point proof explanation essay examples

Reading: Supporting Claims

Point, illustration, explanation, how does the structure of a body paragraph support a thesis.

Many authors use the PIE format to structure their essays. PIE = point, illustration, explanation. The point furthers a thesis or claim, the illustration provides support for the point, and the explanation tells the audience why the evidence provided furthers the point and/or the thesis.

He Illustrates with a quote from a professor who argues, “‘(students) have less incentive to try’” (Fesheraki, 2013).

Hajj then Explains that “not providing [the most motivated students] with additional motivation of a higher grade … is inequitable.”

Through his explanation, Hajj links back to his claim that “A plus-minus grading scale … should not be used at Radford University” because, as he explains, it is “inequitable.”  The PIE structure of his paragraph has served to support his thesis.

ALL CLAIMS NEED EVIDENCE

Ever heard the phrase “everyone is entitled to his opinion”? It is indeed true that people are free to believe whatever they wish. However, the mere fact that a person believes something is not an argument in support of a position. If a text’s goal is to communicate effectively, it must provide valid explanations and sufficient and relevant evidence to convince its audience to accept that position. In other words, “every author is entitled to his opinion, but no author is entitled to have his opinion go unchallenged.”

What are the types of evidence?

Any text should provide illustrations for each of its points, but it is especially important to provide reliable evidence in an academic argument. This evidence can be based on primary source material or data (the author’s own experience and/or interviews, surveys, polls, experiments, that she may have created and administered). Evidence can also stem from secondary source material or data (books, journals, newspapers, magazines, websites or surveys, experiments, statistics, polls, and other data collected by others).

Let’s say, for example, that you are reading an argument that college instructors should let students use cell phones in class. Primary source material might include a survey the author administered that asks students if policies forbidding cell phone usage actually stop them from using their phones in class.  Secondary sources might include articles about the issue from Faculty Focus or The Chronicle of Higher Education .

• Revision and Adaptation. Provided by : Lumen Learning. License : CC BY: Attribution
• Image of point. Authored by : Joshua Rappeneker. Located at : https://flic.kr/p/mWga . License : CC BY-SA: Attribution-ShareAlike
• Academic Argument Essay. Provided by : Radford University. Located at : http://lcubbison.pressbooks.com/chapter/core-101-academic-argument-essay/ . Project : Core Handbook. License : Public Domain: No Known Copyright

How to Write an Explanatory Essay: Comprehensive Guide with Examples

What Is an Explanatory Essay: Definition

Have you ever been tasked with explaining a complex topic to someone without prior knowledge? It can be challenging to break down complex ideas into simple terms that are easy to understand. That's where explanatory writing comes in! An explanatory essay, also known as an expository essay, is a type of academic writing that aims to explain a particular topic or concept clearly and concisely. These essays are often used in academic settings but can also be found in newspapers, magazines, and online publications.

For example, if you were asked to explain how a car engine works, you would need to provide a step-by-step explanation of the different parts of the engine and how they work together to make the car move. Or, if you were asked to explain the process of photosynthesis, you would need to explain how plants use sunlight, water, and carbon dioxide to create energy.

When wondering - 'what is an explanatory essay?', remember that the goal of an explanatory paper is to provide the reader with a better understanding of the topic at hand. Unlike an opinion essay , this type of paper does not argue for or against a particular viewpoint but rather presents information neutrally and objectively. By the end of the essay, the reader should clearly understand the topic and be able to explain it to others in their own words.

Also, there is no set number of paragraphs in an explanatory essay, as it can vary depending on the length and complexity of the topic. However, when wondering - 'how many paragraphs in an explanatory essay?', know that a typical example of explanatory writing will have an introduction, body paragraphs, and a conclusion.

However, some essays may have more or fewer body paragraphs, depending on the topic and the writer's preference. Ultimately, an explanatory essay format aims to provide a clear and thorough explanation of the topic, using as many paragraphs as necessary.

20 Interesting Explanatory Essay Topics 

Now that we have defined what is explanatory essay, the next step is choosing a good explanatory topic. A well-chosen topic is interesting and relevant to your audience while also being something you are knowledgeable about and can provide valuable insights on. By selecting a topic that is too broad or too narrow, you run the risk of either overwhelming your audience with too much information or failing to provide enough substance to fully explain the topic. Additionally, choosing a topic that is too controversial or biased can lead to difficulty in presenting information objectively and neutrally. By choosing a good explanatory topic, you can ensure that your essay is well-informed, engaging, and effective in communicating your ideas to your audience.

Here are 20 creative explanatory essay topics by our admission essay service to consider:

• How does the human brain process emotions?
• The benefits and drawbacks of remote work.
• The science behind climate change and its effects.
• The history and evolution of hip-hop music.
• The impact of social media on mental health.
• The benefits of learning a second language.
• The process of how a computer operates.
• The causes and effects of bullying in schools.
• The impact of technology on modern education.
• The reasons for the decline of bee populations and their importance to the ecosystem.
• The effects of caffeine on the human body.
• The process of how vaccines work to prevent disease.
• The impact of video games on youth behavior and development.
• The reasons for the gender pay gap and how to close it.
• The benefits and drawbacks of renewable energy sources.
• The history and cultural significance of tattoos.
• The causes and effects of income inequality in society.
• The process of how a book is published.
• The impact of social media on political discourse.
• The benefits and drawbacks of the gig economy.

How to Start an Explanatory Essay: Important Steps

Starting an explanatory essay can be challenging, especially if you are unsure where to begin. However, by following a few simple steps, you can effectively kick-start your writing process and produce a clear and concise essay. Here are some tips and examples from our term paper writing services on how to start an explanatory essay:

• Choose an engaging topic : Your topic should be interesting, relevant, and meaningful to your audience. For example, if you're writing about climate change, you might focus on a specific aspect of the issue, such as the effects of rising sea levels on coastal communities.
• Conduct research : Gather as much information as possible on your topic. This may involve reading scholarly articles, conducting interviews, or analyzing data. For example, if you're writing about the benefits of mindfulness meditation, you might research the psychological and physical benefits of the practice.
• Develop an outline : Creating an outline will help you logically organize your explanatory essay structure. For example, you might organize your essay on the benefits of mindfulness meditation by discussing its effects on mental health, physical health, and productivity.
• Provide clear explanations: When writing an explanatory article, it's important to explain complex concepts clearly and concisely. Use simple language and avoid technical jargon. For example, if you're explaining the process of photosynthesis, you might use diagrams and visual aids to help illustrate your points.
• Use evidence to support your claims : Use evidence from reputable sources to support your claims and arguments. This will help to build credibility and persuade your readers. For example, if you're writing about the benefits of exercise, you might cite studies that demonstrate its positive effects on mental health and cognitive function.

By following these tips and examples, you can effectively start your expository essays and produce a well-structured, informative, and engaging piece of writing.

