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E-grāmata: Interdisciplinary Perspectives on Math Cognition

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  • Formāts: PDF+DRM
  • Sērija : Mathematics in Mind
  • Izdošanas datums: 14-Sep-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030225377
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Interdisciplinary Perspectives on Math CognitionPalielināt
  • Formāts: PDF+DRM
  • Sērija : Mathematics in Mind
  • Izdošanas datums: 14-Sep-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030225377
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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. 


Recenzijas

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)

1. From Biological Brain to Mathematical Mind: The Long-Term Evolution
of Mathematical Thinking (D. Tall).-
2. Compression and Decompression in
Mathematics (M. Turner).- 3. How Technology Has Changed What It Means to
Think Mathematically (K. Devlin).-
4. Machine vs. Structure of Language Via
Statistical Universals (K. Tanaka-Ishii).-
5. Number Work: Recovering the
Original Complexity of Learning Arithmetic (B. Davis).-
6. The Body of/in
Proof: An Embodied Analysis of Mathematical Reasoning (L. Edwards).-
7. Math
Puzzles and Learning Devices (M. Danesi).-
8. Diagrams in Mathematics: On
Visual Experience in Peirce (V. Kiryushchenko).-
9. Laws of Form, Peirce and
Cantor (L. Kauffman).-
10. The Topology of Mathematics in the Mind and its
Interaction with Verbal and Written Language (R.K. Logan, I.P. Oldenhoff).-
11. Mathematical Fiction as an Interdisciplinary Source for Mathematics
Courses: Resources and Recommendations (F. Nuessel).- 12. Science, Magic, and
the In-Between: Whence Logic (I. Semetsky).-
13. Geometric Cognition (W.
Whiteley).-
14. Using Evidence to Close the Achievement Gap in Math (J.
Mighton).- 15. Knowledge Building, Mathematics and Creative Thinking: An
Overview on Ontario Elementary Mathematical Teaching Beyond 21st Century
Skills (S. Costa).-
16. Crypto-Mathematics in Ethnography: Estimation and
Approximation via Ballparks adn Eyeballing (M. Anderson).-
17. A
Mathematician, A Physicist and an Engineer: The Meaning of "M" in Stem (D.
Martinovic).-
18. Why a Duck? A Three-Part Essay on the Mathematics of
Cognition (Y. Neuman).-
19. On Mathematical Ways of Knowing: Ramblings of a
Humanistic Mathematician (G. Karaali).-
20. Epilogue: So What is Math
Cognition? (M. Danesi).
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