
05595619
j
2009e.00326
Wilhelmi, Miguel R.
Godino, Juan D.
Lacasta, Eduardo
Didactic effectiveness of mathematical definitions: the case of the absolute value.
Int. Electron. J. Math. Educ. 2, No. 2, 7290 (2007).
2007
Gokkusagi, Ankara
EN
E40
D20
C30
definition
partial and holistic meanings
cognitive effectiveness
absolute value
implicative and hierarchic statistical analysis
ontosemiotic approach to mathematics cognition
theory of mathematic education
Summary: 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.