Table of Contents

Introduction

Chapter 1: Understanding thinking: mental models and why they are relevant to classrooms

Chapter 2: The functions of thinking

Chapter 3: Ways to problem solve and investigate: scaffolds and structures

Chapter 4: Number strings

Chapter 5: Squaring up to the problem

Chapter 6: Rich tasks and big questions

Chapter 7: Changing times

Chapter 8: Problem solving and investigating

Appendix 1: Assessment strategy for PGCE student teachers

Appendix 2: 4R approach to collaboration

Appendix 3: Teacher's note for squaring up to the problem

About the Author

Christine Edwards-Leis is Senior Lecturer in Primary Mathematics at St Mary’s University, Twickenham, UK. Previously she was lecturer and researcher at University of South Australia, Australia. Her research interests are Mental Model Theory and how children use problem-solving strategies in mathematics and design and technology.





Debbie Robinson is Head of Primary Mathematics and Senior Lecturer in Primary Mathematics at St Mary’s University, Twickenham, UK. She has extensive experience as both classroom teacher and advisory teacher in both primary and secondary schools. She provided INSET for qualified teachers for BEAM Publications and Education Authorities and her research interests are the use of practical activities, contexts and images to engage learners in mathematics.