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Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations

2017-07-18 Education
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Release : 2017-07-18
Genre : Education
Kind : eBook
Book Rating : 104/5 ( reviews)

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Book Synopsis Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations by : Raymond Duval

Download or read book Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations written by Raymond Duval. This book was released on 2017-07-18. Available in PDF, EPUB and Kindle. Book excerpt: 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 Sémiosis et pensée 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 Tânia M. M. Campos, PHD.

Multimodal Narratives in Research and Teaching Practices

2019-02-01 Education
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Release : 2019-02-01
Genre : Education
Kind : eBook
Book Rating : 710/5 ( reviews)

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Book Synopsis Multimodal Narratives in Research and Teaching Practices by : Lopes, J. Bernardino

Download or read book Multimodal Narratives in Research and Teaching Practices written by Lopes, J. Bernardino. This book was released on 2019-02-01. Available in PDF, EPUB and Kindle. Book excerpt: While already validated by the scientific community, multimodal narratives have the potential for a broader application, especially for improved teaching practices from a professional or a theoretical point of view. Applying multimodal narratives within professional development courses creates a focus on the teaching practices rather than the content itself. Multimodal Narratives in Research and Teaching Practices provides educator and researcher perspectives on the use of multimodal narratives as a tool to reflect and improve teaching practices. Covering such topics as professional development, online learning, and teacher education, this publication is designed for educators, academicians, administrators, and researchers.

Semiotics in Mathematics Education

2016-04-11 Education
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Release : 2016-04-11
Genre : Education
Kind : eBook
Book Rating : 703/5 ( reviews)

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Book Synopsis Semiotics in Mathematics Education by : Norma Presmeg

Download or read book Semiotics in Mathematics Education written by Norma Presmeg. This book was released on 2016-04-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners. Therefore, in several traditional frameworks, semiotics has the potential to serve as a powerful conceptual lens in investigating diverse topics in mathematics education research. Topics that are implicated include (but are not limited to): the birth of signs; embodiment, gestures and artifacts; segmentation and communicative fields; cultural mediation; social semiotics; linguistic theories; chains of signification; semiotic bundles; relationships among various sign systems; intersubjectivity; diagrammatic and inferential reasoning; and semiotics as the focus of innovative learning and teaching materials.

Technology-Assisted Guided Discovery to Support Learning

2021-02-23 Mathematics
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Release : 2021-02-23
Genre : Mathematics
Kind : eBook
Book Rating : 379/5 ( reviews)

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Book Synopsis Technology-Assisted Guided Discovery to Support Learning by : Lisa Göbel

Download or read book Technology-Assisted Guided Discovery to Support Learning written by Lisa Göbel. This book was released on 2021-02-23. Available in PDF, EPUB and Kindle. Book excerpt: Technology is becoming more and more integrated in mathematics teaching and the use of technology is explicitly demanded by the curricula. Technology can be for example integrated while conceptualizing parameters of quadratic functions. In this thesis three technical visualizations (classic function plotter, drag mode, and sliders) for the manipulation of parameters of quadratic functions shall be compared with an access without the possibility of technical visualization. For this purpose, a Guided Discovery environment was developed, which was conducted in an intervention study with 14 classes of grade 9 (N=383). Different strengths and weaknesses of the individual visualizations in favor of the dynamic visualizations by drag mode and slider are shown. Also, different potentials and constraints of the use of technology are visible, for example the students use the technology to test their own hypotheses that were generated through the use of technology. The author Lisa Göbel completed her dissertation as a research assistant under Prof. Dr. Bärbel Barzel in the Mathematics Education department at the University of Duisburg-Essen. Her interests include functional thinking and the use of technology in mathematics teaching.

Karl Marx and Mathematics

2020-11-01 Mathematics
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Release : 2020-11-01
Genre : Mathematics
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Book Rating : 185/5 ( reviews)

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Book Synopsis Karl Marx and Mathematics by : Pradip Baksi

Download or read book Karl Marx and Mathematics written by Pradip Baksi. This book was released on 2020-11-01. Available in PDF, EPUB and Kindle. Book excerpt: This collection of various texts on Karl Marx and Mathematics is the revised and extended second edition of the Special Supplement to Karl Marx, Mathematical Manuscripts (1994; Calcutta: Viswakos) titled Marx and Mathematics. The sources of the texts included in the three parts of this collection and, some biographical information about their respective authors have been indicated at the end of each text. The emergence and development of the Ethnomathematics movement continue to change our understanding of the history of evolution of plural mathematics on planet earth since the Neolithic age. Rediscovery and study of some of the neglected source texts have further energized investigations on the subsequent history of mathematical cultures, including those on the histories of algebra and analysis in some of the ancient and medieval languages of Asia, like Sanskrit, Arabic and Malayalam. Consequently, it is now possible to indicate some of the larger gaps in the dominant understanding of history of mathematics not only in Marx’s time, but also at the time of editing Marx’s mathematical manuscripts in the twentieth century, and even today. Finally, the emergence and development of mathematical and statistical software packages are vigorously reshaping our ways of conceptualizing and doing mathematics towards an unknown future. It is time now for taking yet another look at all mathematical text from the past and that includes the mathematical manuscripts of Marx. These texts have been divided into three parts. Part one contains some topical texts related to the history of emergence, development, editing, publication and reception of the mathematical manuscripts of Karl Marx. Part two contains a selection of five articles reflecting some of the investigations inspired by these manuscripts in Russia, India and France. Part three contains five articles on plural mathematics before and after Karl Marx (1818-1883). The texts in this collection are followed by two appendices containing two bibliographies: one on Hegel and mathematics and, the other on mathematics and semiotics. Please note: This title is co-published with Aakar Books, Bew Delhi. Taylor & Francis does not sell or distribute the print edition in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan, Maldives or Bhutan).

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