Educational Studies in Mathematics

, Volume 69, Issue 1, pp 33–52

The problem of the particular and its relation to the general in mathematics education

Article

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.

Keywords

Process of generalization and particularization Generic element Semiotic function 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Departament of Didàctica de les CCEE i la Matemàtica, Facultat de Formació del ProfessoratUniversitat de BarcelonaBarcelonaSpain
  2. 2.Departamento de Didáctica de las Ciencias, Facultad de Humanidades y Ciencias de la Educación Univesidad de JaénPasaje Las lagunillasJaénSpain

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