math writing assignment

Elementary Assessments

51 Fun Math Writing Prompts That Spark Critical Thinking

Reinforce all types of mathematical concepts using these fun math writing prompts for students.

Not only do these math writing prompts reduce writer’s block, they promote critical thinking, encourage application of skills, and spark deep reflection.

That’s why they make a great addition to your collection of math and writing activities.

So pencil into your lesson plans this week a handful of these thought-provoking math writing prompts that work well with all grades.

Math Writing Prompts

Following you will find a variety of math writing prompts that can be used for various writing purposes.

• Create a math word problem that can be solved by someone in your grade level.
• Draft three to five S.M.A.R.T goals for math. What actions will you take in order to reach these goals?
• Explain step-by-step how to multiply two-digit numbers.
• Step-by-step, share how to make a favorite recipe.
• Explain how to solve a math word problem.
• Imagine that you’re a farmer in charge of feeding a group of 100 people. Explain in detail how many crops you’ll need to grow. Estimate how many rows of food you’ll need.
• Compare and contrast division and multiplication.
• Today in math I learned…
• Here’s how today’s learning connects with something I already knew…
• Write about your best experience in math this school year.
• As you start your math test, you realize that you studied the wrong material. You are not knowledgeable about most of the items on the test. Describe how you would handle this situation.
• Share a time when you used math last summer.

• Explain how to win a Math Bowl contest. 
• Provide at least 10 real-life examples of shapes and solids in your kitchen. Describe how each object is used.
• Write about your worst math experience ever.
• Brainstorm a math problem that you recently solved. Explain in detail how you solved it.
• The three most important ideas that I learned from the lesson are…
• Describe all the ways we use fractions in our real life.
• Create a story or piece of writing about math. Your piece can be a comedy, mystery, fantasy, tall tale, poetry, comic, persuasive, informative, etc.
• Explain how to make a good grade on a math test.
• Write a story using these words: math, measure, height, ruler
• Write three of your math strengths and three weaknesses.
• Explain some ways that math can be made more interesting to kids your age.
• Write a letter to the cafeteria staff convincing them to survey the student body about adding healthier meal options. Explain the importance of doing so.
• Create a math riddle or two that kids your age would enjoy solving.
• Describe at least three ways that math is used in everyday life.
• Explain to a younger child how math is all around us.
• Think about these items: swimming pool, cell phone, car, pizza, roller coaster. Describe how math is connected to each of these things.
• Describe three situations in life where multiplication makes counting easier.
• Make a math quiz that consists of 20 items. Choose any math topic you wish, and include an answer key.
• Write about the perfect math lesson or activity. 
• Explain two different ways to multiply two or three-digit numbers.
• Explain in detail to your best friend how he or she can use mathematical strategies to improve the chances of winning a game.
• Compare and contrast mathematics and science.
• Discuss the importance of having strong math skills when it comes to saving and investing money.
• Write about a time that you overcame an obstacle that you faced in math.
• In detail, explain how an architect uses mathematical principles in his/her profession.
• Write about how non-math focused professions still need to use math. Use a singer, writer, or truck driver as an example.
• How does responding to math writing prompts deepen your knowledge of concepts?
• You notice that you’ve been charged extra when you receive the restaurant bill. Describe how you will solve this problem.
• Explain some ways in which math is used in sporting events.
• Find a recipe in a book or online. Now double or triple the original recipe. Write out the ingredients and the recipe with the adjusted amounts.
• Share everything you know about ( insert math skill, topic, or concept ).
• Pretend that you are a famous mathematician invited to a school to speak to students about the importance of studying math. Write a speech about the importance of learning math.
• Pretend that you are designing the cover of a math textbook. Describe the cover using lots of details.
• Sketch a drawing made up entirely of geometric shapes. In one to two paragraphs, describe it.
• Create a social media hashtag for mathematics. What ideas, events, adventures, activities will your hashtag be known for?
• Write 10 words related to math. Then compose a poem that includes these words.
• Brainstorm ways to mix art and mathematics. Now explain in detail how to make your math craft.
• Pretend you are the number zero. Write a letter to the other digits telling them how important you are. Explain the impact on the number system without zero.
• G.E.O.M.E.T.R.Y – Create an acrostic poem using the word geometry. 
• Choose five math words, and then write a haiku about them.
• List all the words (2-letter, 3-letter, 4-letter, 5-letter, 6-letter, 7-letter, 8-letter, 9-letter, and 10-letter) that you can make using the letters from the term mathematics.  
• Compose a song that will help kids learn how to skip count.

Final Thoughts: Math Writing Prompts

Now you have a treasure-trove of writing prompts about math to use for various writing activities.

Download lined paper to use with these math writing prompts .

Also see … math sentence stems

Writing in Math Class? Math Writing Prompts and Assignments

• Keren Perles
• Categories : Lesson plans for middle school math
• Tags : Teaching middle school grades 6 8

All Grades – Math Concepts

Students of all grades can benefit from writing out math concepts rather than simply solving problems. Here are some math prompts and activities that can help your students grasp concepts – and can show you where they need extra explanation as well. Some of the prompts are more general, and others relate to specific skills, but they can all be applied to various areas of math.

• What are the differences between [Math Concept 1] and [Math Concept 2]? What are the similarities between them?
• How could you use this math concept in your everyday life?
• Explain how you would solve the following problem: 2x – 7 = 15
• How can you tell if a number is divisible by 4? Why does this method work?
• What are two methods you can use to convert a fraction to a decimal? Which method do you prefer, and why?
• Why is it important to simplify fractions?
• Write an instruction manual to show someone how to do long division. Number each step.
• Write a quiz that would be a good test of whether a student understands what we’ve learned today.
• Describe the graph of y = x^2 in words so that someone in a different room could understand exactly what it looks like.

Lower Grades – Math Fiction

In the lower grades, introducing writing into the math curriculum serves a dual purpose – it helps students improve their writing skills, and it helps students who enjoy writing to carry that enjoyment over to math. The best way to incorporate writing and math class at the lower grades is by introducing math fiction.

Students write math fiction by taking a math skill they have learned and writing a fiction story that encompasses the skill. If you are teaching addition, for example, a student who enjoys fantasy stories might write the following:

“Two shiny fairies sat on a flower. One was pink, and the other was green. Three more fairies came to sit with them on the flower. Then there were five fairies!”

This may seem simplistic, but it can apply to more difficult skills as well, such as calculating money, fractions, simple algebra, and even probability and statistics. Essentially, students are creating their own word problems. Even though some students may struggle with word problems, creating a word problem can help them understand just how the problem works.

Upper Grades – Metacognition

Although students in the upper grades can benefit from writing math fiction under certain circumstances, they can also use writing to understand the way that they think. Metacognition, or thinking about thinking, is an important concept in education. When children are forced to think about their own thought processes, they clarify concepts for themselves. Reading their writing can also help you understand where your students are coming from, as well as how to help them reach their goals.

Here are several writing activities and prompts you can use in the math classroom to encourage metacognition:

• Write a math biography – or a history of your feelings about math. Include your first memories about math, any math classes that affected how you feel about math, and your current feelings about math. What were your best and worst experiences with math?
• Write about the subject you are learning in math class. What do you think about it? Do you find it easy or hard? Do you think it will be useful in the real world?
• What is the most interesting math skill you have ever learned? Which skill do you think you’ll use the most in life? Why?
• When you are struggling to do a math problem, how do you feel? What process do you use until you are finally successful?
• When you get a math problem wrong (and everyone does sometimes), what is your reaction? How would you like to react?
• Math is fun: agree or disagree? Discuss your answer.
• What goals do you have that relate to math? How do you hope to reach those goals?
• How do you study for a math test? Why do you think that your study methods work? How could you improve them?

A Comprehensive Guide to Math Writing Strategies

Math writing? Is that even possible? Perhaps, this topic currently raises some eyebrows. It’s even possible that you are hearing this term for the first time. So, to get this question out of the way, math writing is real. But what does it mean? Personally, math writing isn’t about making math; it is about making mathematical reasoning. Some mathematicians are said to be “mathematicians of the hands” because of their ability to apply mathematical reasoning to different objects.

Mathematical reasoning is an area that requires not only mathematical knowledge but also the application of that knowledge. Without mathematical reasoning then maths, itself, is worthless. But how do we note that reasoning that encapsulates our intelligence and capabilities? This is where math writing comes into play. Math writing helps us to record ideas, thoughts, and observations to gain insights and develop conjectures.

Why Isn’t Math Writing Common In Schools?

