Mathematize It! [Grades 3-5]

Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5
First Edition
Sara Delano Moore - Mathematics Consultant
Linda M. Gojak - Mathematics Consultant, NCTM Past-President
Mathematize It! [Grades 3-5]
September 2019 | 224 pages | Corwin
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eBook
ISBN: 9781506395265
Available from January 0001
Paperback
ISBN: 9781506395272
Available from January 0001

Description

“The list of math books to truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!”

Suni Singh 
Author of Pi of Life: the Hidden Happiness of Mathematics and Math Recess: Playful Learning in an Age of Disruption


Help students reveal the math behind the words


“I don’t get what I’m supposed to do!” This is a common refrain from students when asked to solve word problems.

Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution.  Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them.

Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem.
 
Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 3–5

• Offers a systematic mathematizing process for students to use when solving word problems • Gives practice opportunities and dozens of problems to leverage in the classroom • Provides specific examples of questions and explorations for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals • Demonstrates the use of concrete manipulatives to model problems with dozens of short videos • Includes end-of-chapter activities and reflection questions

How can you help your students understand what is happening mathematically when solving word problems? Mathematize it! 

Contents

Video List

Video List

Preface

  • Chapter 1 Introduction: Why You Need to Teach Students to Mathematize
  • Problem Solving Strategies Gone Wrong
  • What is Mathematizing? Why Is It Important?
  • Teaching Students to Mathematize
  • Final Words Before You Dive In

Part 1 Addition and Subtraction

  • Chapter 2: Add-To and Take-From: Locating the Change
  • Thinking About Active Addition and Subtraction Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 3: Part-Part-Whole: Understanding the Relationship
  • Thinking About Part-Part-Whole Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 4: Additive Comparisons: Another Kind of Relationship
  • Thinking About Additive Comparison Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect

Part 2: Multiplication and Division

  • Chapter 5: Equal Groups Multiplication: Two Factors, Different Jobs
  • Thinking About Equal Groups Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try it Out!
  • Reflect
  • Chapter 6: Equal Groups Division: When a Factor Is Missing
  • Thinking About Equal Groups Division
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try it Out!
  • Reflect
  • Chapter 7: Multiplicative Comparisons: Another Asymmetric Relationship
  • Thinking About Multiplicative Comparisons
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 8: Area and Array: Two Factors, Same Job
  • Thinking About Area and Array Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 9: Changing How You Teach Word Problems
  • Getting into the Mathematizing Sandbox
  • 8 Shifts in Instruction for Building Students’ Problem-Solving Skills
  • Guidance for Moving Forward: FAQ’s

Appendix A – Situation Tables

Appendix A – Situation Tables

References

References

Index

Index

Description

“The list of math books to truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!”

Suni Singh 
Author of Pi of Life: the Hidden Happiness of Mathematics and Math Recess: Playful Learning in an Age of Disruption


Help students reveal the math behind the words


“I don’t get what I’m supposed to do!” This is a common refrain from students when asked to solve word problems.

Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution.  Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them.

Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem.
 
Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 3–5

• Offers a systematic mathematizing process for students to use when solving word problems • Gives practice opportunities and dozens of problems to leverage in the classroom • Provides specific examples of questions and explorations for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals • Demonstrates the use of concrete manipulatives to model problems with dozens of short videos • Includes end-of-chapter activities and reflection questions

How can you help your students understand what is happening mathematically when solving word problems? Mathematize it! 

Contents

Video List

Video List

Preface

  • Chapter 1 Introduction: Why You Need to Teach Students to Mathematize
  • Problem Solving Strategies Gone Wrong
  • What is Mathematizing? Why Is It Important?
  • Teaching Students to Mathematize
  • Final Words Before You Dive In

Part 1 Addition and Subtraction

  • Chapter 2: Add-To and Take-From: Locating the Change
  • Thinking About Active Addition and Subtraction Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 3: Part-Part-Whole: Understanding the Relationship
  • Thinking About Part-Part-Whole Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 4: Additive Comparisons: Another Kind of Relationship
  • Thinking About Additive Comparison Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect

Part 2: Multiplication and Division

  • Chapter 5: Equal Groups Multiplication: Two Factors, Different Jobs
  • Thinking About Equal Groups Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try it Out!
  • Reflect
  • Chapter 6: Equal Groups Division: When a Factor Is Missing
  • Thinking About Equal Groups Division
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try it Out!
  • Reflect
  • Chapter 7: Multiplicative Comparisons: Another Asymmetric Relationship
  • Thinking About Multiplicative Comparisons
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 8: Area and Array: Two Factors, Same Job
  • Thinking About Area and Array Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 9: Changing How You Teach Word Problems
  • Getting into the Mathematizing Sandbox
  • 8 Shifts in Instruction for Building Students’ Problem-Solving Skills
  • Guidance for Moving Forward: FAQ’s

Appendix A – Situation Tables

Appendix A – Situation Tables

References

References

Index

Index

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Mathematize It! [Grades 3-5]

Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5


September 2019 | 224 pages | Corwin

Format Published Date ISBN Price
Paperback 01/02/2026 9781506395272 $37.95
Lifetime 01/02/2026 9781506395265 $35.00

“The list of math books to truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!”

