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Journal on Mathematics Education
Published by Universitas Sriwijaya
ISSN : 20878885     EISSN : 24070610     DOI : https://doi.org/10.22342/jme
Core Subject : Education, Social,
Education Mathematics Social Sciences Other
The Journal on Mathematics Education (JME) is an international electronic journal that provides a platform for publishing original research articles, systematic literature reviews (invited contributions), and short communications related to mathematics education. The whole spectrum of research in mathematics education are welcome, which includes, but is not limited to the following topics, such as Realistic Mathematics Education (RME), Design/Development Research in Mathematics Education, PISA Task, Mathematics Ability, and Ethnomathematics.
Arjuna Subject : Ilmu Sosial - Pendidikan
Articles 310 Documents
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Topological thinking in Bugis burial customs: Ethnomathematical insights from Mampu Cave Jafaruddin; Tahmir, Suradi; Amda, Nayla Faiqah
Journal on Mathematics Education Vol. 16 No. 4 (2025): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v16i4.pp1193-1212

Abstract

Mathematics has traditionally been perceived as abstract and disconnected from cultural practices; however, emerging ethnomathematical research suggests that sophisticated mathematical concepts are embedded within indigenous knowledge systems. This study employs an ethnographic approach to identify and analyze topological concepts within Bugis burial customs at Mampu Cave, Bone Regency, South Sulawesi, Indonesia. Through three months of fieldwork combining participant observation, semi-structured interviews, and mathematical analysis of burial structures, we documented the Sijello To Mampu petrification legend and examined spatial arrangements, carved patterns, and transformation narratives. The investigation revealed three levels of topological sophistication: homeomorphic transformations implicit in human-to-stone petrification narratives that preserve topological invariance; deliberate geometric symmetries and path-connected spatial arrangements in burial configurations; and a seven-crossing knot pattern in carved burial markers yielding a calculable Alexander Polynomial. These findings were systematized into a Realistic Mathematics Education (RME) framework progressing from concrete cultural experiences through abstraction to formal topological knowledge, integrating Bugis noble values (pangadereng) throughout. The study demonstrates that advanced topological thinking exists within traditional Bugis burial customs, challenging conventional boundaries between formal and informal mathematical knowledge while extending D'Ambrosio's ethnomathematical framework to encompass highly abstract mathematical domains. The developed educational framework integrates indigenous knowledge into advanced mathematics education, thereby contributing to curriculum decolonization and heritage preservation while enhancing engagement among students from similar cultural backgrounds.
Analytical rubrics for mathematical representation behaviour assessment: Development, validation, and cross-cultural application Harisman, Yulyanti; Asra, Aqilul; Hafizatunnisa; Elniati, Sri; Adnan, Mazlini
Journal on Mathematics Education Vol. 16 No. 4 (2025): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v16i4.pp1137-1166

Abstract

Mathematical representation plays a pivotal role in students’ understanding, reasoning, and problem-solving processes. Despite its centrality in mathematics education, systematic approaches to assessing representational behavior remain limited, particularly within diverse cultural and curricular contexts. Existing assessment practices often emphasize cognitive outcomes, overlooking affective, psychomotor, and meta-representational dimensions that shape students’ mathematical understanding. Addressing this gap, the present study developed and validated an analytical rubric designed to assess mathematical representation behavior comprehensively across these four domains. Grounded in the Educational Design Research (EDR) framework, the rubric was constructed through four iterative stages—reflection, recording, grouping and naming, and application. Six mathematics education experts from Indonesia and Malaysia participated in the validation process, while empirical data were collected from 42 undergraduate students who had completed a geometry course. The analysis revealed strong content validity, with Aiken’s V coefficients ranging from 0.78 to 0.93 and full expert agreement, confirming the rubric’s clarity and relevance in evaluating representational behaviors. The rubric categorized student performance into three levels—Eikasia, Dianoia, and Intellectus—providing a nuanced diagnostic framework for assessing students’ mathematical representation. This study contributes to the field by introducing a cross-culturally grounded assessment tool that integrates cognitive, affective, psychomotor, and meta-representational perspectives. The findings highlight the rubric’s potential as both a formative and diagnostic instrument, enhancing the precision of assessment and offering insights for improving mathematics instruction and future digital-based evaluation practices.
How to construct theorems of parallelism condition? A study of learning obstacles and GeoGebra-based didactical design Herizal; Priatna, Nanang; Prabawanto, Sufyani; Jupri, Al
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp277-298

