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International Studies in Phenomenology and Philosophy

Book | Chapter

209729

Proofs as bearers of mathematical knowledge

Gila HannaEd Barbeau

pp. 85-100

Abstract

Yehuda Rav's inspiring paper "Why do we prove theorems?" published in Philosophia Mathematica (1999; 7: 5–41) has interesting implications for mathematics education. We examine Rav's central ideas on proof – that proofs convey important elements of mathematics such as strategies and methods, that it is "proofs rather than theorems that are the bearers of mathematical knowledge" and thus that proofs should be the primary focus of mathematical interest – and then discuss their significance for mathematics education in general and for the teaching of proof in particular.

Publication details

Published in:

Hanna Gila, Jahnke Hans Niels, Pulte Helmut (2010) Explanation and proof in mathematics: philosophical and educational perspectives. Dordrecht, Springer.

Pages: 85-100

DOI: 10.1007/978-1-4419-0576-5_7

Full citation:

Hanna Gila, Barbeau Ed (2010) „Proofs as bearers of mathematical knowledge“, In: G. Hanna, H. Jahnke & H. Pulte (eds.), Explanation and proof in mathematics, Dordrecht, Springer, 85–100.