Covariational Reasoning in an Approach to the Concept of Definite Integral Using GeoGebra Within an Economic Context

Mihály André Martínez-Miraval, Martha Leticia García-Rodríguez, Daysi Julissa García-Cuéllar

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Definite integral is usually associated with area problems and it is approached through a process of approximation with Riemann sums; this process can be particularly complex for a considerable number of students enrolled in non-science careers, hence it is important to develop intuitive notions in these students, and one option is to do so through the use of digital technologies. This study aims to analyze the covariational reasoning of university students who go through the stages of partition, product, sum and limit, in an approach to the concept of definite integral through the use of GeoGebra in economic context tasks. The theoretical approach of covariational reasoning and a qualitative methodology were considered. Behaviors associated with mental actions of a covariational reasoning up to the level of coordination of values in the stages of partition and sum, and smooth continuous covariation, associated with the use of the notion of limit at infinity, were identified. The use of digital technologies and the fact that the problem considered an economic context related to spending, raised the interest of the students to learn a new mathematical concept.

Original languageEnglish
Title of host publicationInformation Technology and Systems - ICITS 2023
EditorsÁlvaro Rocha, Carlos Ferrás, Waldo Ibarra
PublisherSpringer Science and Business Media Deutschland GmbH
Pages97-107
Number of pages11
ISBN (Print)9783031332609
DOIs
StatePublished - 2023
EventInternational Conference on Information Technology and Systems, ICITS 2023 - Cusco, Peru
Duration: 24 Apr 202326 Apr 2023

Publication series

NameLecture Notes in Networks and Systems
Volume692 LNNS
ISSN (Print)2367-3370
ISSN (Electronic)2367-3389

Conference

ConferenceInternational Conference on Information Technology and Systems, ICITS 2023
Country/TerritoryPeru
CityCusco
Period24/04/2326/04/23

Keywords

  • Covariational Reasoning
  • Definite Integral
  • GeoGebra

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