1st Edition

Unlocking Creativity in Solving Novel Mathematics Problems Cognitive and Non-Cognitive Perspectives and Approaches

By Carol Aldous Copyright 2020
336 Pages
by Routledge

336 Pages
by Routledge

336 Pages
by Routledge

Unlocking Creativity in Solving Novel Mathematics Problems delivers a fascinating insight into thinking and feeling approaches used in creative problem solving and explores whether attending to ‘feeling’ makes any difference to solving novel problems successfully. With a focus on research throughout, this book reveals ways of identifying, describing and measuring ‘feeling’ (or ‘intuition’)... Read more

Contents

List of Figures

List of Tables

About the Author

Preface

Acknowledgements

Terminology

Reading Map

Introduction

Section 1: Defining Creativity in Problem Solving: Cognitive and Non-Cognitive Approaches to Reasoning

Chapter 1 Why Study Creativity in Problem Solving?

Chapter 2 Macroscopic and Microscopic Models of Creativity

Section 2: Constructing and Testing a Conceptual Framework of Creative Problem Solving

Chapter 3 Constructing the Framework: The Particular Case

Chapter 4 Constructing the Framework: The General Case Part 1 – Forming the Scales

Chapter 5 Constructing the Framework: The General Case Part 2 – Confirming the Scales

Section 3: Constructing and Testing a Comprehensive Model of Creative Problem Solving in Mathematics

Chapter 6 Causal Modelling: Toward a Comprehensive Model of Creative Problem Solving

Chapter 7 Testing the Cute Numbers Model of Creative Problem Solving

Chapter 8 Testing the Birthday Cake Model of Creative Problem Solving

Section 4: A New Approach to Problem Solving

Chapter 9 Refining the Comprehensive Model of Creative Problem Solving

Chapter 10 No Model of Solutions without the Involvement of Feeling

Appendix

Biography

Carol R. Aldous, BSc (Hons) developmental genetics, PhD (mathematics education and creative problem solving) is a senior lecturer in science and mathematics education at Flinders University, Adelaide, Australia. She leads a South Australian government-funded STEM industry engagement project and passionately researches the role of creativity in problem solving.