Teaching math writing in schools is difficult for a variety of reasons, including the fact that students have varied ways of processing and articulating information. Some of them go to great lengths to find the best website to get essay written in a bid to aid study. Even at that, they receive minimal guidance from their educators on what type of mathematical writing to incorporate.

Part of the issue originates from tutors’ lack of knowledge about the best methods for teaching math writing to their students. As a result, they completely disregard it, confining these students to standard instructional techniques that focus on computation and procedural competence. For example, there is a difference between knowing that 2 plus 2 is 4, and understanding why it is 4.

Most students are confined to knowing, but not understanding - these are two different concepts. Hence, they work out mathematical calculations effortlessly but can’t understand or communicate mathematically. Unfortunately, some tutors are helpless in bridging this gap as they were once students who weren’t privileged to learn math writing. This situation makes it difficult for them to teach this topic to their students. Besides, you cannot give what you don’t have.

Math writing obstacles come with feasible practical solutions that benefit both teachers and students.

Strategies that Promote Math Writing

Students who incorporate “cramming” into mathematical problems may have a hard time understanding the underlying factors that make maths relevant. Even though they know that 12 divided by 3 is 4, they don’t understand what makes it so. In such situations, learning becomes more of “what I was told,” rather than “what I understood.” However, the following strategies can improve mathematical learning and understanding when applied by tutors.

Modelling Writing Technique

This math writing technique focuses on constructing grammatical structures, sequencing ideas logically, justifying mathematical thoughts, using simple to complex vocabularies, among other strategies. With this process, tutors communicate their mathematical thoughts aloud while putting them into writing. Not only do the students grasp the teacher’s modelled writing style, but they connect with the tutor’s thoughts as well. Learning becomes visual and mental.

How can this technique work effectively? The modelling writing technique, also known as the think-aloud technique, comprises three segments: the writing process and the revision process.

Writing Process

This writing process helps students to understand how to put their mathematical thoughts on paper. The ideal timeframe for this phase should be between 5 to 10 minutes, and here is how it works:

• Find a learning need in the students concerning a maths topic and create a think-aloud lesson

• Explain to the students the purpose of this technique, targeted audience, benefits, and resources to be used

• Record your writing using an interactive board or paper chart, communicating your thoughts aloud as you proceed

• Be concise in writing these thoughts to prevent boredom and distraction

• Once done, communicate conclusive thoughts on the technique

• Ask the students to share their experience, questions, and lessons learnt during the process

Revision Process

Tutors and students should revise previous documentation to improve learning. But in what way? Revision inculcates the habit of rereading previously written documents. So, here is how it works:

• Dedicate time with the students to revise previous modelling-based documentations

• Explain to them the benefits of revision, including ways to improve on previous works

• Display the document and encourage group reading

• Put revisions into writing to aid learning

Mathematical Writing Conference

This math writing technique involves one-on-one learning communication between a tutor and a student. This time around, the students share their thoughts and ideas on their mathematical documentation with their tutors. With the information gathered, the teacher can provide the students with more insights on how to make their works better. This technique comprises four working parts:

• Researching the students’ mathematical thought and writing process

• Identifying the students’ actual instructional and learning needs

• Delivering a teaching point that addresses mathematical learning and writing needs

• Linking current learning process to the students’ future writing skills

The mathematical writing conference technique pushes the student to do better as there is a feedback mechanism on the teacher’s part. Students use highly focused teaching guidelines from their tutors to improve their math writing skills. Ideally, this technique should not last beyond five minutes. Conferences should be conversational, but brief as well.

Feedback should be concise, brief, and within the students’ capabilities. It should also come after a genuine compliment, celebrating their works.

Minilessons

Minilessons can focus on a smaller group or the entire class. Such learning sessions are concise and intensely focused, as students are assigned independent writing strategies to improve their math writing skills. These lessons span a maximum of 10 minutes. During this period, the tutor delivers a teaching point, after which the student put the lesson into practice, mostly in the class. By doing so, the teacher can engage them actively.

In summary, the teacher makes a connection, deliver a teaching point, engage the students, and link the lesson taught to future math writing works.

In Conclusion

Math writing is designed to help students test their abilities to observe and write down math problems in English. Students who need help with complex math problems can undertake math writing . By using this technique, tutors can also provide individual instructional learning that enhances the students’ level of understanding. As such, schools should promote this technique more.

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Writing in Math

A variety of writing assignments, strategies for incorporating writing, taking on the challenge.

• Write about what you did in class.
• What did you learn?
• What are you unsure about, confused by, or wondering about?
• Describe what was easy and what was difficult for you.

Then I asked them to compare two additional batches of paint—a new Batch A, with two parts red and one part yellow, and Batch B, with the same three parts red and two parts yellow—and write about their solutions. The class was divided in their opinions: Some thought that the two batches would be the same color, and some argued that Batch B would be darker. Becky, for example, wrote about why the colors would be the same: There is always one more red than yellow, so B should have more parts, but A and B should be the same color.

David, however, reasoned correctly that A would be darker than B because there is twice as much red as yellow. In B there should be four parts red to make A and B the same color.

In the middle of a unit on fractions, I asked 5th graders to write on the topic “What I Know About Fractions So Far.” (This title conveyed to them that I didn't expect them to know everything yet.) Nelson's response tipped me off to his misconception about the smallest possible fraction. He wrote, I know about halves and fourths. I know about eighths, too. And I know that sixteenths are the smallest fractions there are.

• Establish the purpose for writing in math class. Make sure students understand the two basic reasons that writing is an important part of math: to support their learning and to help you assess their progress.
• Establish yourself as the audience. Let students know that their writing will help you teach them better by providing valuable insights into their understandings, misconceptions, and confusions.
• Ask students to include details and to explain their thinking as thoroughly as possible. Encourage them to use words, numbers, and, if they like, pictures to provide as much information as possible.
• Have students discuss their ideas before writing. Most students find talking easier than writing, and opportunities to talk about their thinking can help students formulate ideas that they will then try to explain in writing. Class discussions are useful, but having students talk in small groups enables more students to express their ideas. After a discussion, remind students that they can write about any idea they heard, as long as it makes sense to them and they can explain it.
• Post useful mathematics vocabulary. Maintain a class chart showing pertinent mathematics vocabulary that comes up in class discussions. Before students begin work on an assignment, ask if there are other terms they might use that they'd like to see on the chart. Keep this list posted and add to it during the year.
• Write a prompt on the board to get students started on a writing assignment. Sometimes a general prompt is appropriate: I think that the answer is ____________. I think that because ____________. Sometimes you'll want to use a prompt that relates more specifically to the assignment. For example, after asking 3rd graders how many chopsticks are needed for the 28 people in the room, I wrote on the board: We need ____ chopsticks. I figured it out by ____________.
• Give individual assistance as needed. No matter how thoroughly you prepare students for a writing assignment, some will need additional assistance to get started. Talk with these students first to ascertain that they understand the assignment. Then encourage them to verbalize their thinking by asking them such questions as, “What do you think? What's one idea that you have? What do you remember about what others said?” After students offer an idea, ask them to repeat it aloud. Then suggest that they repeat it silently to themselves. Finally, tell them to write those exact words on their paper. This process often helps jumpstart students' writing. If it doesn't, try refocusing the assignment and asking students to write about what they find confusing.
• Have students share their writing in pairs or small groups. Before handing in an assignment, students may benefit from reading their papers to another student or to a small group for feedback. This exercise not only serves the writer but also enables students to hear other points of view.
• Use students' writing in subsequent instruction. Student papers can provide useful springboards for extending lessons, and using them in this way reinforces the idea that you value students' writing.
• Use student papers to create class inventories. Reading a set of papers from an assignment can provide a useful overview of how the class responded to particular lessons. Was the experience accessible to all? Did it interest or challenge the more capable students? What additional instruction do students need?
• Keep each student's work in an individual folder. After reviewing students' papers, file them in folders to create a chronological collection of work for each student. Reading through individual folders of work done over time provides a useful record of the student's progress. The folders can also be a great tool for parent conferences.
• Organize and consolidate their mathematical thinking through communication.
• Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
• Analyze and evaluate the mathematical thinking and strategies of others.
• Use the language of mathematics to express mathematical ideas precisely. (p. 60)

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author. Available: http://standards.nctm.org

Zinsser, W. (1988). Writing to learn. New York: Harper and Rowe.

Marilyn Burns is the founder of Math Solutions Professional Development in Sausalito, California. Her latest book is the fourth edition of About Teaching Mathematics: A K-8 Resource (Math Solutions, 2015).

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Browse Course Material

Course info, instructors.