Suni Singh 
Author of Pi of Life: the Hidden Happiness of Mathematics and Math Recess: Playful Learning in an Age of Disruption


Help students reveal the math behind the words


“I don’t get what I’m supposed to do!” This is a common refrain from students when asked to solve word problems.

Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution.  Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them.

Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem.
 
Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 3–5

• Offers a systematic mathematizing process for students to use when solving word problems • Gives practice opportunities and dozens of problems to leverage in the classroom • Provides specific examples of questions and explorations for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals • Demonstrates the use of concrete manipulatives to model problems with dozens of short videos • Includes end-of-chapter activities and reflection questions

How can you help your students understand what is happening mathematically when solving word problems? Mathematize it! 


Table Of Contents:

  • Video List
  • Preface
  • Chapter 1 Introduction: Why You Need to Teach Students to Mathematize
  • Problem Solving Strategies Gone Wrong
  • What is Mathematizing? Why Is It Important?
  • Teaching Students to Mathematize
  • Final Words Before You Dive In
  • Part 1 Addition and Subtraction
  • Chapter 2: Add-To and Take-From: Locating the Change
  • Thinking About Active Addition and Subtraction Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 3: Part-Part-Whole: Understanding the Relationship
  • Thinking About Part-Part-Whole Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 4: Additive Comparisons: Another Kind of Relationship
  • Thinking About Additive Comparison Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Part 2: Multiplication and Division
  • Chapter 5: Equal Groups Multiplication: Two Factors, Different Jobs
  • Thinking About Equal Groups Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try it Out!
  • Reflect
  • Chapter 6: Equal Groups Division: When a Factor Is Missing
  • Thinking About Equal Groups Division
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try it Out!
  • Reflect
  • Chapter 7: Multiplicative Comparisons: Another Asymmetric Relationship
  • Thinking About Multiplicative Comparisons
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 8: Area and Array: Two Factors, Same Job
  • Thinking About Area and Array Situations
  • Moving Beyond Whole Numbers
  • Key Ideas
  • Try It Out!
  • Reflect
  • Chapter 9: Changing How You Teach Word Problems
  • Getting into the Mathematizing Sandbox
  • 8 Shifts in Instruction for Building Students’ Problem-Solving Skills
  • Guidance for Moving Forward: FAQ’s
  • Appendix A – Situation Tables
  • References
  • Index

Recent Product Reviews:

“The list of generational math books to come along and truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It! to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It! will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!”
Sunil Singh
“Mathematize It! is a must-read for anyone who has struggled to teach word problems and is ready to figure out what really works. The authors present a plethora of strategies that help students focus on the thinking part of the problem-solving process while gently helping the reader understand that so many of our ‘tried-and-true’ methods, such as key words, really don’t work. They help us realize that the real work of solving word problems is in the sense-making phase—once students have made sense of a problem, calculating the solution is the simpler part of the process.”
Kimberly Rimbey, KP Matheamtics
Mathematize It! addresses the complexity of problem solving more completely than any other individual resource. It is easy to say that we must teach students to ‘mathematize situations’ but this book helps us to actually help students learn to do it. The challenge and reflection pieces at the end of each chapter are a game changer for unveiling teaching opportunities, prompting discussion in your PLC, and moving this from a book on the professional shelf to a powerful tool to impact instruction.
Gina Kilday, Metcalf Elementary School, Exeter, RI
“Mathematize It! is a book that should be on the shelf of every classroom teacher and division leader who supports mathematics teaching and leading. This valuable resource helps educators to think about the what, why, and the how to make sense of word problems. It gives a framework and visuals on how to support teachers’ understanding around problem types and solving problems and excels in assisting teachers in how to make a commitment to teaching for greater understanding.”
Spencer Jamieson, Virginia Council of Teacher of Mathematics
“This is a game changer… even after 20 years of supporting students and their sensemaking of word problems, I am thrilled to learn even more from this trio of authors. They offer practical suggestions, opportunities for practice, and relevant research in order to increase awareness of best practices surrounding word problems. The only key word in this case is MATHEMATIZE! To have this resource in your hands is to have an invitation to the ‘mathematizing sandbox’.”
Beth Terry, Riffa Views International School, Baharain

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