Radical Constructivism in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 0306472015
Total Pages : 264 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Radical Constructivism in Mathematics Education by : E. Glasersfeld

Download or read book Radical Constructivism in Mathematics Education written by E. Glasersfeld and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valéry The essays collected in this volume form a mosaik of theory, research, and practice directed at the task of spreading mathematical knowledge. They address questions raised by the recurrent observation that, all too frequently, the present ways and means of teaching mathematics generate in the student a lasting aversion against numbers, rather than an understanding of the useful and sometimes enchanting things one can do with them. Parents, teachers, and researchers in the field of education are well aware of this dismal situation, but their views about what causes the wide-spread failure and what steps should be taken to correct it have so far not come anywhere near a practicable consensus. The authors of the chapters in this book have all had extensive experience in teaching as well as in educational research. They approach the problems they have isolated from their own individual perspectives. Yet, they share both an overall goal and a specific fundamental conviction that characterized the efforts about which they write here. The common goal is to find a better way to teach mathematics. The common conviction is that knowledge cannot simply be transferred ready-made from parent to child or from teacher to student but has to be actively built up by each learner in his or her own mind.

RADICAL CONSTRUCTIVISM

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Author :
Publisher : Routledge
ISBN 13 : 1135716048
Total Pages : 308 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis RADICAL CONSTRUCTIVISM by : Ernst von Glasersfeld

Download or read book RADICAL CONSTRUCTIVISM written by Ernst von Glasersfeld and published by Routledge. This book was released on 2013-08-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1995. In the past decade or two, the most important theoretical perspective to emerge in mathematics education has been that of constructivism. This burst onto the international scene at the controversial Eleventh International Conference on the Psychology of Mathematics Education in Montreal in the summer of 1987. No one there will forget von Glasersfeld's authoritative plenary presentation on radical con­structivism, and his replies to critics. Ironically, the conference, at which attacks on radical constructivism were perhaps intended to expose fatally its weaknesses, served as a platform from which the theory was launched to widespread international acceptance and approbation. Radical constructivism is a theory of knowing that provides a pragmatic approach to questions about reality, truth, language and human understanding. It breaks with the philosophical tradition and proposes a conception of knowledge that focuses on experiential fit rather than metaphysical truth. It claims to be a useful approach, not the revelation of a timeless world. The ten chapters of this book present different facets in an elegantly written and thoroughly argued account of this epistemological position, providing a profound analysis of its central concepts.

Radical Constructivism in Action

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Author :
Publisher : Routledge
ISBN 13 : 1135699461
Total Pages : 344 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Radical Constructivism in Action by : Leslie P. Steffe

Download or read book Radical Constructivism in Action written by Leslie P. Steffe and published by Routledge. This book was released on 2002-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last twenty-five years Ernst von Glasersfeld has had a tremendous impact on mathematics and science education through his fundamental insights into the nature of knowledge and knowing. Radical Constructivism in Action is a new volume of papers honouring his work by building on his model of knowing. The contributions by leading researchers present constructivism in action, tying the authors' actions regarding practical problems of mathematics and science education, philosophy, and sociology to their philosophical constraints, giving meaning to constructivism operationally. The book begins with a retrospective analogy between radical constructivism's emergence and changes in what is thought of as "certain" scientific knowledge. It aims to increase understanding of constructivism and Glasersfeld's achievement, and is vibrant evidence of the continued vitality of research in the constructivism tradition.

Radical Constructivism in Mathematics Education

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Author :
Publisher :
ISBN 13 : 9789401740951
Total Pages : 272 pages
Book Rating : 4.7/5 (49 download)

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Book Synopsis Radical Constructivism in Mathematics Education by : E. von Glasersfeld

Download or read book Radical Constructivism in Mathematics Education written by E. von Glasersfeld and published by . This book was released on 2014-01-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Key Works in Radical Constructivism

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Author :
Publisher : BRILL
ISBN 13 : 9087903480
Total Pages : 341 pages
Book Rating : 4.0/5 (879 download)

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Book Synopsis Key Works in Radical Constructivism by : Ernst von Glasersfeld

Download or read book Key Works in Radical Constructivism written by Ernst von Glasersfeld and published by BRILL. This book was released on 2007-01-01 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Works on Radical Constructivism brings together a number of essays by Ernst von Glasersfeld that illustrate the application of a radical constructivist way of thinking in the areas of education, language, theory of knowledge, and the analysis of a few concepts that are indispensable in almost everything we think and do.

Radical Constructivism ; ...

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (249 download)

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Book Synopsis Radical Constructivism ; ... by : Glasersfeld

Download or read book Radical Constructivism ; ... written by Glasersfeld and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

RADICAL CONSTRUCTIVISM

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Author :
Publisher : Routledge
ISBN 13 : 1135716056
Total Pages : 230 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis RADICAL CONSTRUCTIVISM by : Ernst von Glasersfeld

Download or read book RADICAL CONSTRUCTIVISM written by Ernst von Glasersfeld and published by Routledge. This book was released on 2013-08-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1995. In the past decade or two, the most important theoretical perspective to emerge in mathematics education has been that of constructivism. This burst onto the international scene at the controversial Eleventh International Conference on the Psychology of Mathematics Education in Montreal in the summer of 1987. No one there will forget von Glasersfeld's authoritative plenary presentation on radical con­structivism, and his replies to critics. Ironically, the conference, at which attacks on radical constructivism were perhaps intended to expose fatally its weaknesses, served as a platform from which the theory was launched to widespread international acceptance and approbation. Radical constructivism is a theory of knowing that provides a pragmatic approach to questions about reality, truth, language and human understanding. It breaks with the philosophical tradition and proposes a conception of knowledge that focuses on experiential fit rather than metaphysical truth. It claims to be a useful approach, not the revelation of a timeless world. The ten chapters of this book present different facets in an elegantly written and thoroughly argued account of this epistemological position, providing a profound analysis of its central concepts.

