Problem Solving in Primary Mathematics is an essential text designed to support new and experienced teachers in guiding pupils through mathematical investigations and problem solving, offering a framework that children themselves can begin to adopt as they progress to greater metacognitive awareness.
Underpinned by the latest international research and theory, it examines how individual pupils think and act differently and offers guidance on how to promote independence and autonomy in the classroom. It examines key topics such as:
Preparing for mathematical learning
Designing learning material
Assessing and evaluating learning
Identifying key points for intervention
What to do when learning is stalled
Critical numeracy for real-world problem solving
Mental Model Theory and the Mental Model Mode
Different approaches to problem solving and investigating
Aimed at new and experienced educators, particularly those with a maths specialism, and illustrated with investigations and activities, Problem Solving in Primary Mathematics demonstrates how frameworks can be used in key mathematical areas and assists students in progressing towards more meaningful problem solving.
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.
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