Unlocking Creativity in Solving Novel Mathematics Problems: Cognitive and Non-Cognitive Approaches, 1st Edition (Hardback) book cover

Unlocking Creativity in Solving Novel Mathematics Problems

Cognitive and Non-Cognitive Approaches, 1st Edition

By Carol R. Aldous

Routledge

340 pages

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Hardback: 9780367001711
pub: 2019-06-21
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Description

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 these ‘feelings’ 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’) in problem-solving processes. It details construction of a new creative problem-solving conceptual framework using cognitive and non-cognitive elements, including the brain’s visuo-spatial and linguistic circuits, conscious and non-conscious mental activity, and the generation of feeling in listening to the self, identified from verbal data. This framework becomes the process model for developing a comprehensive quantitative model of creative problem solving incorporating the Person, Product, Process and Environment dimensions of creativity.

In a world constantly seeking new ideas and new approaches to solving complex problems, the application of this book’s findings will revolutionize the way students, teachers, business and industry approach novel problem solving, and mathematics learning and teaching.

Table of Contents

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

About the Author

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.

Subject Categories

BISAC Subject Codes/Headings:
EDU000000
EDUCATION / General