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Explanatory Essay Outline

As mentioned above, it's important to create an explanatory essay outline to effectively organize your ideas and ensure that your essay is well-structured and easy to follow. An outline helps you organize your thoughts and ideas logically and systematically, ensuring that you cover all the key points related to your topic. It also helps you identify gaps in your research or argument and allows you to easily revise and edit your essay. In this way, an outline can greatly improve the overall quality and effectiveness of your explanatory essay.

Explanatory Essay Introduction

Here are some tips from our ' do my homework ' service to create a good explanatory essay introduction that effectively engages your readers and sets the stage for the entire essay:

• Start with a hook: Begin your introduction with an attention-grabbing statement or question that draws your readers in. For example, you might start your essay on the benefits of exercise with a statistic on how many Americans suffer from obesity.
• Provide context: Give your readers some background information on the topic you'll be discussing. This helps to set the stage and ensures that your readers understand the importance of the topic. For example, you might explain the rise of obesity rates in the United States over the past few decades.
• State your thesis: A good explanatory thesis example should be clear, concise, and focused. It should state the main argument or point of your essay. For example, you might state, ' Regular exercise is crucial to maintaining a healthy weight and reducing the risk of chronic diseases.'
• Preview your main points: Give your readers an idea of what to expect in the body of your essay by previewing your main points. For example, you might explain that you'll be discussing the benefits of exercise for mental health, physical health, and longevity.
• Keep it concise: Your introduction should be brief and to the point. Avoid getting bogged down in too much detail or providing too much background information. A good rule of thumb is to keep your introduction to one or two paragraphs.

The Body Paragraphs

By following the following tips, you can create well-organized, evidence-based explanation essay body paragraphs that effectively support your thesis statement.

• Use credible sources: When providing evidence to support your arguments, use credible sources such as peer-reviewed academic journals or reputable news outlets. For example, if you're writing about the benefits of a plant-based diet, you might cite a study published in the Journal of the American Medical Association.
• Organize your paragraphs logically: Each body paragraph should focus on a specific aspect or argument related to your topic. Organize your paragraphs logically so that each one builds on the previous one. For example, if you're writing about the causes of climate change, you might organize your paragraphs to focus on human activity, natural causes, and the effects of climate change.
• Use transitional phrases: Use transitional phrases to help your readers follow the flow of your ideas. For example, you might use phrases such as 'in addition,' 'furthermore,' or 'on the other hand' to indicate a shift in your argument.
• Provide analysis: Don't just present evidence; provide analysis and interpretation of the evidence. For example, if you're writing about the benefits of early childhood education, you might analyze the long-term effects on academic achievement and future earnings.
• Summarize your main points: End each body paragraph with a sentence that summarizes the main point or argument you've made. This helps to reinforce your thesis statement and keep your essay organized. For example, you might end a paragraph on the benefits of exercise by stating, 'Regular exercise has been shown to improve mental and physical health, making it a crucial aspect of a healthy lifestyle.'

Explanatory Essay Conclusion

Here are some unique tips on how to write an explanatory essay conclusion that leaves a lasting impression on your readers.

• Offer a solution or recommendation: Instead of summarizing your main points, offer suggestions based on the information you've presented. This can help to make your essay more impactful and leave a lasting impression on your readers. For example, if you're writing about the effects of pollution on the environment, you might recommend using more eco-friendly products or investing in renewable energy sources.
• Emphasize the importance of your topic: Use your concluding statement to emphasize the importance of your topic and why it's relevant to your readers. This can help to inspire action or change. For example, suppose you're writing about the benefits of volunteering. In that case, you might emphasize how volunteering helps others and has personal benefits such as improved mental health and a sense of purpose.
• End with a powerful quote or statement: End your explanatory essay conclusion with a powerful quote or statement that reinforces your main point or leaves a lasting impression on your readers. For example, if you're writing about the importance of education, you might end your essay with a quote from Nelson Mandela, such as, 'Education is the most powerful weapon which you can use to change the world.'

Explanatory Essay Example

Here is an example of an explanatory essay:

Explanatory Essay Example:

Importance of Basketball

Final Thoughts

Now you understand whats an explanatory essay. However, if you're still feeling overwhelmed or unsure about writing an explanatory essay, don't worry. Our team of experienced writers is here to provide you with top-notch academic assistance tailored to your specific needs. Whether you need to explain what is an appendix in your definition essay or rewrite essay in five paragraphs, we've got you covered! With our professional help, you can ensure that your essay is well-researched, well-written, and meets all the academic requirements.

And if you'd rather have a professional craft flawless explanatory essay examples, know that our friendly team is dedicated to helping you succeed in your academic pursuits. So why not take the stress out of writing and let us help you achieve the academic success you deserve? Contact us today with your ' write paper for me ' request, and we will support you every step of the way.

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Related Articles

ENGL001: English Composition I

Point, illustration, explanation.

Read this article about the PIE method of structuring and organizing body paragraphs. This method breaks a paragraph into three parts: the point, the illustration, and the explanation. By using this method, you can keep your paragraphs focused and connected to your thesis.

How Does the Structure of a Body Paragraph Support a Thesis?

Many authors use the PIE format to structure their essays: PIE = point , illustration , explanation .

The point furthers a thesis or claim, the illustration provides support for the point, and the explanation tells the audience why the evidence provided furthers the point and/or the thesis.

For example, in his argument against the +/- grading system at Radford, student-writer Tareq Hajj makes the point that "without the A+, students with high grades in the class would be less motivated to work even harder in order to increase their grades".

He illustrates with a quote from a professor who argues, "'(students) have less incentive to try'" (Fesheraki, 2013).

Hajj then explains that "not providing [the most motivated students] with additional motivation of a higher grade … is inequitable".

Through his explanation, Hajj links back to his claim that "A plus-minus grading scale … should not be used at Radford University "because, as he explains, it is "inequitable".

The PIE structure of his paragraph has served to support his thesis.

All Claims Need Evidence

Ever heard the phrase "everyone is entitled to his opinion"? It is indeed true that people are free to believe whatever they wish. However, the mere fact that a person believes something is not an argument in support of a position. If a text's goal is to communicate effectively, it must provide valid explanations and sufficient and relevant evidence to convince its audience to accept that position. In other words, "every author is entitled to his opinion, but no author is entitled to have his opinion go unchallenged".

What are the Types of Evidence?

Any text should provide illustrations for each of its points, but it is especially important to provide reliable evidence in an academic argument. This evidence can be based on primary source material or data (the author's own experience and/or interviews, surveys, polls, experiments, that they may have created and administered). Evidence can also stem from secondary source material or data (books, journals, newspapers, magazines, websites or surveys, experiments, statistics, polls, and other data collected by others).

Let's say, for example, that you are reading an argument that college instructors should let students use cell phones in class. Primary source material might include a survey the author administered that asks students if policies forbidding cell phone usage actually stop them from using their phones in class. Secondary sources might include articles about the issue from Faculty Focus or The Chronicle of Higher Education .

