Mathematical Representation At The Interface Of Body And Culture
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Mathematical Representation At The Interface Of Body And Culture
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Author : Wolff-Michael Roth
language : en
Publisher: IAP
Release Date : 2009-06-01
Mathematical Representation At The Interface Of Body And Culture written by Wolff-Michael Roth and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Education categories.
Over the past two decades, the theoretical interests of mathematics educators have changed substantially—as any brief look at the titles and abstracts of articles shows. Largely through the work of Paul Cobb and his various collaborators, mathematics educators came to be attuned to the intricate relationship between individual and the social configuration of which she or he is part. That is, this body of work, running alongside more traditional constructivist and psychological approaches, showed that what happens at the collective level in a classroom both constrains and affords opportunities for what individuals do (their practices). Increasingly, researchers focused on the mediational role of sociomathematical norms and how these emerged from the enacted lessons. A second major shift in mathematical theorizing occurred during the past decade: there is an increasing focus on the embodied and bodily manifestation of mathematical knowing (e.g., Lakoff & Núñez, 2000). Mathematics educators now working from this perspective have come to their position from quite different bodies of literatures: for some, linguistic concerns and mathematics as material praxis lay at the origin for their concerns; others came to their position through the literature on the situated nature of cognition; and yet another line of thinking emerged from the work on embodiment that Humberto Maturana and Francisco Varela advanced. Whatever the historical origins of their thinking, mathematics educators taking an embodiment perspective presuppose that it is of little use to think of mathematical knowing in terms of transcendental concepts somehow recorded in the brain, but rather, that we need to conceptual knowing as mediated by the human body, which, because of its senses, is at the origin of sense. One of the question seldom asked is how the two perspectives, one that focuses on the bodily, embodied nature of mathematical cognition and the other that focuses on its social nature, can be thought together. This edited volume situates itself at the intersection of theoretical and focal concerns of both of these lines of work. In all chapters, the current culture both at the classroom and at the societal level comes to be expressed and provides opportunities for expressing oneself in particular ways; and these expressions always are bodily expressions of body-minds. As a collective, the chapters focus on mathematical knowledge as an aspect or attribute of mathematical performance; that is, mathematical knowing is in the doing rather than attributable to some mental substrate structured in particular ways as conceived by conceptual change theorists or traditional cognitive psychologists. The collection as a whole shows readers important aspects of mathematical cognition that are produced and observable at the interface between the body (both human and those of [inherently material] inscriptions) and culture. Drawing on cultural-historical activity theory, the editor develops an integrative perspective that serves as a background to a narrative that runs through and pulls together the book into an integrated whole.
Mathematical Representation At The Interface Of Body And Culture
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Author : Wolff-Michael Roth
language : en
Publisher: Information Age Pub Incorporated
Release Date : 2009
Mathematical Representation At The Interface Of Body And Culture written by Wolff-Michael Roth and has been published by Information Age Pub Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
A Volume in International Perspectives on Mathematics Education - Cognition, Equity & Society Series Editor Bharath Sriraman, The University of Montana and Lyn English, Queensland University of Technology Over the past two decades, the theoretical interests of mathematics educators have changed substantially-as any brief look at the titles and abstracts of articles shows. Largely through the work of Paul Cobb and his various collaborators, mathematics educators came to be attuned to the intricate relationship between individual and the social configuration of which she or he is part. That is, this body of work, running alongside more traditional constructivist and psychological approaches, showed that what happens at the collective level in a classroom both constrains and affords opportunities for what individuals do (their practices). Increasingly, researchers focused on the mediational role of sociomathematical norms and how these emerged from the enacted lessons. A second major shift in mathematical theorizing occurred during the past decade: there is an increasing focus on the embodied and bodily manifestation of mathematical knowing (e.g., Lakoff & Nunez, 2000). Mathematics educators now working from this perspective have come to their position from quite different bodies of literatures: for some, linguistic concerns and mathematics as material praxis lay at the origin for their concerns; others came to their position through the literature on the situated nature of cognition; and yet another line of thinking emerged from the work on embodiment that Humberto Maturana and Francisco Varela advanced. Whatever the historical origins of their thinking, mathematics educators taking an embodiment perspective presuppose that it is of little use to think of mathematical knowing in terms of transcendental concepts somehow recorded in the brain, but rather, that we need to conceptual knowing as mediated by the human body, which, because of its senses, is at the origin of sense. One of the question seldom asked is how the two perspectives, one that focuses on the bodily, embodied nature of mathematical cognition and the other that focuses on its social nature, can be thought together. This edited volume situates itself at the intersection of theoretical and focal concerns of both of these lines of work. In all chapters, the current culture both at the classroom and at the societal level comes to be expressed and provides opportunities for expressing oneself in particular ways; and these expressions always are bodily expressions of body-minds. As a collective, the chapters focus on mathematical knowledge as an aspect or attribute of mathematical performance; that is, mathematical knowing is in the doing rather than attributable to some mental substrate structured in particular ways as conceived by conceptual change theorists or traditional cognitive psychologists. The collection as a whole shows readers important aspects of mathematical cognition that are produced and observable at the interface between the body (both human and those of [inherently material] inscriptions) and culture. Drawing on cultural-historical activity theory, the editor develops an integrative perspective that serves as a background to a narrative that runs through and pulls together the book into an integrated whole."