• Prof. Haynes Miller
• Dr. Nat Stapleton
• Saul Glasman

Departments

• Mathematics

As Taught In

Learning resource types, project laboratory in mathematics.

Next: Revision and Feedback »

In this section, Prof. Haynes Miller and Susan Ruff describe the criteria for good mathematical writing and the components of the writing workshop .

A central goal of the course is to teach students how to write effective, journal-style mathematics papers. Papers are a key way in which mathematicians share research findings and learn about others’ work. For each research project, each student group writes and revises a paper in the style of a professional mathematics journal paper. These research projects are perfect for helping students to learn to write as mathematicians because the students write about the new mathematics that they discover. They own it, they are committed to it, and they put a lot of effort into writing well.

Criteria for Good Writing

In the course, we help students learn to write papers that communicate clearly, follow the conventions of mathematics papers, and are mathematically engaging.

Communicating clearly is challenging for students because doing so requires writing precisely and correctly as well as anticipating readers’ needs. Although students have read textbooks and watched lectures that are worded precisely, they are often unaware of the care with which each word or piece of notation was chosen. So when students must choose the words and notation themselves, the task can be surprisingly challenging. Writing precisely is even more challenging when students write about insights they’re still developing. Even students who do a good job of writing precisely may have a different difficulty: providing sufficient groundwork for readers. When students are deeply focused on the details of their research, it can be hard for them to imagine what the reading experience may be like for someone new to that research. We can help students to communicate clearly by pointing out places within the draft at which readers may be confused by imprecise wording or by missing context.

For most students, the conventions of mathematics papers are unfamiliar because they have not read—much less written—mathematics journal papers before. The students’ first drafts often build upon their knowledge of more familiar genres: humanities papers and mathematics textbooks and lecture notes. So the text is often more verbose or explanatory than a typical paper in a mathematics journal. To help students learn the conventions of journal papers, including appropriate concision, we provide samples and individualized feedback.

Finally, a common student preconception is that mathematical writing is dry and formal, so we encourage students to write in a way that is mathematically engaging. In Spring 2013, for example, one student had to be persuaded that he did not have to use the passive voice. In reality, effective mathematics writing should be efficient and correct, but it should also provide motivation, communicate intuition, and stimulate interest.

To summarize, instruction and feedback in the course address many different aspects of successful writing:

• Precision and correctness: e.g., mathematical terminology and notation should be used correctly.
• Audience awareness: e.g., ideas should be introduced with appropriate preparation and motivation.
• Genre conventions: e.g., in most mathematics papers, the paper’s conclusion is stated in the introduction rather than in a final section titled “Conclusion.”
• Style: e.g., writing should stimulate interest.
• Other aspects of effective writing, as needed.

To help students learn to write effective mathematics papers, we provide various resources, a writing workshop, and individualized feedback on drafts.

Writing Resources

Various resources are provided to help students learn effective mathematical writing.

The following prize-winning journal article was annotated to point out various conventions and strategies of mathematical writing. (Courtesy of Mathematical Association of America. Courtesy of a Creative Commons BY-NC-SA license.)

An Annotated Journal Article (PDF)

This document introduces the structure of a paper and provides a miscellany of common mistakes to avoid.

Notes on Writing Mathematics (PDF)

LaTeX Resources

The following PDF, TeX, and Beamer samples guide students to present their work using LaTeX, a high-quality typesetting system designed for the production of technical and scientific documentation. The content in the PDF and TeX documents highlights the structure of a generic student paper.

Sample PDF Document created by pdfLaTeX (PDF)

Sample TeX Document (TEX)

Beamer template (TEX)

The following resources are provided to help students learn and use LaTeX.

LaTeX-Project. “ Obtaining LaTeX .” August 28, 2009.

Downes, Michael. “Short Math Guide for LaTeX.” (PDF) American Mathematical Society . Version 1.09. March 22, 2002.

Oetiker, Tobias, Hubert Partl, et al. “The Not So Short Introduction to LaTeX 2ε.” (PDF) Version 5.01. April 06, 2011.

Reckdahl, Keith. “Using Imported Graphics in LaTeX and pdfLaTeX.” (PDF) Version 3.0.1. January 12, 2006.

Writing Workshop

Each semester there is a writing workshop, led by the lead instructor, which features examples to stimulate discussion about how to write well. In Spring 2013, Haynes ran this workshop during the third class session and used the following slide deck, which was developed by Prof. Paul Seidel and modified with the help of Prof. Tom Mrowka and Prof. Richard Stanley.

The 18.821 Project Report (PDF)

This workshop was held before students had begun to think about the writing component of the course, and it seemed as if the students had to be reminded of the lessons of the workshop when they actually wrote their papers. In future semesters, we plan to offer the writing workshop closer to the time that students are drafting their first paper. We may also focus the examples used in the workshop on the few most important points rather than a broad coverage.

• Download video

This video features the writing workshop from Spring 2013 and includes instruction from Haynes as well as excerpts of the class discussion.

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Top-Rated Tips From Experts For Writing A Maths Assignment

Mathematics Mastery: Trust Our Experts for Impeccable Assignment Writing, Ensuring Precision and Academic Excellence.

Writing a mathematics assignment is rewarding yet challenging, requiring precision, clarity, and a deep understanding of mathematical concepts. Navigating this academic challenge successfully can be exhaustive for students. Under this circumstance, consider the insights and tips our expert professionals share. These tips enhance your approach to creating high-quality and accurate math assignments.

From effective problem-solving strategies to the importance of clear communication, these expert-recommended guidelines offer a comprehensive framework for achieving excellence in math homework. Whether you're a student looking to improve your assignment skills or an educator guiding others through the process, incorporating these tips can elevate the quality and impact of your math assignments.

Mastering Math Assignments: Strategies for Success

Embracing the world of mathematics can be enjoyable and intellectually stimulating when approached with the right mindset. Here are some valuable tips to enhance your ability to solve math assignments efficiently.

Eliminate Distractions: Dedicate focused time to complete your math assignments, as they often involve multi-step problem-solving. Minimize distractions by putting away your phone and notifying others of your study plans. Seeking assistance from math assignment help services can provide expert guidance and support you require for math assignments.

Utilize Mathematical Tricks: Learn and apply quick mathematical tricks from your professors for calculations. You can also opt for assistance from a math assignment helper to ace different techniques. Familiarity with these tricks can significantly expedite the problem-solving of math writing assignment.

Thoroughly Read and Follow Instructions: Carefully read the instructions provided by your instructor before diving into the assignment. Use a notepad to jot down essential information and create an outline for a better understanding. Clearly articulate your problem-solving process, ensuring you address all aspects mentioned in the instructions.

Start with Challenging Problems: Prioritize your math problems based on difficulty and importance. Tackle the most challenging problems first and gradually work your way down. This approach ensures efficient utilization of your energy and time.

Take Regular, Short Breaks: Maintain concentration by taking short breaks to alleviate stress and prevent burnout. Breaks of 15 to 20 minutes allow you to recharge without losing focus on your assignments.

Study with a Friend: Collaborating with a study companion can provide motivation and a fresh perspective. Explaining concepts to each other enhances understanding and promotes effective learning.

Seek Expert Assistance: Don't hesitate to ask for help from experts at any stage of your assignment. Technology facilitates instant access to professionals who can assist with complex problems, ensuring academic success.

Practice Regularly: Building a strong foundation in mathematics requires consistent practice. Regular practice eases complex computations and explores various methods. It also helps you to analyze shortcuts for rapid problem-solving.

Common Worries About Math Assignments:

Understanding why students may struggle with math assignments is essential. Common reasons include:

Problems in Math Concept Understanding

Difficulty in understanding math arises from a combination of factors.

Some learners find the abstract nature of mathematical concepts challenging. Others face problems due to confusion from previously perceived knowledge. Most students acknowledged they often find it hard to visualize and relate math problems to real-world scenarios. Foundational knowledge gaps hinder comprehension. Effective math understanding requires a supportive learning environment, including several techniques that we have explained in the visual. These steps emphasize building a solid foundation for understanding and solving mathematical problems.

Challenges Due to Teaching

Students face diverse study challenges due to teaching methodologies. One of them is the lack of effective communication between educators and students. If teachers fail to articulate concepts clearly, students may struggle to grasp subject materials. Inadequate teacher-student interaction can hinder the resolution of doubts or concept clarification. Outdated teaching methods fail to engage students, resulting in a lack of interest and motivation to study. Effective teaching involves adapting to the diverse needs of students. It fosters a positive and interactive study environment for a better learning experience.

