the event. Ebrahimzadeh et al. [ 15 ] employed a Multi-Layer Perceptron (MLP) to classify abnormal ECG signals, with the aim of predicting Sudden Cardiac Death (SCD). Their model demonstrates increasing prediction accuracy as it approaches the critical point of sudden death. Sengupta et al. [ 16 ] utilized Random Forest, Least Squares Discriminant, and Support Vector Machine in the classification of 12-lead ECG signals to predict abnormal myocardial relaxation and assess the likelihood of SCD. Hou et al. [ 17 ] presented a novel deep learning-based algorithm that combined an LSTM-based auto-encoder (LSTM-AE) network with support vector machine (SVM) for ECG arrhythmias classification. This method exhibits high accuracy, sensitivity, and specificity in classifying various heartbeat types, showcasing its potential for ECG arrhythmia classification. Kaya et al. [ 18 ] proposed an innovative approach that combines angle transform (AT) and LSTM for the automatic identification of congestive heart failure (CHF) and arrhythmia (ARR) using ECG signals. However, most of these methods achieve classification based on patients’ ECG signals and those of healthy individuals, which struggles to address dynamic system modeling problems related to time [ 19 , 20 ].

With the rapid development of artificial intelligence, neural networks has been broadly applied in signal processing and achieves excellent performance. Jin et al. [ 21 ] proposed a regression model based on the Regularized Extreme Learning Machine (RELM) to predict ECG signals by analyzing the correlation between ECG and human gait. Zheng et al. [ 22 ] employed a traditional Echo State Network (ESN), a type of Recurrent Neural Network, to forecast ECG signals, yielding superior results compared to conventional regression machine learning techniques. Wang et al. [ 23 ] devised a cardiac beat prediction algorithm for SCD based on ECG, establishing a time series prediction model for dynamic human ECG signals to accurately anticipate ECG signal patterns. Sakib et al. [ 24 ] employed a Reservoir Computing (RC)-based ESN method for magnetocardiography (MCG) monitoring and helped to detect cardiac activity.

In recent years, some powerful sequence models have been proposed to assist with ECG analysis with their advantage of exploring time-frequency based features [ 25 , 26 , 27 , 28 , 29 , 30 ]. As one of the most commonly used sequence model, the Long Short-Term Memory (LSTM) network has been proven to be effective to track information over extended periods [ 31 , 32 ]. For instance, Liu et al. [ 33 ] employed LSTM to predict influenza trends and achieved better results than linear models. Balci et al. [ 34 ] presented a hybrid Attention-based LSTM-XGBoost algorithm for detecting atrial fibrillation (AF) in long-recorded ECG data. Combined with preprocessing techniques, this method achieves a high accuracy, offering a reliable support system for clinicians and facilitating data tracking in long ECG record reviews.

However, traditional LSTM networks exhibit weak robustness and low prediction accuracy in complex tasks, as the memory cells store memories unrelated to the current time step [ 35 , 36 ]. To address this issue, we propose an integrated approach combining data preprocessing and prediction model construction to predict ECG signal trends in advance. Firstly, data prepocessing is performed on the original ECG signals, including wavelet denoising, normalization, and phase space reconstruction. Then, the Nested LSTM model is utilized for signal prediction. At this step, an inner LSTM unit is adopted, which can guide the memory forgetting and memory selection of ECG signals, so as to improve the data processing ability and prediction accuracy of ECG signals.

This paper is organized as follows. In Introduction  section, a brief introduction of the existing ECG signal prediction methods is made. A detailed algorithm and description of the proposed methods are presented in Theory and calculation  section. Experiment and results  section provides implementation details of the experiments. The effectiveness and superiority of the proposed method are verified through experiments and results analysis. Conclusion  section summarizes this paper.

Theory and calculation

Model construction.

The model construction proposed in this paper is presented in Fig.  1 , including the data preprocessing strategy, the prediction model Nested LSTM and model evaluation.

Model construction framework diagram

Preprocessing methods

Considering the uncertainty and complexity of ECG signals, it would be a difficult to capture the trend of the data directly. Thus, the data preprocessing strategy is adopted to ensure the quality of data, after which some unwanted noise are removed from the ECG signals. Therefore, we employ a data preprocessing strategy to ensure data quality and remove unwanted noise from the ECG signals. The preprocessing methods include signal denoising, normalization, and phase space reconstruction.

Signals denoising

Due to the movement of human limbs, breathing, electromagnetic interference of the surrounding environment, ECG signals are accompanied by a lot of noise, including baseline drift, power frequency interference, electromyographic interference, and motion artifacts, which could have a certain impact on the prediction results. The frequency ranges and signal energy ranges of the four types of noise are as follows: (1) Baseline drift noise: the noise frequency is less than 5Hz; the energy range is between 0.01 Hz and 1 Hz. (2) Power frequency interference noise: the noise frequency range is 50 Hz or 60 Hz; the energy range is concentrated in frequency components near the power frequency. (3) Myoelectric interference noise: The noise frequency range is in the range of 5HZ 2000Hz. The energy range is between 10 Hz and 500 Hz, depending on the frequency of muscle activity. (4) Motion artifact noise: Noise frequency range is in the range of 3Hz 14Hz, depending on the frequency and amplitude of motion. The energy range is in the range of 5Hz 10Hz, reflecting the frequency components caused by the subject’s movement.

