ZDM

, Volume 40, Issue 3, pp 401–412

Indirect proof: what is specific to this way of proving?

Original article

DOI: 10.1007/s11858-008-0091-2

Cite this article as:
Antonini, S. & Mariotti, M.A. ZDM Mathematics Education (2008) 40: 401. doi:10.1007/s11858-008-0091-2

Abstract

The study presented in this paper is part of a wide research project concerning indirect proofs. Starting from the notion of mathematical theorem as the unity of a statement, a proof and a theory, a structural analysis of indirect proofs has been carried out. Such analysis leads to the production of a model to be used in the observation, analysis and interpretation of cognitive and didactical issues related to indirect proofs and indirect argumentations. Through the analysis of exemplar protocols, the paper discusses cognitive processes, outlining cognitive and didactical aspects of students’ difficulties with this way of proving.

Keywords

Proof Argumentation Indirect proof Proof by contradiction Proof by contraposition 

Copyright information

© FIZ Karlsruhe 2008

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di PaviaPaviaItaly
  2. 2.Dipartimento di Scienze Matematiche e InformaticheUniversità di SienaSienaItaly

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