Geodesic
Różne reprezentacje liczb rzeczywistych
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 9 (2017) no. 1, pp. 49-83.

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This article is devoted to the different representations of real numbers. In particular, the following types are distinguished and discussed: (1)representations based on theorems referring to the axiomatic characterization of the field of real numbers, (2) genetic representations – related to the construction of real numbers, (3) visual representations – mainly related to the geometrical way of presenting numbers. The paper addresses different representations of real numbers from a higher standpoint as well as from a classroom perspective.
Keywords: real numbers, number representations, transparent representation 
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Pieronkiewicz, Barbara. Różne reprezentacje liczb rzeczywistych. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 9 (2017) no. 1, pp. 49-83. http://geodesic.mathdoc.fr/item/AUPCDM_2017_9_1_a2/