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THE PRINCIPLE OF ECONOMY IN THE LEARNING AND TEACHING OF MATHEMATICS, BY DAVID P. HEWITT
MATHEMATICS THE PRINCIPLE OF ECONOMY
2008/4/8
This book comprises the author's PhD thesis submitted to the Open University and awarded in 1994. The relevance of this review in the present context is that it reports a research project undertaken w...
IS 'THE DISCIPLINE OF NOTICING' A NEW PARADIGM FOR RESEARCH IN MATHEMATICS EDUCATION?
DISCIPLINE MATHEMATICS EDUCATION
2008/4/8
For at least a decade John Mason has been elaborating what he terms 'The Discipline of Noticing' (in brief: 'DN') (Mason, 1994: 183). This is a perspective or stance with regard to research in mathema...
SKOVSMOSE, O. TOWARDS A PHILOSOPHY OF CRITICAL MATHEMATICS EDUCATION, DORDRECHT: KLUWER, 1994.
MATHEMATICS EDUCATION DORDRECHT
2008/4/8
This is a very important book for the international mathematics education community, and beyond, and deserves an in-depth critical review. This is what I attempt to offer below, albeit, inevitably, fr...
Mathematics is not just about identifying what is true or what works but also about explaining why it is true or why it works and convincing others that it is true or that it works. That is, mathemati...
This question (what is the philosophy of mathematics education?) provokes a number of reactions, even before one tries to answer it. Is it a philosophy of mathematics education, or is it the philosoph...
What is the relationship between conceptions of the nature of mathematics and teaching? This question, central to research in the philosophy of mathematics education, is the one that I address here. I...
THE SIGNIFICANCE OF HISTORY AND OF NON-ABSOLUTIST PHILOSOPHIES IN MATHEMATICS EDUCATION
THE SIGNIFICANCE OF HISTORY PHILOSOPHIES
2008/4/8
Absolutist philosophies of mathematics (typically logicism and formalism) or of science aim at presenting mathematics or science in an aprioristic frame. These philosophies do not take into account th...
I wanted certainty in the kind of way in which people want religious faith. I thought that certainty was more likely to be found in mathematics than elsewhere. But I discovered that many mathematical ...
The papers that follow are devoted to the questions What is mathematics? and What does the nature of mathematics have to do with its teaching in schools? The issue is interpreted in different ways by ...
TONY BROWN, MATHEMATICS EDUCATION AND LANGUAGE: INTERPRETING HERMENEUTICS AND POST-STRUCTURALISM
TONY BROWN MATHEMATICS EDUCATION LANGUAGE
2008/4/8
Theoretical discussions in mathematics education have for too long been inward looking. There has been much discussion of understanding, language, the construction of meaning, the classroom and the te...
A SEMIOTIC AND ANTHROPOLOGICAL APPROACH TO RESEARCH IN MATHEMATICS EDUCATION
SEMIOTIC ANTHROPOLOGICAL
2008/4/8
The posing and solution of research problems in Mathematics Education requires the integration and adaptation of theoretical contributions made by different sciences and technologies interested in hum...
PEIRCE'S SIGN AND MATHEMATICS EDUCATION: AN INTRODUCTION
PEIRCE'S SIGN MATHEMATICS EDUCATION
2008/4/8
My purposes in this brief presentation are to outline some of the principal features of the sign as conceived by Charles Sanders Peirce and to sketch the relationship between Peirce's sign and mathema...
INTRODUCTION: SEMIOTICS, MATHEMATICS AND MATHEMATICS EDUCATION
MATHEMATICS MATHEMATICS EDUCATION
2008/4/8
The contributions in this issue are of a number of types. The first few, including this one, are introductory writings about semiotics, mathematics and education intended to perform an orientating fun...
MATHEMATICS AND CULTURE
MATHEMATICS CULTURE
2008/4/8
In a recent essay "On the Nature of Linkages between Science, Technology, Philosophy, and Culture," Professor D.P. Chattopadhyaya1 has argued that "even the abstract disciplines like mathematics are i...
If it is accepted, that "the ontology of mathematics is given by the discursive realm of mathematics, which is populated by cultural objects, which have real existence in that domain", and "mathematic...