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Éclairage cognitif sur la complexité des différents systèmes de numération

Abstract : In this paper we develop an analysis of the numeration systems, based on their compatibility with the cognitive functions. In a first part, we define a taxonomy allowing to categorize all the systems of numeration, according to various levels of properties. In a second part, we see how these various taxonomical elements interact with certain peculiarities of the natural reasoning, revealing by the cognitive psychology.
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Xavier de Viviés. Éclairage cognitif sur la complexité des différents systèmes de numération. Expressions, Institut universitaire de formation des maîtres (IUFM) Réunion, 2010, Épistémologie et didactique de l'informatique et des mathématique, pp.23-38. ⟨hal-02388552⟩