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EPISTEMOLOGY PLUS VALUES EQUALS CLASSROOM IMAGE OF MATHEMATICS
the impact of values mathematics
2008/10/28
What is the impact of values on the mathematics classroom? In this paper I advance the thesis that an epistemology or philosophy of mathematics combined with a set of values provides the basis for the...
Social epistemology of scientific inquiry: beyond historical vs. philosophical case studies
social epistemology scientific objectivity
2008/4/22
In this paper, I propose a new way to integrate historical accounts of social interaction in scientific practice with philosophical examination of scientific knowledge. The relation between descriptiv...
Epistemology Quantized: circumstances in which we should come to believe in the Everett interpretation
Quantum Mechanics
2008/4/11
I consider exactly what is involved in a solution to the probability problem of the Everett interpretation, in the light of recent work on applying considerations from decision theory to that problem....
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...
In a recent study, I interviewed seventy research mathematicians about their epistemologies. (For more details see, for example, Burton, forthcoming.) I was interested in the process of their coming t...
Some Cautionary Notes on Jean Piaget’s Genetic Epistemology
Cautionary Notes Jean Piaget Genetic Epistemology
2008/4/4
Introduction
“We are an empire now, and when we act, we create our own reality. And while you’re studying that reality–judiciously as you will–we’ll act again, creating other new realities, which you...