Math worlds : philosophical and social studies of mathematics and mathematics education
著者
書誌事項
Math worlds : philosophical and social studies of mathematics and mathematics education
（SUNY series in science, technology, and society / Sal Restivo and Jennifer L. Croissant, editors）
State University of New York Press, c1993
- :pbk.
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
An international group of distinguished scholars brings a variety of resources to bear on the major issues in the study and teaching of mathematics, and on the problem of understanding mathematics as a cultural and social phenomenon. All are guided by the notion that our understanding of mathematical knowledge must be grounded in and reflect the realities of mathematical practice.
Chapters on the philosophy of mathematics illustrate the growing influence of a pragmatic view in a field traditionally dominated by platonic perspectives. In a section on mathematics, politics, and pedagogy, the emphasis is on politics and values in mathematics education. Issues addressed include gender and mathematics, applied mathematics and social concerns, and the reflective and dialogical nature of mathematical knowledge. The concluding section deals with the history and sociology of mathematics, and with mathematics and social change. Contributors include Philip J. Davis, Helga Jungwirth, Nel Noddings, Yehuda Rav, Michael D. Resnik, Ole Skovsmose, and Thomas Tymoczko.
目次
I. GENERAL INTRODUCTION
1. The Promethean Task of Bringing Mathematics to Earth
Sal Restivo
II. PHILOSOPHICAL PERSPECTIVES
2. Foundations of Mathematics or Mathematical Practice: Is One Forced to Choose?
Jean Paul Van Bendegem
3. A Naturalized Epistemology for a Platonist Mathematical Ontology
Michael D. Resnik
4. Mathematical Skepticism: Are We Brains in a Countable Vat?
Thomas Tymoczko
5. Philosophical Problems of Mathematics in the Light of Evolutionary Epistemology
Yehuda Rav
III. MATHEMATICS, POLITICS, AND PEDAGOGY
6. Mathematics as a Means and as a System
Roland Fischer
7. Reflections on the Foundations of Research on Women and Mathematics
Helga Jungwirth
8. Politicizing the Mathematics Classroom
Nel Noddings
9. The Dialogical Nature of Reflective Knowledge
Ole Skovsmose
10. Applied Mathematics as Social Contract
Philip J. Davis
IV. MATHEMATICS, SOCIETY, AND SOCIAL CHANGE
11. Mathematics and Social Change
Roland Fischer
12. The Social System of Mathematics and National Socialism: A Survey
Herbert Mehrtens
13. The Social Life of Mathematics
Sal Restivo
Contributors
Subject Index
Name Index
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