ABSTRACT

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’) 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, businesses and industries approach novel problem solving, and mathematics learning and teaching.

chapter |2 pages

Introduction

section 3Section I|2 pages

Defining creativity in problem solving: Cognitive and non-cognitive approaches to reasoning

chapter 1|9 pages

Why study creativity in problem solving?

section 65Section II|2 pages

Constructing and testing a conceptual framework of creative problem solving

chapter 3|18 pages

Constructing the framework

The particular case

chapter 4|32 pages

Constructing the framework

The general case part 1 – forming the scales

chapter 5|26 pages

Constructing the framework

The general case part 2 – confirming the scales

section 143Section III|2 pages

Constructing and testing a comprehensive model of creative problem solving in mathematics

chapter 6|38 pages

Causal modelling

Toward a comprehensive model of creative problem solving

section 239Section IV|2 pages

A new approach to problem solving

chapter 10|21 pages

Conclusion

No model of solutions without the involvement of feeling