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Investigating Covariational Reasoning: What Do Students Show when Solving Mathematics Problems?
Rooselyna Ekawati, Yusuf Fuad, Ayunin Sofro, Linda Devi Fitriana

Universitas Negeri Surabaya


Abstract

Covariational reasoning plays significant role for solving problems. This study examines the covariational reasoning of postgraduate students when solving mathematics problems such as fraction, velocity and acceleration, proportion, and integral. 26 postgraduate students of mathematics education are involved in this study. Generally, mental action of students more prominent on fraction and proportion than on the other issues. On fraction and proportion problems, all students are able to fulfill all mental actions such as coordinating the value, the direction, and the amount of change of one variable, and also coordinating the average and the instantaneous rate of change of the function. However, on velocity, acceleration, and integral problems students can not show their mental actions well. The shape of their graph are irrespective with initial point, so that they only fulfill 3 of 5 mental actions in covariational reasoning. These findings suggest that learning in mathematics should place increased emphasis on problem involving graph to promote covariational reasoning of the students.

Keywords: Covariational reasoning, postgraduate students, fraction, velocity, acceleration, proportion, integral

Topic: Mathematics

Link: https://ifory.id/abstract/BWMrRwF6ygma

Conference: The 4th Annual Applied Science and Engineering Conference (AASEC 2019)

Plain Format | Corresponding Author (Rooselyna Ekawati)

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