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 Single-digit Addition
The Strategies for Multi-digit Addition
The Major Strategies for Single-digit Subtraction
The Major Strategies for Multi-digit Subtraction
Chapter 3 Single-digit Addition Lessons
Chapter 4 Single-digit Subtraction Lessons
Chapter 5 Addition Lessons
Chapter 6 Subtraction Lessons
"The strings are perfectly created to give studetns just the right level of challenge. With Problem Strings, students are encouraged to use any strategy that works for them while being nudged toward a particular strategy through a set of problems that naturally lends itself to the use of the target strategy. Instead of tears and frustration with little long-term benefit, I see joy and excitement from students who internalize those strategies and continue to put them to use wherever they find them helpful with future problems. It's awesome!"
Melissa Haugsted, K-2 teacher
"As a math interventionist, I have found teaching with Problem Strings to be very beneficial to my struggling learners. I am seeing more confidence in my students as they develop strategies to grapple with numbers in a meaningful way. These books help me to instill confidence in my students."
Felicia Bohannon, K-6 math interventionist
"This book provides clear, step-by-step guidance and diagrams for newcomers. It's a valuable asset for all levels of experience with Problem Strings, setting a path for an enriching journey in numeracy development."
Rachel Wagland, Assistant Principal Curriculum and Instruction-Leading numeracy and literacy growth across Kindergarten to Year 6, NSW Australia