Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Mathematical Modelling from the Instrumentation of Improper Integrals

Version 1 : Received: 30 July 2021 / Approved: 31 July 2021 / Online: 31 July 2021 (14:39:43 CEST)

How to cite: Mateus-Nieves, E.; Wilfaver, H.M. Mathematical Modelling from the Instrumentation of Improper Integrals. Preprints 2021, 2021070711 (doi: 10.20944/preprints202107.0711.v1). Mateus-Nieves, E.; Wilfaver, H.M. Mathematical Modelling from the Instrumentation of Improper Integrals. Preprints 2021, 2021070711 (doi: 10.20944/preprints202107.0711.v1).

Abstract

Background: There is little clarity in the application of content related to improper integrals in university students, due to the absence of meaning, which prevents them from making a connection with everyday problem situations. Methods: we designed a mathematical modelling proposal where a specific situation involving the instrumentation, use and application of this type of integrals is experimented and solved with a population of engineering students, who learn to use them. Results: The importance of using mathematical modelling as a didactic-dynamic resource is highlighted because it helps students to reach an understanding of real situations involving improper integrals in different contexts. Conclusions: Despite the numerous errors detected in the students, this strategy made it possible to demonstrate the development of advanced mathematical thinking skills in young people.

Keywords

Improper integral; Mathematical modelling; Mathematical instrumentation.

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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