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Burgess and Rosen argue that Yablo’s figuralist account of mathematics fails because it says mathematical claims are really only metaphorical. They suggest Yablo’s view is implausible as an account of...
Current approaches to mathematical cognition divide into two major camps. Cognitive studies try to render mathematical intuition—the faculty that gives us immediate and authoritative knowledge of math...
The purpose of this paper is to expound and clarify the mathematics and explanations commonly employed in certain notable areas of astronomy and astrophysics. The first section concentrates upon the m...
Mathematical Kinds, or Being Kind to Mathematics
natural kinds mathematics laws projectability
2008/4/15
In 1908, Henri Poincaré claimed that:
...the mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a mathematica...
The popular image of mathematics is that it is difficult, cold, abstract, ultra-rational, important and largely masculine. Many persons operating at high levels of competency in numeracy, graphicacy, ...
Thomas Kuhn's Theory of the Structure of Scientific Revolutions, first published in 1962, heralded both a renaissance and a shift in the philosophy of science. The main tendency had been towards Logic...
PHILOSOPHY OF MATHEMATICS EDUCATION DISCUSSION GROUP (PME)
PHILOSOPHY OF MATHEMATICS EDUCATION DISCUSSION GROUP
2008/4/8
There was a Philosophy of Mathematics Education discussion group at the 16th Annual Meeting of the International Group for the Psychology of Mathematics Education, at the University of New Hampshire, ...
The Philosophy of Mathematics Education: “What does this mean for the child in the classroom?”
Mathematics Education classroom
2008/4/8
In the final minutes of Topic Group 16's first session (August 18) one participant, challenging the ongoing debate, posed the question appearing in the title above. This issue was raised again by Ole ...
It is now almost 20 years since his untimely death robbed the world of the man who was potentially the most important living philosopher of mathematics, Imre Lakatos. Although his main work was carrie...
SOME REMARKS ON THE PHILOSOPHY OF MATHEMATICS EDUCATION
REMARKS PHILOSOPHY OF MATHEMATICS EDUCATION
2008/4/8
What is philosophy of mathematics education? Before answering that question, I believe it would be better to consider first the following similar question: What is philosophy of mathematics? And parti...
CONSTRUCTING MATHEMATICAL KNOWLEDGE: EPISTEMOLOGY AND MATHEMATICS EDUCATION
CONSTRUCTING MATHEMATICAL KNOWLEDGE
2008/4/8
This book provides a panorama of complementary and forward looking perspectives on the learning of mathematics and epistemology. It explores constructivist and social theories of learning, and discuss...
MATHEMATICS, EDUCATION AND PHILOSOPHY: AN INTERNATIONAL PERSPECTIVE
MATHEMATICS EDUCATION PHILOSOPHY
2008/4/8
This book addresses the central problem of the philosophy of mathematics education: the impact of conceptions of mathematics on educational practice. It also embodies a far-reaching interdisciplinary ...
ASPECTS OF PROOF: SPECIAL ISSUE OF EDUCATIONAL STUDIES IN MATHEMATICS
SPECIAL ISSUE OF EDUCATIONAL MATHEMATICS
2008/4/8
It can be uncomfortable for the mathematician to come to terms with the social and temporal nature of proof standards or, for that matter, the undecidability of formal logical statements: it does, aft...
THE PEIRCEAN INTERPRETATION OF MATHEMATICS BY CHRISTOPHER ORMELL
THE PEIRCEAN INTERPRETATION MATHEMATICS
2008/4/8
Attitudes to mathematics tend to begin, for most of us, in the classroom. Some mathematics teachers instil in us an early awe for the subject, partly, no doubt, as a result of mechanisms they use ---c...
PHILOSOPHY OF MATHEMATICS EDUCATION: POM(E), PO(ME) OR POE(M) ?
PHILOSOPHY MATHEMATICS EDUCATION
2008/4/8
As readers of this newsletter know, the field of philosophy of mathematics has been infused with a human spirit on numerous occasions within the past couple of decades. Such infusion has had the dual ...