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As noticed recently by Winsberg (2003), how computer models and simulations get their epistemic credentials remains in need of epistemological scrutiny. My aim in this paper is to contribute to fill t...
We propose that children employ specialized cognitive systems that allow them to recover an accurate “causal map” of the world: an abstract, coherent, learned representation of the causal relations am...
He [sic] [the 'ideal mathematician'] can think of no condemnation more damning than to say of a student, "He doesn't even know what a proof is." Yet he is able to give no coherent explanation of what ...
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...
Charles Sanders Peirce is known for his contributions to a number of fields. Specifically he is associated with Semiotics, Logic and Pragmatism and it is clear that for Peirce there are inextricable l...
Our paper comes from the work we did in the Association pour le développement du Génie Cognitif, Nice (GECO) and more precisely in a project named CESAME supported by the Institut Universitaire pour l...
In recent years there has been growing interest in the role of history of mathematics in improving the teaching and learning of mathematics. Educators throughout the world have been formulating and co...
Central to this dissertation is an attempt to investigate whether or not a single-sex environment has a positive impact upon girls' attitudes and beliefs, as they pertain to the learning of mathematic...
This paper aims to discuss some preliminary findings of two case studies, which were part of a bigger research project exploring the culture of m athematics teaching and learning in some Malaysian sch...
Much can be learned about theories in mathematics education and elsewhere by examining their underlying metaphors. Elsewhere I have compared the underlying metaphors of mind of various learning theori...
This paper begins by describing a study that showed that when interviewing high-achieving high school pupils about their cognitive learning, single pupils can say things that are supported by differen...
In this paper we argue that Polanyi’s social construction of personal knowledge is very similar to what we understand currently as situated learning perspectives in the field of mathematics educati...
Charles Sanders Peirce is one of the most important and influential American philosophers. This paper intends to develop a general - though brief - sketch of what Peirce's pragmatism is in order to su...
In this paper I draw attention to the mathematics education of that group of learners who are usually on the margins of society and also on the margins of mathematics education research, theory and pr...
This paper outlines the author’s purpose for reviewing literature on gender differences in mathematics education. An overview of research findings on gender and mathematics from industrial societies (...

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