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  • © 2020

Adventures of Mind and Mathematics

  • Presents a transactional approach to the question of mind mathematics, thus overcoming the body-mind dualism that exists even in embodiment and enactivist approaches
  • Provides an alternative to common issues in theories of mathematical knowing and learning
  • Uses empirical examples throughout, grounding discussions in real events

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

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Softcover Book USD 139.99
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Hardcover Book USD 139.99
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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
  2. Part I

    1. Front Matter

      Pages 1-4
    2. Toward an Organismic Theory of Mind

      • Wolff-Michael Roth
      Pages 5-29
    3. Primacy of Events

      • Wolff-Michael Roth
      Pages 31-57
  3. Part II

    1. Front Matter

      Pages 59-64
    2. Mathematical Thinking as Event

      • Wolff-Michael Roth
      Pages 65-89
    3. On Signifier Things and Signing-as-Event

      • Wolff-Michael Roth
      Pages 91-117
    4. When Does Mathematical Form Make Sense?

      • Wolff-Michael Roth
      Pages 119-144
    5. Genesis of Mathematical Reasoning

      • Wolff-Michael Roth
      Pages 145-169
    6. Affect in the Mathematical Mind

      • Wolff-Michael Roth
      Pages 171-194
  4. Part III

    1. Front Matter

      Pages 195-198
    2. The Thinking Body of Mathematics

      • Wolff-Michael Roth
      Pages 199-223
    3. Experience, Mathe matics, and Mind

      • Wolff-Michael Roth
      Pages 225-253
  5. Back Matter

    Pages 255-260

About this book

This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educationaltheory and/or social development, or with a broad background in psychology.

Authors and Affiliations

  • Faculty of Education, University of Victoria, Victoria, Canada

    Wolff-Michael Roth

Bibliographic Information

  • Book Title: Adventures of Mind and Mathematics

  • Authors: Wolff-Michael Roth

  • Series Title: Mathematics in Mind

  • DOI: https://doi.org/10.1007/978-3-030-51809-7

  • Publisher: Springer Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-51808-0Published: 25 August 2020

  • Softcover ISBN: 978-3-030-51811-0Published: 25 August 2021

  • eBook ISBN: 978-3-030-51809-7Published: 24 August 2020

  • Series ISSN: 2522-5405

  • Series E-ISSN: 2522-5413

  • Edition Number: 1

  • Number of Pages: XI, 260

  • Number of Illustrations: 26 b/w illustrations, 87 illustrations in colour

  • Topics: Mathematics, general, Philosophy of Mathematics

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access