WSEAS Transactions on Advances in Engineering Education
Print ISSN: 1790-1979, E-ISSN: 2224-3410
Volume 19, 2022
Constructing the Continuity Concept
Authors: ,
Abstract: Key concepts in Mathematics, like derivative or integral, are connected with the notions of limit and continuity. Therefore, the construction of these concepts is relevant and should be well understood by the students. In this paper the construction of the continuity concept by the students is studied, without relying on the limit for that construction. With this purpose in mind, we start by defining the theoretical framework based on Abstraction in Context. After that, a continuity notion that does not depend on limit is presented. Finally, the results of a qualitative study performed with Public Management Quantitative Methods students, from the School of Technology and Management of the Polytechnic Institute of Leiria, is presented. The epistemic actions that were developed by the students while building the continuity notion are presented and analysed.
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Pages: 109-120
DOI: 10.37394/232010.2022.19.11