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Unlocking Creativity in Solving Novel Mathematics Problems: Cognitive and Non-Cognitive Perspectives and Approaches [Kietas viršelis]

(Flinders University, Australia)
  • Formatas: Hardback, 318 pages, aukštis x plotis: 234x156 mm, weight: 453 g, 41 Tables, black and white; 34 Line drawings, black and white
  • Išleidimo metai: 09-Jul-2019
  • Leidėjas: Routledge
  • ISBN-10: 0367001713
  • ISBN-13: 9780367001711
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 318 pages, aukštis x plotis: 234x156 mm, weight: 453 g, 41 Tables, black and white; 34 Line drawings, black and white
  • Išleidimo metai: 09-Jul-2019
  • Leidėjas: Routledge
  • ISBN-10: 0367001713
  • ISBN-13: 9780367001711
Kitos knygos pagal šią temą:

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, business and industry approach novel problem solving, and mathematics learning and teaching.

List of figures
vii
List of tables
ix
About the author xii
Preface xiii
Acknowledgements xv
Terminology xvi
Reading map xviii
Introduction 1(2)
SECTION I Defining creativity in problem solving: Cognitive and non-cognitive approaches to reasoning
3(62)
1 Why study creativity in problem solving?
5(9)
2 Macroscopic and microscopic models of creativity
14(51)
SECTION II Constructing and testing a conceptual framework of creative problem solving
65(78)
3 Constructing the framework: The particular case
67(18)
4 Constructing the framework: The general case part 1 --- forming the scales
85(32)
5 Constructing the framework: The general case part 2 --- confirming the scales
117(26)
SECTION III Constructing and testing a comprehensive model of creative problem solving in mathematics
143(96)
6 Causal modelling: Toward a comprehensive model of creative problem solving
145(38)
7 Testing the Cute Numbers model of creative problem solving
183(27)
8 Testing the Birthday Cake model of creative problem solving
210(29)
SECTION IV A new approach to problem solving
239(68)
9 Refining the comprehensive model of creative problem solving
241(45)
10 Conclusion: No model of solutions without the involvement of feeling
286(21)
Appendix 307(7)
Index 314
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.