Creativity of an Aha! Moment and Mathematics Education

Erscheinungsjahr 2021
ISBN: 978-90-04-44744-8
Verlag: Brill

Buch, Englisch, 474 Seiten, Format (B × H): 156 mm x 236 mm, Gewicht: 710 g

Creativity of an Aha! Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into mathematics education. It establishes relationships between Koestler’s bisociation theory and constructivist learning theories. It lays down the basis for a new theory integrating creativity with learning to describe moments of insight at different levels of student development. The collection illuminates the creativity of the eureka experience in mathematics through different lenses of affect, cognition and conation, theory of attention and constructivist theories of learning, neuroscience and computer creativity. Since Aha! is a common human experience, the book proposes bisociation as the basis of creativity for all. It discusses how to facilitate and assess Aha! creativity in mathematics classrooms.


Contributors are: William Baker, Stephen Campbell, Bronislaw Czarnocha, Olen Dias, Gerald Goldin, Peter Liljedahl, John Mason, Benjamin Rott, Edme Soho, Hector Soto, Hannes Stoppel, David Tall, Ron Tzur and Laurel Wolf.

Autoren/Hrsg.

Weitere Mitwirkende

Czarnocha, Bronislaw

Baker, William

Fachgebiete

• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Sozialwissenschaften Pädagogik Pädagogik

Inhaltsverzeichnis

Preface

Acknowledgements

List of Figures and Tables

Notes on Contributors

Introduction

Bronislaw Czarnocha

1 Arthur Koestler’s Bisociation Theory

Bronislaw Czarnocha

PART 1: Bisociation in the Classroom

2 Teaching-Research Analysis: The Constructivist Teaching Experiment as a Methodology of Teaching

Bronislaw Czarnocha

3 Classroom Facilitation of Aha! Moment Insights

Bronislaw Czarnocha and William Baker

4 Assessment of the Depth of Knowledge Acquired during an Aha! Moment Insight

Bronislaw Czarnocha

5 The Role of the Teacher in Facilitating the Aha! Moment

William Baker

6 The Work of the Teaching-Research Team of the Bronx: Creativity

William Baker, Olen Dias, Edme Soho, Hector Soto and Lauren Wolf

PART 2: The Aha! Moment and Affect

7 Creativity in the Eyes of Students: Espoused and Enacted Beliefs in Mathematical Projects

Hannes Stoppel and Benjamin Rott

8 Building Long-Term Meaning in Mathematical Thinking: Aha! and Uh-huh!

David Tall

9 A Conative Perspective on Aha! Moments

Gerald A. Goldin

10 Illuminating Aha! Moments through the Relationships between Cognition, Affect, and Conation

Bronislaw Czarnocha and Peter Liljedahl

PART 3: Bisociation and Theories of Learning

11 Bisociation, Creativity, and Interiorization

William Baker

12 Two Stage Changes in Anticipation: Cognitive Sources of Aha! Moments

Ron Tzur

13 Aha! Moments, Bisociation, and Multifocal Attention

John Mason and Bronislaw Czarnocha

PART 4: Bisociativity from Without

14 The Aha! Moment at the Nexus of Mind and Brain

Stephen R. Campbell

15 Bisociative Structures

Hannes Stoppel and Bronislaw Czarnocha

16 Conclusions

Bronislaw Czarnocha

17 Collection of Aha! Moments

Bronislaw Czarnocha

Glossary

Index

Über Autor(innen)

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.