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All Journal Jurnal Elemen Jurnal Penelitian Pendidikan IPA (JPPIPA)
Ainil Mardhiah
Universitas Negeri Padang
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Education Materials Science & Nanotechnology Physics Other

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Enhancing Students’ Geometric Reasoning through Rumah Gadang Ethnomathematics: A Local Instructional Theory Based on Realistic Numerical Ainil Mardhiah; Armiati; Yerizon; I Made Arnawa
Jurnal Penelitian Pendidikan IPA Vol 12 No 5 (2026): In Progress
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v12i5.15242

Abstract

This study developed a Local Instructional Theory (LIT) on geometric transformation based on Realistic Mathematics Education (RME) integrated with ethnomathematics of Rumah Gadang Minangkabau to enhance students' mathematical problem-solving ability. Using design research combining Plomp's development model and Gravemeijer and Cobb's framework, the research produced a Hypothetical Learning Trajectory, teacher's guide, and student workbook. Validation by experts showed very high validity scores: HLT (3.53), teacher's book (3.45), and student's book (3.49). Practicality testing revealed very practical ratings: teacher's book (92.50%) and student's book (83.97%). Effectiveness was demonstrated through post-test results, with 71.88% of students achieving mastery criteria and significant improvement across all problem-solving indicators. The findings indicate that integrating cultural contexts through ethnomathematics within an RME framework effectively supports students' conceptual understanding and problem-solving skills in geometric transformation. This LIT provides a culturally responsive instructional model that bridges abstract mathematical concepts with students' lived cultural experiences.
Students’ mathematical problem-solving based on geometric thinking skills in circle topic: a mixed-method research Mirna Mirna; Hamdani Syaputra; Dewi Murni; Nur 'Aini; Ainil Mardhiah
Jurnal Elemen Vol 12 No 3 (2026): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i3.34070

Abstract

Despite the central role of geometry in the senior high school curriculum, students continue to struggle with abstract concepts in circle topics, often relying on rote memorization rather than conceptual understanding. This study employed a mixed-methods sequential explanatory design involving 69 senior high school students selected through purposive sampling. Data were collected using the Van Hiele geometry test to measure geometric thinking skills and a circle problem-solving test based on Polya’s stages. Quantitative data were analyzed using Pearson product–moment correlation, while qualitative data were examined through document analysis of students’ written responses. The results revealed a statistically significant but weak positive correlation between geometric thinking skills and mathematical problem-solving abilities (r = 0.277, p = 0.21), with geometric thinking contributing only 7.7% to the variance (R² = 0.077). Qualitative findings showed notable discrepancies: some students with low geometric thinking achieved high problem-solving scores through procedural approaches, while others with high geometric thinking performed poorly due to difficulties in execution and representation. These findings imply that improving geometric thinking alone is insufficient to enhance problem-solving performance. Mathematics instruction should move beyond rote memorization by integrating visualization activities and explicit heuristic training to better connect conceptual understanding with effective problem-solving strategies.
Co-Authors Armiati Dewi Murni Hamdani Syaputra I Made Arnawa Mirna Mirna Nur 'Aini Yerizon