Investigating Mathematics Teaching

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Author :
Publisher : Routledge
ISBN 13 : 1135716129
Total Pages : 250 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Investigating Mathematics Teaching by : Barbara Jaworski

Download or read book Investigating Mathematics Teaching written by Barbara Jaworski and published by Routledge. This book was released on 2002-11-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.

Fundamental Constructs in Mathematics Education

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Author :
Publisher : Routledge
ISBN 13 : 1134338902
Total Pages : 356 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Fundamental Constructs in Mathematics Education by : Sue Johnston-Wilder

Download or read book Fundamental Constructs in Mathematics Education written by Sue Johnston-Wilder and published by Routledge. This book was released on 2004-01-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Constructs in Mathematics Education is a unique sourcebook crafted from classic texts, research papers and books in mathematics education. Linked together by the editors' narrative, the book provides a fascinating examination of, and insight into, key constructs in mathematics education and how they link together. The choice of constructs is based on (some of) the many constructs which have proved fruitful in research and which have informed choices made by teachers. The book is divided into two parts: learning and teaching. The first part includes views about how people learn - from Plato to Dewey, as well as constructivism, activity theory and French didactiques. The second part includes extracts concerned with initiating, sustaining and bringing to a conclusion learners' work on mathematical tasks. Fundamental Constructs in Mathematics Education provides access to a wide range of constructs in mathematics education and orients the reader towards important original sources.

Symbolizing, Modeling and Tool Use in Mathematics Education

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401731942
Total Pages : 304 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Symbolizing, Modeling and Tool Use in Mathematics Education by : K.P Gravemeijer

Download or read book Symbolizing, Modeling and Tool Use in Mathematics Education written by K.P Gravemeijer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.

A Journey in Mathematics Education Research

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Publisher : Springer Science & Business Media
ISBN 13 : 9048197295
Total Pages : 255 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis A Journey in Mathematics Education Research by : Erna Yackel

Download or read book A Journey in Mathematics Education Research written by Erna Yackel and published by Springer Science & Business Media. This book was released on 2010-11-30 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.

Constructing Mathematical Knowledge

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Author :
Publisher : Routledge
ISBN 13 : 1136364722
Total Pages : 295 pages
Book Rating : 4.1/5 (363 download)

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Book Synopsis Constructing Mathematical Knowledge by : Paul Ernest

Download or read book Constructing Mathematical Knowledge written by Paul Ernest and published by Routledge. This book was released on 2012-10-12 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.

Social Constructivism as a Philosophy of Mathematics

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Author :
Publisher : SUNY Press
ISBN 13 : 9780791435878
Total Pages : 336 pages
Book Rating : 4.4/5 (358 download)

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Book Synopsis Social Constructivism as a Philosophy of Mathematics by : Paul Ernest

Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.

Cultural Perspectives on the Mathematics Classroom

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Publisher : Springer Science & Business Media
ISBN 13 : 9401711992
Total Pages : 212 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Cultural Perspectives on the Mathematics Classroom by : Steve Lerman

Download or read book Cultural Perspectives on the Mathematics Classroom written by Steve Lerman and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics teaching and learning have been dominated by a concern for the intellectual readiness of the child, debates over rote learning versus understanding and, recently, mathematical processes and thinking. The gaze into today's mathematics classroom is firmly focused on the individual learner. Recently, however, studies of mathematics in social practices, including the market place and the home, have initiated a shift of focus. Culture has become identified as a key to understanding the basis on which the learner appropriates meaning. The chapters in this timely book attempt to engage with this shift of focus and offer original contributions to the debate about mathematics teaching and learning. They adopt theoretical perspectives while drawing on the classroom as both the source of investigation and the site of potential change and development. The book will be of fundamental interest to lecturers and researchers and to teachers concerned with the classroom as a cultural phenomenon.

The Practice of Constructivism in Science Education

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Publisher : Routledge
ISBN 13 : 1136489746
Total Pages : 362 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis The Practice of Constructivism in Science Education by : Kenneth G. Tobin

Download or read book The Practice of Constructivism in Science Education written by Kenneth G. Tobin and published by Routledge. This book was released on 2012-11-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a needed elaboration of theories and potential applications of constructivism in science education. Although the term "constructivism" is used widely, there has been a dearth of materials to guide science educators concerning the potential of constructivism to influence what is done in the field. In fact, there has been a tendency for constructivism to be viewed as a method that can be used in a classroom. This view tends to diminish the power of constructivism as a way of thinking about education, and in particular, about science education. The chapters in this book address the need to document the theoretical roots of constructivism and to describe how practitioners have applied constructivist oriented beliefs in the practice of K-12 teaching of science and mathematics, as well as teacher education. Not only does this book contain different theoretical perspectives on constructivism, but it also features a chapter that critiques constructivism as an epistemology. Specific topics covered include: * cooperative learning, * the negotiation of meaning, * problem centered learning, * social construction of knowledge, * science in culturally diverse settings, * curriculum planning and implementation, and * instructional technology. Issues associated with the preparation and enhancement of science teachers and the reform of science education are also explored.

Constructivism and Education

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521621359
Total Pages : 332 pages
Book Rating : 4.6/5 (213 download)

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Book Synopsis Constructivism and Education by : Marie Larochelle

Download or read book Constructivism and Education written by Marie Larochelle and published by Cambridge University Press. This book was released on 1998-08-13 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international collection dealing with the constructivist approach to education.

Theories of Mathematics Education

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642007422
Total Pages : 650 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Theories of Mathematics Education by : Bharath Sriraman

Download or read book Theories of Mathematics Education written by Bharath Sriraman and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.