Semiotics As A Tool For Learning Mathematics
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Semiotics As A Tool For Learning Mathematics
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Author : Adalira Sáenz-Ludlow
language : en
Publisher: Springer
Release Date : 2015-12-17
Semiotics As A Tool For Learning Mathematics written by Adalira Sáenz-Ludlow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-17 with Education categories.
Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.
Semiotics In Mathematics Education
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Author : Norma Presmeg
language : en
Publisher: Springer
Release Date : 2016-04-11
Semiotics In Mathematics Education written by Norma Presmeg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Education categories.
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.
Language Practices In School Mathematics
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Author : Anne P. Chapman
language : en
Publisher:
Release Date : 2003
Language Practices In School Mathematics written by Anne P. Chapman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.
With a view to contributing to understanding the nature and role of language in mathematics education, this book examines spoken language practices. The book demonstrates that learning mathematics is very much a matter of learning to speak 'properly.' There is a pervasive and continual requirement, often hidden in everyday classroom practices, to shift towards increasingly mathematical language. The outcomes of the research reported here affirm the value of viewing language and mathematics learning from a social semiotic perspective and help further our understandings about the construction of a social semiotic theory of classroom education, both in school mathematics and across the curriculum.
Semiotics In Mathematics Education
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Author : Luis Radford
language : en
Publisher: Brill / Sense
Release Date : 2008
Semiotics In Mathematics Education written by Luis Radford and has been published by Brill / Sense this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
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.
Understanding The Mathematical Way Of Thinking The Registers Of Semiotic Representations
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Author : Raymond Duval
language : en
Publisher: Springer
Release Date : 2017-07-18
Understanding The Mathematical Way Of Thinking The Registers Of Semiotic Representations written by Raymond Duval and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-18 with Education categories.
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.
Signs Of Signification
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Author : Norma Presmeg
language : en
Publisher: Springer
Release Date : 2018-01-23
Signs Of Signification written by Norma Presmeg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-23 with Education categories.
This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.
Semiotics In Mathematics Education
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Author : Norma Presmeg
language : en
Publisher:
Release Date : 2016
Semiotics In Mathematics Education written by Norma Presmeg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
Educational Perspectives On Mathematics As Semiosis
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Author : Myrdene Anderson
language : en
Publisher: Legas Publishing
Release Date : 2003
Educational Perspectives On Mathematics As Semiosis written by Myrdene Anderson and has been published by Legas Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Literary Criticism categories.
Mathematics education research routinely receives the attention of educators, mathematicians, linguists, psychologists, anthropologists, and others. In this volume, the induction of students into mathematical meaning-making is studied through the prism of these several disciplines. What unites all such approaches to pedagogy and to the assessment of pegagogy- and to the subject matter of mathematics itself - is semiotics. Myrdene Anderson teaches at Purdue University, Adalira Saenz-Ludlow teaches at the U of North Carolina, Shea Zetlweger is former chair at Mount Union College, Ohio, Victor V. Cifarelli teaches at the U. ol North Carolina.
Semiotics Education Experience
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Author :
language : en
Publisher: BRILL
Release Date : 2010-01-01
Semiotics Education Experience written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Education categories.
“Semiotics Education Experience” is a collection of fifteen essays edited by Inna Semetsky that explores semiotic approaches to education: semiotics of teaching, learning, and curriculum; educational theory and philosophies of Dewey, Peirce, and Deleuze; education as political semiosis; logic and mathematics; visual signs; semiotics and complexity; semiotics and ethics of the self. This is a landmark collection of cross-disciplinary chapters by international scholars that mark out the appeal and significance of a semiotic approach to education. As Marcel Danesi reminds us in the Foreword, Vygotsky construed learning theory as the science of signs. Semetsky’'-s collection should be widely read by students and scholars in education, philosophy, futures studies, cultural studies, and related disciplines. It deserves the widest dissemination. Michael A Peters, Professor, University of Illinois at Urbana-Champaign; Editor, Educational Philosophy & Theory and Policy Futures in Education
Karl Marx And Mathematics
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Author : Pradip Baksi
language : en
Publisher: Routledge
Release Date : 2020-11-01
Karl Marx And Mathematics written by Pradip Baksi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-01 with Mathematics categories.
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).