Inconsistency in Practice:

Inconsistency in practice poses a significant challenge in various contexts, ranging from skill development to routine tasks. Irregular practice can impede progress. Inconsistency in practicing new skills or habits can hinder the cultivation of expertise or the formation of positive routines. The key to overcoming this challenge is establishing and adhering to a consistent, structured practice regimen. By doing so, individuals can enhance their learning, skill acquisition, and personal growth, fostering a more sustainable and effective path toward mastery and success.

Quick Tips for Improved Math Skills

Enhance your arithmetic abilities and speed up problem-solving with these additional tips:

Master the Basics:

Proficiency in fundamental operations is crucial for tackling more advanced topics. It ensures a solid foundation by mastering the core principles of arithmetic.

Understand Concepts, Don't Memorize:

Focus on understanding the underlying concepts rather than memorizing procedures. It enables flexible problem-solving and a deeper grasp of mathematical principles.

Use Online Resources:

Explore online platforms offering interactive math exercises and tutorials. Math assignment help websites provide valuable resources for offering academic assistance.

Break Down Complex Problems:

Break down complex problems into smaller, manageable steps. This approach makes problem-solving more approachable and helps prevent feeling overwhelmed.

Teach Others:

Teaching a concept to someone else is an effective way to solidify your understanding. This process forces you to articulate ideas and reinforces your knowledge.

Seek Help When Needed:

Don't hesitate to ask for help when you encounter difficulties. Teachers, classmates, or online communities can provide valuable insights and clarification.

Review and Reflect:

Regularly review previously learned material and reflect on your progress. Identify areas of weakness and focus on reinforcing those concepts.

Utilize Educational Apps and Games:

Explore educational apps and games that make learning math enjoyable. These approaches can add an element of fun to your practice sessions.

In conclusion, assignments are integral to academic growth, and mastering math is a journey that requires dedication and effective time management. Seek assistance when needed, and you'll develop strong math skills with consistent practice.

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Writing to learn: using writing to help students learn math

Editor’s-choice resources, non-math resources and research reviews (editor’s choice), research on writing to learn mathematics, additional resources, using communication to help reduce math anxiety.

Much of this site is primarily about “learning to write” math; this page is about “writing to learn” math. In other words, students may improve their understanding of math by writing about it.

The following resources describe or illustrate how writing about math can help students to learn math. Please feel free to contribute to this page. Particularly helpful would be a literature review, a structured, annotated bibliography, or a comprehensive bibliography (even if not current). Many of the resources below were found by undergraduate researcher Artur Araujo.

• J. Meier and T. Rishel, Writing in the Teaching & Learning of Mathematics , MAA Notes No 48, 1998. This book includes sound advice for designing small and large assignments, a summary of ideas from related fields (writing and cognitive science), and a rationale for using writing to help students learn math.
• Using Writing to Teach Mathematics , Andrew Sterrett, Ed., MAA Notes No. 16 This collection contains 31 articles by educators who use writing to teach math. From the preface: “The writers describe their experiences with Writing Across the Curriculum, with journals and other forms of expressive writing, and with specific courses. They offer specific advice on getting started with writing programs and on routine matters such as grading, correcting grammar, and the importance of rewriting. Several essays describe student reaction to writing in the mathematics classes and how to involve students in reading and grading the work of others.”
• B. Russek, “ Writing to Learn Mathematics ,”  the WAC Journal: A National Journal for Writing Across the Curriculum , Vol 9, August 1998 This article describes examples of writing-to-learn assignments in classes throughout the undergraduate math curriculum. Includes some sample student writing.
• P. Connolly and T. Vilardi, eds., Writing to Learn Mathematics & Science Teachers College Press, 1989. This is a collection of 23 articles, at least half of which are specific to mathematics.
• Countryman, J., Writing to Learn Mathematics: Strategies that Work, K-12 , Heinemann, 1992. For K-12, this book addresses writing to learn, getting started, autobiography, journals, word problems, words in mathematics, formal writing, assessment, etc.
• Herrera, T., “Reading and Writing Mathematics” MSP: MiddleSchoolPortal Accessed Feb 25, 2012. This clickable, annotated bibliography for middle school educators addresses reading, writing, and visual communication. Linked resources include webinars, online chapters, materials for students, lesson plans, and “virtual manipulatives.”
• C. L. Patterson and P. V. Prasad, “ Beyond Grades: Feedback to Stimulate Rethinking and Intellectual Growth ” On Teaching and Learning Mathematics AMS Blogs, American Mathematical Society, August 6, 2018. Patterson and Prasad use feedback and revision instead of grades to increase student learning from writing assignments.
• What is Writing to Learn? The WAC Clearinghouse These pages define writing to learn, provide examples of writing to learn activities and alternatives for evaluating these activities, etc.
• Reynolds, J., at al., “ Writing-to-Learn in Undergraduate Science Education: A Community-Based, Conceptually Driven Approach ,” CBE Life Sciences Education , 2012 Spring; 11 (1) : 17–25. A heuristic review of STEM writing-to-learn research since Rivard’s 1994 review. Contains a framework for future research. The database of articles reviewed is available here: Writing to Learn in STEM database
• Rivard, LP., “A review of writing to learn in science—implications for practice and research,” Journal of Research in Science Teaching , 1994; 31 :969–983.
• Porter, M. K. and Masingila, J. O., “Examining the Effects of Writing on Conceptual and Procedural Knowledge in Calculus,” Educational Studies in Mathematics, Vol 42, pp. 165–177, 2000. This study compares students’ errors in two calculus sections; one section uses writing to learn while the other uses comparable activities that do not involve writing. Both sections use discussion (talking to learn). Results show no statistically significant difference between the two sections, suggesting that non-writing activities + discussion are as effective as writing to learn + discussion.

If you are aware of additional research on writing to learn mathematics, please contact us .

• Schmidt, D, “ Writing in Math Class ,” Chapter 7 of Gere, Anne Ruggles. (2012). Roots in the Sawdust: Writing to Learn Across the Disciplines . WAC Clearinghouse Landmark Publications in Writing Studies. Originally Published in Print, 1985, by National Council of Teachers of English, Urbana, Illinois. This book chapter describes and includes example of how writing is used to open lines of communication between middle school students and their math teacher, to help the students to learn mathematics, and to give the students an opportunity to succeed in math class by writing book reports. The math teacher writes, “For me it is a way to get to know more about those varied and wonderful people who are my students.”
• Burns, M., “ Writing in Math ,” Educational Leadership , v62 n2 p30 Oct 2004 This 4-page article describes strategies for including writing in the elementary classroom. Assignment types include “keeping journals or logs, solving math problems, explaining mathematical ideas, and writing about learning processes.”

The following references and quotes are taken from the literature reviews in “Improving Writing and Speaking Skills using Mathematical Language” by Kimberly Hackett and Theresa Wilson. (Masters thesis, Saint Xavier University & IRI/Skylight Field-Based Master’s Program, 1995)

• Borasi, R. & Rose, B. J. (1989). Journal writing and mathematics instruction. Educational Studies in Mathematics, 20, p. 347-365. “the more students use their journals to write as a place where they can think on paper, not just report already formed ideas, the more they will take advantage of the potential of writing as a tool for learning and growth.”
• Abel, J. P. & Abel, F. J. (1989) Writing in the Mathematics classroom. The Clearing House, 62. p. 155-158. “The journal does not have to be collected but must be read and responded to”
• Artzt, A. F. (1994). Integrating writing and cooperative learning in the mathematics class. Mathematics Teacher, 87. p. 80-85. “Students enjoy discussing mathematics with other students and they benefit from their interaction with other students as well as with the teacher”
• Johnson, M. L. (1983). Writing in mathematics classes: A valuable tool for learning. Mathematics Teacher. 76. 117-119. “If students can write clearly about mathematical ideas, then it is clear that they understand those ideas. Students who write in mathematics must do considerable thinking and organizing of their thoughts to crystallize in their minds what they have studied”
• Keith, S. Z. (1988). Explorative writing and learning mathematics. Mathematics Teacher, 81. 714-719.
• LeGere, A. (1991). Collaboration and writing in the mathematics classroom. Mathematics Teacher, 84, 166-171. “Speaking and writing about mathematics problems can contribute significantly to understanding”
• McIntosh, M. E. (1991). No time for writing in your class? Mathematics Teacher, 82, 423-433. “learning logs should be used on a daily basis. Teachers can develop three different types of logs for students to use: ‘how-to’s’, ‘definitions’, and ‘troubleshooting’ “The benefits of using journals are: enhanced learning, awareness of students learning, and knowledge of what students are thinking.”
• Miller, L. D. (1991) Writing to learn mathematics. Mathematics Teacher, 84, 516-521. “the five types of writing categories…include: direct use of language, linguistic translation, summarizing/interpreting, applied use of language and creative use of language”
• Miller, L. D. & England, D. A. (1989). Writing to learn Algebra. School Science and Mathematics, 89. p. 299-312 “Writing can cause students to analyze, compare facts, and synthesize relevant material…These types of writing can be kept in a mathematics journal or mathematics log.”
• Nahrgang, C. L. & Peterson, B. T. (1986). Using writing to learn mathematics. Mathematics Teacher, 79, p. 461-465. “The journal has basically two functions: 1) it allows students to go at their own rate to understand mathematical concepts in terms of their own experiences, and 2) it also functions as a diagnostic tool, which can reveal confusion or show misunderstandings students have”
• Schmidtt, D. (1985). Writing in Math Class. In A. R. Gere (Eds.) Roots in the Sawdust: Writing to Learn Across the Disciplines. P. 104-116.