Paragraph Development with PIE

Paragraph Development with PIE Podcast

Paragraph development with pie transcript.

Greetings everyone. This is Kurtis Clements with another effective writing podcast. In this episode, I am going to talk about developing body paragraphs with a technique called PIE.

In my experience, writers often have one of two problem areas related to paragraph development: not enough development or not enough of the right kind of development. What I mean by the latter is the idea that just because a paragraph contains a lot of content does not necessarily mean that content is doing the best job developing the idea of the paragraph.

One good way to go about developing paragraphs is to use the PIE method, which is an approach that has been around in some form or another I imagine since the time of Aristotle. So for a long time. PIE is an acronym that stands for develop a limited point (that’s the P) in a paragraph; illustrate (that’s the I”) the point with supporting information; the E stands for explain how the evidence supports the point of the paragraph and relates to the thesis of the essay.

Restated: P = Point I = Illustrate E = Explain

Paragraphs need to make clear and focused points. I mean, that’s the point of a paragraph right? To make a point. Whether or not you use a topic sentence at the start of the paragraph does not matter, for the paragraph still needs to make a point.

In order to make a point, you have to illustrate the point by using evidence—details, facts, statistics, testimony, examples, and the like. Supporting information helps readers understand the point you are trying to make in a paragraph.

Evidence alone will not help you develop the point. What every paragraph needs is elaboration where you explain the relevance of the information presented as it relates to the point of the paragraph as well as the essay as a whole. As the writer, you need to offer thoughtful commentary of the supporting details you use to illustrate the point. This last part is critical to the success of a paragraph, for its this kind of commentary where the writer offers analysis and interpretation of the content as it relates to their point. It’s also how the writer connects the point of the paragraph to the larger point of the essay.

I am going to read a sample paragraph and as I do, listen for the elements of PIE that may be missing:

The United States Postal Service has a proud history. Benjamin Franklin was named Postmaster General in 1775 even before The Declaration of Independence was signed in 1776 (USPS, 2007). Through the evolution of the service, the mission of the USPS has remained the same: “provide universal service to all Americans. From the bottom of the Grand Canyon to the furthermost point in Alaska, mail gets through” (USPS, 2010,para. 4). The United States Postal Service provides 596,000 jobs and has donated over$70 million to breast cancer research (USPS, 2010).

What did you hear? Or, should I ask, what did you not hear? The paragraph starts out with a clear focus—the proud history of the postal service—and that point is illustrated with some good examples. But what’s it all add up to? Is there any explanation that discusses how the information relates to the point of the paragraph and to the larger point of the essay? Do you have any sense of what this paragraph as a whole is trying to support? Do you sense a connectedness to a thesis? I don’t think so. I see this paragraph as just floating in the sea.

This is how PIE can help you. If you think about your paragraphs as needing those three parts—Point, Illustration, and Explanation—then you are more likely to notice that what is lacking in the paragraph I read is explanation, language that helps readers understand the relevance of the information as it relates to the point of the paragraph and to the larger point, the thesis, of the essay. Listen to the revised version of the paragraph:

The United States Postal Service has a proud history. Benjamin Franklin was named Postmaster General in 1775 even before The Declaration of Independence was signed in 1776 (USPS, 2007). Through the evolution of the service, the mission of the USPS has remained the same: “provide universal service to all Americans. From the bottom of the Grand Canyon to the furthermost point in Alaska, mail gets through” (USPS, 2010,para. 4). In addition to those accomplishments, the USPS also provides nearly 600,000 jobs and has donated over $70 million to breast cancer research through its breast cancer awareness stamps (USPS, 2010). The United States Postal Service has been an important institution and provided valuable services for over two hundred and thirty years—all at no cost to U.S. taxpayers. While the post office needs to redefine how it conducts business in the electronic age, eliminating the service is not the answer. In fact, there is no reason the postal service cannot, once again, change with the times and continue to add to its rich history and accomplishments.

What do you think? Better? Did it seem as if the paragraph was trying to develop a point and that point was connected to a bigger idea? Was there enough explanation—that is, was there enough commentary on the information presented so that you understand better the point of the paragraph as well as how the paragraph relates to the thesis? When you offer explanation, you are, in a sense, taking a step back and examining-analyzing—the information presented and making sure readers understand how the information relates to the point of the paragraph and to the larger point of the essay. The revision offers language such as the “in addition to those accomplishments” and “also” in the sentence “In addition to those accomplishments, the USPS also provides nearly 600,000 jobs and has donated over 70 million dollars to breast cancer research” thereby creating the sense that the USPS already has many accomplishments and on top of those, the postal service also has other accomplishments. The language connects the new piece of information to other pieces of information which are all connected to the idea of proud accomplishments.

The revision also includes three full sentences of explanation after the last piece of information—all of which work to connect that information to the point of the paragraph and to what the essay as a whole is trying to communicate. Listen:

The first version of the paragraph stops after the sentence “The United States Postal Service provides nearly 600.000 jobs and has donated over $70 million to breast cancer research.” That’s it—a paragraph floating in an ocean, insignificant and hardly noticed. But listen to what happens when the writer explains the importance of the information:

In addition to those accomplishments, the United States Postal Service also provides nearly 600,000 jobs and has donated over $70 million to breast cancer research through its breast cancer awareness stamps (USPS, 2010). The United States Postal Service has been an important institution and provided valuable services for over two hundred and thirty years—all at no cost to U.S. taxpayers. While the post office needs to redefine how it conducts business in the electronic age, eliminating the service is not the answer. In fact, there is no reason the postal service cannot, once again, change with the times and continue to add to its rich history and accomplishments.

Do hear the difference? Do you understand the importance not just making a point and illustrating a point but also—perhaps most importantly—explaining the importance of that information through commentary and analysis? The revised paragraph, which is only three sentences and maybe five words longer than the original is better by leaps and bounds.

When you are working on an essay and developing body paragraphs, keep PIE in mind—the idea that body paragraphs need to make a point, information presented needs to illustrate that point, and commentary and analysis is essential to explain the significance of the point. Indeed, PIE is an effective method for developing healthy paragraphs. Thanks for listening, everyone.

Happy writing!

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3.3: Strong paragraphs start with good evidence

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Support your thesis with evidence AND analysis

A paragraph is a group of sentences that present, develop, and support a single idea. That’s it. There’s no prescribed length or number of sentences. In academic writing, body paragraphs need to work together with the thesis to support your main point. If your thesis states where your essay wants to go, then your body paragraphs need to show the reader how you get there. Paragraphs rarely stand alone, so most often the main topic of the paragraph serves the main concept or purpose of a larger whole; for example, the main idea of a paragraph in an essay should serve to develop and support the thesis of the essay. 

