Sign-In
Cart
Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades K-2
Paperback
Series: Corwin Mathematics
General EducationTeaching Instruction
Currently unavailable to order
Please enter your email and a message will be sent to you when this product becomes available on our website.
ISBN13: 9781071967546
Publisher: Corwin Publishers
Published: Sep 29 2025
Pages: 320
Weight: 1.50
Language: English
Math is not rote-memorizable. Math is not random-guessable. Math is figure-out-able.
Author Pam Harris argues that teaching real math--math that is free of distortions--will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do.
Memorization tricks and algorithms meant to make math easier are full of traps that sacrifice long-term student growth for short-lived gains. Students and teachers alike have been led to believe that they've learned more and more math, but in reality their brains never get any stronger. Using these tricks may make facts easier to memorize in isolation, but that very disconnect distorts the reality of math.
In her landmark book Developing Mathematical Reasoning: Avoiding the Trap of Algorithms, Pam emphasizes the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on a set rule for solving problems. Now, in this first companion volume, Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades K-2, she demonstrates how counting and additive strategies serve as the foundation for creating efficient, accurate, and flexible thinkers.
Everyone is capable of understanding and doing real math. This book:
- Gives step-by-step guidance on how to teach the strategies, models, and big ideas that foster confidence and long-term success, preparing students for increasingly complex mathematical challenges
- Offers the what to do to teach counting, addition, and subtraction in ways that promote reasoning over rote memorization
- Provides practical tools such as problem strings, models, classroom routines, and discussion questions designed to implement reasoning-based practices
- Includes supporting resources for creating a classroom culture where students see math as figure-out-able and gain confidence as mathematical thinkers
By addressing common misconceptions about math and providing practical strategies for teaching real math, this book shows that everyone can use the mathematical relationships they already know to reason about new relationships. In other words, everyone can math-even the very youngest students!
Also from
Harris, Pamela Weber
Also in
General Education
A Light in Dark Times: The New School for Social Research and Its University in Exile
Friedlander, Judith
Paperback
How to Educate a Citizen: The Power of Shared Knowledge to Unify a Nation
Hirsch, E. D., Jr.
Hardcover
Culturally and Linguistically Responsive Teaching and Learning: Classroom Practices for Student Success
Hollie, Sharroky
Paperback
The College Scam: How America's Universities Are Bankrupting and Brainwashing Away the Future of America's Youth
Kirk, Charlie
Hardcover
Homeschooled: A New York Times Bestselling Memoir and Read with Jenna Pick
Merrill Block, Stefan
Hardcover
7-Figure Educator: Turn Your Experience as an Educator Into Income, Impact, and Freedom
Jordan-Thomas, Erica
Paperback
Light Up the Learning Brain: 7 Keys to Reducing Disruptive Behavior in the Classroom
Sinarski, Jessica
Paperback
Loteria: First Words / Primeras Palabras (Bilingual: English/Spanish): A Bilingual Picture Book
Stein, Ariana
Rodriguez, Patty
Hardcover
Why You Should Read Children's Books, Even Though You Are So Old and Wise
Rundell, Katherine
Hardcover
The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness
Ramsey, Dave
Hardcover
Teach Like a Champion 3.0: 63 Techniques That Put Students on the Path to College
Lemov, Doug
Paperback
Poisoned Ivies: The Inside Account of the Academic and Moral Rot at America's Elite Universities
Stefanik, Elise
Hardcover
The College Finder: Your comprehensive guide to finding colleges that fit YOUR unique path
McCann M. S., Jay
Antonoff, Steven R.
Paperback
Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention
Bay-Williams, Jennifer
Kling, Gina
Paperback
The Digital Delusion: How Classroom Technology Harms Our Kids' Learning--And How to Help Them Thrive Again; Updated Edition
Cooney Horvath, Jared, PhD Med
Paperback
The Neurodivergent Learner: A New Approach to Your Child's Success in the Classroom and Beyond
King, Emily W., PhD
Hardcover
The Kids Who Aren't Okay: The Urgent Case for Reimagining Support, Belonging, and Hope in Schools
Greene, Ross W.
Hardcover
The Joy of Money: How to Do More with and Feel Better about Your Money--No Matter How Much You Have
Grimes, Carrie Joy
Hardcover
Miracle Children: Race, Education, and a True Story of False Promises
Benner, Katie
Green, Erica L.
Hardcover
The Best 392 Colleges, 2027: In-Depth Profiles & Ranking Lists to Help Find the Right College for You
Soto, David
The Princeton Review
Franek, Robert
Paperback
The People's Guide to College Applications: A Week-By-Week Approach to Writing, Connecting, and Getting in
Constantino, Jill
Paperback
The Power of the Socratic Classroom: Students. Questions. Dialogue. Learning.
