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All Journal Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika Edumatika
Kgaladi Maphutha
University of Limpopo, South Africa
Computer Science & IT Education Mathematics Social Sciences

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Learners’ Translation Ability Within and Among Representations when Solving Trigonometric Equations Livhalani Dau; Kgaladi Maphutha; Paul Mutodi; Satsope Maoto
Edumatika Vol 9 No 1 (2026): May 2026, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v9i1.6787

Abstract

Background: Trigonometry remains a persistent challenge for many learners, particularly when translating within and among different representations (DR) when solving trigonometric equations. While translation of representations is widely studied, limited research has examined how learners translate within and among DR specifically when solving trigonometric equations. Purpose: This study aims to explore learners’ translation ability within and among DR when solving trigonometric equations. Method: A qualitative case study design within an interpretive paradigm was conducted involving 63 Grade 11 learners, purposively selected in Mogalakwena, Limpopo, South Africa. Data was collected through learners’ written class works responses and task-based interviews and analysed using inductive thematic analysis guided by the Multiple Representations Translations Theory. Findings: Many learners relied predominantly on symbolic representation and lack the ability to translate skills within and among diagrammatic, verbal, and real-life representations, leading to fragmented reasoning and incorrect solutions. Implications: The study recommends that when teachers facilitate learning on solving trigonometric equations, they should not focus on one representation, as the ability to translate within and among DR is a critical threshold for conceptual understanding. Originality: This study provides empirical insight of how learners translate within and among DR in solving trigonometric equations.
Literasi dan aljabar dalam penalaran matematika melalui tes berbasis komputer:Tinjauan literatur sistematis Fitriyani Fitriyani; Duano Sapta Nusantara; Rohati Rohati; Kgaladi Maphutha
Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika Vol 12 No 1 (2026): Jurnal Math Educator Nusantara
Publisher : Program Studi Pendidikan Matematika, Universitas Nusantara PGRI Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29407/jmen.v12i1.27709

Abstract

This systematic literature review (SLR) aims to analyze and synthesize the role of  literacy and algebraic proficiency in predicting students' mathematical reasoning abilities, specifically in the context of the Computer-Based Written Exam (UTBK). The SLR method used in this study is a review of 18 articles, consisting of 11 documents from the Scopus database and 7 from the Google Scholar database, from 2019-2025. Using bibliometric analysis with the VOSviewer application, it shows that students' difficulties often arise at the stage of understanding problem narratives (literacy) before they are able to model and generalize algebra (algebraic literacy), which then leads to their logistical reasoning. However, the existing literature data indicates a research gap because no study has explicitly used structural modeling (SEM) to quantitatively test and validate the causal relationship pathways between these three variables. Therefore, the main recommendation of this study is to develop a rigorous structural model, supported by diagnostic error analysis based on Newman's analysis (NEA), to provide a strong foundation for focused and effective pedagogical interventions
Co-Authors Duano Sapta Nusantara Fitriyani Fitriyani Livhalani Dau Paul Mutodi Rohati Satsope Maoto