Communication assignments are often used as part of a strategy to reduce math anxiety, thus indirectly improving learning of mathematics. See the page of resources and research about using communication to reduce math anxiety .

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Math Courses

Math 2705w — technical writing in mathematics.

This page contains generic information for MATH 2705W – Technical Writing in Mathematics. Please contact your instructor for specifics about your own section of 2705W.

Course Description:

Description: An introduction to the communication of mathematics through formal writing.

Prerequisites: Prerequisites:   ENGL 1007 or 1010 or 1011 or 2011, and MATH 1132Q or 2141Q; completion of or concurrent enrollment in either MATH 2110Q, 2142Q, 2210Q, or 2410Q; open only to Mathematics majors.

Meets: Wednesdays 10:10 – 11:00 online.

Learning objectives:

• Write about mathematics clearly, using correct grammar, in a well-organized manner.
• Discuss mathematical ideas and results in a clear and concise manner that is understood by others.
• Understand your audience: who is the reader of your mathematical piece?
• Explain a proof in a manner that is easily understood by a reader.
• Use clear and appropriate examples to explain ideas and illustrate points.
• Develop documents and presentations that effectively and correctly communicate mathematical ideas.

The primary goal of this course is to communicate and discuss mathematics accurately and effectively. The student will improve in their ability to communicate and write clearly about mathematics. This includes understanding the background of the audience and modifying the narrative to fit the level of mathematical sophistication of the reader. Students will also gain a better understanding of how to structure and write a proof. The students will learn how to use LaTeX in order to typeset papers with mathematical content. LaTeX is the free software that mathematicians use to write mathematics. Using the mathematical constructs in LaTeX can help one to focus on how to arrange content logically and in a mathematically correct fashion.

The Purpose of a “W” Course

In a writing-intensive course (W Course), writing should be integral to the learning goals and subject matter of the course. In the language of the General Education Guidelines at UConn, students should not write simply to be evaluated; they should learn how writing can ground, extend, deepen, and even enable their learning of course material.  In addition to questions concerning strategies for developing ideas, clarity of organization, and effectiveness of expression and discipline specific stylistic norms, the W requirement should lead students to understand the relationship between their own thinking and writing in a way that will help them continue to develop throughout their lives and careers after graduation.

The purpose of a writing course in mathematics is to teach students how to communicate mathematics in a precise, concise, and clear manner. Throughout this course, your instructor will emphasize the best practices in writing mathematics, as it pertains to writing mathematical proofs in particular. The student will learn how to gauge the level of mathematical background of the audience (the reader) and learn how to modify a document to fit the mathematical level of the reader (e.g., how much background is necessary for each type of audience). The student of a W course will write drafts, revise drafts and resubmit. The reason why it is crucial to write a draft is so that the document can be peer-reviewed and critiqued by your instructor, so that a conversation can occur about what background may be necessary, and what level of detail is required when discussing a concept or a mathematical proof. In this course, there will be much emphasis on the structure of mathematical writing (examples, lemmas, theorems, corollaries, remarks, etc), and there will be discussions about the importance and educational power of properly chosen examples and diagrams, graphs, to illustrate a document and to illustrate a mathematical argument that may be otherwise hard to grasp by the reader.

“W” Course Grading and Revision Policy

According to university-wide policies for W courses:

• an overall passing grade on the writing components of the course (the 15+ page assignments described below) is required to pass the course, and
• all writing components of the course (the assignments described below) must go through a feedback and revision process.

Accordingly, your portfolio will not be considered complete unless you have made revisions addressing the points raised in the assessment of your initial submission and you will not pass the course without a complete portfolio that achieves a passing standard.

About the Instructors

Visit our current courses departmental website for information about instructors teaching this class.

About the Book and Other Resources

Although there is no book required for this course, we suggest “ Mathematical Writing ” by Franco Vivaldi (Springer Undergraduate Mathematics Series,   2014th Edition) as a valuable resource for this class.

LaTeX : The students can install LaTeX for free in their own machines, or use online sites such as overleaf.com to typeset their papers. Supporting references:

Books on LaTeX:

• G. Grätzer, “ Math into LaTeX,”
• M. R. C. van Dongen, “ LaTeX and Friends.” 

A few other useful LaTeX resources:

• A (two-page) quick guide to LaTeX , and “ The Not so Short Introduction to LaTeX .”
• YouTube video by David Richeson: “ A Quick Introduction to LaTeX, “
• A sample LaTeX file (based on an example file by Richeson). It also includes a Beamer sample file.
• You can compile LaTeX documents using Overleaf.com , without having to install LaTeX in your machine.
• Or, install your own LaTeX compiler in your machine. For example: TeXstudio .
• Geogebra is very useful to draw diagrams that can be ported to LaTeX as images (in PDF format, for example).

General resources on writing mathematics:

• A YouTube video of Jean-Pierre Serre on “ How to Write Mathematics Badly .”
• Paul Halmos on “ How to Write Mathematics .”
• Bruce Berndt on “ How To Write Mathematical Papers .”
• Keith Conrad’s “ Advice on Mathematical Writing .”
• “ Good Problem: teaching mathematical writing, ” maintained and updated by Martin J. Mohlenkamp (Ohio University).
• Francis Su on “ Good Mathematical Writing .”
• A Twitter thread on “ exemplary writing in mathematics .”

Grading Plan

Five writing assignments ( single-spaced and each at least 2, 2, 3, 4, and 4 pages long, respectively ) will be assigned. Each assignment will be submitted, and then re-submitted once comments and feedback or insights by the instructor have been addressed. Each final draft is worth 20% of your grade. All assignments must be typeset using LaTeX. The writing portfolio will consist of the compilation of all the assignments completed throughout the semester.

Grading rubric (this document will be updated often!)

Lectures Outline

Week by week schedule:

• The importance of communicating mathematics and, in particular, through formal writing. Why LaTeX in communicating mathematics? Installing, and compiling documents using LaTeX. Writing LaTeX papers in an online site such as Overleaf.com
• The basic elements of mathematical writing: lemmas, theorems, proofs, examples, inline and displayed equations, numbering and cross-referencing. How to arrange mathematical ideas using these structures and how to typeset them in LaTeX.
• Basics of mathematical logic. Translating symbols and quantifiers to words in writing.
• Feedback and discussion on the writing assignments from Week 2.
• The different types of proofs (e.g., induction, contradiction), and elements of a proof. The difference between examples, a generic example, evidence, and a proof.
• How to communicate the idea of a proof. From a schematic proof, to writing a proof in text/prose form.
• Feedback and discussion on the writing assignments from Week 5.
• Using formulas and equations as part of a proof, and to illustrate a mathematical paper. The role of examples in a math paper.
• Feedback and discussion on the writing assignments from Week 7.
• Using graphs, diagrams, and images as part of a proof, and to illustrate a mathematical paper.
• Feedback and discussion on the writing assignments from Week 9.
• How to write a paper about a theorem, or about the work of a mathematician. How to focus the writing on the mathematical content.
• How to write a paper about an application of mathematics to other areas. How to include mathematics and figures that explain the strengths of the model.
• Feedback and discussion on the writing assignments from Week 11.

