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Mathematical Creativity

A Developmental Perspective

  • Book
  • © 2022

Overview

Editors:
  1. Scott A. Chamberlin

    1. University of Wyoming, Laramie, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Peter Liljedahl

    1. Simon Fraser University, Burnaby, Canada

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    You can also search for this editor in PubMed   Google Scholar

  3. Miloš Savić

    1. University of Oklahoma, Norman, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Emphasizes a developmental perspective to the understanding of mathematical creativity
  • Presents evidence based research in the field of mathematical creativity
  • Provides a multidisciplinary approach to the field of mathematical creativity

Part of the book series: Research in Mathematics Education (RME)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiii
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  2. History and Background of Mathematical Creativity

    1. Front Matter

      Pages 1-1
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    2. Creativity and Mathematics: A Beginning Look

      • Alane Jordan Starko
      Pages 3-13

    3. Creativity in Mathematics: An Overview of More Than 100 Years of Research

      • Benjamin Rott, Maike Schindler, Lukas Baumanns, Julia Joklitschke, Peter Liljedahl
      Pages 15-26

    4. Mathematical Creativity and Society

      • Scott A. Chamberlin, Anna Payne
      Pages 27-39

    5. Organizational Framework for Book and Conceptions of Mathematical Creativity

      • Scott A. Chamberlin, Peter Liljedahl, Miloš Savić
      Pages 41-54

    6. Commentary on Section

      • Deborah Moore-Russo
      Pages 55-61

  3. Synthesis of Literature on Mathematical Creativity

    1. Front Matter

      Pages 63-63
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    2. Mathematical Creativity Research in the Elementary Grades

      • Joseph S. Kozlowski, Scott A. Chamberlin
      Pages 65-80

    3. Literature Review on Empirical Findings on Creativity in Mathematics Among Secondary School Students

      • Julia Joklitschke, Lukas Baumanns, Benjamin Rott, Maike Schindler, Peter Liljedahl
      Pages 81-103

    4. Mathematical Creativity at the Tertiary Level: A Systematic Review of the Literature

      • Miloš Savić, V. Rani Satyam, Houssein El Turkey, Gail Tang
      Pages 105-120

    5. Mathematical Creativity from an Educational Perspective: Reflecting on Recent Empirical Studies

      • Esther S. Levenson
      Pages 121-127

  4. New Empirical Research on Mathematical Creativity

    1. Front Matter

      Pages 129-129
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    2. Now You See It, Now You Don’t: Why The Choice of Theoretical Lens Matters When Exploring Children’s Creative Mathematical Thinking

      • Sandra Crespo, Higinio Dominguez
      Pages 131-145

    3. The Creative Mathematical Thinking Process

      • Isabelle C. de Vink, Ard W. Lazonder, Robin H. Willemsen, Eveline M. Schoevers, Evelyn H. Kroesbergen
      Pages 147-172

    4. Group Creativity

      • Peter Liljedahl
      Pages 173-195

    5. “Creativity Is Contagious” and “Collective”: Progressions of Undergraduate Students’ Perspectives on Mathematical Creativity

      • Gulden Karakok, Gail Tang, Emily Cilli-Turner, Houssein El Turkey, V. Rani Satyam, Miloš Savić
      Pages 197-216

    6. The Role of Creativity in Teaching Mathematics Online

      • Ceire Monahan, Mika Munakata
      Pages 217-237

  5. Research Application, Implications, and Future Directions

    1. Front Matter

      Pages 239-239
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    2. Concluding Thoughts on Research: Application, Implications, and Future Directions

      • Scott A. Chamberlin
      Pages 241-248
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Keywords

About this book

This book is important and makes a unique contribution in the field of mathematics education and creativity. The book comprises the most recent research by renowned international experts and scholars, as well as a comprehensive up to date literature review. The developmental lens applied to the research presented makes it unique in the field. Also, this book provides a discussion of future directions for research to complement what is already known in the field of mathematical creativity. Finally, a critical discussion of the importance of the literature in relation to development of learners and accordingly pragmatic applications for educators is provided. 

Many books provide the former (2) foci, but omit the final discussion of the research in relation to developmental needs of learners in the domain of mathematics. Currently, educators are expected to implement best practices and illustrate how their adopted approaches are supported by research.  The authors and editors of this book have invested significant effort in merging theory with practice to further this field and develop it for future generations of mathematics learners, teachers and researchers.

Editors and Affiliations

  • University of Wyoming, Laramie, USA

    Scott A. Chamberlin

  • Simon Fraser University, Burnaby, Canada

    Peter Liljedahl

  • University of Oklahoma, Norman, USA

    Miloš Savić

About the editors

Scott A. Chamberlin is a mathematics and gifted educator and professor at the University of Wyoming. Having completed his Ph. D. at Purdue University, he invests research and scholarly efforts in student affect and creativity in mathematical problem solving episodes. Of particular importance to him is mathematical modeling given early efforts in his career with Drs. Richard Lesh and Judy Zawojewski. Scott’s most recent book (scheduled to be released in January 2021) pertains to the Five Legs Theory of Creativity in which he and colleague Eric Mann (Hope College) have devoted considerable time in explicating the relationship between mathematical creativity and mathematical affect.

Peter Liljedahl is a mathematics educator and professor at Simon Fraser University. Many of his scholarly efforts in recent years have pertained to teacher education, mathematical modeling, mathematical affect and Flow, as well as mathematical creativity. In particular, Peter deeply understands the intricacies of creativity in mathematics as well as the pragmatic effects on student learning. Peter is a former co-editor in the Research in Mathematics series, having worked with Patricio Felmer and Boris Koichu, on a recent (2019) book entitled, Problem Solving in Mathematics Instruction and Teacher Professional Development.

Miloš Savić is a mathematics educator and associate professor at the University of Oklahoma. His recent efforts in developing the Creativity in Progress Reflections with the Creativity Research Group (CRG) that will be utilized in this publication. The CRG is known in the mathematical creativity field as leaders in the tertiary level, including in proof-based courses. Their recent National Science Foundation grant has generated substantial understanding about mathematical identity and creativity at the calculus level.

Bibliographic Information

  • Book Title: Mathematical Creativity

  • Book Subtitle: A Developmental Perspective

  • Editors: Scott A. Chamberlin, Peter Liljedahl, Miloš Savić

  • Series Title: Research in Mathematics Education

  • DOI: https://doi.org/10.1007/978-3-031-14474-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-031-14473-8Published: 01 December 2022

  • Softcover ISBN: 978-3-031-14476-9Published: 02 December 2023

  • eBook ISBN: 978-3-031-14474-5Published: 30 November 2022

  • Series ISSN: 2570-4729

  • Series E-ISSN: 2570-4737

  • Edition Number: 1

  • Number of Pages: XIII, 250

  • Number of Illustrations: 12 b/w illustrations, 12 illustrations in colour

  • Topics: Mathematics Education, Mathematics, general, Creativity and Arts Education, Education, general

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