Mathematics and Education in an AI Era: Cognitive Science, Technological, and Semiotic Perspectives

by Dragana Martinovic (Editor), Marcel Danesi (Editor)

Overview

This book focuses on the potential contributions of Artificial Intelligence (AI) for enhancing mathematics education. It includes rationales for an AI-oriented pedagogical model, such as interdisciplinarity and even sensitivity to crucial world issues, such as climate change.

The chapters in this book highlight what the new age of mathematics education entails concretely, covering themes from the utilization of AI directly into classroom pedagogy and the semiotic consequences of what this entails, to how mathematics training can be tailored to get students to relate concretely to problems of climate change, and to understand the relevance of the differences between symmetry and asymmetry as psychological constructs. The overall picture we can glean from these chapters is not mere eclecticism, but an integration of disciplinary perspectives into a holistic framework that has great relevance and resonance for mathematics education in the age of AI.

Product Details

ISBN-13:	9783031806957
Publisher:	Springer Nature Switzerland
Publication date:	04/26/2025
Series:	Mathematics in Mind
Pages:	173
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Dragana Martinovic is a Professor Emerita at the Faculty of Education, University of Windsor. She is a Fellow of the Fields Institute for Research in Mathematical Sciences and served as the founding and former Co-Director of the Fields Centre for Mathematics Education until 2024. Additionally, she is a founding and current Co-Editor of the Springer book series, Mathematics Education in the Digital Era. Dragana is involved in several editorial roles, serving on the Editorial Boards of Brill’s Studies in Mathematics in the Arts and Humanities book series, Springer’s Mathematics in Mind book series, as well as journals such as Participatory Educational Research (PER) and Semiotica. She also chairs the GeoGebra Institute of Canada (GIC-IGC).

Dragana’s research focuses on the knowledge required for teaching mathematics, the ways in which technology can enhance mathematics teaching and learning, and the epistemologies of Science, Technology, Engineering, and Mathematics (STEM) in relation to teacher and K–12 education.

Marcel Danesi is Professor Emeritus of Anthropology at the University of Toronto. He has written extensively on the relation between mathematics and symbol systems, including how puzzles and problems in mathematics are part of a more general dialectic frame of mind for grasping the nature of reality. Among his works in the field are Language and Mathematics (2018) and Ahmes’ Legacy (2020). He also founded the CogSci Network at the Fields Institute for Research in Mathematical Sciences, which consists of internationally renowned researchers in the field of cognitive mathematics.

Table of Contents

Preface.- Introduction.- Ahead of the Curve, or Hehind? Teaching Students that Math Is a Start-Up.- AI and Mathematical Understanding: ChaptGPT Goes to School.- Computo, Ergo Sum: Teaching and Learning Mathematics in the Age of ChatGPT.- Math as a Cure: A Semiotic Perspective.- Reasoning, Argumentation and Mathematical Learning: How ChatGPT and AI Can Knowledge Build.- Mathematical Group Cognition in the Anthropocene.- Lewis Carroll's Puzzle-Based Approach to Teaching Mathematics: What Can We Learn from It Today?.- Teaching Symmetry and Asymmetry: A Cross-Disciplinary Approach.- Some Pedagogic Potential for the Theorem Prover Lean.