Therefore, it is necessary to denoise the ECG signals. Wavelet denoising method has the characteristics of multi-resolution analysis and has the ability to characterize the local characteristics of signals in both time and frequency domains. It is very suitable for analyzing nonstationary signals such as ECG signals and extracting the local characteristics of signals. Therefore, the wavelet denoising method is used to denoise the ECG signals in this paper. Its process is shown in Fig.  2 . The specific steps are as follows:

Input the original ECG signals containing noise;

Decompose the original ECG signals in 7 layers through the wavelet transform in the wavelet denoising method, and the wavelet function selects DB6;

Extract wavelet coefficients of each layer, including approximation coefficients and detail coefficients;

Obtain the threshold of each layer by using unbiased likelihood estimation; that is, give a threshold L for each layer, calculate its likelihood estimate, and then minimize the likelihood of L to obtain the threshold of each layer. The details of determining the threshold are as follows:

Step 1: After squaring the wavelet coefficients of each resolution level, arrange them in order from small to large, and obtain the vector \(P=[P_1,P_1,...,P_N]\) , where N represents the length of the wavelet coefficient.

Step 2: Calculate the risk vector R based on the vector P , and find the smallest \(R_i\) in the risk vector as the risk value. The formula is as follows:

Step 3: The threshold value L is calculated from the square of the wavelet coefficient \(P_i\) corresponding to the risk value \(R_i\) :

Denoise the decomposed 7-layer signals according to the selected threshold; if \({X_i}\) is the ECG signals of the i -th layer after denoising, and \({d_i}\) is the ECG signals of the i -th layer before denoising, the denoising method of each layer as follows:

Reconstruct the 7-layer signals through inverse wavelet transform; the reconstructed ECG signals is:

We adopted the method of wavelet reconstruction after wavelet transform, that is, using the inverse wavelet transform method. The steps are as follows:

Step 1: For the highest level of detail coefficients and the lowest frequency approximation coefficients, use the inverse high pass filter and inverse low pass filter of the wavelet basis function for upsampling and convolution to obtain the reconstructed signal.

Step 2: For each level of detail and approximation coefficients, the inverse high pass filter and inverse low pass filter of the wavelet basis function are used for upsampling and convolution to obtain the reconstructed signal.

Step 3: Repeat steps 1 and 2 until all levels of refactoring are completed.

Output the denoised ECG signals.

Wavelet denoising flowchart

Normalization

In order to obtain better fitting results and prevent the divergence of training results, it is necessary to standardize the training set, and the standardized equation is:

Where X denotes the training set, \(\overline{X}\) denotes the average value of the training set, and \(\sigma\) denotes the standard deviation of the training set.

Phase space reconstruction

In the model training, we aim to predict the ECG signals in the next time step based on the historical data. It is necessary to use prior data as the training data to predict ECG signals in future time steps. In this paper, the final training set is constructed by phase space reconstruction. If the reconstruction dimension is m , the time delay is tau , and the ECG signals of the normalized training set is \(X = \left[ \begin{array}{cccc} {x_1},&{x_2},&\cdots ,&{x_{n + 1 + (m - 1)tau}} \end{array}\right]\) , then the reconstructed training set is:

The ECG signal in the input layer of the predition model are reconstructed from Equations ( 7 ) and ( 8 ). The construction rule is to start from the first sampling point of the selected ECG signal and use the \(1-st\) to \(99-th\) sampling points as the input sample, the \(100-th\) sample point is taken as the output sample, and so on. The input samples of the \(i-th\) training set are the \(i~i+98\) sampling points, and the output samples are the \(i+99-th\) sampling points, where \(i = 1, 2, ..., 5 000-99\) . A total of 4901 input-output sample pairs are generated, which is the training data set of the model.

Nested LSTMs model

Information exhibits time correlation, and historical information can hold valuable clues for predicting future events. Traditional machine learning methods only have short-term memory, which has prediction limitations in the case of limited information. LSTM introduces ingenious controllable self circulation to generate a path that allows gradient to flow continuously for a long time, which makes it especially suitable for processing tasks related to time series and tracking information in a longer time. As a result, the extended models of LSTM have received increasing attention by virtue of the obvious advantages.

