F. Cordier et al., THE EFFECTS OF PREFERRED REPRESENTATIONS ON SOME TASKS USING SOLID GEOMETRICAL FIGURES, European journal of psychology of education, 12(3), 1997, pp. 305-314
Privileged (typical basic-level) representations are cognitive represe
ntations in which figurative features play a significant part. We spec
ifically consider studies on the conventional point of view in object
perception (Palmer, Rosch, Chase, 1981). We propose an analysis of sol
id geometrical problems in the field of typicality theory and more gen
erally in the theoretical field of mental models. Applied to this geom
etrical domain, the analysis suggests that individual cognitive repres
entations - corresponding with different points of view from which a f
igure can be seen - are more or less representative examples of the ca
tegory, that is to say they correspond more or less with the mental mo
del built by the subject in this domain. Task 1 emphasizes the most re
presentative point of view for four solid geometrical figures chosen b
y the experimenter. Then, we analyse two tasks on each figure from bot
h the typical and non typical points of view. Errors occur most freque
ntly when the geometrical figure is seen from its non typical viewpoin
ts. Particular attention should be paid to this factor in analysing er
rors made by subjects.