This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phen...
Abstract—The pursuit of knowledge and the use of reason, based on sense and observation is a key ing...
This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the...
Mathematics and music in practice and performance, and in learning and teaching, share many characte...
Abstract: This paper synthesizes recent research from several disciplines, concerning the cognitive,...
This study is part of a broader research which will be found in future work, Psychology and epistemo...
This visionary and engaging book provides a mathematical perspective on the fundamental ideas of num...
Mathematical creativity is often considered as a mysterious phenomenon. Most mathematicians seem to ...
This article deals with the various different approaches to mathematics and the influence that these...
The concept “mathematical thinking” can be found in several studies of mathematics education, in nat...
I feel somewhat constrained in attempting to focus on the topic of theories of mathematical learning...
The present paper aims to propose a theoretical reflection in order to overcome a strong tradition i...
Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he con...
The evolution of different theories of cognition over the years has given mathematics education rese...
A study of the interactions between mathematics and cognitive science, carried out within a historic...
This is an anthology of contemporary studies from various disciplinary perspectives written by some ...
Abstract—The pursuit of knowledge and the use of reason, based on sense and observation is a key ing...
This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the...
Mathematics and music in practice and performance, and in learning and teaching, share many characte...
Abstract: This paper synthesizes recent research from several disciplines, concerning the cognitive,...
This study is part of a broader research which will be found in future work, Psychology and epistemo...
This visionary and engaging book provides a mathematical perspective on the fundamental ideas of num...
Mathematical creativity is often considered as a mysterious phenomenon. Most mathematicians seem to ...
This article deals with the various different approaches to mathematics and the influence that these...
The concept “mathematical thinking” can be found in several studies of mathematics education, in nat...
I feel somewhat constrained in attempting to focus on the topic of theories of mathematical learning...
The present paper aims to propose a theoretical reflection in order to overcome a strong tradition i...
Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he con...
The evolution of different theories of cognition over the years has given mathematics education rese...
A study of the interactions between mathematics and cognitive science, carried out within a historic...
This is an anthology of contemporary studies from various disciplinary perspectives written by some ...
Abstract—The pursuit of knowledge and the use of reason, based on sense and observation is a key ing...
This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the...
Mathematics and music in practice and performance, and in learning and teaching, share many characte...