Developing Mathematical Reasoning

The Strategies, Models, and Lessons to Teach the Big Ideas in Grades K-2

Building Numeracy from the Ground Up!

The foundation for strong numeracy starts in K–2. Learn the strategies that go beyond “just do this” to EMPOWER YOUNG LEARNERS to understand, reason, and thrive in math.

Developing Mathematical Reasoning

The Strategies, Models, and Lessons to Teach the Big Ideas in Grades K-2

Building Numeracy from the Ground Up!

The foundation for strong numeracy starts in K–2. Learn the strategies that go beyond “just do this” to EMPOWER YOUNG LEARNERS to understand, reason, and thrive in math.

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You will learn...

Voices from experts in the field

Jo Boaler

NOMELLINI & OLIVIER PROFESSOR OF EDUCATION, STANFORD UNIVERSITYSTANFORD, CA

“Who better than Pam Harris to help you introduce K–2 students to mathematical reasoning—the language, the music, and the poetry of mathematics. A must-read book filled with teaching strategies and creative ideas.”

Peter Liljedahl

PROFESSOR, SIMON FRASER UNIVERSITY; AUTHOR, BUILDING THINKING CLASSROOMS, VANCOUVER, BRITISH COLUMBIA, CANADA

“The abilities to count and to add are foundational to mathematics. All that follows is built upon these cornerstones. Get it right and math becomes ‘figure-out-able.’ In this book, Harris gives us the tools to get it right. Through real classroom examples, Harris takes us through strategies that are easy to adopt and effective in getting and keeping students engaged in the work of understanding mathematics.”

Graham Fletcher

MATH SPECIALIST; AUTHOR, BUILD FACT FLUENCY TOOLKIT, ATLANTA, GA

“This book is a gift to primary teachers. It offers clear ideas we can use right away to help students build real understanding and develop as mathematical thinkers. From counting to additive reasoning, and through the power of models and Problem Strings, this book supports teachers in making instruction more purposeful and responsive.”

Christina Tondevold

RECOVERING TRADITIONALIST, FOUNDER, BUILD MATH MINDS, OROFINO, ID

“If you’ve ever heard Pam Harris talk about the Levels of Sophistication in Mathematical Reasoning and thought, ‘I get it but what does that look like with MY students??’ This book delivers! It reveals how young children develop counting skills and thinking strategies for mathematical operations. You’ll gain insights into student development, practical tasks to showcase their thinking, and modeling techniques that benefit every child in your classroom.”

Voices from experts in the field

Jo Boaler

NOMELLINI & OLIVIER PROFESSOR OF EDUCATION, STANFORD UNIVERSITYSTANFORD, CA

Peter Liljedahl

PROFESSOR, SIMON FRASER UNIVERSITY; AUTHOR, BUILDING THINKING CLASSROOMS, VANCOUVER, BRITISH COLUMBIA, CANADA

Graham Fletcher

MATH SPECIALIST; AUTHOR, BUILD FACT FLUENCY TOOLKIT, ATLANTA, GA

Christina Tondevold

RECOVERING TRADITIONALIST, FOUNDER, BUILD MATH MINDS, OROFINO, ID

Preface

Chapter 1: Mathematics for Teaching

Chapter 2: All About Counting

Chapter 3: Counting Strategies

Chapter 4: The Major Strategies for Addition Within 20

Chapter 5: The Major Strategies for Subtraction Within 20

Chapter 6: The Major Strategies for Double-Digit Addition

Chapter 7: The Major Strategies for Multidigit Subtraction

Chapter 8: Task to Develop Mathematical Reasoning

Chapter 9: Modeling and Models

Chapter 10: Moving Forward

This book is the essential companion to Pam Harris's landmark work "Developing Mathematical Reasoning" series, specifically crafted for the unique developmental needs of our youngest mathematicians.

Meet the author, Pam Harris!

Pam Harris

Author

Pam Harris, author of Developing Mathematical Reasoning: Avoiding the Trap of Algorithms, is shifting the way we view and teach mathematics. She is a mom, former high school math teacher, university lecturer, author, and the Founder of Math is Figureoutable.

Math teachers around the world rave about her online Building Powerful Mathematics workshops. For over 20 years, Pam has been helping leaders and teachers reach more students in less time so that students math with confidence and success.