Enhancing Students’ Geometric Reasoning through Rumah Gadang Ethnomathematics: A Local Instructional Theory Based on Realistic Numerical
DOI:
10.29303/jppipa.v12i5.15242Published:
2026-05-25Downloads
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.
Keywords:
Ethnomathematics Geometric transformation Local instructional theory Problem solving Realistic mathematics educationReferences
Annajmi, A., Kuswandi, D., Setyosari, P., & