Mind in Mathematics:
Essays on Mathematical Cognition and Mathematical Method
Mariana Bockarova (Harvard University )
Marcel Danesi (University of Toronto)
Dragana Martinovic (University of Windsor)
Rafael Núñez (University of California, San Diego) (eds.)
This volume brings together key essays by mathematicians, cognitive scientists, neuroscientists, semioticians, and educators on the nature of mathematical thought and how it unfolds in relation to language and other codes. Topics such as the role of analogy and metaphor, as well as inferential (abductive) thinking, are examined through several interdisciplinary lenses. The goal of this volume is to establish a “hermeneutic” field of study in mathematical cognition that aims to understand how mathematics dovetails with other human faculties.
TABLE OF CONTENTS
Introduction
Mariana Bockarova, Marcel Danesi, Dragana Martinovic, Rafael Núnez
Mind in Mathematics: Studying Mathematical Cognition and Method with Interdisciplinary Tools
Brent Davis
Where Mathematics Curriculum Comes From
Louis Kauffman
Knot Logic: Logical Connection and Topological Connection
Donna Kotsopoulos, Joanna Zambrzycka, Samantha Makosz
Mommies, Mathematics, and Mathematically Mindful Mothering
Luis Radford
Rhythm as an Integral Part of Mathematical Thinking
Marcel Danesi
Math in the Brain: Neuroscientific Perspectives of Mathematical Cognition
Yair Neuman
On Concrete Cats and Abstract Minds: A Note on the Logic of Abstraction and the Construction of Numbers
John Mighton
All Things Being Equal: Using Evidence Based Approaches to Close the Achievement Gap in Math
Dragana Martinovic
Digital Technologies and Mathematical Minds
Robert K. Logan
The Relativity of Information: Shannon’s Mathematical Formula, Figure/Ground and the Importance of Context and Interpretation
Gizem Karaali
Can Zombies Do Math?
Inna Semetsky
Interpreting Peirce’s Abduction through the Lens of Mathematics
Stéphanie Walsh Matthews and Jamin Pelkey
Seeing Mathematics
Mariana Bockarova
The Effect of Teacher Math Anxiety on Teaching Practices: A Case Study
Stacy Costa
Exploring Student “Math Talk” in 21st Century Classrooms
Mariana Bockarova, Stacy Costa, Marcel Danesi
On the Methods of Proof: A Textual Perspective
ISBN 9783862885350 (Hardbound). Interdisciplinary Studies on the Nature in Mathematics 03. 214pp. 2015.
