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Understanding the Mathematical Way of Thinking - The Registers of Semiotic Representations Softcover Repri Edition
Contributor(s): Duval, Raymond (Author)
ISBN: 331986033X     ISBN-13: 9783319860336
Publisher: Springer
OUR PRICE:   $151.99  
Product Type: Paperback - Other Formats
Published: August 2018
Qty:
Additional Information
BISAC Categories:
- Education | Teaching Methods & Materials - Mathematics
- Education | Professional Development
- Education | Educational Psychology
Dewey: 370
Physical Information: 0.31" H x 6.14" W x 9.21" (0.47 lbs) 117 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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:

- How to situate the registers of representation regarding the other semiotic "theories"

- 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

Building upon the contributions he first presented in his classic book S miosis et pens e humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry.

"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 T nia M. M. Campos, PHD.