By reading and annotating your sources, and by responding and analyzing to those sources, you should have developed lots of ideas that can now form the beginnings of your paragraphs. If you don't have ideas about your sources yet, STOP WRITING AND READ AGAIN. When writing with and about sources, you want to have the ideas before you start writing. If you start your paragraphs without evidence with the intention of add the evidence later, you are likely to fall into the trap of confirmation bias : only seeing the evidence you want to see. And, adding the evidence later makes it harder to develop your ideas sufficiently. 

Topic Sentence

The job of the topic sentence is to control the development and flow of the information contained in the paragraph. The topic sentence takes control of the more general topic of the paragraph and shapes it in the way that you choose to present it to your readers. It provides a way through a topic that is likely much broader than what you could ever cover in a paragraph, or even in an essay. This more focused idea, your topic sentence, helps you determine the parts of the topic that you want to illuminate for your readers—whether that’s a college essay or a thank you letter to your Aunt Martha.  The following diagram illustrates how a topic sentence can provide more focus to the general topic at hand.

Select the Most Effective Primary Support for a Thesis Statement 

When you support your thesis, you are revealing evidence. Evidence includes anything that can help support your stance. The following are the kinds of evidence you will encounter as you conduct your research:

• Facts.  Facts, such as statistics, are the best kind of evidence to use because they often cannot be disputed. They can support your stance by providing background information on or a solid foundation for your point of view. However, facts still need explanation. For example, the sentence “The most populated state in the United States is California” is a pure fact, but it will require some explanation to make it relevant to your specific argument. Always be sure you gather your facts from credible sources.
• Judgments.  Judgments are conclusions drawn from the given facts. Judgments are more credible than opinions because they are founded upon careful reasoning and examination of a topic. Use judgments from experts in the field as they are the more credible sources for the topic.
• Testimony.  Testimony consists of direct quotations from either an eyewitness or an expert witness. An eyewitness is someone who directly observed an instance of what you are writing about; testimony adds authenticity to an argument based on facts. An expert witness is a person who has extensive experience with a topic. This person studies the facts and provides commentary based on either facts or judgments, or both. An expert witness adds authority and credibility to an argument.
• Personal observation.  Personal observation is similar to testimony, but personal observation consists of your testimony. It reflects what you know to be true because you have experiences and have formed either opinions or judgments about them. For instance, if you are one of five children and your thesis states that being part of a large family is beneficial to a child’s social development, you could use your own experience to support your thesis.

Include Supporting Detail Sentences for the Topic Sentence

After deciding which primary support points you will use as your topic sentences, you must add details to clarify and demonstrate each of those points. These supporting details provide examples, facts, or evidence that support the topic sentence.

The following paragraph contains supporting detail sentences for the the topic sentence, which is underlined.

J.D. Salinger, a World War II veteran, suffered from posttraumatic stress disorder, a disorder that influenced the themes in many of his works.  He did not hide his mental anguish over the horrors of war and once told his daughter, “You never really get the smell of burning flesh out of your nose, no matter how long you live.” His short story “A Perfect Day for a Bananafish” details a day in the life of a WWII veteran who was recently released from an army hospital for psychiatric problems. The man acts questionably with a little girl he meets on the beach before he returns to his hotel room and commits suicide. Another short story, “For Esmé – with Love and Squalor,” is narrated by a traumatized soldier who sparks an unusual relationship with a young girl he meets before he departs to partake in D-Day. Finally, in Salinger’s only novel,  The Catcher in the Rye , he continues with the theme of posttraumatic stress, though not directly related to war. From a rest home for the mentally ill, sixteen-year-old Holden Caulfield narrates the story of his nervous breakdown following the death of his younger brother.

Adding Explanation and Elaboration in your Body Paragraphs 

In addition to supporting details, college level paragraphs add quite a bit of explanation and elaboration in body paragraphs. Development of explanation and elaboration is one of the big differences between high school and college-level writing. Rather than just appearing in one paragraph all by itself -- possibly in a conclusion -- explanation and elaboration should appear through your essay. Some sentence stems you can use to help you develop your explanation and elaboration appear in the following list.

Sentence Stems for Elaboration 

• X matters because ___________.
• X is important because ___________.
• X is crucial in terms of today’s concern over ___________ because ___________.
• Ultimately, what is at stake here is ___________.
• These points have important consequences for the broader discussion about ___________.
• The discussion of X is in fact addressing the larger matter of ___________.
• These conclusions have significant implications for ___________.
• X should in fact concern anyone who cares about ___________.

These 4 videos review the paragraph ideas shared on this page 

Authored by:  GoReadWriteNow.  License:  All Rights Reserved .  License Terms:  Standard YouTube

Contributors 

• Adapted from  Writing for Success.   Provided by:  The Saylor Foundation.  License:  CC-NC-SA 3.0   and The Word on College Reading and Writing

How to Research: Get Started Writing/ Paragraph structure

• Library Tutorials
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Structure of a Paragraph

Point= The main point, or idea, you are making in the paragraph. Also known as a Topic Sentence.

Information= The specific fact or example which supports the point you are trying to make. It must be specific and will usually be concrete (numbers, statistic, quote, etc.). Also known as Evidence.

Explanation= An explanation in your own words of how the example supports the point you are trying to make and how this idea supports the main idea of the essay as a whole. Also known as Analysis/ Evaluation.

This structure is most effective when the reader can tell the difference between these three parts.

Hartwig, Jennifer. "P.I.E. Recipe for Paragraphs."  YouTube . YouTube, 02 Aug. 2013. Web. 14 Mar. 2016.

The Writing Process

Before You Write:

Know your purpose for writing. Is it to persuade, to compare, to describe?

Know your audience . Is it your peers or the instructor?  The tone and formality of the writing should reflect the audience you are trying to reach.  

Steps of the Writing Process:

Brainstorming - during this stage, you want to generate as many ideas as possible without critique.  This is the time to be creative and come up with many ideas. 

Drafting-  it is important during drafting to be open to feedback and change.  Ask a peer or visit a writing tutor for objective feedback. Ask them to evaluate your writing in the following areas:  Ideas- are they clear and well-organized; thesis- is the main point you are making clear; evidence- do you have ample evidence that supports the point you are making; research- are your sources valid and authoritative, and do you cite them correctly; language/ word choice- is the work well edited and vocabulary appropriate to the topic and audience.

Revision-   After seeking feedback and rereading your own work, rewrite your paper to address any areas of concern or expand on areas of strength.  Good writers revise many times, knowing this process improves the final quality of the work.

Editing-   You should be editing throughout the writing process, but make sure you do a final edit.  It can help to read your work aloud. 

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What this handout is about

This handout will provide a broad overview of gathering and using evidence. It will help you decide what counts as evidence, put evidence to work in your writing, and determine whether you have enough evidence. It will also offer links to additional resources.

