Synopses & Reviews
Synopsis
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).