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Interdisciplinary Perspectives on Ma...
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Danesi, Marcel.
Interdisciplinary Perspectives on Math Cognition
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Interdisciplinary Perspectives on Math Cognition/ edited by Marcel Danesi.
其他作者:
Danesi, Marcel.
面頁冊數:
VIII, 344 p. 105 illus., 4 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Neural networks (Computer science) . -
電子資源:
https://doi.org/10.1007/978-3-030-22537-7
ISBN:
9783030225377
Interdisciplinary Perspectives on Math Cognition
Interdisciplinary Perspectives on Math Cognition
[electronic resource] /edited by Marcel Danesi. - 1st ed. 2019. - VIII, 344 p. 105 illus., 4 illus. in color.online resource. - Mathematics in Mind,2522-5405. - Mathematics in Mind,.
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).
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. .
ISBN: 9783030225377
Standard No.: 10.1007/978-3-030-22537-7doiSubjects--Topical Terms:
1253765
Neural networks (Computer science) .
LC Class. No.: QA76.87
Dewey Class. No.: 519
Interdisciplinary Perspectives on Math Cognition
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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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