Nested LSTM shares the same input layer, hidden layer, and output layer as LSTM, and its unit structure is illustrated in Fig.  3 . In this figure, a new inner LSTM structure is adopted to replace the memory cells of the traditional LSTM. When accessing the inner memory, they are gated in the same way. Therefore, the Nested LSTM can access the inner memory more specifically, which makes the Nested LSTM prediction model has stronger processing capabilities for ECG signals and higher prediction accuracy. This enhancement allows the Nested LSTM to capture and utilize more intricate temporal patterns in the data, making it well-suited for tasks that require detailed information processing and precise predictions in the context of electrocardiogram signals.

Nested LSTM model unit structure diagram

Nested LSTM is divided into inner LSTM and outer LSTM. The gating system of both inner and outer LSTM is consistent with that of traditional LSTM. Within this system, there are four gating systems: forget gate, input gate, candidate memory cell, and output gate. The calculation equations for each gate are as follows.

Forget gate:

Input gate:

Candidate memory cell:

Memory cell: The input and hidden states of the inner LSTM are:

The memory cell update method of the outer LSTM is:

Output gate:

A new round of hidden state:

Where \(\sigma\) denotes the sigmoid function. In the outer LSTM, \({W_{fx}}\) and \({W_{fh}}\) denote the weight matrix of the forget gate; \({W_{ix}}\) and \({W_{ih}}\) denote the weight matrix of the input gate; \({W_{cx}}\) and \({W_{ch}}\) denote the weight matrix of the candidate memory cell; \({W_{ox}}\) and \({W_{oh}}\) denote the weight matrix of the output gate; \({b_f}\) , \({b_i}\) , \({b_c}\) and \({b_o}\) denote the bias of the forget gate, input gate, candidate memory cell, and output gate respectively. In the inner LSTM, \(\overline{x}_t\) , \(\overline{h}_{t - 1}\) and \(\overline{c}_{t - 1}\) denote the current input, the hidden state and memory cell of the previous round, respectively. In the outer LSTM, \({\overline{W}_{fx}}\) and \({\overline{W}_{fh}}\) denote the weight matrix of the forget gate; \({\overline{W}_{ix}}\) and \({\overline{W}_{ih}}\) denote the weight matrix of the input gate; \({\overline{W}_{cx}}\) and \({\overline{W}_{ch}}\) denote the weight matrix of the candidate memory cell; \({\overline{W}_{ox}}\) and \({\overline{W}_{oh}}\) denote the weight matrix of the output gate; \(\overline{b}_f\) , \(\overline{b}_i\) , \(\overline{b}_c\) and \(\overline{b}_o\) denote the bias of the forget gate, input gate, candidate memory cell, and output gate respectively; \(\overline{x}_t\) , \(\overline{h}_{t - 1}\) and \(\overline{c}_{t - 1}\) denote the current input, the hidden state and memory cell of the previous round, respectively.

The output of the output layer is:

Where \({W_{yh}}\) denotes the weight matrix of the output layer.

The Nested LSTM model is a deep neural network that incorporates both feedforward and feedback mechanisms. The feedforward mechanism completes the forward calculation of the Nested LSTM using equations ( 6 )-( 20 ). In contrast, the feedback mechanism employs the error backpropagation algorithm to train and update various network parameters.

The training process of the feedback mechanism first needs to define the loss function:

Where \({E_t}\) denotes the error at time t , E denotes the total error, \({y_t}\) denotes the training value, and \(\overset{\wedge }{y_t}\) is the target value.

Training flowchart of prediction model

The weight matrix and the bias term of each gating system need to be updated by the loss function [ 31 ]. Its process is shown in Fig.  4 and the specific steps are as follows:

Initialize the parameters of the prediction model and set the error threshold.

Input the ECG signals training set.

Perform forward calculation according to equations ( 6 )-( 20 ) to obtain the output corresponding to the current input.

Define the loss function.

Solve the gradient of each weight according to the loss function, and then update the weight matrix according to the gradient guide and update the bias terms.

Judge whether the training error is less than the error threshold; if yes, skip to Step7; if not, skip to Step3.

End of training.

Experiment and results

Data source.

In this study, ECG signals were obtained from the Sudden Cardiac Death Holter Database on the PhysioNet website [ 37 ], a resource for complex physiological and biomedical signal research. The database features 20 patient groups who experienced actual cardiac arrest and exhibited potential sinus rhythm, persistent rhythm, and atrial fibrillation prior to the event. Medical experts have meticulously annotated these ECG signals, identifying the onset of sudden cardiac death. The dataset for this study consists of 20 sets of 20 second predicted signals (20 seconds including 16 seconds before and 4 seconds after the SCD event). The detailed information of 20 groups ECG signal used in this paper are shown in Table 1 . We randomly select a set of ECG signals as the training set, that is, randomly create a model for each subject. The construction rule is to start from the first sampling point of the selected ECG signal and use the \(1_{st}\) to \(99_{th}\) sampling points as the input sample, the \(100_{th}\) sample point is taken as the output sample, and so on. The input samples of the \(i_{th}\) training set are the \(i-i+98\) sampling points, and the output samples are the \(i+99th\) sampling points, where \(i = 1, 2, ..., 5 000-99\) . A total of 4901 input-output sample pairs are generated, which is the training data set of the model.

