Jurnal Elemen
Vol 12 No 3 (2026): July

The epistemic path toward early algebraic knowledge: A didactical reconstruction

Septiani Yugni Maudy (Universitas Singaperbangsa Karawang)
Redo Martila Ruli (Universitas Singaperbangsa Karawang)



Article Info

Publish Date
06 Aug 2026

Abstract

Epistemological obstacles in acquiring variables and linear equations in one variable (LEOV) remain a systemic and unresolved issue in Indonesian mathematics education. Prior research has identified their symptoms but not their origins. This study reconstructs the epistemic path towards early algebraic knowledge by integrating the Anthropological Theory of the Didactic (ATD) and Didactical Design Research (DDR). Using a qualitative hermeneutic-phenomenological approach, ATD-based praxeological analysis was applied to the responses of 120 students in Grades VII to X in West Java, Indonesia, and to their teaching modules and lesson plans, followed by the design and implementation of a didactic sequence. Four obstacles were identified: ambiguity in the meaning of variables, difficulties with algebraic operations, procedural dependency without justification, and conceptual collapse when variables appear on both sides of an equation. Each was traced to the systematic absence of the logos block in didactical transposition. After implementation, full relational justification rose from 9.4% to 65.6%. The findings affirm that this epistemic path can be traversed only through designs that deliberately construct praxeological completeness, from practical technique to logical justification, with implications for curriculum and teacher professional development.

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Journal Info

Abbrev

jel

Publisher

Subject

Other

Description

Cakupan dan ruang lingkup Jurnal Elemen terdiri dari (1) kurikulum pendidikan matematika; (2) metode pembelajaran matematika; (3) media pembelajaran matematika; (4) pembelajaran matematika berbasis teknologi dan informasi, ; (5) penilaian dan evaluasi pembelajaran matematika; (6) kreativitas dan ...