Ideas del infinito, percepciones y conexiones en distintos contextos: el caso de estudiantes con conocimientos previos del cálculo diferencial e integral

Abstract

We present a research springing from a special interest in studying and exploring the infinite and its duality power-present, at a level where formal concepts of differential and integral calculus have already been introduced and where there appear interconnections and confusion between the «formal image» and the «informal image» of these concepts. This paper attempts to contribute to the debate of the finite and infinite problems at university level. It is framed within a qualitative study, the analysis of date is inductive and the focus of the research is of an exploratory, descriptive and interpretative kind. Eightynine students aged between 17 and 25 took part in this study.