Data preprocessing results

Utilizing all ECG signals as model input may introduce noise and decrease prediction accuracy. As a result, a wavelet denoising method is employed to remove noise. Denoising outcomes are displayed in Figs.  5 , 6 and 7 .

Comparison of 30.dat signal before and after denoising

Comparison of 31.dat signal before and after denoising

Comparison of 32.dat signal before and after denoising

From Figs.  5 , 6 and 7 , it is evident that the signals 30.dat and 31.dat exhibit noticeable baseline drift noise before denoising, while signal 32.dat exhibits both baseline drift and EMG noise. However, after denoising, the signals 30.dat-32.dat become more stable (as supported by Table 2 ). This demonstrates that the enhanced wavelet denoising method employed in this study effectively eliminates baseline drift and EMG signal noise, indicating its capability to denoise ECG signals.

This study assesses the denoising effect through visual and signal-to-noise ratio (SNR). The denoising results are further compared using SNR, a technical metric that measures the ratio of signal energy to noise energy. The specific definitions are as follows:

Where x ( n ) denotes the original signal, and \({x_m}(n)\) denotes the denoising signal. We can evaluate the denoising effect by comparing the SNR of ECG signal before and after denoising. The SNR results are shown in Table 2 .

Table 2 demonstrates that a portion of the noise in the aforementioned ECG signals has been removed, as evidenced by the increased SNR before and after denoising. This finding more clearly indicates the presence of a significant amount of noise in the ECG signal, which could impact prediction outcomes. Consequently, it is necessary to employ a denoising method to process the ECG signal prior to making predictions.

Predicion results and analysis

The Nested LSTM model was used to predict the risk of actual cardiac arrest for the 20 groups of ECG signals. In the experiment, we trained the model 20 times in total, and the training time was between 43s-58s. A selection of prediction results is presented in Figs. 8 , 9 and 10 . The error is calculated as the difference between the true value and the predicted value.

One-step prediction fitting result and error result of 30.dat signal

One-step prediction fitting result and error result of 31.dat signal

One-step prediction fitting result and error result of 32.dat signal

Figures 8 , 9 , and 10 illustrate notable fluctuations in the ECG signal. The actual values are represented in blue, while the fitted predictions are shown in red. Impressively, the proposed method exhibits remarkable proficiency in capturing these variations and accurately predicting trends in the ECG signal. The experimental results highlight the potential of predicting sudden cardiac death (SCD) before its occurrence, which holds life-saving implications for patients.

There are several techniques for classifying the risk of SCD. Support Vector Machines (SVM) is a classical classification method that is widely used. Echo State Networks (ESN) and Long Short-Term Memory (LSTM) networks are adaptive data analysis methods that have been employed in SCD detection. Bidirectional LSTM (Bi-LSTM) is an improved method of LSTM, comprising forward and backward LSTM components, which enables the summarization of temporal information from both past and future contexts. To validate the performance of the Nested LSTM model, the four models mentioned above are compared. In order to quantitatively assess the performance of the predictive models, two types of error measurements are employed in the experiment: mean absolute error (MAE) and root mean square error (RMSE).

Where N denotes the predicted ECG signals length, \({Y_n}\) denotes the predicted value, and \(\widehat{Y_n}\) denotes the target value. The prediction error results are averaged. The prediction RMSE results of the above models are shown in Table 3 , Figs. 11 and 12 , the prediction MAE results of the above models are shown in Table 4 , Figs. 13 and 14 , and the prediction average results of the above models are shown in Table 5 .

RMSE results (a)

RMSE results (b)

MAE results (a)

MAE results (b)

RMSE can reflect the overall error of signal prediction. According to Figs. 11 , 12 and Table 3 , it can be observed that the SVM model has the highest RMSE. The SVM model, which lacks a feedback structure and cannot obtain historical information characteristics, performs poorly in ECG signal prediction. The ESN model, despite having a feedback structure, is simple and also exhibits a large error. The LSTM and Bi-LSTM models have low RMSE values, with their results being quite similar. Nested LSTM enhances the memory function of LSTM and extracts historical information features more accurately. When compared to the SVM, ESN, LSTM, and Bi-LSTM models, the RMSE of Nested LSTM is the smallest.

MAE represents the average of the absolute error between the predicted value and the observed value. According to Figs. 13 , 14 and Table 4 , it can be seen that the SVM model also has the largest MAE, and the Nested LSTM has the smallest MAE among the five models.

According to Table 5 , it can be seen that the SVM model has the largest average RMSE and average MAE, and the Nested LSTM model has the smallest average RMSE and average MAE. When compared to the SVM, ESN, LSTM, and Bi-LSTM models, the average RMSE of Nested LSTM is reduced by 61.1%, 41.2%, 20.5%, and 17.9%, respectively. And the average MAE of Nested LSTM is reduced by 88.7%, 78.2%, 25.8%, and 32.6%, respectively. In conclusion, the Nested LSTM model demonstrates a strong nonlinear mapping ability for ECG signals.

