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Understanding the Mathematical Way of Thinking - The Registers of Semiotic Representations (Paperback, Softcover reprint of the original 1st ed. 2017)
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Understanding the Mathematical Way of Thinking - The Registers of Semiotic Representations (Paperback, Softcover reprint of the original 1st ed. 2017)
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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 Semiosis et pensee 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 Tania M. M. Campos, PHD.
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