Abstract

In Euclidean geometry, parallelism constitutes a foundational concept from which numerous geometric ideas are derived. Despite its fundamental role in geometry and its importance in developing deductive and logical reasoning, research on the concept of parallelism—particularly concerning students’ learning obstacles and corresponding didactical approaches—remains limited, especially in higher education contexts. This study investigates the construction of theorems related to parallelism conditions by examining learning obstacles and implementing a GeoGebra-based didactical design within the framework of the Theory of Didactical Situations. Employing a qualitative approach with a phenomenological hermeneutic design, the study involved 64 undergraduate students from the Mathematics Education Department of a public university in Aceh, Indonesia, to identify the learning obstacles, and 35 students who participated in the implementation of the designed instructional intervention. Data were collected through document analysis, interviews, classroom observations, and audio–video recordings. The data analysis followed the three stages proposed by Miles and Huberman: data reduction, data display, and conclusion drawing. The findings revealed that students’ understanding of the theorems concerning parallelism conditions was impeded by three primary types of learning obstacles: epistemological, didactical, and ontogenic. To address these challenges, a GeoGebra-based didactical design was developed and implemented. The results demonstrated that this design effectively mitigated the identified obstacles and facilitated students’ construction of the theorems of parallelism conditions. Furthermore, the implementation appeared to foster a gradual shift in students’ learning orientation from procedural toward conceptual understanding, although this transition was not entirely uniform. Finally, the study highlights the pedagogical significance of integrating didactical situation theory into the learning process and employing dynamic visualization tools such as GeoGebra to support the transition from empirical to deductive mathematical reasoning.
Ethno-STEAM as a culturally responsive framework: Examining collaborative skills through Kawung batik design Astuti, Dwi; Retnawati, Heri; Prahmana, Rully Charitas Indra
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp259-276

Abstract

Twenty-first-century education necessitates that students cultivate collaborative competencies in tandem with cognitive abilities. However, structured pedagogical models for developing and assessing collaboration remain limited, particularly those grounded in culturally responsive frameworks. This study examines the implementation of the Ethno-STEAM learning model, which integrates ethnomathematical principles with interdisciplinary STEAM education through the LOCAL syntax—Link with Culture, Observe and Organize, Connect with STEAM, Act through Creation, and Learn and Reflect. The model explicitly aligns each instructional stage with specific indicators of collaboration: active engagement, social interaction, decision-making, and evaluative reflection. Employing a mixed-methods design, the study involved 84 eighth-grade students from three junior high schools in Yogyakarta, Indonesia. Data were collected through self-assessment questionnaires, peer evaluations, classroom observations, and structured interviews. Quantitative data were analyzed using descriptive statistics and paired-samples t-tests to compare self- and peer-assessment scores, while qualitative data underwent thematic analysis to elucidate students’ reflections on collaboration at each stage of the LOCAL model. The quantitative results indicated moderate to high levels of collaboration, with the highest mean score in social interaction (M=3.27) and the lowest in decision-making (M=3.04). A statistically significant difference was found between self- and peer-assessment scores, t(83)=2.204, p=.030, d=.240, suggesting that students exhibited positive self-awareness while also benefiting from multiple evaluative perspectives. Thematic findings revealed that engagement with cultural contexts enhanced active participation, and that gender-based communication tendencies affected the quality of social interaction. Finally, the LOCAL model effectively scaffolds the development of students’ collaborative competencies in culturally meaningful ways. It provides educators with a systematic, pedagogically grounded framework that unites ethnomathematical values with the interdisciplinary goals of 21st-century STEAM education.
Mathematical thinking processes based on decision-making types in Grade VIII numeracy: Foundations for differentiated instruction in Geometry Rosita, Cita Dwi; Setiyani; Asmara, Andes Safarandes; Sumarwati, Sri; Suprayo, Try
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp1-26