In this study, we present an early prediction method for sudden cardiac death (SCD) risk using Nested LSTM based on electrocardiogram (ECG) sequential features to predict a patient’s ECG signals. ECG prediction is an effective approach for the early prediction of SCD risk. One limitation of the traditional prediction methods is that it has a low predict accuracy for strong nonlinear ECG, which may turn out to be inappropriate for practical applications. Thus, it is highly desirable to develop an optimized ECG prediction model with a high prediction accuracy. Focusing on the timeliness and accuracy of prediction, this paper focuses on the nonlinear mapping capability of Nested LSTM for ECG signals. The memory cell of Nested LSTM is replaced by an inner LSTM, which has strong memory ability. To demonstrate the effectiveness and applicability of the proposed model, the ECG signals of 20 groups of actual cardiac arrest patients are taken for conducting the empirical study. The experiment results show that the proposed model achieves better performance in comparison with other four models.

The current similar methods include classification and regression techniques. References [ 14 , 15 , 16 ] employ classification models to anticipate abnormal and non-abnormal ECG patterns, whereas references [ 21 , 22 , 23 ] utilize regression models to align with ECG signal trends and identify ECG outliers. Distinguished from conventional classification techniques, this approach excels in forecasting the onset of SCD heartbeats, effectively capturing the dynamic, nonlinear, and non-stationary nature of time series, and adeptly accommodating the irregular trends in electrocardiogram signals. Furthermore, in contrast to traditional regression methodologies, the study devises an encompassing strategy that merges data preprocessing with predictive model development for ECG prediction. Empirical findings demonstrate a notable reduction in fitting errors, specifically in terms of RMSE and MAE, underscoring the efficacy of this novel methodology.

As for future work, we will study the multi-step prediction method of ECG signal characteristics, and use a series of deep learning methods and reinforcement learning methods to reduce multi-step prediction errors. More significantly, the practical applicability of ECG signal prediction methods will be verified in SCD diagnostic applications, potentially saving patients’ lives from SCD events.

Availability of data and materials

The datasets used and/or analysed during the current study available from the corresponding author on reasonable request.

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Acknowledgements

All authors conceptualized the study. W.K and C.W participated in data collection, analysis, interpretation of data and drafted the manuscript; Z.K and L.B.T participated in interpretation of results; H.M.guided the revision of the paper. All authors have critically reviewed the manuscript and approved the final version.

This research was funded by the National Science and Technology Program Grant No. G2022016011L, LingYan Research and Development Projects of Science and Technology Department of the Zhejiang Province of China under Grants No. 2022C03122, No.2024C01165 and No. 2023C03189, Public Welfare Technology Application and Research Project of Zhejiang Province of China under Grant No. LGF21F010004.

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All authors conceptualized the study. W.K and C.W participated in data collection, analysis, interpretation of data and drafted the manuscript; Z.K and L.B.T participated in interpretation of resultss; H.M.guided the revision of the paper. All authors have critically reviewed the manuscript and approved the final version.

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Wang, K., Zhang, K., Liu, B. et al. Early prediction of sudden cardiac death risk with Nested LSTM based on electrocardiogram sequential features. BMC Med Inform Decis Mak 24 , 94 (2024). https://doi.org/10.1186/s12911-024-02493-4

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Analytical Methods

Rapid and green quantification of phloridzin and trilobatin in lithocarpus litseifolius (hance) chun (sweet tea) using an online pressurized liquid extraction high-performance liquid chromatography at equal absorption wavelength method †.

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a College of Medical Imaging Laboratory and Rehabilitation, Xiangnan University, Chenzhou, Hunan 423000, China

b Ruyuan Nanling Haoshanhaoshui Cordyceps Co., Ltd., Shaoguan, Guangdong 512000, China

c Key Laboratory of Digital Quality Evaluation of Chinese Materia Medica of State Administration of TCM, Engineering & Technology Research Center for Chinese Materia Medica Quality of Guangdong Province, Guangdong Pharmaceutical University, Guangzhou, Guangdong 510006, China

d Guangxi Greenhealth Biotechnology Co., Ltd., Hetai Science and Technology Park, No.9, Gaoxin No.4 Road, Nanning High-tech Zone, Nanning, Guangxi 530007, China

Sweet tea is a functional herbal tea with anti-inflammatory, anti-diabetic, and other effects, in which phloridzin and trilobatin are two functional compounds. However, the current methods for their quantification are time-consuming, costly, and environmentally unfriendly. In this paper, we propose a rapid method that integrates online pressurized liquid extraction and high-performance liquid chromatography featuring a superficially porous column for fast separation. Moreover, we employ an equal absorption wavelength method to eliminate using multiple standard solutions and relative calibration factors. Our verification process corroborated the technique's selectivity, accuracy, precision, linearity, and detection limitations. Separately, our methodology demonstrated excellent analytical efficiency, cost-effectiveness, and environmental friendliness. Practical application using six distinct batches of sweet tea samples yielded results in congruence with the external standard method. The analytical rate of this technique is up to over 18 times faster than traditional methods, and organic solvent consumption has been reduced to less than 1.5 mL. Therefore, this method provides a valuable way to achieve quality control and green analysis of sweet tea and other herbal teas.