Fischer, Charles Ames
Paperback
Lies My Teacher Told Me: Everything Your American History Textbook Got Wrong
Loewen, James W.
Paperback
Scholastic Success with Reading Comprehension Grade 2 Workbook
Scholastic Teaching Resources
Paperback
The Station Rotation Model & UDL: Elevate Tier 1 Instruction and Cultivate Learner Agency
Tucker, Catlin R.
Paperback
Scholastic Success with Reading Comprehension Grade 4 Workbook
Scholastic Teaching Resources
Paperback
Better Than Carrots or Sticks: Restorative Practices for Positive Classroom Management
Frey, Nancy
Smith, Dominique
Fisher, Douglas
Paperback
Permission to Feel: The Power of Emotional Intelligence to Achieve Well-Being and Success
Brackett, Marc
Paperback
Financial Feminist: Overcome the Patriarchy's Bullsh*t to Master Your Money and Build a Life You Love
Dunlap, Tori
Hardcover
One Trusted Adult: How to Build Strong Connections & Healthy Boundaries with Young People
Raney Edd, Brooklyn
Paperback
Culturally Responsive Teaching and the Brain: Promoting Authentic Engagement and Rigor Among Culturally and Linguistically Diverse Students
Hammond, Zaretta L.
Paperback
Scholastic Success with Reading Comprehension Grade 3 Workbook
Scholastic Teaching Resources
Paperback
Original Sins: The (Mis)Education of Black and Native Children and the Construction of American Racism
Ewing, Eve L.
Paperback
What's So Great about the Great Books?: Why You Should Read Classic Literature (Even Though It Might Destroy You)
Kanakia, Naomi
Hardcover
First Little Readers Parent Pack: Guided Reading Level a: 25 Irresistible Books That Are Just the Right Level for Beginning Readers
Schecter, Deborah
Charlesworth, Liza
Paperback
The Addiction Recovery Workbook: Powerful Skills for Preventing Relapse Every Day
Freedman, Paula A.
Paperback
Universal Design for Learning: Principles, Framework, and Practice
Meyer, Anne
Rose, David H.
Paperback
Setting Limits in the Classroom, 3rd Edition: A Complete Guide to Effective Classroom Management with a School-Wide Disciplineplan
Stanzione, Lisa
MacKenzie, Robert J.
Paperback
How to Take Smart Notes: One Simple Technique to Boost Writing, Learning and Thinking
Ahrens, Sönke
Paperback
Supporting Student Executive Functions: Insights and Strategies for Educators
Reid, Alexis
Carey, Lisa
Paperback
The Writing Revolution 2.0: A Guide to Advancing Thinking Through Writing in All Subjects and Grades
Hochman, Judith C.
Wexler, Natalie
Paperback
Beyond the Science of Reading: Connecting Literacy Instruction to the Science of Learning
Wexler, Natalie
Paperback
Hacking School Discipline: 9 Ways to Create a Culture of Empathy and Responsibility Using Restorative Justice
Maynard, Nathan
Weinstein, Brad
Paperback
Mtss for Reading Improvement: A Leader's Tool Kit for Schoolwide Success (Reading Science in Action: An Mtss Tool Kit)
Brown, Sarah
Stollar, Stephanie
Paperback
The Naked Roommate: And 107 Other Issues You Might Run Into in College (Revised and Updated)
Cohen, Harlan
Paperback
AI with Intention: Principles and Action Steps for Teachers and School Leaders
Frontier, Tony
Paperback
The Fallacy Detective: Thirty-Eight Lessons on How to Recognize Bad Reasoning
Bluedorn, Nathaniel
Bluedorn, Hans
Paperback
Illuminating Care: The Pedagogy and Practice of Care in Early Childhood Communities
Garboden Murray, Carol
Paperback
The Preparation: How To Become Competent, Confident, and Dangerous
Smith, Maxim
Casey, Doug
Smith, Matt
Hardcover
Scholastic Success with Reading Comprehension Grade 5 Workbook
Scholastic Teaching Resources
Paperback
The Opposite of Cheating: Teaching for Integrity in the Age of AI Volume 4
Rettinger, David A.
Bertram Gallant, Tricia
Paperback
The Golden Thread: A History of the Western Tradition, Volume I: The Ancient World and Christendom
Guelzo, Allen C.
