Geodesic
Space, geometrical regularities and shapes in children's learning and teaching
Didactica Mathematicae, Tome 31 (2008).

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Geometrical activities for young children cannot be oriented towards the `ready-made' products like geometrical concepts or skills. An early childhood education could be dedicated to the gathering of experiences, which will be the 128 Ewa Swoboda base for a conscious mental process of creating such concepts at later stages of mathematical education. In other words { it is a very important, indispensable preparatory period for `true' mathematics, and at the same time, it is a period which can be devoted to stimulating the child's intellectual development. Vopenka wrote: In order to penetrate the geometrical world, we must turn attention to it. Hejny underlines the fact that the geometrical world emerges from the real one, from the observations and actions in this world. Analyses showed that the process of creating geometrical regularities goes beyond entertainment. It is a means of focusing attention on the geometrical world. During fun activities a child can perceive various geometrical phenomena and subordinate all further actions to them. In this way, relations on a plane acquire a status of a geometrical individuality. 
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Ewa Swoboda. Space, geometrical regularities and shapes in children's learning and teaching. Didactica Mathematicae, Tome 31 (2008). doi : 10.14708/dm.v31i0.18. http://geodesic.mathdoc.fr/articles/10.14708/dm.v31i0.18/

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