Journal of Research and Advances in Mathematics Education
Volume 7 Issue 3 July 2022

A Ruppert’s framework: How do prospective teachers develop analogical reasoning in solving algebraic problems?

Siti Lailiyah (UIN Sunan Ampel Surabaya)
Kusaeri Kusaeri (UIN Sunan Ampel Surabaya)
Endah Retnowati (State University of Yogyakarta)
Erman Erman (State University of Surabaya)



Article Info

Publish Date
31 Jul 2022

Abstract

It is widely agreed that knowing how prospective teachers develop analogical reasoning in solving problems is important. Some problem solving is domain specific and require particular ways of analogical reasoning skill, therefore this study aims to reveal the development of analogical reasoning and strategies used by prospective teachers. The research design use a qualitative method. As many as 69 mathematics prospective teachers were involved voluntarily to complete algebraic tasks and 12 of them were interviewed to investigate their analogical reasoning and solution strategies. The data analysis used the Ruppert’s framework consisting of four components: structuring, mapping, applying, and verifying. It was found that the first three components were fully performed by the prospective teachers. However, the verifying stage was applied by prospective teachers in different ways. The dominant strategy used was a combined strategy of multiplication and addition. Their strategies varied according to the subjects’ general ability. The more strategies employed in solving problems, the better their analogical reasoning becomes. This implies that instructional designs that will be developed by prospective teachers may vary. Therefore, during their candidature, they should be provided by many solving strategies in problem solving to develop students’ analogical reasoning.

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Journal Info

Abbrev

jramathedu

Publisher

Subject

Education Mathematics

Description

JRAMathEdu (Journal of Research and Advances in Mathematics Education) is open-access and peer-reviewed scholarly online journal managed by Department of Mathematics Education, Universitas Muhammadiyah Surakarta and published by Muhammadiyah University Press (MUP). The journal is published twice a ...