Introduction

Many papers that you write in college will require you to make an argument ; this means that you must take a position on the subject you are discussing and support that position with evidence. It’s important that you use the right kind of evidence, that you use it effectively, and that you have an appropriate amount of it. If, for example, your philosophy professor didn’t like it that you used a survey of public opinion as your primary evidence in your ethics paper, you need to find out more about what philosophers count as good evidence. If your instructor has told you that you need more analysis, suggested that you’re “just listing” points or giving a “laundry list,” or asked you how certain points are related to your argument, it may mean that you can do more to fully incorporate your evidence into your argument. Comments like “for example?,” “proof?,” “go deeper,” or “expand” in the margins of your graded paper suggest that you may need more evidence. Let’s take a look at each of these issues—understanding what counts as evidence, using evidence in your argument, and deciding whether you need more evidence.

What counts as evidence?

Before you begin gathering information for possible use as evidence in your argument, you need to be sure that you understand the purpose of your assignment. If you are working on a project for a class, look carefully at the assignment prompt. It may give you clues about what sorts of evidence you will need. Does the instructor mention any particular books you should use in writing your paper or the names of any authors who have written about your topic? How long should your paper be (longer works may require more, or more varied, evidence)? What themes or topics come up in the text of the prompt? Our handout on understanding writing assignments can help you interpret your assignment. It’s also a good idea to think over what has been said about the assignment in class and to talk with your instructor if you need clarification or guidance.

What matters to instructors?

Instructors in different academic fields expect different kinds of arguments and evidence—your chemistry paper might include graphs, charts, statistics, and other quantitative data as evidence, whereas your English paper might include passages from a novel, examples of recurring symbols, or discussions of characterization in the novel. Consider what kinds of sources and evidence you have seen in course readings and lectures. You may wish to see whether the Writing Center has a handout regarding the specific academic field you’re working in—for example, literature , sociology , or history .

What are primary and secondary sources?

A note on terminology: many researchers distinguish between primary and secondary sources of evidence (in this case, “primary” means “first” or “original,” not “most important”). Primary sources include original documents, photographs, interviews, and so forth. Secondary sources present information that has already been processed or interpreted by someone else. For example, if you are writing a paper about the movie “The Matrix,” the movie itself, an interview with the director, and production photos could serve as primary sources of evidence. A movie review from a magazine or a collection of essays about the film would be secondary sources. Depending on the context, the same item could be either a primary or a secondary source: if I am writing about people’s relationships with animals, a collection of stories about animals might be a secondary source; if I am writing about how editors gather diverse stories into collections, the same book might now function as a primary source.

Where can I find evidence?

Here are some examples of sources of information and tips about how to use them in gathering evidence. Ask your instructor if you aren’t sure whether a certain source would be appropriate for your paper.

Print and electronic sources

Books, journals, websites, newspapers, magazines, and documentary films are some of the most common sources of evidence for academic writing. Our handout on evaluating print sources will help you choose your print sources wisely, and the library has a tutorial on evaluating both print sources and websites. A librarian can help you find sources that are appropriate for the type of assignment you are completing. Just visit the reference desk at Davis or the Undergraduate Library or chat with a librarian online (the library’s IM screen name is undergradref).

Observation

Sometimes you can directly observe the thing you are interested in, by watching, listening to, touching, tasting, or smelling it. For example, if you were asked to write about Mozart’s music, you could listen to it; if your topic was how businesses attract traffic, you might go and look at window displays at the mall.

An interview is a good way to collect information that you can’t find through any other type of research. An interview can provide an expert’s opinion, biographical or first-hand experiences, and suggestions for further research.

Surveys allow you to find out some of what a group of people thinks about a topic. Designing an effective survey and interpreting the data you get can be challenging, so it’s a good idea to check with your instructor before creating or administering a survey.

Experiments

Experimental data serve as the primary form of scientific evidence. For scientific experiments, you should follow the specific guidelines of the discipline you are studying. For writing in other fields, more informal experiments might be acceptable as evidence. For example, if you want to prove that food choices in a cafeteria are affected by gender norms, you might ask classmates to undermine those norms on purpose and observe how others react. What would happen if a football player were eating dinner with his teammates and he brought a small salad and diet drink to the table, all the while murmuring about his waistline and wondering how many fat grams the salad dressing contained?

Personal experience

Using your own experiences can be a powerful way to appeal to your readers. You should, however, use personal experience only when it is appropriate to your topic, your writing goals, and your audience. Personal experience should not be your only form of evidence in most papers, and some disciplines frown on using personal experience at all. For example, a story about the microscope you received as a Christmas gift when you were nine years old is probably not applicable to your biology lab report.

Using evidence in an argument

Does evidence speak for itself.

Absolutely not. After you introduce evidence into your writing, you must say why and how this evidence supports your argument. In other words, you have to explain the significance of the evidence and its function in your paper. What turns a fact or piece of information into evidence is the connection it has with a larger claim or argument: evidence is always evidence for or against something, and you have to make that link clear.

As writers, we sometimes assume that our readers already know what we are talking about; we may be wary of elaborating too much because we think the point is obvious. But readers can’t read our minds: although they may be familiar with many of the ideas we are discussing, they don’t know what we are trying to do with those ideas unless we indicate it through explanations, organization, transitions, and so forth. Try to spell out the connections that you were making in your mind when you chose your evidence, decided where to place it in your paper, and drew conclusions based on it. Remember, you can always cut prose from your paper later if you decide that you are stating the obvious.

Here are some questions you can ask yourself about a particular bit of evidence:

• OK, I’ve just stated this point, but so what? Why is it interesting? Why should anyone care?
• What does this information imply?
• What are the consequences of thinking this way or looking at a problem this way?
• I’ve just described what something is like or how I see it, but why is it like that?
• I’ve just said that something happens—so how does it happen? How does it come to be the way it is?
• Why is this information important? Why does it matter?
• How is this idea related to my thesis? What connections exist between them? Does it support my thesis? If so, how does it do that?
• Can I give an example to illustrate this point?

Answering these questions may help you explain how your evidence is related to your overall argument.

How can I incorporate evidence into my paper?

There are many ways to present your evidence. Often, your evidence will be included as text in the body of your paper, as a quotation, paraphrase, or summary. Sometimes you might include graphs, charts, or tables; excerpts from an interview; or photographs or illustrations with accompanying captions.

When you quote, you are reproducing another writer’s words exactly as they appear on the page. Here are some tips to help you decide when to use quotations:

• Quote if you can’t say it any better and the author’s words are particularly brilliant, witty, edgy, distinctive, a good illustration of a point you’re making, or otherwise interesting.
• Quote if you are using a particularly authoritative source and you need the author’s expertise to back up your point.
• Quote if you are analyzing diction, tone, or a writer’s use of a specific word or phrase.
• Quote if you are taking a position that relies on the reader’s understanding exactly what another writer says about the topic.

Be sure to introduce each quotation you use, and always cite your sources. See our handout on quotations for more details on when to quote and how to format quotations.

