Table of Contents
Chapter 1 Teaching with Problem Strings
Developing Mathematical Reasoning
Algorithms versus Strategies
Strategies and Models
About Problem Strings
About the Lessons
Facilitating Problem Strings
Planning for Using Problem Strings
Chapter 2 Additive Reasoning
Counting Strategies
What is Additive Reasoning?
The Major Models for Addition and Subtraction
The Major Strategies for Addition
The Major Strategies for Subtraction
Chapter 3 Addition Lessons
Chapter 4 Subtraction Lessons
Chapter 5 Multiplicative Reasoning
Solving Multiplication Problems Using Additive Reasoning
What is Multiplicative Reasoning?
The Major Models for Multiplication and Division
The Major Strategies for Single-digit Multiplication
The Major Strategies for Multi-digit Multiplication
The Major Strategies for Division
Chapter 6 Single-digit Multiplication Lessons
Chapter 7 Multiplication Lessons
Chapter 8 Division Lessons
"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