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 brains 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 books findings will revolutionize the way students, teachers, businesses and industries approach novel problem solving, and mathematics learning and teaching.
This text 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. This book reveals ways of identifying, describing and measuring feeling (or intuition) in problem-solving processes.
Introduction, Section 1: Defining Creativity in Problem Solving:
Cognitive and Non-Cognitive Approaches to Reasoning, 1: Why Study Creativity
in Problem Solving?, 2: Macroscopic and Microscopic Models of Creativity,
Section 2: Constructing and Testing a Conceptual Framework of Creative
Problem Solving , 3: Constructing the Framework: The Particular Case, 4:
Constructing the Framework: The General Case Part 1 Forming the Scales, 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 , 6: Causal Modelling: Toward a Comprehensive Model of
Creative Problem Solving, 7: Testing the Cute Numbers Model of Creative
Problem Solving, 8: Testing the Birthday Cake Model of Creative Problem
Solving, Section 4: A New Approach to Problem Solving, 9: Refining the
Comprehensive Model of Creative Problem Solving, 10: No Model of Solutions
without the Involvement of Feeling
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.
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