AN ONTOSEMIOTIC APPROACH TO REPRESENTATIONS IN MATHEMATICS EDUCATION

Vicenç Font · Juan D. Godino

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Mathematics Education and Teaching Techniques Mathematics Education and Pedagogy History and Theory of Mathematics

Abstract

Research in didactics of mathematics has shown the importance that representations have in teaching and learning processes as well as the complexity of factors related to them. Particularly, one of the central open questions that the use of representations poses is the nature and diversity of objects that carry out the role of representation and of the objects represented. The objective of this article is to show how the notion of semiotic function and mathematics ontology elaborated by the ontosemiotic approach to mathematics knowledge, enables us to face such a problem, by generalizing the notion of representation and by integrating different theoretical notions used to describe mathematics cognition.

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1971Symbolic Interactionism: Perspective and Method.2026Problems of Representation in the Teaching and Learning of Mathematics 1989La théorie des champs conceptuels 1984Wittgenstein: A Social Theory of Knowledge 1976Trattato di semiotica generale 1998Representations, inscriptions, descriptions and learning: A kaleidoscope of windows 1971Louis Hjelmslev. Omkring sprogteoriens grundlæggelse. Festskrift udgivet af Københavns Universitet i anledning af Universitetets Aarsfest, 11 1943, Bianco Lunos Bogtrykkeri A/S, Copenhagen1943, pp. 3–113; also published separately by Ejnar Munksgaard, Copenhagen 1943. - Louis Hjelmslev. Prolegomena to a theory of language. Second, revised English translation of the preceding by Francis J. Whitfield. The University of Wisconsin Press, Madison1961, v + 144 pp.1998Representations and the psychology of mathematics education

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