A network of notions, concepts and processes for fractions and rational numbers as an interpretation of Didactical Phenomenology
[SHS.EDU] Humanities and Social Sciences/Education
[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]
Full recordShow full item record
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.