Challenges to the Importance of Proof.

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Mathematics Education and Teaching Techniques Mathematics Education and Pedagogy History and Theory of Mathematics

Abstract

An informed view of the role of proof in mathematics leads one to the conclusion that proof should be part of any mathematics curriculum that purports to reflect mathematics itself, and furthermore that the main function of proof in the classroom reflects one of its key functions in mathematics itself: The promotion of understanding. Yet developments in both mathematics and mathematics education have now

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1992Handbook of research on mathematics teaching and learning 1978Mathematics, Science and Epistemology 1990Some pedagogical aspects of proof 1993Proving is convincing and explaining 1988The Tension Between Theories of Learning and Instruction in Mathematics Education 1979IMRE LAKATOS'S PHILOSOPHY OF SCIENCE

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2008How Mathematicians Determine if an Argument Is a Valid Proof 1999Why Johnny Can’t Prove 2000The role of contradiction and uncertainty in promoting the need to prove in Dynamic Geometry environments 2006Proving and Doing Proofs in High School Geometry Classes: What Is It That Is Going On for Students?2002Students' understandings of logical implication 1999Why Johnny Can't Prove 2004Proofs through Exploration in Dynamic Geometry Environments 2009Designing to develop disciplinary dispositions: Modeling natural systems.

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