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A new way for visual reasoning in geometry education

  • Philippe Bernat
  • Josette Morinet-Lambert
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1086)

Abstract

In this paper, we describe two open learning environments for geometry problem solving: CALQUES which is widely used in French secondary schools for mathematical courses, then CHYPRE which is an experimental improvement with reasoning tools. Our aim is not to imitate an expert method nor to implement an existing pedagogical approach but to give freedom to explore a problem in any way and to test any plan of problem-solving. Visual reasoning plays an important role in geometry and provides a far different approach of problem-solving than standard formal proofs. We will explain that a student using CHYPRE focuses only on the main statements that could be observed on the problem diagram and has the opportunity to skip the less important ones. To students, as well as to mathematicians, mathematical concepts are not mere definitions, but they consist of individuals' intuitions. These intuitions are formed by imagination and understanding.

Keywords

visual reasoning direct manipulation problem solving geometry 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Philippe Bernat
    • 1
  • Josette Morinet-Lambert
    • 1
  1. 1.Centre de Recherche en Informatique de Nancy/CNRSUniversité Henri Poincaré - Nancy IVandoeuvre les Nancy CedexFrance

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