AKSIOMA: Jurnal Program Studi Pendidikan Matematika
Vol. 15 No. 2 (2026)

BRIDGING OF ARITHMETIC AND ALGEBRA: A RELATIONAL LOCAL INSTRUCTIONAL THEORY

Lia Ardiansari (Universitas Panca Marga)
Faridahtul Jannah (Universitas Panca Marga)
M. Sahrul Rozi (Universitas Panca Marga)



Article Info

Publish Date
30 Jun 2026

Abstract

The transition from arithmetic to algebra is a critical phase in mathematics learning that often gives rise to misconceptions, particularly regarding the meaning of the equal sign. This study aims to build a conceptual bridge connecting basic arithmetic understanding with early algebraic ideas through the implementation of an e-module based on a didactic approach. The study used the Didactic Design Research (DDR) method. The design of the “Jembatan Aritmatika (Arithmetic Bridge)” e-module was developed based on a learning trajectory specifically designed as a solution to learning obstacles identified in the initial analysis stage, particularly in understanding the concept of equality and the use of mathematical symbols. This study involved 25 fifth-grade students at an elementary school in East Java. Data were collected through pre-tests and post-tests, questionnaires, and interviews. The results showed that this e-module was able to encourage a shift in students' thinking from explicit counting strategies to a relational understanding of the equal sign. Students began to apply representational and relational approaches in solving contextual problems involving simple systems of equations. These findings contribute to the development of a conceptual learning trajectory and emphasize the importance of systematic didactic interventions to improve algebraic literacy from an early age.

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Journal Info

Abbrev

matematika

Publisher

Subject

Education Mathematics

Description

AKSIOMA JOURNAL, e-ISSN: 2442-5419, p-ISSN: 2089-8703 is an information container has scientific articles in the form of research, the study of literature, ideas, application of the theory, the study of critical analysis, and Islāmic studies in the field of science Mathematics Education. AKSIOMA ...