id: 05595619
dt: j
an: 2009e.00326
au: Wilhelmi, Miguel R.; Godino, Juan D.; Lacasta, Eduardo
ti: Didactic effectiveness of mathematical definitions: the case of the
absolute value.
so: Int. Electron. J. Math. Educ. 2, No. 2, 72-90 (2007).
py: 2007
pu: Gokkusagi, Ankara
la: EN
cc: E40 D20 C30
ut: definition; partial and holistic meanings; cognitive effectiveness;
absolute value; implicative and hierarchic statistical analysis;
ontosemiotic approach to mathematics cognition; theory of mathematic
education
ci:
li:
ab: 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.
rv: