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 |  | 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 | doi | https://doi.org/10.1007/978-3-319-56910-9 | isbn_softcover | 978-3-319-86033-6 | isbn_ebook | 978-3-319-56910-9 | copyright | Springer International Publishing AG 2017 |
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