Constructing mathematical knowledge : epistemology and mathematics education
著者
書誌事項
Constructing mathematical knowledge : epistemology and mathematics education
（Studies in mathematics education series, 4）
Falmer Press, 1994
- : cased
- : limp
- タイトル別名
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Constructing mathematical knowledge : epistemology and mathematical education
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注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
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: cased ISBN 9780750703543
内容説明
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.
目次
Introduction Part 1 Constructivism and the Learning of Mathematics Chapter 1 A Radical Constructivist View of Basic Mathematical Concepts Chapter 2 Interaction and Children's Mathematics 8 Chapter 3 Radical Constructive Criticisms of von Glasersfe1d's Radical Constructivism Chapter 4 Articulating Theories of Mathematics Learning Chapter 5 Is Radical Constructivism Coherent? Chapter 6 Social Constructivism and the Psychology of Mathematics Education Chapter 7 Mathematics, Computers and People: Individual and Social Perspectives Chapter 8 The Context of Cognition: The Challenge of Technology Part 2 Psychology, Epistemology and Hermeneutics Chapter 9 Another Psychology of Mathematics Education Chapter 10 On Interpretation Chapter 11 Potential Space and Mathematical Reality Chapter 12 Towards a Hermeneutical Understanding of Mathematics and Mathematical Learning Chapter 13 The Myth of Mathematics Part 3 Enquiry in Mathematics Education Chapter 14 The Problem of the Problem and Curriculum Fallacies Chapter 15 Enquiry in Mathematics and in Mathematics Education Chapter 16 Demystifying Mathematics Education through Inquiry Chapter 17 Reading to Learn Mathematics in the Primary Age Range Part 4 History, Mathematics and Education Chapter 18 The Idea of 'Revolution' As an Instrument for the Study of the Development of Mathematics and Its Application to Education Chapter 19 Mathematical Practices, Anomalies and Classroom Communication Problems
- 巻冊次
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: limp ISBN 9780750705707
内容説明
This book provides a panorama of complimentary and forward looking perspectives on the learning of mathematics and epistemology from some of the leading contributors to the field. It explores constructivist and social theories of learning, and discusses the role of the computer in the light of these theories. It brings analyses from psychoanalysis, Hermeneutics and other perspectives to bear on the issues of mathematics and learning. It enquires into the nature of enquiry itself, and an important emergent theme is the role of language. Finally it relates the history of mathematics to its teaching and learning. The book both surveys current research and indicates orientations for fruitful work in the future.
目次
- Part 1 Constructivism and the Learning of Mathematics: A Radical Constructivist View of Basic Mathematical Constructs, Ernst Von Glaserfeld
- Interaction and Children's Mathematics, Leslie P. Steffe and Ron Tzur
- Articulating Theories of Mathematics Learning, Stephen Lerman. Part 2 Psychology, Epistemology and Hermeneutics: Another Psychology of Mathematics Education, David Pimm
- Potential Space of Mathematical Reality, Philip Maher
- The Myth of Mathematics, Falk Seeger and Heinz Steinbring, Germany. Part 3 Enquiry in Mathematics Education: Enquiry in Mathematics and in Mathematics Education, John Mason
- Reading to Learn Mathematics in the Primary Age Range, Charles Desforges and Stephen Bristow. Part 4 History Mathematics and Education: The Idea of "Revolution" as an Instrument forthe Study of the Development of Mathematics and its Applications to Education, Francesco Speranza.
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