A network of notions, concepts and processes for fractions and rational numbers as an interpretation of Didactical Phenomenology

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4 février 2015

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info:eu-repo/semantics/OpenAccess



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Rational numbers

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Rubí Real et al., « A network of notions, concepts and processes for fractions and rational numbers as an interpretation of Didactical Phenomenology », HAL-SHS : sciences de l'éducation, ID : 10670/1.qsg2a2


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One of the main purposes of the research project that is being carried out in Mexico consists on building, from Filloy's point of view, a Local Theoretical Model (LTM) for fractions and rational numbers. For this purpose, four components of the LTM have to be constructed: models of formal competence, teaching models, models for the cognitive processes and models of communication. In this paper, a network of notions, concepts and processes for fractions and rational numbers that constitutes a fundamental part of the models of formal competence is described. This network was structured taking into account five mathematical processes grounded on Freudenthal's specimen of Didactical Phenomenology of fractions.

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