Like all pieces of evidence, a quotation can’t speak for itself. If you end a paragraph with a quotation, that may be a sign that you have neglected to discuss the importance of the quotation in terms of your argument. It’s important to avoid “plop quotations,” that is, quotations that are just dropped into your paper without any introduction, discussion, or follow-up.

Paraphrasing

When you paraphrase, you take a specific section of a text and put it into your own words. Putting it into your own words doesn’t mean just changing or rearranging a few of the author’s words: to paraphrase well and avoid plagiarism, try setting your source aside and restating the sentence or paragraph you have just read, as though you were describing it to another person. Paraphrasing is different than summary because a paraphrase focuses on a particular, fairly short bit of text (like a phrase, sentence, or paragraph). You’ll need to indicate when you are paraphrasing someone else’s text by citing your source correctly, just as you would with a quotation.

When might you want to paraphrase?

• Paraphrase when you want to introduce a writer’s position, but their original words aren’t special enough to quote.
• Paraphrase when you are supporting a particular point and need to draw on a certain place in a text that supports your point—for example, when one paragraph in a source is especially relevant.
• Paraphrase when you want to present a writer’s view on a topic that differs from your position or that of another writer; you can then refute writer’s specific points in your own words after you paraphrase.
• Paraphrase when you want to comment on a particular example that another writer uses.
• Paraphrase when you need to present information that’s unlikely to be questioned.

When you summarize, you are offering an overview of an entire text, or at least a lengthy section of a text. Summary is useful when you are providing background information, grounding your own argument, or mentioning a source as a counter-argument. A summary is less nuanced than paraphrased material. It can be the most effective way to incorporate a large number of sources when you don’t have a lot of space. When you are summarizing someone else’s argument or ideas, be sure this is clear to the reader and cite your source appropriately.

Statistics, data, charts, graphs, photographs, illustrations

Sometimes the best evidence for your argument is a hard fact or visual representation of a fact. This type of evidence can be a solid backbone for your argument, but you still need to create context for your reader and draw the connections you want them to make. Remember that statistics, data, charts, graph, photographs, and illustrations are all open to interpretation. Guide the reader through the interpretation process. Again, always, cite the origin of your evidence if you didn’t produce the material you are using yourself.

Do I need more evidence?

Let’s say that you’ve identified some appropriate sources, found some evidence, explained to the reader how it fits into your overall argument, incorporated it into your draft effectively, and cited your sources. How do you tell whether you’ve got enough evidence and whether it’s working well in the service of a strong argument or analysis? Here are some techniques you can use to review your draft and assess your use of evidence.

Make a reverse outline

A reverse outline is a great technique for helping you see how each paragraph contributes to proving your thesis. When you make a reverse outline, you record the main ideas in each paragraph in a shorter (outline-like) form so that you can see at a glance what is in your paper. The reverse outline is helpful in at least three ways. First, it lets you see where you have dealt with too many topics in one paragraph (in general, you should have one main idea per paragraph). Second, the reverse outline can help you see where you need more evidence to prove your point or more analysis of that evidence. Third, the reverse outline can help you write your topic sentences: once you have decided what you want each paragraph to be about, you can write topic sentences that explain the topics of the paragraphs and state the relationship of each topic to the overall thesis of the paper.

For tips on making a reverse outline, see our handout on organization .

Color code your paper

You will need three highlighters or colored pencils for this exercise. Use one color to highlight general assertions. These will typically be the topic sentences in your paper. Next, use another color to highlight the specific evidence you provide for each assertion (including quotations, paraphrased or summarized material, statistics, examples, and your own ideas). Lastly, use another color to highlight analysis of your evidence. Which assertions are key to your overall argument? Which ones are especially contestable? How much evidence do you have for each assertion? How much analysis? In general, you should have at least as much analysis as you do evidence, or your paper runs the risk of being more summary than argument. The more controversial an assertion is, the more evidence you may need to provide in order to persuade your reader.

Play devil’s advocate, act like a child, or doubt everything

This technique may be easiest to use with a partner. Ask your friend to take on one of the roles above, then read your paper aloud to them. After each section, pause and let your friend interrogate you. If your friend is playing devil’s advocate, they will always take the opposing viewpoint and force you to keep defending yourself. If your friend is acting like a child, they will question every sentence, even seemingly self-explanatory ones. If your friend is a doubter, they won’t believe anything you say. Justifying your position verbally or explaining yourself will force you to strengthen the evidence in your paper. If you already have enough evidence but haven’t connected it clearly enough to your main argument, explaining to your friend how the evidence is relevant or what it proves may help you to do so.

Common questions and additional resources

• I have a general topic in mind; how can I develop it so I’ll know what evidence I need? And how can I get ideas for more evidence? See our handout on brainstorming .
• Who can help me find evidence on my topic? Check out UNC Libraries .
• I’m writing for a specific purpose; how can I tell what kind of evidence my audience wants? See our handouts on audience , writing for specific disciplines , and particular writing assignments .
• How should I read materials to gather evidence? See our handout on reading to write .
• How can I make a good argument? Check out our handouts on argument and thesis statements .
• How do I tell if my paragraphs and my paper are well-organized? Review our handouts on paragraph development , transitions , and reorganizing drafts .
• How do I quote my sources and incorporate those quotes into my text? Our handouts on quotations and avoiding plagiarism offer useful tips.
• How do I cite my evidence? See the UNC Libraries citation tutorial .
• I think that I’m giving evidence, but my instructor says I’m using too much summary. How can I tell? Check out our handout on using summary wisely.
• I want to use personal experience as evidence, but can I say “I”? We have a handout on when to use “I.”

Works consulted

We consulted these works while writing this handout. This is not a comprehensive list of resources on the handout’s topic, and we encourage you to do your own research to find additional publications. Please do not use this list as a model for the format of your own reference list, as it may not match the citation style you are using. For guidance on formatting citations, please see the UNC Libraries citation tutorial . We revise these tips periodically and welcome feedback.

Lunsford, Andrea A., and John J. Ruszkiewicz. 2016. Everything’s an Argument , 7th ed. Boston: Bedford/St Martin’s.

Miller, Richard E., and Kurt Spellmeyer. 2016. The New Humanities Reader , 5th ed. Boston: Cengage.

University of Maryland. 2019. “Research Using Primary Sources.” Research Guides. Last updated October 28, 2019. https://lib.guides.umd.edu/researchusingprimarysources .

You may reproduce it for non-commercial use if you use the entire handout and attribute the source: The Writing Center, University of North Carolina at Chapel Hill

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Tips And Ways For PEEL Paragraph Format

by Kayleen Lares | Dec 8, 2023 | Student Guide | 0 comments

Compelling arguments begin with a proper structure. The PEEL paragraph framework makes writing crisp, focused, and persuasive. This powerful technique grabs the reader’s attention with its acronym-based structure. PEEL anchor chart stands for Point, Evidence/Example, Explanation, and Link. In the following, we will emphasize each fact for ease of understanding and support your point. It is a complete guide for PEEL paragraph writing. Following are some explanations of PEEL. It can also be known as the acronym PEEL. Each element strengthens the overall message conveyance and embeds logic into the flow. 

