JETL (Journal Of Education, Teaching and Learning)
Vol 8, No 1 (2023): Volume 8 Number 1 March 2023

Building Student’s Mathematical Connection Ability in Abstract Algebra: The Combination of Analogy-Contruction-Abstraction Stages

Junarti Junarti (IKIP PGRI Bojonegoro, Bojonegoro)
Ahmad Yani T (Universitas Tanjungpura, Pontianak)
Ahmad Kholiqul Amin (IKIP PGRI Bojonegoro, Bojonegoro)



Article Info

Publish Date
29 May 2023

Abstract

The objective of the study was to describe the effect of six types of mathematical connections (representation connections, structural connections, procedural connections, implication connections, generalization connections, and hierarchy connections) on abstract algebraic materials through four stages, i.e., abstraction, analogy-abstraction, construction-analogy, and construction. The study employed qualitative descriptive approaches, including tests, questionnaires, and interviews. The subjects of the study were chosen based on the responses to a questionnaire regarding the employed stages. Then, two subjects who could converse and were willing to be interviewed were chosen from each stage. Data collection techniques were conducted through four stages, i.e., 1) identifying the stages used; 2) identifying the ability of six types of student mathematical connections through predictive indicators; 3) describing the capabilities of the six types of connections through interviews; and 4) conducting source triangulation and method triangulation. The results indicated that the subjects who utilized the construction stage tended to be able to construct six types of mathematical connection links in a set, as well as standard and non-standard binary operations. The subjects who utilized the construction-analogy stage likely to be able to build three forms of representation connections, structural connections, and procedural connections in a set of standard binary operations. In characterizing the symbol of a set element and the binary operation of the standard form inside the closed property of the standard form, the subjects who used the analogy-abstraction stage have the same tendency as subjects who use the abstraction-construction stage.

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Journal Info

Abbrev

JETL

Publisher

Subject

Aerospace Engineering Education Social Sciences

Description

Journal of Education, Teaching and Learning is a peer-reviewed scientific open access, with e-ISSN : 2477-8478 and p-ISSN 2477-5924 published by Institute for Managing and Publishing Scientific Journals at STKIP Singkawang, Indonesia in 2015. In Last 2016 Journal of Education, Teaching and Learning ...