Muhammad Azam
IBADAT International University Islamabad

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The Evolution of Mathematical Representation Research in Realistic Mathematics Education: A PRISMA-Guided Bibliometric Review Putri Juliyanti; Arif Abdul Haqq; Muhammad Azam
International Journal of Contemporary Studies in Education (IJ-CSE) Vol. 5 No. 2 (2026)
Publisher : EDUPEDIA Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56855/ijcse.v5i2.2377

Abstract

Purpose – Mathematical representation is a core component of Realistic Mathematics Education (RME), enabling learners to construct mathematical meaning through multiple representations. Despite the growing body of research, existing reviews largely emphasize instructional effectiveness or bibliometric trends without explaining the field's intellectual evolution. This study mapped the evolution of mathematical representation research within RME by examining its research landscape, knowledge diffusion, intellectual structure, thematic development, and future directions. Methodology – An integrated Systematic Literature Review and bibliometric analysis was conducted following the PRISMA protocol. Thirty-eight English-language journal articles indexed in Scopus were analysed using VOSviewer through publication trend analysis, collaboration networks, keyword co-occurrence, overlay and density visualisations, and bibliographic coupling. Findings – Research has progressed through four developmental phases: Foundation, Expansion, Diversification, and Integration. The findings reveal global knowledge diffusion from the Netherlands as the theoretical origin to Indonesia as the principal site of contextual adaptation, with Malaysia serving as a key regional collaborator. Four interconnected intellectual domains emerged: instructional design, mathematical representation, assessment, and educational technology. Emerging research frontiers include longitudinal representational development, adaptive assessment, artificial intelligence, teacher professional learning, and cross-cultural implementation. Novelty – This study proposes a theory-oriented bibliometric synthesis that integrates research trends, knowledge diffusion, intellectual structures, thematic evolution, and research frontiers into a unified conceptual framework. Significance – The findings provide an evidence-based foundation for theory development, research prioritisation, and instructional innovation, advancing mathematical representation as a central construct in contemporary mathematics education.
Mapping Students' Errors in Mathematical Problem Solving Through the SOLO Taxonomy: A Qualitative Research Design Nia Kania; Mira Sagita; Muhammad Azam; Yasir Yasir; Yeni Dwi Kurino; Suci Trian Meliana; Rismayani Rismayani; Zaenal Arifin
International Journal of Mathematics and Mathematics Education Vol. 4 No. 2 (2026)
Publisher : EDUPEDIA Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56855/ijmme.v4i2.2170

Abstract

Purpose – Mathematical problem solving in Basic Mathematics requires first-year university students to interpret information, select relevant concepts, apply algebraic procedures, and justify conclusions coherently. However, students’ incorrect or incomplete responses cannot be adequately interpreted through right-or-wrong scoring alone. This study aims to analyse first-year students’ errors in transforming equations into the standard form of quadratic equations using the Structure of Observed Learning Outcomes (SOLO) Taxonomy. Methodology – This study employed a descriptive qualitative approach. The data were obtained from a representative written response produced by a first-year university student enrolled in a Basic Mathematics course. The student’s solution was analysed by identifying the location of errors, classifying the types of errors, and mapping the structural quality of the response into SOLO levels: prestructural, unistructural, multistructural, relational, and extended abstract. Findings – The findings show that the student demonstrated meaningful but inconsistent algebraic understanding. The student correctly transformed some equations into standard quadratic form and identified the coefficients (a), (b), and (c). However, errors occurred in expansion, sign manipulation, simplification, and algebraic justification. The overall response was classified as multistructural with emerging relational characteristics, indicating that the student used several relevant procedures but did not consistently integrate them into a coherent and accurate solution. Novelty – This study contributes an integrated analytical framework that combines error analysis and the SOLO Taxonomy to interpret both the types of mathematical errors and the structural quality of students’ responses. Significance – The findings may assist Basic Mathematics lecturers in designing diagnostic feedback, assessment rubrics, and instructional interventions that support students’ transition from procedural performance to relational understanding.
Wordwall-Supported Mathematics Instruction and Junior High School Students’ Mathematical Creative Thinking: A Quasi-Experimental Stud Virna Jatnika Sary; Ratu Sarah Fauziah Iskandar; Abdul Baist; Muhammad Azam
International Journal of Applied Learning and Research in Algebra Vol. 3 No. 2 (2026)
Publisher : EDUPEDIA Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56855/algebra.v3i2.2455

Abstract

Purpose – This study examines the effect of Wordwall-supported mathematics instruction on junior high school students’ mathematical creative thinking, with particular attention to fluency, flexibility, originality, and elaboration. It addresses the limited empirical evidence on how digital game-based learning supports domain-specific mathematical creativity in secondary education. Methodology – A quasi-experimental pretest–posttest nonequivalent control-group design involved 60 Grade 8 students in Tangerang, Indonesia. Thirty students received Wordwall-supported instruction and 30 received regular instruction. Mathematical creative thinking was measured using five open-ended tasks. Posttest scores were analysed using ANCOVA with pretest scores as a covariate, while normalised gain was used as a supplementary measure of improvement. Findings – After controlling for baseline performance, the experimental group achieved a higher adjusted posttest mean (86.73) than the control group (80.60), with an adjusted mean difference of 6.13 points, 95% CI [2.51, 9.74], F(1, 57) = 11.52, p = .001, partial η² = .168. The experimental group also showed a higher normalised gain (0.659 vs. 0.502), p = .002, with Hedges’ g = 0.85. Novelty – The study provides domain-specific evidence that Wordwall can support mathematical creativity when digital tasks are deliberately designed to elicit multiple solutions, strategic flexibility, original responses, and elaborated reasoning. Significance – The findings extend international research on digital game-based mathematics learning by showing how a widely accessible platform can support creative mathematical thinking in a lower-secondary context, offering a transferable instructional principle for technology-enhanced mathematics classrooms across diverse educational settings.