Table of Contents
Chapter 1 Teaching with Problem Strings
Developing Mathematical Reasoning
Algorithms versus Strategies
Relationships and Strategies in This Book
About Problem Strings
About the Lessons
Facilitating Problem Strings
Planning for Using Problem Strings
Chapter 2 Foundations of Number
What are Foundations of Number?
Our Base Ten Place Value System
The Major Models to Develop Counting
Counting Strategies to Solve Problems
Chapter 3 Foundations of Number Lessons
Chapter 4 Additive Reasoning
What is Additive Reasoning?
The Major Models for Addition and Subtraction
The Major Strategies for Addition
The Major Strategies for Subtraction
Chapter 5 Lessons for Addition and Subtraction within 10
Chapter 6 Lessons for Addition and Subtraction within 20
Chapter 7 Lessons for Addition and Subtraction within 100
Appendix Facilitation Notes
"Pam makes Problem Strings seem like a piece of cake, when in reality there are many moving intentional parts that go into this work. This book helps unpack those moves in a way that does more than just inform. Numeracy Problem Strings will teach teachers, like myself, how to fish."
Tammy McMorrow, First Grade Teacher
"As a coach, these books provide teachers with tangible strategies and teacher moves to use right away in their classrooms. Numeracy Problem Strings gives teachers the supports they need beyond my coaching and PD sessions to actually put the ideas into practice. There are enough problems to last the whole year! This could easily be a core resource for teachers that lives open on their desk, not on their bookshelf."
Jessie Zanutig, Elementary Math Consultant
"Problem Strings are magical! I've been modeling in classrooms this year, but being able to hand teachers the echo strings to follow up with will help them to really understand how valuable this model is and what a gift the book is! The progression of skills is spot on!"
Susie Burger, retired Principal, current K-5 Math Intervention Specialist