Math Worlds

Philosophical and Social Studies of Mathematics and Mathematics Education

Inbunden, Engelska, 1993

AvSal Restivo,Jean Paul van Van Bendegem,Roland Fischer

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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.

Produktinformation

Utgivningsdatum1993-04-15
Mått152 x 229 x 15 mm
Vikt567 g
FormatInbunden
SpråkEngelska
Antal sidor292
FörlagState University of New York Press
ISBN9780791413296

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Matematik inom Naturvetenskap och teknik

Sal Restivo is Professor of Sociology and Science Studies at Rensselaer Polytechnic Institute. He is the author of The Social Relations of Physics, Mysticism, and Mathematics; The Sociological Worldview; Mathematics in Society and History; and Science, Society, and Values: Toward a Sociology of Objectivity. Jean Paul Van Bendegem is Professor of Philosophy and Logic at Vrije Universiteit in Brussels, and editor of the journal Philosophica. He is the author of Finite, Empirical Mathematics: Outline of a Model, and co-editor of Theory and Experiment. Roland Fischer is University Professor of Mathematics at Interuniversitares Forschungsinstitut fur Ferstudien in Klagenfurt, Austria. He is co-author of Mensch und Mathematik, and founder of the Journal of Mathematik-Didaktik.

I. GENERAL INTRODUCTION 1. The Promethean Task of Bringing Mathematics to EarthSal 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 OntologyMichael D. Resnik 4. Mathematical Skepticism: Are We Brains in a Countable Vat?Thomas Tymoczko 5. Philosophical Problems of Mathematics in the Light of Evolutionary EpistemologyYehuda Rav III. MATHEMATICS, POLITICS, AND PEDAGOGY 6. Mathematics as a Means and as a SystemRoland Fischer 7. Reflections on the Foundations of Research on Women and MathematicsHelga Jungwirth 8. Politicizing the Mathematics ClassroomNel Noddings 9. The Dialogical Nature of Reflective KnowledgeOle Skovsmose 10. Applied Mathematics as Social ContractPhilip J. Davis IV. MATHEMATICS, SOCIETY, AND SOCIAL CHANGE 11. Mathematics and Social ChangeRoland Fischer 12. The Social System of Mathematics and National Socialism: A SurveyHerbert Mehrtens 13. The Social Life of MathematicsSal Restivo Contributors Subject Index Name Index

"Philosophy of mathematics has become a major area of interest for philosophers and historians of ideas in the last few years; and the swing has been toward examining the social context and processes involved in mathematics rather than taking it as a transcendent body of truths. This book is very up to date in this respect. It will prove to be the cutting-edge statement on the sociological approach to mathematics on both philosophical and theoretical issues, and it sets a new goal for reforming mathematical education." — Randall Collins, University of California, Riverside