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Authoritarian Versus Authoritative Teaching: Polya and Lakatos

  • Brendan Larvor
Chapter

Abstract

Lakatos argued that a proof, when presented in the usual “Euclidian” style, may leave the choice of theorem, definitions and proof-idea mysterious. To remove these mysteries, he recommended a “heuristic” style of presentation. This distinction was already present in the work of Polya. Moreover, Polya was directly concerned with teaching and consequently paid attention to the emotional and existential experience of the student. However, Polya lacked Lakatos’s account of proof analysis and was not a fallibilist. Therefore, the question of whether Lakatos advanced pedagogy from where Polya left it reduces to two questions: (1) does proof analysis have a place in the classroom? and (2) does fallibilism have a place in the classroom? In this paper, I argue that the answers are (1) Yes and (2) No.

Keywords

Bovine Spongiform Encephalopathy Algebraic Version Plausible Inference Intellectual Honesty Semantic Shift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Brendan Larvor
    • 1
  1. 1.School of Humanities, University of HertfordshireHatfieldUK

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