@inbook {MATHEDUC.02324995,
author = {Duval, Raymond},
title = {Geometry from a cognitive point of view.},
year = {1998},
booktitle = {Perspectives on the teaching of geometry for the 21st century},
isbn = {0-7923-4990-3},
pages = {37-52},
publisher = {Kluwer, Dordrecht},
abstract = {Geometry involves three kinds of cognitive processes which fulfil specific epistemological functions: visualisation processes with regard to space representation for the illustration of a statement, for the heuristic exploration of a complex situation, for a synoptic glance over it, or for a subjective verification; construction processes by tools: construction of configurations can work like a model in that the actions on the representative and the observed results are related to the mathematical objects which are represented; reasoning in relationship to discursive processes for extension of knowledge, for proof, for explanation.},
msc2010 = {G40xx},
identifier = {1998f.04231},
}