Hankins, James
Hardcover
Reading Assessment Done Right: Tools and Techniques for Data-Driven Instruction
Winn, Kate
Stollar, Stephanie
Paperback
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
MANUAL SUPERANDO PÉRDIDAS EMOCIONALES, vigésimo aniversario, edición extendida: programa de acción para superar la muerte, el divorcio y otras pérdida
James, John W.
Friedman, Russell
Paperback
The Inspired Homeschool: How History's Heroes Light a Path Toward Joyful, Confident Learning
Pepito, Jennifer
Hardcover
The Essentials of Adolescent Literacy: Integrating Evidence-Based Reading and Writing Instruction in Grades 5-12
Sedita, Joan
Paperback
The Essential Homeschool Kindergarten Workbook: 135 Fun Curriculum-Based Activities to Build Reading, Writing, and Math Skills!
Lewallen, Hayley
Paperback
Unearthing Joy: A Guide to Culturally and Historically Responsive Curriculum and Instruction
Muhammad, Gholdy
Paperback
Teaching with Dignity: How to Create Classroom Ecosystems Where People Thrive
Krownapple, John
Cobb, Floyd
Snyder, Summer
Paperback
The Resistance Solution: Why Educators Resist Change and What They Need Instead
Silver, Becca
Paperback
CompTIA Tech+ Certification All-in-One Exam Guide, Third Edition (Exam FC0-U71)
Wempen, Faithe
Paperback
Your Students, My Students, Our Students: Rethinking Equitable and Inclusive Classrooms
Fisher, Douglas
Jung, Lee Ann
Frey, Nancy
Paperback
Fostering Resilient Learners: Strategies for Creating a Trauma-Sensitive Classroom
Souers, Kristin
Hall, Pete
Paperback
Creating a Language-Rich Math Class: Strategies and Activities for Building Conceptual Understanding
Atkins, Sandra L.
Paperback
What Happened to College?: How Politics Broke Higher Education and What We Can Do to Fix It
Gross, Neil
Hardcover
Thriving with ADHD Workbook for Kids: 60 Fun Activities to Help Children Self-Regulate, Focus, and Succeed
Miller, Kelli, Lcsw MSW
Paperback
Learn to Read Activity Book: 101 Fun Phonics Lessons to Teach Your Child to Read
Braun, Hannah, M. Ed
Paperback
Enhancing Professional Practice: The Framework for Teaching
Furman, Jim S.
Kappes, Lee
Danielson, Charlotte
Paperback
First Little Readers Parent Pack: Guided Reading Level B: 25 Irresistible Books That Are Just the Right Level for Beginning Readers
Schecter, Deborah
Charlesworth, Liza
Paperback
The Preparation: How To Become Competent, Confident, and Dangerous
Smith, Maxim
Casey, Doug
Smith, Matt
Paperback
Handwriting Practice Book for Kids Ages 6-8: Printing workbook for Grades 1, 2 & 3, Learn to Trace Alphabet Letters and Numbers 1-100, Sight Words, 10
Hippidoo
Lalgudi, Sujatha
Paperback
Powerful Writing Structures: Brain Pocket Strategies for Supporting a Year-Long Writing Program
Gear, Adrienne
Paperback
Facing the Fantasy, Finding the Way Forward: Every Educator's Guide to Moving Beyond Behavior Management to Lasting Behavioral Change Using Neuroscien
Bowman, Rick
Bowman, Doris
Paperback
The Shift to Student-Led: Reimagining Classroom Workflows with UDL and Blended Learning
Tucker, Catlin
Novak, Katie
Paperback
The Principal's Playbook on Instructional Leadership: 23 Things That Matter Most for Improving Student Achievement
McLaurin Ed D. Nbct, Josh
Paperback
Scholastic Success with Reading Comprehension Grade 1 Workbook
Scholastic Teaching Resources
Paperback
The 5 Love Languages of Children: The Secret to Loving Children Effectively
Campbell, Ross
Chapman, Gary
Paperback
Greek Myth Plays, Grades 3-5: 10 Readers Theater Scripts Based on Favorite Greek Myths That Students Can Read and Reread to Develop Their Fluency
Pugliano, Carol
Pugliano-Martin, Carol
Paperback
The Writing Revolution 2.0: A Guide to Advancing Thinking Through Writing in All Subjects and Grades
Wexler, Natalie
Hochman, Judith C.
Paperback
The Coddling of the American Mind: How Good Intentions and Bad Ideas Are Setting Up a Generation for Failure
Haidt, Jonathan
Lukianoff, Greg
Paperback
Teaching with AI: A Practical Guide to a New Era of Human Learning
Bowen, José Antonio
Watson, C. Edward
Paperback