Abstract

Mathematical thinking ability in solving numeracy problems is a crucial 21st-century competency that students must possess to support critical, analytical, and problem-solving skills. However, in practice, students demonstrate diverse ways of making decisions when confronted with numeracy problems, leading to variations in mathematical thinking processes and often resulting in disparities in learning outcomes. This study aims to analyze students’ mathematical thinking processes based on decision-making types: namely intuitive, empirical, heuristic, and rational and to design differentiated instruction aligned with the characteristics of each type. A qualitative approach was employed, with data collected through numeracy tests and observations. The findings reveal that intuitive students tend to rely on visualization and prior experiences without formal proof; empirical students emphasize concrete measurement and validation through discussion; heuristic students demonstrate flexibility in exploring solution strategies and evaluating alternatives, while rational students think systematically in a deductive and argumentative manner. Based on these findings, differentiated instruction was designed in terms of content, process, and product, allowing teachers to adapt materials, strategies, and forms of assessment to students’ decision-making types. The study concludes that differentiated instruction that takes decision-making types into account has the potential to optimize students’ mathematical thinking processes and enhance numeracy competence in the domain of geometry.
Evaluating interactive R-Shiny based mathematics learning media through motivation and engagement pathways in border-region schools Simarmata, Justin Eduardo; Purnomo, Miko; Fallo, Kristoforus
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp225-246

Abstract

Persistent disparities in mathematics learning outcomes between urban and border-area schools underscore enduring structural inequities linked to limited access to effective, contextually appropriate digital learning environments. Although technological integration in education has expanded substantially, empirical research examining the pedagogical effectiveness of interactive computational platforms—such as those developed using R-Shiny—remains limited, particularly in geographically marginalized regions. This study investigates the effectiveness of R-Shiny-based interactive mathematics learning media in enhancing students’ conceptual understanding and learning achievement. A quantitative research design employing a pretest–posttest approach was utilized, supported by validated questionnaires administered to 101 tenth-grade students enrolled in senior high schools along the Indonesia-Timor Leste border. Data were analyzed using Confirmatory Factor Analysis (CFA) to establish construct validity and Structural Equation Modeling (SEM) to test hypothesized relationships among learning motivation, student engagement, user satisfaction, conceptual understanding, and perceived academic performance. Descriptive statistics revealed consistent improvements in posttest scores relative to pretest results, signifying measurable gains in conceptual understanding. Moreover, SEM analysis indicated that learning motivation, student engagement, and user satisfaction each exerted positive and statistically significant effects on conceptual understanding, which in turn significantly predicted perceived academic performance. Collectively, these findings suggest that R-Shiny-based interactive media foster not only improved cognitive outcomes but also strengthen motivational and engagement-related processes that mediate mathematics learning in geographically disadvantaged educational settings.
Project-based learning in teacher education: A reflection on analysing prospective elementary teachers’ knowledge of math, didactics, and technology Putra, Zetra Hainul; Alim, Jesi Alexander; Melihayatri, Ningrum; Dahnilsyah; Afrillia, Yesi Martha; Aljarrah, Ayman
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp179-198

Abstract

Teacher education programs play a crucial role in equipping prospective teachers with the necessary skills to teach mathematics effectively in elementary schools. However, incorporating mathematical, didactic, and technological knowledge remains a challenge. This study aims to investigate the potential of Project-Based Learning (PjBL) to support the development of prospective elementary teachers’ mathematical, didactic, and technological knowledge. Empowering a qualitative design, this study adapted a didactic engineering approach grounded in the Anthropological Theory of the Didactic (ATD). The participants comprised 28 third-year prospective elementary teachers. Data collection involved project documents, observations, reflective journals, and interviews. The findings indicate notable progress in participants’ capacity to design contextual and visual mathematics tasks; however, their theoretical justification was still limited. Thematic coding of the data explained a paradigm shift towards active and experienced teaching. However, reflections on the pedagogical functions of technological tools remained underdeveloped. The study suggests incorporating theory-based reflection and praxeological analysis into teacher education curricula to enhance prospective teachers’ capacity to apply teaching theories in practice, engage in reflective practice, and adapt to diverse students’ needs.
Statistical evaluation of student performance and response patterns in educational assessments in a university context Suárez-Durán, Mauricio; Pacheco, Alonso Barrera; Rodríguez-Nieto, Camilo Andrés; Moll, Vicenç Font
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp27-42

