The problem of the particular and its relation to the general in mathematics education |
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| Authors: | Vicen? Font and ángel Contreras |
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| Institution: | (1) Departament of Didàctica de les CCEE i la Matemàtica, Facultat de Formació del Professorat, Universitat de Barcelona, Campus Vall d’Hebron, Passeig de la Vall d’Hebron, 171, Barcelona, Catalonia, 08035, Spain;(2) Departamento de Didáctica de las Ciencias, Facultad de Humanidades y Ciencias de la Educación Univesidad de Jaén, Pasaje Las lagunillas, s/n Edificio 1, Jaén, Andalucía, 23071, Spain |
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| Abstract: | Research in the didactics of mathematics has shown the importance of the problem of the particular and its relation to the
general in teaching and learning mathematics as well as the complexity of factors related to them. In particular, one of the
central open questions is the nature and diversity of objects that carry out the role of particular or general and the diversity
of paths that lead from the particular to the general. The objective of this article is to show how the notion of semiotic
function and mathematics ontology, elaborated by the onto-semiotic approach to mathematics knowledge, enables us to face such
a problem.
This paper has been elaborated in the frame of the project I+D: MEC-FEDER: SEJ2004-06637/EDUC |
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| Keywords: | Process of generalization and particularization Generic element Semiotic function |
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