Students' Covariational Reasoning in Solving Integrals' Problems

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N.V. Harini, Y. Fuad, R. Ekawati

2018 Journal of Physics: Conference Series Vol. 947 Issue 1 Conference paper Cited by 5

Abstract

Covariational reasoning plays an important role to indicate quantities vary in learning calculus. This study investigates students' covariational reasoning during their studies concerning two covarying quantities in integral problem. Six undergraduate students were chosen to solve problems that involved interpreting and representing how quantities change in tandem. Interviews were conducted to reveal the students' reasoning while solving covariational problems. The result emphasizes that undergraduate students were able to construct the relation of dependent variables that changes in tandem with the independent variable. However, students faced difficulty in forming images of continuously changing rates and could not accurately apply the concept of integrals. These findings suggest that learning calculus should be increased emphasis on coordinating images of two quantities changing in tandem about instantaneously rate of change and to promote conceptual knowledge in integral techniques. © Published under licence by IOP Publishing Ltd.

Affiliations

Mathematics Department, Universitas Negeri Surabaya, Indonesia