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

"If you are looking for a comprehensive and engaging math resource for your students, this Problem String book is an outstanding choice. This book masterfully combines clarity, depth and enthusiasm, making it a perfect companion for both struggling and advanced students. One of the most remarkable aspects of this book is its accessibility. The explanations are clear and concise, breaking down complex concepts into manageable steps. Additionally, the book is well organized and thoughtfully designed. It has plenty of visuals, diagrams and key points. Overall, the Numeracy Problem Strings: Third Grade book is an exceptional resource that I highly recommend for any math classroom. If you want to help your students develop mathematical reasoning and build their numeracy, this book is a must have."

Velvet Sloan, 3rd Grade Math and Science Teacher

"As a coach, this gives me more resources to share with my teachers. I appreciate the layout of the lessons and how there are several strings provided to support growth with each strategy. There are even extension strings! This book is a comprehensive tool to utilize when implementing Problem Strings."

Cheryl Berkuta, K-5 Elementary Math Coach

"As a leader in math for my district, I can now give my teachers a resource to help them build numeracy and mathematical connections for themselves and their students. The Numeracy Problem Strings book series is going to help change the way we teach in our district. "

Beth Roberts, K-12 District Math Coordinator