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Rapid and green quantification of phloridzin and trilobatin in Lithocarpus litseifolius (Hance) Chun (sweet tea) using an online pressurized liquid extraction high-performance liquid chromatography at equal absorption wavelength method

Z. Qian, Q. Lei, D. Tang, G. Tan, Q. Huang, F. Zhou and W. Wang, Anal. Methods , 2024, Advance Article , DOI: 10.1039/D4AY00170B

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Uniqueness and Numerical Method for Determining a Spatial Source Term in a Time-Fractional Diffusion Wave Equation

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• Volume 99 , article number  51 , ( 2024 )

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This paper is devoted to recovering a spatial source term in a time-fractional diffusion-wave equation by using an additional final time observation. Based on the regularity of solution for the direct problem, the existence and uniqueness of the spatial source term are obtained. For this ill-posed problem, the generalized quasi-boundary value regularization method is proposed, and the convergence rate of the regularized solution under an a priori choice rule of the regularization parameter is achieved. Specially, for the modified quasi-boundary value regularized problem, we propose a numerical method in terms of combining the backward Euler convolution quadrature scheme for approximating the time-fractional derivative and the piecewise linear finite element scheme for dealing with the space variables. Based on a complicated numerical analysis, we give an error estimate between the numerical source solution in a fully discrete regularized problem and the exact source function under certain reasonable smoothness assumptions to the given data including the initial functions and a time-dependent source term. Some numerical experiments are provided for one- and two-dimensional cases to verify the theoretical result and illustrate the efficient of the proposed numerical algorithm.

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In this appendix, we present the deduction of fully discrete solution in ( 6.3 ) and the proof of Lemma  6.2 . The following two Lemmas will be utilized.

[ 10 ] Let \(\Sigma _\theta =\{z\in {\mathbb {C}}:|z|\ne 0, |\arg {z}|\le \theta \}\) for \(\pi /2<\theta <\pi /\alpha \) , there exists positive constants \(c=c(\theta , \alpha )\) s.t.

[ 15 ] For any \(\theta \in (\pi /2, \pi )\) , there exists \(\theta ^{\prime }\in (\pi /2, \pi )\) and positive constants \(c, c_1, c_2\) independent of \(\tau \) such that for all \(z\in \Gamma _{\theta ,\sigma }^{\tau }\)

Deduction of fully discrete solution ( 6.4 ) Denote \(w_n={\tilde{U}}_n-\phi _h-t_n\psi _h\) , then \(w_0=0\) . Multiplying \(\xi ^n\) on both sides of the equation in the fully discrete problem ( 6.3 ) and summing over n from 1 to \(\infty \) , there is

In terms of the convolution quadrature ( 6.1 ), we have

and similarly by the definition of \(\overline{\partial }_\tau ^{(-2)}\) , we have

Notice that \(\sum _{n=1}^{\infty }\xi ^n=\frac{\xi }{1-\xi }\) and \(\sum _{n=1}^{\infty }t_n \xi ^n=\frac{\tau \xi }{(1-\xi )^2}\) , by ( 8.1 ), it implies

In view of the relationship of \(w_n\) and \({{\tilde{U}}}_n\) , then \({\tilde{U}}_n\) satisfies

By the Cauchy integral formula, we have

where \(1>\rho >0\) is a small constant.

According to the Cauchy integral theorem, we know \(\frac{1}{2\pi i}\int _{|\xi |=\rho } k(\xi )d\xi =0\) for analytic function \(k(\xi )\) over \(|\xi |\le \rho \) , then we have

since for small enough \(\rho \) and \(j\ge n+1\) , \((\delta _{\tau }(\xi )^\alpha -L_h)^{-1}\delta _{\tau }(\xi )^{-2}\xi ^{j-n-1}\) is analytic over the disk \(|\xi |\le \rho \) , refer to [ 32 ]. It is well-known that the following holds

Then we can denote

By the transform \(\xi =e^{-z\tau }\) and the Cauchy integral theorem, we have

Therefore, the solution of the fully discrete problem can be obtained easily as ( 6.4 ).

Proof of Lemma   6.2

In terms of ( 6.5 ), one knows

Due to ( 6.9 ), it follows

In the following, we try to prove

Firstly, it is easy to deduce

According to Lemma  8.1 , it can be proved that

Hence, by simple calculations, we can obtain

where \(C>0\) depends on \(\Vert p\Vert _{C[0,T]}\) .