Abstract

This study investigates undergraduate students’ performance on a university-level statistics assessment and evaluates the psychometric quality of the instrument using both Classical Test Theory (CTT) and Item Response Theory (IRT). The assessment was administered to 431 students enrolled in engineering and business programs and comprised 16 multiple-choice items selected from an 85-item bank. These items were aligned with four performance indicators related to inferential statistics and regression analysis and were further classified according to cognitive demand and representational format (graphical, tabular, and textual). Descriptive results indicate that the majority of students achieved acceptable levels of performance (scores ≥ 3 on a five-point scale). However, reliability analyses revealed low internal consistency (Cronbach’s α < 0.60), including a negative alpha coefficient for one indicator, suggesting weaknesses in construct validity. IRT analyses further demonstrated that the item bank was disproportionately weighted toward low-difficulty items and that certain constructs—most notably those involving tabular representations—were negatively associated with overall test performance (0.47). In contrast, items requiring part–whole reasoning (0.73) and conceptual understanding (0.70) emerged as the strongest predictors of student success. Collectively, these findings indicate that university statistics assessments should extend beyond procedural computation to foreground conceptual interpretation, proportional reasoning, and meaningful connections across representations. The study underscores the need for improved assessment design that achieves an appropriate balance among item difficulty, discriminative capacity, and cognitive alignment. Future research should replicate these analyses across multiple cohorts and incorporate qualitative approaches to more deeply examine students’ statistical reasoning processes.
Bridging a framework for mathematical abilities: How set theory becomes the ultimate problem-solving algorithm Ma'rup; Talib, Ahmad; Tahmir, Suradi; Rusdin
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp69-88

Abstract

Set theory functions as a foundational structure in mathematics, underpinning logical reasoning and the interpretation of relationships across diverse mathematical contexts. Nevertheless, research in mathematics education indicates that students often experience difficulty transferring abstract set-theoretic concepts into effective strategies for solving contextual problems. This challenge reflects a critical pedagogical gap: the lack of a systematic instructional framework that explicitly links the logical structure of set theory to students’ problem-solving processes. To address this gap, the present study proposes a novel pedagogical construct, termed the Bridge Model of the Set Theory Framework, which is designed to mediate between conceptual understanding and applied problem-solving competence. The primary aim of this study is to develop and explicate the Bridge Model and to examine how students employ it to operationalize set-theoretic concepts when engaging with contextual mathematical problems. A qualitative research design using a case study methodology was adopted. Data were collected through classroom observations, semi-structured interviews with mathematics teachers and purposively selected students, and analysis of students’ written solutions. Participants were selected based on their demonstrated engagement with set concepts. Data analysis was conducted inductively using narrative and grounded theory approaches to identify patterns in students’ cognitive and representational practices. The findings reveal recurrent difficulties in students’ translation of contextual information into formal mathematical representations and result in a three-phase Bridge Model, namely problem decontextualization, symbolic mapping of sets, and logical solution validation. Theoretically, this study contributes to mathematics education literature by articulating a structured mechanism that connects abstract set theory with mathematical reasoning in context. Practically, the model offers a principled instructional guide for teaching set theory as a core logical tool, supporting students’ analytical reasoning and systematic problem-solving abilities.
Uncovering learning poverty in mathematics classrooms: Linking learning gaps, instructional practices, and teacher professional learning through SUPER-LS program and slow pedagogy Fitriati, Fitriati; Novita, Rita; Hidayat, Arif; Khairunnisak, Cut
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp115-134

Abstract

Mathematics learning poverty remains a pressing challenge in Indonesia, where a substantial proportion of students fail to attain curriculum-level conceptual understanding. Although national and international large-scale assessments have documented the scope of this problem, comparatively little research has examined how mathematics learning poverty manifests at the classroom level in terms of students’ conceptual thinking, instructional practices, and teachers’ professional learning needs. Addressing this gap, the present study conducts a classroom-based needs analysis to investigate mathematics learning poverty and to explore how a school–university partnership mediated through lesson study (SUPER-LS), informed by principles of slow pedagogy, may offer a context-sensitive response. A convergent mixed-methods design was employed. Quantitative data were collected through diagnostic assessments administered to 336 Grade 8 students, while qualitative data were obtained from structured observations of 12 mathematics lessons and semi-structured interviews with six mathematics teachers. Quantitative results indicate substantial conceptual deficits (M = 32.57 out of 100, SD = 17.45), particularly in fractions and algebraic expressions. Analysis of student responses reveals systematic misconceptions and fragile conceptual understanding rather than random error. Classroom observations further show predominantly teacher-centered and fast-paced instructional practices, with limited opportunities for student questioning, reasoning, and reflective engagement. Teacher interviews highlight a strong commitment to improving student understanding, alongside constraints related to instructional time, workload, and examination pressures. Taken together, these findings demonstrate that mathematics learning poverty emerges from the interaction of student-level misconceptions, instructional practices, and structural conditions. The study provides an empirical foundation for designing diagnostic-informed professional learning. Within this context, SUPER-LS and slow pedagogy function as context-responsive frameworks to support deeper mathematical learning, collaborative teacher inquiry, and more reflective instructional practices aimed at mitigating mathematics learning poverty.

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