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Titlebook: Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations; Raymond Duval Book 2017 Springer International

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发表于 2025-3-21 17:26:52 | 显示全部楼层 |阅读模式
书目名称Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations
编辑Raymond Duval
视频video
概述Presents a new way to teach and learn mathematics.Provides a method for teachers to use the registers of semiotic representations theory in their everyday work at the classroom.Explains how to develop
图书封面Titlebook: Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations;  Raymond Duval Book 2017 Springer International
描述.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 pr
出版日期Book 2017
关键词Mathematics education; Semiotics in mathematics education; Teaching methods in mathematics education; N
版次1
doihttps://doi.org/10.1007/978-3-319-56910-9
isbn_softcover978-3-319-86033-6
isbn_ebook978-3-319-56910-9
copyrightSpringer International Publishing AG 2017
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Registers of Semiotic Representations and Analysis of the Cognitive Functioning of Mathematical Thihinking. It first explains how these registers operate in the kind of thinking that requires the use of natural languages and the different types of discursive operations. After that, it discusses the specificities of geometrical figures regarding the registers of semiotic representations.
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The Registers: Method of Analysis and Identification of Cognitive Variables, recognize the meaning units mathematically relevant in the content of a representation, how to identify the cognitive operations involved in establishing correspondences between different representations and how to analyze classroom activities and students’ productions taking into account the didac
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Book 2017ough 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 o
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Raymond Duvalechter sicher sind, daß sie mit jedem anderen Kraftwerk, sei es mit spaltbarem oder fossilem Brennstoff betrieben, konkurrenzfähig gemacht werden können. Demnächst wird England in die zweite Phase seines Kernenergiepro­ grammes eintreten. Gegenwärtig wird das Problem untersucht, welcher Reaktortyp (oder welch978-3-663-06680-4978-3-663-07593-6
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Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations
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