Geodesic
On a definitional understanding of the root concept
Didactica Mathematicae, Tome 40 (2018), pp. 35-63.

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

The paper reports on a study of student difficulties inherent in understanding of the root concept. The situation was analysed in the context of three distinguished components of understanding of mathematical concepts. The first, as a mechanism associated with concept formation in terms of didactic theories. The second, as a learner experience resulting from the way of teaching the concept. As a third component, the influence of the formal definition on the ways student understand the notion. A complete comprehension of the mathematical concepts that includes the formal definition is described in this study as definitional understanding. The results of a didactic research diagnosing a way of definitional understanding of the root concept by students in one of the Polish schools are presented. Some aspects corresponding to the theoretical foundations of the roots were related to the way of teaching the concept. Some symptoms of misunderstanding the root concept are described. An attempt was made to identify and characterize the prime sources of the errors in relation to mathematical, psychological and pedagogical contexts.
DOI : 10.14708/dm.v40i0.6432
Mots-clés : definitional understanding, root, radical, procept 
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Michał Marcin Krówczyński. On a definitional understanding of the root concept. Didactica Mathematicae, Tome 40 (2018), pp.  35-63. doi : 10.14708/dm.v40i0.6432. http://geodesic.mathdoc.fr/articles/10.14708/dm.v40i0.6432/

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