Semiotics in Mathematics Education

Epistemology, History, Classroom, and Culture

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Current interest in semiotics is undoubtedly related to our increasing awareness that our manners of thinking and acting in our world are deeply indebted to a variety of signs and sign systems (language included) that surround us.
Since mathematics is something that we accomplish through written, oral, bodily and other signs, semiotics appears well suited to furthering our understanding of the mathematical processes of thinking, symbolizing and communicating. Resorting to different semiotic perspectives (e. g., Peirce’s, Vygotsky’s, Saussure’s), the authors of this book deal with questions about the teaching and learning of mathematics as well as the history and epistemology of the discipline. Mathematics discourse and thinking and the technologically-mediated self of mathematical cultural practices are examined through key concepts such as metaphor, intentionality, gestures, interaction, sign-use, and meaning.
The cover picture comes from Jacob Leupold’s (1727) Theatrum Arithmetico-Geometrico. It conveys the cultural, historical, and embodied aspects of mathematical thinking variously emphasized by the contributors of this book.

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Preliminary Material
著者: Luis Radford, Gert Schubring, and Falk Seeger
页码: i–x
Intentionality and Sign
A developmental perspective
著者: Falk Seeger
页码: 1–18
On the Semiotics of Gestures
著者: Cristina Sabena
页码: 19–38
Metaphor and Contingency
著者: Michael Otte
页码: 63–82
The Dawning of Signs in Graph Interpretation
著者: Wolff-Michael Roth
页码: 83–102
Trigonometric Connections through a Semiotic Lens
著者: Norma Presmeg
页码: 103–119
Symbolic Language Versus Understanding in Mathematics Education
A Brief Archaeological Investigation of Mathematics Education Discourse
著者: Mircea Radu
页码: 249–261
Index
著者: Luis Radford, Gert Schubring, and Falk Seeger
页码: 263–270
About the Contributors
著者: Luis Radford, Gert Schubring, and Falk Seeger
页码: 271–273
This book is addressed to mathematics educators, psychologists, educators, and students of mathematics education.
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