Table of Contents

Chapter 1 Teaching with Problem Strings

Developing Mathematical Reasoning
Building Number Relationships
The Scope of this Book
About Problem Strings
About the Lessons
Facilitating Problem Strings
Planning for Using Problem Strings

Chapter 2 Foundations of Number

What are the Foundations of Number?
Our Base Ten Place Value System
The Major Models to Develop Foundations of Number
Using Counting Strategies to Solve Problems

Chapter 3 Foundations of Number Lessons

Chapter 4 Additive Reasoning

What is Additive Reasoning?
The Major Models for Additive Reasoning
Big Ideas Developed Through Problem Strings
Beyond Kindergarten

Chapter 5 Additive Reasoning Lessons

Appendix A Images for Facilitating Strings

Appendix B Facilitation Notes

"So often kindergarten has been seen as counting and coloring, but there is so much deep foundational reasoning to build with our students. We have the chance to help them see how much fun and amazing math is right from the beginning of their educational journey. Pam Harris has laid out a very intentional path that pulls it all together so you know you are helping your students truly become mathematical thinkers."

René Stufft, Kindergarten Teacher

"This book presents a systematic framework to move students through the hierarchy of understanding number relationships. The detailed instruction on how to implement the Problem Strings will cause the teachers to learn as they go. Teachers need to just dive in and give it a go!"

Susie Burger, Grades K-5/Intervention

"Before reading this book, I wasn't sure how else to help kindergarten teachers teach math. Now, I have a resource at my fingertips that is ready to go, with examples that help make planning quick. Students love the Problem Strings and are thrilled to share their thinking."

Christine McLaughlin, Ed.D., Teacher on Assignment, TK-8