The Nctm Standards and the Philosophy of Mathematics
 Charalampos Toumasis
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It is argued that the philosophical and epistemological beliefs about the nature of mathematics have a significant influence on the way mathematics is taught at school. In this paper, the philosophy of mathematics of the NCTM's Standards is investigated by examining is explicit assumptions regarding the teaching and learning of school mathematics. The main conceptual tool used for this purpose is the model of two dichotomous philosophies of mathematicsabsolutist versus fallibilist and their relation to mathematics pedagogy. The main conclusion is that a fallibilist view of mathematics is assumed in the Standards and that most of its pedagogical assumptions and approaches are based on this philosophy.
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 Title
 The Nctm Standards and the Philosophy of Mathematics
 Journal

Studies in Philosophy and Education
Volume 16, Issue 3 , pp 317330
 Cover Date
 19970701
 DOI
 10.1023/A:1004909220965
 Print ISSN
 00393746
 Online ISSN
 1573191X
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 Absolutist philosophy of mathematics
 mathematics learning
 mathematics teaching
 fallibilist philosophy of mathematics
 Authors

 Charalampos Toumasis ^{(1)}
 Author Affiliations

 1. Patras, Greece