Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Educationby Sal Restivo
Pub. Date: 03/01/1993
Publisher: State University of New York Press
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.
- State University of New York Press
- Publication date:
- SUNY series in Science, Technology, and Society Series
- Product dimensions:
- 6.00(w) x 9.00(h) x (d)
Table of ContentsI. GENERAL INTRODUCTION
1. The Promethean Task of Bringing Mathematics to Earth
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?
5. Philosophical Problems of Mathematics in the Light of Evolutionary Epistemology
III. MATHEMATICS, POLITICS, AND PEDAGOGY
6. Mathematics as a Means and as a System
7. Reflections on the Foundations of Research on Women and Mathematics
8. Politicizing the Mathematics Classroom
9. The Dialogical Nature of Reflective Knowledge
10. Applied Mathematics as Social Contract
Philip J. Davis
IV. MATHEMATICS, SOCIETY, AND SOCIAL CHANGE
11. Mathematics and Social Change
12. The Social System of Mathematics and National Socialism: A Survey
13. The Social Life of Mathematics
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