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Proving and Modelling

  • Gila Hanna
  • Hans Niels Jahnke
Part of the New ICMI Study Series book series (NISS, volume 10)

Abstract

This paper discusses the complementary roles of modelling and proof. The two are inseparably linked, and the authors argue that this should be reflected in teaching. Two examples are discussed. The first describes a teaching unit using arguments from statics to prove geometrical theorems, the second discusses the role of thought experiments in general and a specific thought experiment for deriving Pick’s formula.

Keywords

Thought Experiment Mathematical Proof Interior Angle Mathematical Explanation Deductive Proof 
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 2007

Authors and Affiliations

  • Gila Hanna
    • 1
  • Hans Niels Jahnke
    • 2
  1. 1.Ontario Institute for Studies in EducationUniversity of TorontoCanada
  2. 2.Fachbereich MathematikUniversität Duisburg-EssenGermany

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