RESEARCH PAPER
Improving prospective mathematics teachers’ reversible thinking ability through a metacognitive-approach teaching
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Department of Mathematics Education, Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia, Bandung, West Java, INDONESIA
Online publication date: 2023-04-14
Publication date: 2023-06-01
EURASIA J. Math., Sci Tech. Ed 2023;19(6):em2275
KEYWORDS
ABSTRACT
Reversible thinking ability is an individual ability to do a cognitive process by reverse action,
contributing to one of the student’s competencies in solving mathematical problems. Many
students encounter difficulties in solving problems that require reversible thinking due to the
limitedness of teachers’ proficiency in mastering this ability. Different studies have suggested
various teaching approaches to improve this ability in teacher education; however, teaching with
a metacognitive approach has not yet been addressed in the recent study. Therefore, this study
aims to improve prospective teachers’ reversible thinking ability through metacognitive-approach
teaching. A quasi-experimental method with a pre-test, intervention, and post-test design was
used in this study. The participants were 118 prospective mathematics teachers at two universities
in Bandung, Indonesia, divided into two groups: 58 were in the experimental group, and the rest
were in the control group. The participant’s initial mathematical ability (IMA) in both groups was
categorized into high, moderate, and low. Using t-test, Mann-Whitney test, and Kruskal-Wallis
test, the result shows a meaningful difference in the improvement of reversible thinking ability
between prospective teachers who received the metacognitive-approach teaching and those who
did not. However, there is no significant interaction effect between the teaching approach and
initial math ability on the improvement of reversible thinking ability. To conclude, the recent
study’s findings revealed that the metacognitive approach effectively improves prospective
teachers’ reversible thinking in all IMA levels. Thus, it needs to be considered one of the alternative
teaching approaches in higher education, especially in teacher education.
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