Theoretical perspectives in the process of producing conjectures and implications for practice: types and steps

Authors

  • María Consuelo Cañadas
  • Jordi Deulofeu Piquet
  • Lourdes Figueiras
  • David A. Reid
  • Oleksiy Yevdokimov

Abstract

We propose a possible classification of the conjectures that arise in the context of mathematical problem solving, and of the different steps taken in the process. Starting from the results of various previous investigations, we elaborate the beginnings of a theoretical framework that permits an analysis of the conjecturing process in a problem-solving context, and we use it to analyze a particular example. Moreover, we discuss some implications of this investigation for practical Mathematical Education.

Keywords

Problem solving, conjectures

Published

2009-06-09

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