Discrete or continuous – A model for a technology-supported discrete approach to calculusReport as inadecuate




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* Corresponding author 1 University of Würzburg

Abstract : In recent decades, the approach to calculus in mathematics classrooms has changed: a quite formal approach—closely linked to the teaching of calculus at university and based on the sequence concept—has been transformed to an intuitive access to the concepts of limit and derivative. The importance of sequences has so far decreased that they are sometimes no longer even taught in the calculus course. In recent years, this concept has been criticized for not developing adequate perceptions of the basic concepts of calculus and not sufficiently preparing the students for scientific courses at university. In this paper, we will present an alternative discrete step-by-step approach to the basic concepts of calculus. It shows the theoretical basis of the on-going project -ABC – A discrete Approach to the Basics of Calculus- see Weigand, 2014.

Keywords : Calculus discrete mathematics limit derivative digital technologies





Author: Hans-Georg Weigand -

Source: https://hal.archives-ouvertes.fr/



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