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
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
What is Multiplicative Reasoning?
The Major Models for Multiplication and Division
The Major Strategies for Multiplication
The Major Strategies for Division
Chapter 6 Multiplication Lessons
Chapter 7 Division Lessons
Appendix Facilitation Notes
"This book is a time-saver. From well-crafted strings to showcase thinking, to ways to question, display my board and create an anchor chart, this book takes the task of teaching math strategies and breaks it down meaningfully in an easy to use format. As a veteran elementary math teacher, I am excited to have a resource that helps me teach students how to think instead of what to think."
Melissa Ellis
Advanced Math Teacher
Lower School
"Before reading this book, I was excited about using Problem Strings, but had no real plan of action for implementation of the strings I had collected. Teaching needs to be strategic and not piecemeal. I have collected many problem strings through my learning with Pam, but had no strategy for sequencing them in a meaningful way. The books have done it for me! They are very strategic in their order. I especially love the Echo Strings and Next Step Strings that allow more work with different groups of students. The written models are also very helpful as I plan my lessons. I feel much more confident that "I can do this!"
Susie Burger
K-5 math interventionist/coach
"As a leader, I am so excited to get these books into the hands of my teachers. They take the guesswork away by providing multiple examples of strings to keep upping the ante so that everybody learns and everybody grows."
Betty Napoli
K-8 Curriculum Director