Writing In Mathematics



List of topics of this page: 

 

The purpose of writing in mathematics is well explained in "Writing in the Mathematics Curriculum" by Patricia C. Burchfield, Patricia R. Jorgensen, Kimberley G. McDowell, and Jim Rahn: 

Writing is a natural process, a method of communication between people and a way to express the thoughts and feelings that occur within a person. Its use as a tool for the teaching and learning of mathematics is a recent development, springing in part from the NCTM Standards on Communication. No longer the exclusive province of the humanities, writing is now in use in mathematics classes at all levels, K-12. 

Through the use of writing in the mathematics classroom, students can clarify their thinking, recognize and appreciate the connection between mathematics and other disciplines, and communicate their thoughts, ideas, and understanding about the subject with other students. Writing involves all students, both male and female, and the teacher. It is important for the students to see the teacher participating in these writing activities. Writing provides an alternative mode of learning for those creative students who have not previously been reached by more traditional, structured, linear methodology. Because a student often knows more than he or she can explained verbally, writing helps the student to uncover more of what is known and to express it. Once the students have had the opportunity to collect their thoughts on paper, they may then volunteer to share their work.  

Finally, as Joan Countryman says in her book, Writing to Learn Mathematics 
Mathematics is a way to understand the world and writing is a way to understand mathematics. 
 

Writing should:  

  • help students become aware of what they do and do not know. 
  • connect prior knowledge with what the student is studying. 
  • summarize the student's knowledge and give insight into understanding. 
  • help the student raise questions about new ideas. 
  • give the student a chance to reflect on what is known. 
  • allow the student to construct mathematics for him or herself. 
  • help the student keep his or her thoughts organized. 
  • help address the issue of "math anxiety." 
  • support the interdisciplinary approach to education. 
  • help the student make tentative ideas more permanent. 
  • help teachers answer specific questions such as: 
    • Does the student use mathematics to make sense of a complex situation? 
    • Can the student formulate hypotheses? 
    • Can the student organize information? 
    • Can the student explain concepts? 
    • Does the student use communication skills effectively? 
    • Does the student use appropriate mathematical language?
    • Is the student confident in his or her abilities?

When writing, thoughts become clearer--you discover exactly what you are thinking.  When writing in your math journal, use words, pictures, numbers, and manipulatives. Through math journals, verbal knowledge, mathematical knowledge, personal experience, and visual ideas merge as you make mathematical ideas your own.  You will find yourself improving how you define concepts and explain solutions clearly and logically as you write and draw in your own style to discover real math.

Back to Top 

What I will write in my math journal?

First, students need to print out the Math Journal Form. Students will need Adobe Acrobat Reader to print out the Math Journal Form. If you do not have Adobe Acrobat Reader, a limited version is provided free from Adobe. You may obtain it by clicking on the Adobe icon. Click below to print out the Math Journal Form. 
 

 

Second, students will be assigned one of the math writing prompts from one of the three available categories: Affective/Attitudinal Prompts, Mathematical Content Prompts, and Process Prompts.  Then, students will respond the assigned prompt on the journal form. 
 

Back to Top 

Math Writing Prompts

These prompts will be used through out the lessons that will be covered in class. 
 

Prompt no.

Affective/Attitudinal

(How do you feel?)

Mathematical Content

(What is about?)

Process

(Explain how!)

1

Explain how you feel about mathematics now as compared to before you took this class. 

The difference between... and ... is... 

The most important part of solving a problem is... 

2

My best kept secret about math is...

I think a ... is... (I thought a ... was...) 

Write instructions for a fifth grader to follow when (adding fractions, finding percentages, calculating averages, etc.) 

3

If math could be a color (shape, sound), it would be...because...

How would you describe a ...
 

Find something that you learned today that is similar to something you already knew. Write about these similarities.

4

I want to become better at math so that I... 

What patterns do you notice in ... 

Do you use tables or diagrams when solving a problem? Why or why not? 

5

People who are good at math...

How do you use ... in your life? 
 

You know several ways to.... (solve an equation, factor a quadratic, add fractions, etc.) Which method is your favorite? Why? 

6

My best experience with math was when...

Make a list of objects or figures in the room which have ... How can you tell? 

How important is being neat and organized to you in general, and when you are doing math? 

7

My worst experience with math was when... 

Write your own definition of a ... 

When I study for a test, I... 

8

When it comes to math, I find it difficult to... 

Explain how ...

Write a letter to your teacher explaining what you do understand about the topic, and what needs to be clarified. 

9

When I hear someone say math is fun, I... 

Write all you know about ...

When I read a math textbook, and see a word I don't know, I... 

10

Draw a picture of a mathematician and describe what a mathematician does.

How many squares are there on a chess board? Describe your strategy for solving this problem.

The key idea of the lesson today was... 

11

If I were better at math, I would... 

Describe the mathematics seen in a photograph. (Photograph may need to be provided). 

When I see a word problem, the first thing I do is...Then I...

12

What kind of math figure are you? (Circle, square, triangle, parallelogram, etc.) Why did you choose that figure? 

Write and solve a word problem whose solution involves ...

What are the benefits of journal writing for mathematics classes? 

13

Describe your feelings about showing your work on the board or overhead.

Find a shortcut for ... 
 

How could journal writing be changed to be more effective? 
 

14

Does mathematics or math class scare you in any way? 

Explain the ...

When you get a test back, do you make corrections or ask questions? Why or why not?

15

My three personal goals for this term are...

Describe practical uses for ...

How do I read my math textbook? 

16

Describe how today's math class will affect your day.

Compare and contrast the terms ...

Describe any computational procedure that you invented. 

17

What did you like most about your previous math class? What did you like the least? 

Explain everything you know about ...

How should we use class time to the best advantage? 

18

My math grade now is ...because...

Write an explanation about the differences between ... and ...

Write possible test questions for this unit. 

19

This is how I feel about Algebra (Pre-algebra, Percents, Fractions, etc.) 

How many dimensions does a pencil have? Explain your answer.

What is the most significant thing you learned this week? 

20

One mathematics activity I really enjoy is...because... 

Why can't you divide by zero?

What questions are still unanswered at the end of this week?

21

This is how I used math this week (outside of school)... 

How can you find a number with thirteen factors? 

Explain how you can improve your communication and cooperation in the mathematics classroom.

22

Draw a cartoon of the 'Math Monster' and write what the 'Math Monster' is saying to you. 

What is a ...? Write all you can about ...

Describe any discoveries you make about mathematics (patterns, relationships, procedures, etc.). 
 

23

Write a letter to a student who will be taking this class next year, giving some advice about this class. 

How do you simplify...?

Describe the process you undertook to solve this problem. (Problem needs to be provided.) 

24

Design two mathematical bumper stickers, one funny, one serious. 

Why do we need proofs in mathematics? 

Write WHO, WHAT, WHERE, WHEN, WHY, and HOW across the top of your page. Answer these questions based on today's class. 

25

My parents feel that math is...

Why is it necessary...?

Describe the graph of...as if you were explaining it to a friend over the phone. 

 

Back to Top 
 
 

Scoring Rubric for Math Journal

 

A

Response is coherent and well structured.  Ideas are communicated clearly.  Math topics clearly

B

Response is coherent and adequately structured.    Ideas are communicated fairly well.

D

Response is incomplete.  Ideas are somehow incoherent and ambiguous. Ideas are written in fragments.

F

No response or ideas are completely irrelevant and inadequate.

 
 

Back to Top 
 
 
 

 

1