Danesi M. (Ed.) Interdisciplinary Perspectives on Math Cognition

Springer, 2019. — 343 p. — (Mathematics in Mind). — ISBN: 978-3-030-22536-0.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.From Biological Brain to Mathematical Mind: The Long-Term Evolution of Mathematical Thinking
Compression and Decompression in Mathematics1
How Technology Has Changed What It Means to Think Mathematically
Machine Versus Structure of Language via Statistical Universals
Number Work: Recovering the Original Complexity of Learning Arithmetic
The Body of/in Proof: An Embodied Analysis of Mathematical Reasoning
Math Puzzles as Learning Devices
Diagrams in Mathematics: On Visual Experience in Peirce
Laws of Form, Peirce, and Cantor
The Topology of Mathematics in the Mind and Its Interaction with Verbal and Written Language
Mathematical Fiction as an Interdisciplinary Source for Mathematics Courses: Resources and Recommendations
Science, Magic, and the In-Between: Whence Logic
Geometric Cognition
Using Evidence to Close the Achievement Gap in Math
Knowledge Building, Mathematics, and Creative Thinking: An Overview on Ontario Elementary Mathematical Teaching Beyond Twenty-First-Century Skills
Crypto-Mathematics in Ethnography: Estimation and Approximation via Ballparks and Eyeballing
“A Mathematician, a Physicist and an Engineer”: The Meaning of “M” in STEM
Why a Duck?: A Three-Part Essay on the Mathematics of Cognition
On Mathematical Ways of Knowing: Musings of a Humanistic Mathematician
Epilogue: So, What Is Math Cognition?