Interdisciplinary Perspectives on Math Cognition. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Marcel Danesi

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Danesi, Marcel.
• SpringerLink (Online service)

シリーズ名:

Mathematics in Mind ;

ISBN:

9783030225377 [3030225372]    

注記:

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)
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. .

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