Infinito actual e inconsistencias : acerca de las incoherencias en los esquemas conceptuales de alumnos de 16-17 años

Abstract

We present in this article some of the results, considerations and contributions contained in a research work (Garbin, 2000) focused on the identification of inconsistencies and on representation, categorization and analysis of situations of coherence showed by students, in relation to their concept schemes associated to the concept of present infinity, within the context of problems set forth through different mathematical languages: verbal, geometrical, graphical, algebraic and analytical. From a methodological point of view this research is framed within a qualitative study. The data analysis is inductive and its aim is exploratory, descriptive and interpretative. Eighty 16-17 year old students took part in this study.