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.
Understanding The Mathematical Way Of Thinking The Registers Of Semiotic Representations
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Author : Raymond Duval
language : en
Publisher: Springer
Release Date : 2018-08-12
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 2018-08-12 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.
Activity And Sign
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Author : Michael H.G. Hoffmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-06
Activity And Sign written by Michael H.G. Hoffmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-06 with Education categories.
The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future. This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.
Meaning In Mathematics Education
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Author : Jeremy Kilpatrick
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Meaning In Mathematics Education written by Jeremy Kilpatrick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Education categories.
What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
Visualisation And Epistemological Access To Mathematics Education In Southern Africa
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Author : Marc Schäfer
language : en
Publisher: Taylor & Francis
Release Date : 2023-04-27
Visualisation And Epistemological Access To Mathematics Education In Southern Africa written by Marc Schäfer and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-27 with Education categories.
This book demonstrates that using visualisation processes in mathematics education can help to enhance teaching and learning and bridge the inequality gap that exists between well-resourced and under-resourced schools in Southern Africa. Drawing on classroom research conducted in the Southern African region, it examines how epistemological access in a context of gross inequality can be constructively addressed by providing research-based solutions and recommendations. The book outlines the visualisation process as an integral but often overlooked process of mathematics teaching and learning. It goes beyond the traditional understanding of visualisation processes such as picture forming and using tools and considers visualisation processes that are semiotic in nature and includes actions such as gestures in combination with language. It adds value to the visualisation in mathematics education research discourse and deliberation in Africa. With a unique focus on Southern Africa and open avenues for further research and collaboration in the region, it will be a highly relevant reading for researchers, academics and post-graduate students of mathematics education, comparative education and social justice education.
Semiotic Approaches In Science Didactics
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Author : Catherine Houdement
language : en
Publisher: John Wiley & Sons
Release Date : 2022-11-01
Semiotic Approaches In Science Didactics written by Catherine Houdement and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-01 with Mathematics categories.
The sciences are, in essence, highly semiotized. Our ways of thinking and communicating about science are based on permanent transformations from one system of signs to another, such as scriptural, graphic, symbolic, oral and gestural signs. The semiotic focus studied in this book makes it possible to grasp part of the complexity of teaching and learning phenomena by focusing on the variety of possible interpretations of the signs that circulate within the science classroom. Semiotic Approaches in Science Didactics brings together contributions from didactic research involving various disciplines such as mathematics, chemistry, physics and geography, which mobilize different types of semiotic support. It offers the key to understanding and even reducing some of the misunderstandings that can arise between a speaker and a receiver in scientific teaching situations.
Handbook Of Cultural Studies And Education
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Author : Peter Pericles Trifonas
language : en
Publisher: Routledge
Release Date : 2018-11-15
Handbook Of Cultural Studies And Education written by Peter Pericles Trifonas and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-15 with Education categories.
The Handbook of Cultural Studies in Education brings together interdisciplinary voices to ask critical questions about the meanings of diverse forms of cultural studies and the ways in which it can enrich both education scholarship and practice. Examining multiple forms, mechanisms, and actors of resistance in cultural studies, it seeks to bridge the gap between theory and practice by examining the theme of resistance in multiple fields and contested spaces from a holistic multi-dimensional perspective converging insights from leading scholars, practitioners, and community activists. Particular focus is paid to the practical role and impact of these converging fields in challenging, rupturing, subverting, and changing the dominant socio-economic, political, and cultural forces that work to maintain injustice and inequity in various educational contexts. With contributions from international scholars, this handbook serves as a key transdisciplinary resource for scholars and students interested in how and in what forms Cultural Studies can be applied to education.
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 Of Programming
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Author : Kumiko Tanaka-Ishii
language : en
Publisher: Cambridge University Press
Release Date : 2010-03-22
Semiotics Of Programming written by Kumiko Tanaka-Ishii and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-22 with Computers categories.
Considers what computers can and cannot do, analysing how computer sign systems compare to humans through a concept of reflexivity.
Semiotics Education Experience
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Author : Inna Semetsky
language : en
Publisher:
Release Date : 2010
Semiotics Education Experience written by Inna Semetsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 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 "With her latest collection, Inna Semetsky has once again deftly organized a series of nuanced reflections on semiotics and pedagogical issues that touch upon vital philosophical, political, communicational, visual and interdisciplinary matters of enduring relevance." - Gary Genosko, Editor, The Semiotic Review of Books and Canada Research Chair, Lakehead University.