Scientific Mathematical Bodies
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Author : SungWon Hwang
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-19
Scientific Mathematical Bodies written by SungWon Hwang 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 2011-11-19 with Education categories.
This book is about the sensuous, living body without which individual knowing and learning is impossible. It is the interface between the individual and culture. Recent scholarship has moved from investigated knowing and learning as something in the mind or brain to understanding these phenomena in terms of the body (embodiment literature) or culture (social constructivism). These two literatures have expanded the understanding of cognition to include the role of the body in shaping the mind and to recognize the tight relation between mind and culture. However, there are numerous problems arising from ways in which the body and culture are thought in these separate research domains. In this book, the authors present an interdisciplinary, scientific initiative that brings together the concerns for body and for culture to develop a single theory of cognition centered on the living and lived body. This book thereby contributes to bridging the gap that currently exists between theory (knowing that) and praxis (knowing how) that is apparent in the existing science and mathematics education literatures.
The Body In Mathematics
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Author :
language : en
Publisher: BRILL
Release Date : 2024-12-30
The Body In Mathematics 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 2024-12-30 with Education categories.
An embodied perspective on mathematical thinking, teaching and learning has grown from early theoretical and empirical work in the 90’s to a diverse and productive collection of approaches today. The aim of this book is to survey the landscape of these approaches and to provide empirical examples of research and an in-depth analysis of the most influential perspectives on embodiment and mathematics. More particularly, the book clarifies differences and points of contact among several theoretical and methodological frameworks that all take embodiment as a core construct in understanding mathematical thinking, and illustrates in a concrete way the affordances of each of these frameworks. Contributors are: Dor Abrahamson, Martha W. Alibali, Corey Brady, James A. Dixon, Laurie Edwards, Virginia J. Flood, Susan Gerofsky, Christina Krause, Ricardo Nemirovsky, Matthew Petersen, Luis Radford, Wolff-Michael Roth, Anna Shvarts, and Ashwin Vaidya.
Teaching And Learning Secondary School Mathematics
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Author : Ann Kajander
language : en
Publisher: Springer
Release Date : 2018-10-24
Teaching And Learning Secondary School Mathematics written by Ann Kajander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Education categories.
This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.
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.
International Handbook Of Mathematics Teacher Education Volume 3
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Author :
language : en
Publisher: BRILL
Release Date : 2019-12-09
International Handbook Of Mathematics Teacher Education Volume 3 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 2019-12-09 with Education categories.
This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors looked back beyond and within the last 10 years to establish the state-of-the-art and continuing and new trends in mathematics teacher and mathematics teacher educator education, and looked forward regarding possible avenues for teachers, teacher educators, researchers, and policy makers to consider to enhance and/or further investigate mathematics teacher and teacher educator learning and practice, in particular. The volume editors provide introductions to each volume that highlight the subthemes used to group related chapters, which offer meaningful lenses to see important connections within and across chapters. Readers can also use these subthemes to make connections across the four volumes, which, although presented separately, include topics that have relevance across them since they are all situated in the common focus regarding mathematics teachers. Volume 3, Participants in Mathematics Teacher Education, focuses not only on prospective and practicing teachers as learners but also on school colleagues, teacher educators, researchers, and others who work to provide effective learning opportunities for teachers. The emphasis is on describing and analysing participants’ engagement in mathematics teacher education collaborations and contexts from various perspectives. Thus, as the third volume in the series, it further broadens our understanding of the development of mathematics teachers.
Theories Of Mathematics Education
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Author : Bharath Sriraman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-13
Theories Of Mathematics Education written by Bharath Sriraman 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 2009-10-13 with Education categories.
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Proof And Proving In Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14
Proof And Proving In Mathematics Education written by Gila Hanna 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 2012-06-14 with Education categories.
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Practice Oriented Research In Tertiary Mathematics Education
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Author : Rolf Biehler
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Practice Oriented Research In Tertiary Mathematics Education written by Rolf Biehler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Education categories.
This edited volume presents a broad range of original practice-oriented research studies about tertiary mathematics education. These are based on current theoretical frameworks and on established and innovative empirical research methods. It provides a relevant overview of current research, along with being a valuable resource for researchers in tertiary mathematics education, including novices in the field. Its practice orientation research makes it attractive to university mathematics teachers interested in getting access to current ideas and results, including theory-based and empirically evaluated teaching and learning innovations. The content of the book is spread over 5 sections: The secondary-tertiary transition; University students' mathematical practices and mathematical inquiry; Research on teaching and curriculum design; University students’ mathematical inquiry and Mathematics for non-specialists.