By Lemma  8.2 , it is easy to prove \(|z^{-1}-\delta _{\tau }(e^{-z\tau })^{-1}|\le C\tau \) and

Then by taking \(\sigma =T^{-1}\) , noting that \(\cos \theta <0\) , one can derive at

Further, we have

Therefore, we have \(\lambda _j^h|I_1^h-I_1^{h,\tau }|\le C\tau \) where \(C>0\) depending on \(\Vert p\Vert _{C[0,T]}\) .

Secondly, we estimate \(\lambda _j^h(I_2^h-I_2^{h,\tau })\) , it can be divided into

Each term is estimated respectively as follows

And by Lemma  8.2 , it is easy to prove \(|z^{-2}-\delta _{\tau }(e^{-z\tau })^{-2}|\le C\tau |z|^{-1}\) and

from which we have

and note that \(1-e^{-\tau z}=\delta _{\tau }(e^{-z\tau })\tau \) , we have

Therefore, we have \(\lambda _j^h|I_2^h-I_2^{h,\tau }|\le C\tau \) where \(C>0\) depending on \(\Vert p'\Vert _{C[0,T]}\) .

Thirdly, we estimate \(\lambda _j^h(I_3^h-I_3^{h,\tau })\) as follow.

where \(e_{33}\) contains the last two terms. Then we analyse each term as follows.

and for estimating \(e_{32}\) , we take \(\sigma =(T-s)^{-1}\) , then we have

As for \(e_{33}\) , we have

noting that \(e^{-zs}p^{\prime \prime }(s)=e^{-zt_k}p^{\prime \prime }(t_k)-\int _{s}^{t_k}e^{-z\xi }(-zp^{\prime \prime }(\xi )+p^{\prime \prime \prime }(\xi ))d\xi \) for \(s\in [t_{k-1},t_k]\) , and substituting it into \(e_{33}\) , we have

then by taking \(\sigma =(T-\xi )^{-1}\) , \(y=\rho (T-\xi )\) , it follows

Therefore, we have \(\lambda _j^h|I_3^h-I_3^{h,\tau }|\le C\tau \) where \(C>0\) depending on \(\Vert p^{\prime \prime }\Vert _{L^1(0,T)}+\Vert p^{\prime \prime \prime }\Vert _{L^1(0,T)}\) .

Finally, we deduce the estimates of the last two terms.

where \(C>0\) depends on \(\Vert p^{\prime \prime }\Vert _{C[0,T]}\) .

It is known the convolution weight \({\tilde{\omega }}_0=\tau ^2\) , then we have

Combining the estimates above for each term, one can obtain the following estimate

By \(F_j^h(T)\ge \frac{C}{\lambda _j^h}\) , for a small enough \(\tau \) , there exists a positive constant C such that

\(\square \)

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Luo, Y., Wei, T. Uniqueness and Numerical Method for Determining a Spatial Source Term in a Time-Fractional Diffusion Wave Equation. J Sci Comput 99 , 51 (2024). https://doi.org/10.1007/s10915-024-02523-3

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Received : 03 August 2023

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Accepted : 13 March 2024

Published : 10 April 2024

DOI : https://doi.org/10.1007/s10915-024-02523-3

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Desalination system could produce freshwater that is cheaper than tap water

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Engineers at MIT and in China are aiming to turn seawater into drinking water with a completely passive device that is inspired by the ocean, and powered by the sun.

In a paper appearing today in the journal Joule, the team outlines the design for a new solar desalination system that takes in saltwater and heats it with natural sunlight.

The configuration of the device allows water to circulate in swirling eddies, in a manner similar to the much larger “thermohaline” circulation of the ocean. This circulation, combined with the sun’s heat, drives water to evaporate, leaving salt behind. The resulting water vapor can then be condensed and collected as pure, drinkable water. In the meantime, the leftover salt continues to circulate through and out of the device, rather than accumulating and clogging the system.

The new system has a higher water-production rate and a higher salt-rejection rate than all other passive solar desalination concepts currently being tested.

The researchers estimate that if the system is scaled up to the size of a small suitcase, it could produce about 4 to 6 liters of drinking water per hour and last several years before requiring replacement parts. At this scale and performance, the system could produce drinking water at a rate and price that is cheaper than tap water.

“For the first time, it is possible for water, produced by sunlight, to be even cheaper than tap water,” says Lenan Zhang, a research scientist in MIT’s Device Research Laboratory.

The team envisions a scaled-up device could passively produce enough drinking water to meet the daily requirements of a small family. The system could also supply off-grid, coastal communities where seawater is easily accessible.

Zhang’s study co-authors include MIT graduate student Yang Zhong and Evelyn Wang, the Ford Professor of Engineering, along with Jintong Gao, Jinfang You, Zhanyu Ye, Ruzhu Wang, and Zhenyuan Xu of Shanghai Jiao Tong University in China.