University Policies

• Policy Against Discrimination, Harassment and Related Interpersonal Violence — The University is committed to maintaining an environment free of discrimination or discriminatory harassment directed toward any person or group within its community – students, employees, or visitors.  Academic and professional excellence can flourish only when each member of our community is assured an atmosphere of mutual respect.  All members of the University community are responsible for the maintenance of an academic and work environment in which people are free to learn and work without fear of discrimination or discriminatory harassment.  In addition, inappropriate amorous relationships can undermine the University’s mission when those in positions of authority abuse or appear to abuse their authority.  To that end, and in accordance with federal and state law, the University prohibits discrimination and discriminatory harassment, as well as inappropriate amorous relationships, and such behavior will be met with appropriate disciplinary action, up to and including dismissal from the University.  Additionally, to protect the campus community, all non-confidential University employees (including faculty) are required to report sexual assaults, intimate partner violence, and/or stalking involving a student that they witness or are told about to the Office of Institutional Equity (OIE). Please be aware that while the information you provide will remain private, it will not be confidential and will be shared with University officials who can help. An exception to this reporting exists if students disclose information as a part of coursework submitted to an instructor in connection with a course assignment. Even in the absence of such obligation, all Employees are encouraged to contact OIE if they become aware of information that suggests a safety risk to the University community or any member thereof. The University takes all reports with the utmost seriousness.    More information, including resources and reporting options, is available at  equity.uconn.edu  and  titleix.uconn.edu .
• Student Conduct Code —Students are expected to conduct themselves in accordance with UConn’s  Student Conduct Code .
• Academic Integrity Statement — This course expects all students to act in accordance with the Guidelines for Academic Integrity at the University of Connecticut. Because questions of intellectual property are important to the field of this course, we will discuss academic honesty as a topic and not just a policy.  If you have questions about academic integrity or intellectual property, you should consult with your instructor.  Additionally, consult UConn’s  guidelines for academic integrity .
• Copyright — My lectures, notes, handouts, and displays are protected by state common law and federal copyright law. They are my own original expression and I’ve recorded them prior or during my lecture in order to ensure that I obtain copyright protection. Students are authorized to take notes in my class; however, this authorization extends only to making one set of notes for your own personal use and no other use. I will inform you as to whether you are authorized to record my lectures at the beginning of each semester. If you are so authorized to record my lectures, you may not copy this recording or any other material, provide copies of either to anyone else, or make a commercial use of them without prior permission from me.
• Students with Disabilities— The University of Connecticut is committed to protecting the rights of individuals with disabilities and assuring that the learning environment is accessible.  If you anticipate or experience physical or academic barriers based on disability or pregnancy, please let me know immediately so that we can discuss options. Students who require accommodations should contact the Center for Students with Disabilities, Wilbur Cross Building Room 204, (860) 486-2020, or  http://csd.uconn.edu/ .
• Final Exam Policy — In accordance with UConn policy, students are required to be available for their final exam and/or complete any assessment during the time stated. If you have a conflict with this time you must obtain official permission to schedule a make-up exam with the  Dean of Students . If permission is granted, the Dean of Students will notify the instructor. Please note that vacations, previously purchased tickets or reservations, graduations, social events, misreading the assessment schedule, and oversleeping are not viable reasons for rescheduling a final.

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• Mastering the Art of Crafting an Engaging Introduction for Your Math Assignment

Math assignment, Introduction, Compelling, Strategies, Engaging

Writing an introduction that captures the reader's attention while also setting the stage for the rest of the paper is one of the most difficult aspects of writing a mathematics assignment. Inviting readers into the world of numbers, formulas, and problem-solving, the introduction serves as a gateway. But the question still stands: How can you make sure that your introduction piques the reader's curiosity right away?

We will discuss efficient methods for crafting a strong introduction for your math assignment in this blog post. We will explore the art of involving your readers in mathematical ideas without boring them with technical language. You can write an introduction that compels your audience to read more by incorporating these techniques into your writing process.

A strong introduction achieves a number of goals. The topic is introduced, the assignment's context is given, and the main goals are spelled out in clear terms. Additionally, it establishes the topic's relevance and demonstrates your command of the subject. Additionally, a strong introduction should pique readers' interests and entice them to read on to learn the insights and defenses you will make in the sections that follow.

Let's now examine a variety of efficient writing techniques that will enable you to create an introduction that not only demonstrates your subject knowledge and understanding but also enthralls your audience, causing them to want to learn more about your mathematical investigation.

Establish a Strong Hook First:

Every gripping story has a captivating introductory paragraph that grabs the reader's attention. It is comparable to the first spark that starts a wildfire. I should complete my math homework using the same logic. The introduction must be written so that it piques the reader's interest early on and keeps it throughout the entire assignment.

A strong hook doesn't necessarily need to be a lengthy tale or a challenging analogy. Simple hooks include provocative questions that pique readers' interest, unexpected facts about the subject at hand, and interesting anecdotes that resonate with the mathematical concept you're about to discuss. The idea is to catch the reader's interest, pique their curiosity, and encourage them to read more.

For instance, you might ask a question like, "Have you ever thought about how the ancient Greeks managed to determine the distances and heights without modern measuring tools?" before discussing the Pythagorean theorem. like "Did you know the Pythagorean theorem was discovered over 2000 years ago and is still being used in a variety of fields including construction, computer science, and even space travel?"

Give background and context information

Giving your readers some context is the second method for crafting a strong introduction for your math assignment. Here, your goal is to establish the scene by giving pertinent background information. Readers are better able to appreciate the assignment's content when they are familiar with the subject's underlying principles.

A brief history of the mathematical idea you're discussing, examples of it in real-world situations, or the importance of the issue you're trying to solve can all serve as examples of contextual information. You might, for instance, mention differential equations' crucial role in simulating natural phenomena like population dynamics, heat transfer, or the spread of diseases in a paper on differential equations.

Providing context also entails demonstrating the topic's relevance. Why should the reader be interested in this specific mathematical idea or issue? Why is it significant in the modern world? You should address questions like these in your introduction.

The purpose of the introduction is to direct the reader's attention as well as to draw them in. The subject of your assignment and your goals must be made clear from the outset.

This can be accomplished with a clear and succinct purpose statement or thesis statement. This is one or two sentences that briefly describe the main idea of your assignment. It gives a synopsis of the subject you're going to talk about or the issue you're going to try to solve. It keeps the reader interested and enables them to understand what to anticipate from your assignment.

A strong thesis statement is clear, concise, and debatable. Your thesis statement, for instance, might read, "This assignment aims to explore the properties of prime numbers and their crucial role in contemporary cryptographic systems," if the topic is prime numbers.

Give a brief description of your assignment:

Giving an overview of the assignment is one of the best ways to write a strong introduction for your math assignment. Here, you should lay out the assignment's overall structure and the expectations for each section for your reader.

Giving your readers a summary enables them to follow your thought process and comprehend the foundation of your argument or analysis. This keeps them interested and aids in their understanding of the logic behind your assignment.

An effective summary withholds certain details. Instead, it gives the reader a preview of what's to come, piquing their interest and encouraging them to read more of your assignment. For instance, you might write, "First, we'll look at the historical development of the idea of prime numbers, then we'll analyze them in great detail. Then, we'll look at how they're used in cryptography and talk about why those uses are important.

Stories have great power. They can help people understand and relate to difficult or abstract ideas. Making your mathematics assignment more interesting and memorable can be accomplished by incorporating a narrative into your introduction.

Mathematical storytelling need not always involve creating a make-believe story. It can be as easy as using a real-world situation to illustrate a mathematical concept, outlining the concept's development over time, or demonstrating how it has been applied in various fields.

For example, if you're writing about the Fibonacci sequence, you might begin with a narrative about how Leonardo of Pisa first learned about it through a problem involving the expansion of rabbit populations. You could then move on to talking about the sequence's mathematical properties and how it is frequently used in everything from computer algorithms to art and architecture.

Utilize Language Sensibly:

The way you write your introduction has a big impact on how interesting it is. Even though numbers, symbols, and equations make up the majority of mathematics, how you present these concepts in your writing can significantly affect your reader's interest and comprehension.

Your writing should be engaging, clear, and concise. Avoid using technical terms and jargon that your readers might not understand. Instead, describe mathematical ideas in straightforward, understandable language. Make your writing more dynamic and engaging by using the active voice and verb tenses.

Additionally, change up your sentence structure to add interest to your writing. Short, simple sentences can make your writing seem choppy and disjointed, while long, complex sentences can perplex your reader. You can make your writing more rhythmic and interesting by alternating between short and long sentences.

Review and Improve:

It's critical that the introduction is well-written and error-free because it's frequently the first thing your reader sees. Here's where editing and polishing are useful.

After you've finished writing your introduction, give it a thorough reading. Search for any spelling or grammar mistakes, awkward language use, or vague statements. Make sure your introduction establishes the tone for the remainder of your assignment and smoothly transitions from one idea to the next.

If necessary, make revisions to your introduction's clarity, coherence, and overall quality. This might entail rephrasing sentences, changing the order in which your ideas are presented, or even completely rewriting your introduction.

