Understanding the mathematical way of thinking
the registers of semiotic representations
Springer
2017
Abstract
In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions:
• Why use a semio-cognitive analysis of the mathematical activity to teach mathematics
• How to distinguish the different types of registers
• How to organize learning tasks and activities which take into account the registers of representation
• How to make an analysis of the students' production in terms of registers
"Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval's cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes."
Professor Tânia M. M. Campos, PHD.
