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Interdisciplinary Perspectives on Math Cognition

  • Book
  • © 2019

Overview

Editors:
  1. Marcel Danesi

    1. University of Toronto, Cognitive Science Network, Fields Institute for Research in Mathematical Sciences, Toronto, Canada

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  • Includes contributions from some of the world's best-known researchers and scholars in the field, edited to be comprehensible for non-experts
  • Covers various perspectives employed to study math cognition, ranging from neuroscience to semiotics
  • Provides a truly interdisciplinary collection of work that will be of interest to an exceptionally wide variety of readers

Part of the book series: Mathematics in Mind (MATHMIN)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. From Biological Brain to Mathematical Mind: The Long-Term Evolution of Mathematical Thinking

    • David Tall
    Pages 1-28

  3. Compression and Decompression in Mathematics1

    • Mark Turner
    Pages 29-51

  4. How Technology Has Changed What It Means to Think Mathematically

    • Keith Devlin
    Pages 53-78

  5. Machine Versus Structure of Language via Statistical Universals

    • Kumiko Tanaka-Ishii
    Pages 79-97

  6. Number Work: Recovering the Original Complexity of Learning Arithmetic

    • Brent Davis
    Pages 99-118

  7. The Body of/in Proof: An Embodied Analysis of Mathematical Reasoning

    • Laurie D. Edwards
    Pages 119-139

  8. Math Puzzles as Learning Devices

    • Marcel Danesi
    Pages 141-153

  9. Diagrams in Mathematics: On Visual Experience in Peirce

    • Vitaly Kiryushchenko
    Pages 155-169

  10. Laws of Form, Peirce, and Cantor

    • Louis H. Kauffman
    Pages 171-193

  11. The Topology of Mathematics in the Mind and Its Interaction with Verbal and Written Language

    • Robert K. Logan, Izabella Pruska-Oldenhoff
    Pages 195-211

  12. Mathematical Fiction as an Interdisciplinary Source for Mathematics Courses: Resources and Recommendations

    • Frank Nuessel
    Pages 213-226

  13. Science, Magic, and the In-Between: Whence Logic

    • Inna Semetsky
    Pages 227-245

  14. Geometric Cognition

    • Walter Whiteley
    Pages 247-263

  15. Using Evidence to Close the Achievement Gap in Math

    • John Mighton
    Pages 265-276

  16. Knowledge Building, Mathematics, and Creative Thinking: An Overview on Ontario Elementary Mathematical Teaching Beyond Twenty-First-Century Skills

    • Miss Stacy A. Costa
    Pages 277-286

  17. Crypto-Mathematics in Ethnography: Estimation and Approximation via Ballparks and Eyeballing

    • Myrdene Anderson
    Pages 287-302

  18. “A Mathematician, a Physicist and an Engineer”: The Meaning of “M” in STEM

    • Dragana Martinovic
    Pages 303-313

  19. Why a Duck?: A Three-Part Essay on the Mathematics of Cognition

    • Yair Neuman
    Pages 315-320

  20. On Mathematical Ways of Knowing: Musings of a Humanistic Mathematician

    • Gizem Karaali
    Pages 321-332
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Keywords

About this book

This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding.

This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition. 





Reviews

“The book is dense with very well rounded research that provides the reader with a deep understanding of each body of research. I highly recommend this book for those interested in how math cognition works and to have new, insightful takeaways for additional research of your own making.” (Peter Olszewski, MAA Reviews, January 4, 2020)

Editors and Affiliations

  • University of Toronto, Cognitive Science Network, Fields Institute for Research in Mathematical Sciences, Toronto, Canada

    Marcel Danesi

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