Your introduction needs to be improved over time. Throughout the writing process, you should repeat this action. You might discover that your introduction needs to be updated as your assignment changes.

Writing an engaging introduction for your math assignment entails using a strong hook to draw the reader in, giving context and background information, stating your assignment's purpose clearly, giving an overview of the assignment, using the storytelling technique, using language effectively, and revising and refining your introduction. Using these techniques, you can write an introduction that piques the interest of your reader and encourages them to read more of your assignment.

Conclusion:

The impact of your work can be greatly increased by developing a strong introduction for your math assignment. By using a variety of techniques, you can grab the attention of your audience right away and set the stage for an assignment that is successful.

This blog post has examined various methods for crafting an engaging introduction for your math assignment. We started out by highlighting how crucial it is to comprehend your audience and adjust your introduction to meet their needs and expectations. The importance of clearly stating your assignment's purpose and objectives was then covered in order to help readers understand its relevance and potential impact.

The effectiveness of storytelling and narrative devices in holding readers' attention was then discussed. You can make your introduction interesting and relatable by relating your mathematical ideas to historical events or current affairs.

As a result, crafting a strong introduction for your math assignment necessitates careful consideration, planning, and focus on the small print. By utilizing the techniques described in this blog post, you can write an introduction that not only demonstrates your knowledge and expertise but also enthralls your audience, creating the foundation for an assignment that is successful and significant.

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The best AI chatbots of 2024

Microsoft copilot, best ai chatbot overall.

• Access to the internet
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• Uses OpenAI's most advanced LLM
• Grounded in Bing

Copilot f eatures:  OpenAI's most advanced LLM, GPT-4 Turbo | Has access to the internet | Works like a search engine with information on current events | Free

In February last year, Microsoft unveiled a new AI-improved Bing, now known as Copilot, which runs on GPT-4  Turbo, the newest version of OpenAI's language model systems. As of May 4 of last year, Copilot moved from limited preview to open preview, meaning that now everyone can access it for free.  

Also: What is Copilot (formerly Bing Chat)? Here's everything you need to know

When I use a chatbot, I typically reach for Copilot because I found that it solved two major issues with ChatGPT, including access to current events and linking back to the sources it retrieved its answer for free. It is also the only way to access OpenAI's most advanced LLM--GPT-4 Turbo--for free. 

Copilot is free to use and offers a series of other features that make it an attractive alternative, including multi-modal inputs, image generation within the chatbot, and a standalone app. 

Best original AI chatbot

• Writing skills
• STEM knowledge
• Conversational
• Not always available
• Not connected to the internet

ChatGPT features:  Uses OpenAI's GPT-3.5 or GPT-4 (if subscribed) | Can generate text, solve math problems, and code | Impressive conversation capabilities | Free to the public right now

ChatGPT is a conversational AI chatbot  by OpenAI that can produce text for you based on any prompt you input, generating emails, essays, poems, grocery lists, letters, and much more.

In addition to writing for you, ChatGPT can chat with you about simple or complex topics such as "What are colors?" or "What is the meaning of life?" If you want other technical assistance, ChatGPT is also proficient in STEM and can write and debug code , and even solve complex math equations. 

Also:  How to use ChatGPT

ChatGPT was released November 2022, and because of its  massive success , it became the blueprint for many other chatbots to enter the scene, with many being found on the list now. Therefore, if you are interested in AI chatbots, you'll likely want to try the original that began the craze -- ChatGPT. 

The downsides of the chatbot include that it is sometimes at capacity due to its immense popularity, doesn't have access to the internet, and has a knowledge cutoff. 

I still reach for ChatGPT as, despite its limitations, it is an incredibly capable chatbot. However, when I do, I make sure that my queries do not rely on the most recent information to be accurate. For example, some good use cases to use ChatGPT for are brainstorming text or coding.

Anthrophic's Claude

Best ai chatbot for summarizing documents.

• Upload document support
• Chat controls
• Light and dark mode
• Unclear usage cap
• Knowledge cutoff

Claude features:   Powered by Claude 3 model family | Accepts document uploads | Trained with information up to early 2023 |  Free

Anthropic launched its first AI assistant, Claude, in February 2023, and in less than a year, it has secured a spot as one of the best chatbots in the space. Like the other leading competitors, Anthropic can conversationally answer prompts with anything you need assistance with, including coding, math, writing, research, and more. 

Also: 4 things Claude AI can do that ChatGPT can't

Personally, the biggest advantage of this chatbot is that it can accept document uploads to help read, analyze, and summarize uploaded files. To upload a file, all I had to do was click on the paper clip icon next to the text box and click on the document I wanted to upload. Then, I was able to conversationally ask for the help I wanted with the document, including document summaries or clarifications on specific topics found within the document. 

Also: This free tool from Anthropic helps you create better prompts for your AI chatbot

Claude is in free open beta, and, as a result, has context window and daily message limits which can vary based on demand, so if you are looking to use the chatbot regularly, upgrading to Claude Pro may be a better option, as it offers at least five times the usage limits compared to the free version for $20 a month. 

Perplexity.ai

The best ai chatbot for prompt ideation.

• Links to sources
• Access to internet
• Paid subscription required for GPT-4 access
• some irrelevant suggestions

Perplexity AI features: OpenAI GPT-3.5 and GPT-4 for subscribers | Has access to the internet and current events | Provides prompt suggestions to get chats started | Free

Perplexity AI is a free AI chatbot that is connected to the internet, provides sources, and has a very enjoyable UI. As soon as you visit the site , using the chatbot is straightforward. All you have to do is type your prompt into the "ask anything" box to get started. The first time I ever visited this chatbot, I was able to get started within seconds.

On top of the text box, the chatbot states, "Where knowledge begins," and the title could not be more fitting. 

Also: ChatGPT vs. Microsoft Copilot vs. Gemini: Which is the best AI chatbot?

As soon as you click on the textbox, it has a series of suggested prompts which are all mostly rooted in news. It also has suggested prompts underneath the box on a variety of evergreen topics. All you have to do is click on any of the suggestions to learn more about the topic and chat about it. Additionally, Perplexity provides related topic questions you can click on to keep the conversation going. 

Because of the extensive prompts it gives users to try, this is a great chatbot for taking deep dives into topics that you wouldn't have necessarily thought of before, encouraging discovery and experimentation. I personally deep dove into a couple of random topics myself, including the history of birthday cakes, and I enjoyed every second of it. 

Other perks include that there is an app for both iOS and Android, allowing you to also tinker with the chatbot while you're on the go, footnotes are provided after every answer with sources you can visit and the answers nearly always include photos and graphics. 

Best AI chatbot for businesses and marketers

• 50 different writing templates
• Copyediting features
• Plagiarism checker
• Need a subscription to try

Jasper features:  Uses different LLMs, including GPT-4 | Summarizes texts and generates paragraphs and product descriptions | Checks for plagiarism and grammar | Starts at $39 per month with an annual subscription

Jasper is a tool exclusively meant for users who are looking to incorporate an AI chatbot into their workflow because there is no free plan, and you can't access the chatbot otherwise. For example, when I tried using it myself, I was met with dead ends unless I subscribed. The least expensive option, the Creator plan, is geared towards freelancers and solo-preneurs and is $49 a month. However, if you rely on an AI chatbot to generate copy for your business, the investment may be worth it. 

Also: ChatGPT vs. Copilot: Which AI chatbot is better for you?

With Jasper, you can input a prompt for what you want to be written, and it will write it for you, just like ChatGPT would. The major difference with Jasper is that it has an extensive amount of tools to produce better copy. Jasper can check for grammar and plagiarism and write in over 50 different templates, including blog posts, Twitter threads, video scripts, and more. It also offers SEO insights and can even remember your brand voice, facilitating the creation of copy. 

Whether you are an individual, small team, or larger business looking into optimizing your workflow, before you take the plunge, you can access a trial or demo. 

Best AI chatbot that functions as a search engine

• Readily available
• Source Citing
• Some answers stronger than others
• Subscription required for GPT-4 access

You.com features: GPT-4 with subscription | Lists sources for the text it generates | Unlike most other Chatbots, uses Google sources | Free

You.com (previously known as YouChat) is an AI assistant that functions similarly to the way a search engine would. Like Google, you can enter any question, or topic you'd like to learn information on, and immediately be met with real-time web results, in addition to a conversational response.  

For example, when I asked, "Can you share some pictures of adorable dog breeds?" the chatbot provided six different web links, as well as the seven different pictures it pulled from the web, a conversational answer and related news, as seen in the photo. 

