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Interdisciplinary perspectives on ma...

Danesi, Marcel.

Interdisciplinary perspectives on math cognition

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interdisciplinary perspectives on math cognitionedited by Marcel Danesi.
other author:	Danesi, Marcel.
Published:	Cham :Springer International Publishing :2019.
Description:	viii, 344 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	MathematicsStudy and teaching
Online resource:	https://doi.org/10.1007/978-3-030-22537-7
ISBN:	9783030225377$q(electronic bk.)

Interdisciplinary perspectives on math cognition
Interdisciplinary perspectives on math cognition[electronic resource] /edited by Marcel Danesi. - Cham :Springer International Publishing :2019. - viii, 344 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

Standard No.: 10.1007/978-3-030-22537-7doiSubjects--Topical Terms:

396798
Mathematics
--Study and teaching

LC Class. No.: QA11.2 / .I584 2019

Dewey Class. No.: 510.71

Interdisciplinary perspectives on math cognition
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505 0 $a 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)
520 $a 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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650 2 4 $a Mathematics Education. $3 274700
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