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Creativity of an Aha! Moment and Mathematics Education [Hardback]

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  • Formāts: Hardback, 474 pages, height x width: 235x155 mm, weight: 943 g
  • Izdošanas datums: 30-Apr-2021
  • Izdevniecība: Brill
  • ISBN-10: 9004376224
  • ISBN-13: 9789004376229
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  • Cena: 175,95 €
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  • Formāts: Hardback, 474 pages, height x width: 235x155 mm, weight: 943 g
  • Izdošanas datums: 30-Apr-2021
  • Izdevniecība: Brill
  • ISBN-10: 9004376224
  • ISBN-13: 9789004376229
Citas grāmatas par šo tēmu:
The 17 chapters in this volume outline a new approach to mathematical creativity through the theory of bisociation described in the Act of Creation by Arthur Koestler in 1964. The theory derives from Koestler’s analysis of the insight phenomenon called Aha! moment or eureka experience in humor, scientific discovery, and art. The book explores classroom facilitation, emergence, and depth of knowledge assessment of an Aha! moment insight, as well as relationships between bisociation theory with the field of creativity and learning theories, illustrating the fundamental role of creativity in learning and teaching math. Math and education academics from North America and Europe explain how bisociation is a sudden leap of insight when a new concept arises out of interaction between two previously separate ways of thinking, and they describe teaching practice, the classroom facilitation, and the investigation of an Aha! moment insight from the cognitive perspective; the relationship between cognition and affect in the context of bisociation, including in math projects and thinking; how bisociative creativity can be found in many theories of learning, particularly constructivist theories; and examples from neuroscience, artificial intelligence, and other areas outside of education. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)

Creativity of an Aha!Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into Mathematics Education. It establishes relationships between bisociation and constructivist theories of learning laying down the basis for the new theory integrating creativity with learning.
Preface ix
Acknowledgements x
List of Figures and Tables
xi
Notes on Contributors xiv
Introduction 1(30)
Bronislaw Czarnocha
1 Arthur Koestler's Bisociation Theory
31(28)
Bronislaw Czarnocha
PART 1 Bisociation in the Classroom
2 Teaching-Research Analysis: The Constructivist Teaching Experiment as a Methodology of Teaching
59(21)
Bronislaw Czarnocha
3 Classroom Facilitation of Aha! Moment Insights
80(30)
Bronislaw Czarnocha
William Baker
4 Assessment of the Depth of Knowledge Acquired during an Aha! Moment Insight
110(29)
Bronislaw Czarnocha
5 The Role of the Teacher in Facilitating the Aha! Moment
139(25)
William Baker
6 The Work of the Teaching-Research Team of the Bronx: Creativity
164(41)
William Baker
Olen Dias
Edme Soho
Hector Soto
Lauren Wolf
PART 2 The Aha! Moment and Affect
7 Creativity in the Eyes of Students: Espoused and Enacted Beliefs in Mathematical Projects
205(21)
Hannes Stoppel
Benjamin Rott
8 Building Long-Term Meaning in Mathematical Thinking: Aha! and Uh-huh!
226(34)
David Tall
9 A Conative Perspective on Aha! Moments
260(11)
Gerald A. Goldin
10 Illuminating Aha! Moments through the Relationships between Cognition, Affect, and Conation
271(30)
Bronislaw Czarnocha
Peter Liljedahl
PART 3 Bisociation and Theories of Learning
11 Bisociation, Creativity, and Interiorization
301(20)
William Baker
12 Two Stage Changes in Anticipation: Cognitive Sources of Aha! Moments
321(24)
Ron Tzur
13 Aha! Moments, Bisociation, and Multifocal Attention
345(20)
John Mason
Bronislaw Czarnocha
PART 4 Bisociativity from Without
14 The Aha! Moment at the Nexus of Mind and Brain
365(33)
Stephen R. Campbell
15 Bisociative Structures
398(27)
Hannes Stoppel
Bronislaw Czarnocha
16 Conclusions
425(16)
Bronislaw Czarnocha
17 Collection of Aha! Moments
441(20)
Bronislaw Czarnocha
Glossary 461(5)
Index 466
Bronislaw Czarnocha, Ph.D. (1976), Yeshiva University, a quantum physicist and a teacher-researcher, is Professor of Mathematics at Hostos CC, CUNY. He published 50 papers in Mathematics Education and edited four books, including Creative Enterprise of Mathematics Teaching Research (Sense, 2016). He is the Editor-in-Chief of the Mathematics Teaching-Research Journal.





William Baker, Ph.D. (1993), teaches mathematics at Hostos Community College CUNY, and as a member of a teaching research team he collaborates with colleagues to research effective instructional methods to motivate students to access their own creativity, and to publish the results.