In this blog, we will discuss the peel paragraph and explore:

– How does the PEEL model streamline the writing process into an elegant four-step system?

– Why is it essential to use the PEEL paragraph?

– Trending PEEL paragraph examples.

– Several ways to conclude PEEL paragraphs in academic writing.

Table of Contents

How To Write A PEEL Paragraph: Tips And Checklist

Using the PEEL method of writing strategy enhances your ability to express key points concisely. Here’s a step-by-step guide to help you utilize this practical writing approach:

Step 1: Grasp the PEEL paragraph structure:

Understand the PEEL acronym:

Step 2: Formulate Your Key Point (P):

Identify the central idea you want to convey. Be clear and concise. Your crucial Point sets the tone for the entire paragraph they’re about to read.

Step 3: Provide Explanation (E1):

You may need to explain the Point to your tutor. Go beyond just stating the point. Explain what you mean in more detail. This can involve defining terms, giving background information, or describing a process or concept.

Step 4: Introduce & Analyze The Evidence (E2):

Support your crucial point with relevant evidence. Choose evidence that strongly aligns with your central idea, whether it’s a quote, statistic, or example. Don’t just present evidence; analyze it. Explain how the evidence supports your crucial point. This step adds depth to your paragraph.

Step 5: Link to the Next Point (L):

Wrap up your paragraph by connecting it to the next one. This ensures a smooth flow and coherence in your overall paragraph writing.

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Why Is PEEL Writing Essential?

You’re writing a PEEL paragraph for some positive outcome. Following are some of the reasons why PEEL paragraph writing approach can be of great benefit:

• Structure and Organization: The PEEL technique provides clear structure and organization to writing. The “Point-Explanation-Evidence-Link” format helps writers express their reasoning and arguments in an orderly, coherent way that is easy for readers to follow. This clarity of thought and logic is critical for effective writing.
• Persuasive and Convincing: By methodically building an argument with Explanation, Evidence, and linkage, PEEL paragraphs enable writers to persuade and convince readers of particular viewpoints. The credibility of factual evidence and the flow of logic make writing more compelling. The PEEL model equips writers with core persuasive techniques to influence audience opinions.
• Develops Critical Thinking: The steps of PEEL – Point, Explanation, Evidence, and linkage – promote critical thinking and analysis. Writers must evaluate information, distill key points, provide thoughtful interpretation, and synthesize new insights. This strengthens abilities in reasoning, research, and developing balanced perspectives.
• Assessment Ready: Many standardized tests and academic assignments mandate the PEEL writing structure. It enables evaluators to systematically assess aspects like argumentation, use of Evidence, analysis, and conclusions. Following PEEL means writing ready for academic and professional assessment.
• Flexibility: While ideal for developing individual paragraphs, the PEEL technique can be effectively applied in longer pieces of writing as well – such as essays, reports, literature reviews, etc. For example, each critical section or chapter can follow a PEEL format.

Thus, PEEL writing equips writers with an invaluable skill set that enables structured, logical, and convincing writing. It promotes abilities essential in academics, the workplace, public policy, scientific research, and more. That is why learning PEEL writing is tremendously helpful for any career path. Watch this YouTube video to know more!

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What Are The Several Ways To Conclude A PEEL Paragraph?

We also need to know several ways to conclude a PEEL paragraph thesis statement and the opening paragraph. Let’s explore the variety of conclusions as follows:

1. Link back to the main point/topic sentence: End by reinforcing the critical point or argument you made in the opening sentence. For example: “In conclusion, single-use plastics are devastatingly impacting oceans and wildlife.” This reminds the reader of the main topic.

2. Call to action: Close with a statement urging change or action to address the issue discussed. For example: “Governments need to implement policies now to curb plastic waste drastically.” This drives home the importance of tackling the problem.

  3. Prediction: Predict to highlight future implications if the current situation continues or changes are not made. For example: “Without intervention to reduce overuse of social media, an entire generation faces chronic mental health issues like anxiety, isolation and depression.”

4. Personal opinion/commentary: Add a sentence or two sharing your views or thoughts on the central topic/issue. This adds a more conversational, authentic tone. For example, “‌Social media platforms are responsible for prioritizing user safety and wellbeing over profits and growth.”

  5. Question: End with an open-ended question to spark further thought and discussion. For example, “How can we ensure social media has positive impacts while limiting harm to vulnerable young users?”

Example Of A PEEL Paragraph:

We have provided a PEEL paragraph worksheet sample in the following section to give students a practical idea about PEEL paragraphs. However, let us dig deeper to understand  the concept with a trending example.

Let’s say our topic is “Artificial intelligence’s potential benefits.” Focus on how the content is distributed among these four sections in the paragraph in PEEL structure.

Topic: Artificial intelligence’s potential benefits

• Link: Overall, AI holds immense promise for progress across various fields, but ethical considerations and responsible development are crucial to ensure its positive impact.

The Bottom Line

Paragraphs should be clear, focused, and manageable. If your paragraph is getting too long, learn how to split it into multiple paragraphs and create a new paragraph for each new idea you bring to your essay. Finally, it’s crucial to always proofread your paragraphs. Read it once, twice, and again. Check paragraph spelling, grammar, language, and sentence flow. The most efficient way for this is to have yourself read aloud. If it sounds clunky or unclear, consider rewriting it. That’s it! This helps explain the PEEL method and how it will help you write your following essay. Remember all four points of PEEL writing skills and follow these correctly in every paragraph you write.

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Frequently Asked Questions

What is a peel paragraph.

A PEEL structure paragraph refers to the standard format for writing essays. It helps in focusing on a single and clear argument in a paragraph.

Students can easily construct paragraphs for school homework following this strategy. It allows them to create an essay that is easily accessible for the readers to understand.

How Do You Start A Good PEEL Paragraph?

Start with the main idea you will emphasize in the following section. PEEL paragraph sentence starters focus on engaging the viewers with a persuasive approach. Hence, start with a common question related to your topic or a statement in the opening sentence you will explain in the following section.

How Many Sentences Are In A PEEL Paragraph?

The PEEL structure has four main components. But there are no limitations as you can only use single sentences to describe each Point. If your main Point becomes too long, you can break it into two sentences for better flow and readability. Hence, PEEL paragraphs usually contain 4 to 10 sentences.

How Do You Structure A PEEL Paragraph?

It would help to structure your PEEL writing based on the four sections. Start the paragraph with the main idea you will share in the following section. Then, present Evidence you have to establish your ideas. After that, explain your ideas in simple words and finish the paragraph with a closing statement. Also, select a link to the following paragraphs in the concluding section.

What Sentences Start A PEEL Paragraph?

