Didactic Effectiveness of Mathematical Definitions: The Case of the Absolute Value
Miguel R. Wilhelmi, Juan D. Godino, Eduardo Lacasta
More Detail

Abstract

Quite often a mathematical object may be introduced by a set of equivalent definitions. A fundamental question is determining the “didactic effectiveness” of the techniques for solving a kind of problem associated with these definitions; this effectiveness is evaluated by taking into account the epistemic, cognitive and instructional dimensions of the study processes. So as to provide an example of this process, in this article we study the didactic effectiveness of techniques associated with different definitions of absolute value notion. The teaching and learning of absolute value are problematic; this is proven by the amount and heterogeneity of research papers that have been published. We propose a “global” study from an ontological and semiotic point of view. 

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, 2007, Volume 2, Issue 2, 72-90

https://doi.org/10.29333/iejme/176

Publication date: 06 Jul 2007

Article Views: 2938

Article Downloads: 1950

Open Access References How to cite this article