A powerful convection

The team’s new system improves on their previous design — a similar concept of multiple layers, called stages. Each stage contained an evaporator and a condenser that used heat from the sun to passively separate salt from incoming water. That design, which the team tested on the roof of an MIT building, efficiently converted the sun’s energy to evaporate water, which was then condensed into drinkable water. But the salt that was left over quickly accumulated as crystals that clogged the system after a few days. In a real-world setting, a user would have to place stages on a frequent basis, which would significantly increase the system’s overall cost.

In a follow-up effort, they devised a solution with a similar layered configuration, this time with an added feature that helped to circulate the incoming water as well as any leftover salt. While this design prevented salt from settling and accumulating on the device, it desalinated water at a relatively low rate.

In the latest iteration, the team believes it has landed on a design that achieves both a high water-production rate, and high salt rejection, meaning that the system can quickly and reliably produce drinking water for an extended period. The key to their new design is a combination of their two previous concepts: a multistage system of evaporators and condensers, that is also configured to boost the circulation of water — and salt — within each stage.

“We introduce now an even more powerful convection, that is similar to what we typically see in the ocean, at kilometer-long scales,” Xu says.

The small circulations generated in the team’s new system is similar to the “thermohaline” convection in the ocean — a phenomenon that drives the movement of water around the world, based on differences in sea temperature (“thermo”) and salinity (“haline”).

“When seawater is exposed to air, sunlight drives water to evaporate. Once water leaves the surface, salt remains. And the higher the salt concentration, the denser the liquid, and this heavier water wants to flow downward,” Zhang explains. “By mimicking this kilometer-wide phenomena in small box, we can take advantage of this feature to reject salt.”

Tapping out

The heart of the team’s new design is a single stage that resembles a thin box, topped with a dark material that efficiently absorbs the heat of the sun. Inside, the box is separated into a top and bottom section. Water can flow through the top half, where the ceiling is lined with an evaporator layer that uses the sun’s heat to warm up and evaporate any water in direct contact. The water vapor is then funneled to the bottom half of the box, where a condensing layer air-cools the vapor into salt-free, drinkable liquid. The researchers set the entire box at a tilt within a larger, empty vessel, then attached a tube from the top half of the box down through the bottom of the vessel, and floated the vessel in saltwater.

In this configuration, water can naturally push up through the tube and into the box, where the tilt of the box, combined with the thermal energy from the sun, induces the water to swirl as it flows through. The small eddies help to bring water in contact with the upper evaporating layer while keeping salt circulating, rather than settling and clogging.

The team built several prototypes, with one, three, and 10 stages, and tested their performance in water of varying salinity, including natural seawater and water that was seven times saltier.

From these tests, the researchers calculated that if each stage were scaled up to a square meter, it would produce up to 5 liters of drinking water per hour, and that the system could desalinate water without accumulating salt for several years. Given this extended lifetime, and the fact that the system is entirely passive, requiring no electricity to run, the team estimates that the overall cost of running the system would be cheaper than what it costs to produce tap water in the United States.

“We show that this device is capable of achieving a long lifetime,” Zhong says. “That means that, for the first time, it is possible for drinking water produced by sunlight to be cheaper than tap water. This opens up the possibility for solar desalination to address real-world problems.”

“This is a very innovative approach that effectively mitigates key challenges in the field of desalination,” says Guihua Yu, who develops sustainable water and energy storage systems at the University of Texas at Austin, and was not involved in the research. “The design is particularly beneficial for regions struggling with high-salinity water. Its modular design makes it highly suitable for household water production, allowing for scalability and adaptability to meet individual needs.”

Funding for the research at Shanghai Jiao Tong University was supported by the Natural Science Foundation of China.

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A number of MIT spinouts and research projects – including the MOXIE instrument that successfully generated oxygen on Mars, a new solar-powered desalination system and MIT spinout SurgiBox – were featured on TIME’s Best Inventions of 2023 list.

Insider reporter Katie Hawkinson explores how MIT researchers developed a new solar-powered desalination system that can remove the salt from seawater for less than the cost of U.S. tap water. Creating a device that relies on solar power, “eliminates a major financial barrier, especially for low-income countries experiencing water scarcity,” Hawkinson explains.

The Hill reporter Sharon Udasin writes that MIT researchers have developed a new solar-powered desalination device that “could last several years and generate water at a rate and price that is less expensive than tap water.” The researchers estimated that “if their model was scaled up to the size of a small suitcase, it could produce about 4 to 6 liters of drinking water per hour,” writes Udasin.

The Daily Beast

MIT researchers have developed a new desalination system that uses solar energy to convert seawater into drinkable water, reports Tony Ho Tran for the Daily Beast . The device could make it possible to, “make freshwater that’s even more affordable than the water coming from Americans’ kitchen faucets.”

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