The chatbot can also provide technical assistance, with answers to anything you input, including math, coding, translating, and writing prompts. A huge pro for this chatbot is that, because it lacks popularity, you can hop on at any time and ask away.  

Chatsonic by Writesonic

Best ai chatbot for article writers.

• Variety of use cases
• Need to sign-in
• A bit of a lag

Chatsonic features:   Powered by GPT-3.5. or GPT-4 depending on subscription | Aware of current events, whereas ChatGPT is trained up to 2021 | Extensive feature suite, including voice dictation and image generation | Starts at $12 per month

Chatsonic is a dependable AI chatbot, with a function as an AI writing tool. It functions much like ChatGPT, allowing users to input prompts for assistance on a variety of tasks. However, it includes the ability to web search, generate images, and access PDF assistance, which ChatGPT lacks. 

The Writesonic platform offers tools that are specifically meant to help generate stories, including Instant Article Writer, which generates an article from a single click; Article Rewriter, which rephrases existing content; and Article Writer 5, which generates articles using ranking competitors. 

Other tools that facilitate the creation of articles include SEO Checker and Optimizer, AI Editor, Content Rephraser, Paragraph Writer, and more. There is a free version, which gets you access to some of the features; however, there is a 50 generations per day limit. The monthly cost starts at $12 per month but goes all the way up to $250 per month depending on the number of words and amount of users needed.

Gemini (formerly Google Bard)

Best ai chatbot if you're a loyal google user.

• Access to Google
• Good text editing skills
• Can't help much with code

Gemini features:  Powered by a finetuned version of Gemini Pro | Includes a "Google it" feature | Generates clear text and images quickly | Free

Gemini is Google's conversational AI chatbot that functions the most similarly to Copilot, sourcing its answers from the web, providing footnotes, and even generating images within its chatbot. Since its initial release in March 2023, the chatbot has undergone several upgrades, with the latest version being the most optimized it has ever been. 

Also: What is Google's Gemini AI tool (formerly Bard)? Everything you need to know

The highlight of this chatbot is that it is rooted in Google technology, search engines, and applications, and if you are a loyal Google user, you will feel familiar with the chatbot's UI and its offerings. For example, unlike most of the chatbots on this list, Google does not use an LLM in the GPT series but instead uses a model made by Google. 

"Gemini is slowly becoming a full Google experience thanks to Extensions folding the wide range of Google applications into Gemini," said ZDNET writer Maria Diaz when reviewing the chatbot. "Gemini users can add extensions for Google Workspace, YouTube, Google Maps, Google Flights, and Google Hotels, giving them a more personalized and extensive experience."

If you subscribe to Google's new 'AI Premium Plan,' you not only get access to the most advanced Google models in Gemini, such as Ultra 1.0, but you also get access to Gemini for Workspace, previously known as  Duet AI,  which infuses Google's AI assistance throughout its productivity apps, including Gmail, Docs, Sheets, Slides, and Meet. 

Socratic by Google

Best ai chatbot for kids and students.

• Educational
• Easy to use
• Doesn't write text
• No desktop version

Socratic features:  From Google | Type in any question to generate a response | Includes fun graphics | Supports scanning worksheets to get a specially curated answer | Free

If you want your child to also take advantage of AI to lighten their workload, but still have some limits, Socratic is for you. With Socratic, children can type in any question they may have about what they are learning in school, and Socratic will generate a conversational, human-like response with fun, unique graphics to help break down the concept. 

"It's a powerful studying tool that could help students double-check their homework, or get across the last hurdle if a question or formula just isn't making sense. And using the app is as easy as using  Snapchat  or talking to Siri," said former ZDNET contributor Jason Cipriani, when reviewing the app. 

The app, available on the App Store and the Google App Store, also has a feature that lets your kid scan their worksheet to get a specially curated answer. The app does have some limitations; for example, it will not just write an essay or story when prompted. However, this could be a positive thing because it curbs your child's temptation to get a chatbot, like ChatGPT, to write their essay for them. 

HuggingChat

Best open-source chatbot.

• Cutomizable
• Intermediate/advanced skills requires
• Required to create an account

Socratic features:  Clean, Chat-GPT inspired interface | entirely customizable | great for developers or AI fanatics | secure alternative | Free

As seen by the list above, plenty of great chatbot options are on the market. However, if you are on the search for a chatbot that serves your use case specifically, you can always build an entirely customizable new one. HuggingChat is an open-source chatbot developed by Hugging Face that can be used as a regular chatbot or customized for your needs.  

Also :  Want to build your own AI chatbot? Say hello to open-source HuggingChat

As ZDNET's David Gewirtz unpacked in his hands-on article , you may not want to depend on HuggingChat as your go-to primary chatbot. However, it is a good interface to build your own chatbot on. As Gewirtz said himself: "If you want something that you control, you can use HuggingChat to build a chatbot where you have visibility into every aspect of its functioning. You can choose to make that chatbot available online to other users and provide transparency to all users."

What is the best AI chatbot?

The best overall AI chatbot is Copilot due to its exceptional performance, versatility, and free availability. It uses OpenAI's cutting-edge GPT-4 language model, making it highly proficient in various language tasks, including writing, summarization, translation, and conversation. Moreover, it works like a search engine with information on current events.

Another advantage of Copilot is its availability to the public at no cost. Despite its immense popularity, Copilot remains free, making it an incredible resource for students, writers, and professionals who need a reliable and free AI chatbot. 

Although there are occasional capacity blocks, OpenAI is working on releasing a professional version of ChatGPT that will be quicker and always accessible at a monthly cost.

Which AI chatbot is right for you?

While Copliot is my personal favorite, your use case may be hyper-specific or have certain demands. If you need a constant, reliable AI chatbot, other alternatives might be better suited for you. If you just want an AI chatbot that produces clean, reliable, business-ready copy, for example, then Jasper is for you. If you want to play around with an AI chatbot that isn't always at capacity, YouChat might be the best option. 

Lastly, if there is a child in your life, Socratic might be worth checking out. See our breakdown below:

Factors to consider when choosing a chatbot

Since there are so many chatbots on the market, picking the right one can get confusing. Some factors to consider to help narrow down those options are: 

• Large Language Model (LLM) 
• Knowledge cutoff 
• Access to the internet 
• Linking to sources 
• Best use cases 

How did I choose these AI chatbots?

In order to curate the list of best AI chatbots and AI writers, I looked at the capabilities of each individual program including the individual uses each program would excel at. As an AI reporter, I was also sure to test each one myself. Other factors I looked at were reliability, availability, and cost. 

• Individual use case: AI chatbots have many use cases, often acting as a tool for productivity and easier workflow. I included a variety that can serve as ideation, education, and content creation tools. 
• Reliability: I kept information accuracy a priority during my testing. 
• Availability : ChatGPT is popular, but not always available. I selected alternatives that don't have a user limit and are available at all times. 
• Cost: Many of these AI programs are free, but some require monthly memberships. I included a mix of both, keeping budget-friendliness in mind. 

What is an AI chatbot?

An AI chatbot (also called AI writer) refers to a type of artificial intelligence-powered program that is capable of generating written content from a user's input prompt. AI chatbots are capable of writing anything from a rap song to an essay upon a user's request. The extent of what each chatbot is specifically able to write about depends on its individual capabilities including whether it is connected to a search engine or not. 

How do AI chatbots work?

AI chatbots use language models to train the AI to produce human-like responses. Some are connected to the web and that is how they have up-to-date information, while others depend solely on the information they are trained with. 

How much do AI chatbots cost?

AI chatbot programs vary in cost with some being entirely free and others costing as much as $600 a month. Many like ChatGPT, Copilot, Gemini and YouChat are entirely free to use. 

What is the difference between an AI chatbot and an AI writer?

The main difference between an AI chatbot and an AI writer is the type of output they generate and their primary function.

In the past, an AI writer was used specifically to generate written content, such as articles, stories, or poetry, based on a given prompt or input. An AI writer's output is in the form of written text that mimics human-like language and structure. On the other hand, an AI chatbot is designed to conduct real-time conversations with users in text or voice-based interactions. The primary function of an AI chatbot is to answer questions, provide recommendations, or even perform simple tasks, and its output is in the form of text-based conversations.

While the terms AI chatbot and AI writer are now used interchangeably by some, the original distinction was that an AI writer was used for generating written content, while an AI chatbot was used for conversational purposes. However, with the introduction of more advanced AI technology, such as ChatGPT, the line between the two has become increasingly blurred. Some AI chatbots are now capable of generating text-based responses that mimic human-like language and structure, similar to an AI writer.

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