In the PEEL paragraph, the starting sentence should start with the Point or Topic sentence. It should state the main Point students are trying to establish in their paragraph.

What Is The First Sentence In The Paragraph?

Ideally, the topic sentence is the first sentence of the paragraph. This sentence gives an overview of the entire Point of discussion written or talked about by the writer in the coming section.

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• How to write an expository essay

How to Write an Expository Essay | Structure, Tips & Examples

Published on July 14, 2020 by Jack Caulfield . Revised on July 23, 2023.

“Expository” means “intended to explain or describe something.” An expository essay provides a clear, focused explanation of a particular topic, process, or set of ideas. It doesn’t set out to prove a point, just to give a balanced view of its subject matter.

Expository essays are usually short assignments intended to test your composition skills or your understanding of a subject. They tend to involve less research and original arguments than argumentative essays .

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Table of contents

When should you write an expository essay, how to approach an expository essay, introducing your essay, writing the body paragraphs, concluding your essay, other interesting articles, frequently asked questions about expository essays.

In school and university, you might have to write expository essays as in-class exercises, exam questions, or coursework assignments.

Sometimes it won’t be directly stated that the assignment is an expository essay, but there are certain keywords that imply expository writing is required. Consider the prompts below.

The word “explain” here is the clue: An essay responding to this prompt should provide an explanation of this historical process—not necessarily an original argument about it.

Sometimes you’ll be asked to define a particular term or concept. This means more than just copying down the dictionary definition; you’ll be expected to explore different ideas surrounding the term, as this prompt emphasizes.

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An expository essay should take an objective approach: It isn’t about your personal opinions or experiences. Instead, your goal is to provide an informative and balanced explanation of your topic. Avoid using the first or second person (“I” or “you”).

The structure of your expository essay will vary according to the scope of your assignment and the demands of your topic. It’s worthwhile to plan out your structure before you start, using an essay outline .

A common structure for a short expository essay consists of five paragraphs: An introduction, three body paragraphs, and a conclusion.

Like all essays, an expository essay begins with an introduction . This serves to hook the reader’s interest, briefly introduce your topic, and provide a thesis statement summarizing what you’re going to say about it.

Hover over different parts of the example below to see how a typical introduction works.

In many ways, the invention of the printing press marked the end of the Middle Ages. The medieval period in Europe is often remembered as a time of intellectual and political stagnation. Prior to the Renaissance, the average person had very limited access to books and was unlikely to be literate. The invention of the printing press in the 15th century allowed for much less restricted circulation of information in Europe, paving the way for the Reformation.

The body of your essay is where you cover your topic in depth. It often consists of three paragraphs, but may be more for a longer essay. This is where you present the details of the process, idea or topic you’re explaining.

It’s important to make sure each paragraph covers its own clearly defined topic, introduced with a topic sentence . Different topics (all related to the overall subject matter of the essay) should be presented in a logical order, with clear transitions between paragraphs.

Hover over different parts of the example paragraph below to see how a body paragraph is constructed.

The invention of the printing press in 1440 changed this situation dramatically. Johannes Gutenberg, who had worked as a goldsmith, used his knowledge of metals in the design of the press. He made his type from an alloy of lead, tin, and antimony, whose durability allowed for the reliable production of high-quality books. This new technology allowed texts to be reproduced and disseminated on a much larger scale than was previously possible. The Gutenberg Bible appeared in the 1450s, and a large number of printing presses sprang up across the continent in the following decades. Gutenberg’s invention rapidly transformed cultural production in Europe; among other things, it would lead to the Protestant Reformation.

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The conclusion of an expository essay serves to summarize the topic under discussion. It should not present any new information or evidence, but should instead focus on reinforcing the points made so far. Essentially, your conclusion is there to round off the essay in an engaging way.

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The invention of the printing press was important not only in terms of its immediate cultural and economic effects, but also in terms of its major impact on politics and religion across Europe. In the century following the invention of the printing press, the relatively stationary intellectual atmosphere of the Middle Ages gave way to the social upheavals of the Reformation and the Renaissance. A single technological innovation had contributed to the total reshaping of the continent.

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An expository essay is a broad form that varies in length according to the scope of the assignment.

Expository essays are often assigned as a writing exercise or as part of an exam, in which case a five-paragraph essay of around 800 words may be appropriate.

You’ll usually be given guidelines regarding length; if you’re not sure, ask.

An expository essay is a common assignment in high-school and university composition classes. It might be assigned as coursework, in class, or as part of an exam.

Sometimes you might not be told explicitly to write an expository essay. Look out for prompts containing keywords like “explain” and “define.” An expository essay is usually the right response to these prompts.

An argumentative essay tends to be a longer essay involving independent research, and aims to make an original argument about a topic. Its thesis statement makes a contentious claim that must be supported in an objective, evidence-based way.

An expository essay also aims to be objective, but it doesn’t have to make an original argument. Rather, it aims to explain something (e.g., a process or idea) in a clear, concise way. Expository essays are often shorter assignments and rely less on research.

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An essay on proof, conviction, and explanation: multiple representation systems in combinatorics

• Published: 04 February 2020
• Volume 103 , pages 173–189, ( 2020 )

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• Elise Lockwood   ORCID: orcid.org/0000-0002-4118-338X 1 ,
• John S. Caughman 2 &
• Keith Weber 3  

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There is a longstanding conversation in the mathematics education literature about proofs that explain versus proofs that only convince. In this essay, we offer a characterization of explanatory proofs with three goals in mind. We first propose a theory of explanatory proofs for mathematics education in terms of representation systems. Then, we illustrate these ideas in terms of combinatorial proofs, focusing on binomial identities. Finally, we leverage our theory to explain audience-dependent and audience-invariant aspects of explanatory proof. Throughout, we use the context of combinatorics to emphasize points and to offer examples of proofs that can be explanatory or only convincing, depending on how one understands the claim being made.

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Introduction: Conceptualizing Argumentation, Justification, and Proof in Mathematics Education

Reflections on Proof as Explanation

On the meanings of argumentation, justification, and proof: general insights from analyses of elementary classroom episodes.

Providing such a definition was not necessarily their intent.

Balacheff ( 2009 ) also defined explanation as a psychological construct, proof as a social construct, and both characterized in terms of representation systems. However, at least in terms of student-generated proofs, he viewed a proof as a socially accepted explanation (i.e., all proofs are explanations). Our characterization says a student-generated proof might not be explanatory if it was generated with non-natural inferences or in an RS that a student did not personally value.

The theorem extends to other, non-integer values, but we focus on this version.

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Lockwood, E., Caughman, J.S. & Weber, K. An essay on proof, conviction, and explanation: multiple representation systems in combinatorics. Educ Stud Math 103 , 173–189 (2020). https://doi.org/10.1007/s10649-020-09933-8

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DOI : https://doi.org/10.1007/s10649-020-09933-8

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