TY - GEN

T1 - Covariational Reasoning in an Approach to the Concept of Definite Integral Using GeoGebra Within an Economic Context

AU - Martínez-Miraval, Mihály André

AU - García-Rodríguez, Martha Leticia

AU - García-Cuéllar, Daysi Julissa

N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Covariational Reasoning

KW - Definite Integral

KW - GeoGebra

UR - http://www.scopus.com/inward/record.url?scp=85172692727&partnerID=8YFLogxK

U2 - 10.1007/978-3-031-33261-6_9

DO - 10.1007/978-3-031-33261-6_9

M3 - Conference contribution

AN - SCOPUS:85172692727

SN - 9783031332609

T3 - Lecture Notes in Networks and Systems

SP - 97

EP - 107

BT - Information Technology and Systems - ICITS 2023

A2 - Rocha, Álvaro

A2 - Ferrás, Carlos

A2 - Ibarra, Waldo

PB - Springer Science and Business Media Deutschland GmbH

T2 - International Conference on Information Technology and Systems, ICITS 2023

Y2 - 24 April 2023 through 26 April 2023

ER -