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Semiotics As A Tool For Learning Mathematics
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Book Synopsis Semiotics as a Tool for Learning Mathematics by : Adalira Sáenz-Ludlow
Download or read book Semiotics as a Tool for Learning Mathematics written by Adalira Sáenz-Ludlow and published by Springer. This book was released on 2015-12-17 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Semiotics in Mathematics Education by : Norma Presmeg
Download or read book Semiotics in Mathematics Education written by Norma Presmeg and published by Springer. This book was released on 2016-04-11 with total page 45 pages. 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.
Book Synopsis Signs of Signification by : Norma Presmeg
Download or read book Signs of Signification written by Norma Presmeg and published by Springer. This book was released on 2018-01-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 and published by Springer. This book was released on 2017-07-18 with total page 133 pages. 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.
Book Synopsis Symbolizing and Communicating in Mathematics Classrooms by : Paul Cobb
Download or read book Symbolizing and Communicating in Mathematics Classrooms written by Paul Cobb and published by Routledge. This book was released on 2012-11-12 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretical perspectives including mathematics education, cognitive science, sociocultural theory, and discourse theory. The work is distinguished by the caliber of the contributors, the significance of the topics addressed in the current era of reform in mathematics education, and the diversity of perspectives taken to a common set of themes and issues. The book is intended for those who are seeking to expand their understanding of the complexity of learning in order to enhance the learning experiences students have in schools, primarily researchers, instructional designers, and graduate students in mathematics education, as well as those in other fields including science education, instructional design in general, discourse theory, and semiotics.
Author :Michael H.G. Hoffmann Publisher :Springer Science & Business Media ISBN 13 :0387242708 Total Pages :383 pages Book Rating :4.3/5 (872 download)
Book Synopsis Activity and Sign by : Michael H.G. Hoffmann
Download or read book Activity and Sign written by Michael H.G. Hoffmann and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Meaning in Mathematics Education by : Jeremy Kilpatrick
Download or read book Meaning in Mathematics Education written by Jeremy Kilpatrick and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Semiotics in Mathematics Education by :
Download or read book Semiotics in Mathematics Education written by and published by BRILL. This book was released on 2008-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Karl Marx and Mathematics by : Pradip Baksi
Download or read book Karl Marx and Mathematics written by Pradip Baksi and published by Routledge. This book was released on 2020-11-01 with total page 259 pages. 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).
Book Synopsis Semiotic Theory of Learning by : Andrew Stables
Download or read book Semiotic Theory of Learning written by Andrew Stables and published by Routledge. This book was released on 2018-05-15 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiotic Theory of Learning asks what learning is and what brings it about, challenging the hegemony of psychological and sociological constructions of learning in order to develop a burgeoning literature in semiotics as an educational foundation. Drawing on theoretical research and its application in empirical studies, the book attempts to avoid the problematization of the distinction between theory and practice in semiotics. It covers topics such as signs, significance and semiosis; the ontology of learning; the limits of learning; ecosemiotics; ecology and sexuality. The book is written by five of the key figures in the semiotics field, each committed to the belief that living is a process of interaction through acts of signification with a signifying environment. While the authors are agreed on the value of semiotic frameworks, the book aims not to present an entirely coherent line in every respect, but rather to reflect ongoing scholarship and debates in the area. In light of this, the book offers a range of possible interpretations of major semiotic theorists, unsettling assumptions while offering a fresh, and still developing, series of perspectives on learning from academics grounded in semiotics. Semiotic Theory of Learning is a timely and valuable text that will be of great interest to academics, researchers and postgraduates working in the fields of educational studies, semiotics, psychology, philosophy, applied linguistics and media studies.
Book Synopsis Invited Lectures from the 13th International Congress on Mathematical Education by : Gabriele Kaiser
Download or read book Invited Lectures from the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2018-02-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Book Synopsis Semiotic Approaches in Science Didactics by : Catherine Houdement
Download or read book Semiotic Approaches in Science Didactics written by Catherine Houdement and published by John Wiley & Sons. This book was released on 2022-10-18 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Handbook of Cultural Studies and Education by : Peter Pericles Trifonas
Download or read book Handbook of Cultural Studies and Education written by Peter Pericles Trifonas and published by Routledge. This book was released on 2018-11-15 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Visualisation and Epistemological Access to Mathematics Education in Southern Africa by : Marc Schäfer
Download or read book Visualisation and Epistemological Access to Mathematics Education in Southern Africa written by Marc Schäfer and published by Taylor & Francis. This book was released on 2023-04-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Engaging Learners with Semiotics by : Ruth Gannon-Cook
Download or read book Engaging Learners with Semiotics written by Ruth Gannon-Cook and published by BRILL. This book was released on 2020-11-09 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Listen to the presentation of this book! Semiotics has explained the cognitive mechanisms of a complex, subtle and important phenomenon affecting all human interactions and communications across socio-cultural, socio-economic groups. Semiotics has captured a durable and enriching functionality from multiple disciplines including psychology, anthropology, sociology, philosophy, marketing and their multidisciplinary off-spring, such as, educational psychology, consumer psychology, visual literacy, media studies, etc. Semiotic treatises have explored critical factors affecting the relationship between any intended message and the message recipient’s interpretation. The factors that shape interpretation inherently affect learning and often directly affect learner engagement with the content. Learning environments have been culturally-laden communication experiences which academics, largely segmented by discipline, have described but often cloaked in semiotic jargon. Each chapter integrates example after example of semiotics in everyday activities and events, such as stories, graphics, movies, games, infographics, and educational strategies. The chapters also present the most salient semiotic features for learning environments. The book describes semiotics as a communications phenomenon with practical implications for educators to enhance courses and programs with semiotic features in any educational environment but especially in mediated e-learning environments.
Book Synopsis Semiotics in Information Systems Engineering by : Kecheng Liu
Download or read book Semiotics in Information Systems Engineering written by Kecheng Liu and published by Cambridge University Press. This book was released on 2000-05-11 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiotics, the science of signs, has long been recognised as an important discipline for understanding information and communications. Moreover it has found wide application in other areas of computer science, as it offers an effective insight into organisations and the computer systems that support them. An organisation may be viewed as a system of information and communication in which human actors, with the assistance of information technology, are able to process, represent, store and consume information. Computer systems that fit into an organisation and that support and enhance its performance and competitiveness, can be better delivered if semiotic principles are understood and applied. In this book, first published in 2000, semiotic methods are introduced and illustrated through three major case studies, which demonstrate how information systems can be developed to meet business requirements and support business objectives. It will appeal to academics, systems developers and analysts.
Book Synopsis Semiotics of Programming by : Kumiko Tanaka-Ishii
Download or read book Semiotics of Programming written by Kumiko Tanaka-Ishii and published by Cambridge University Press. This book was released on 2010-03-22 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers what computers can and cannot do, analysing how computer sign systems compare to humans through a concept of reflexivity.
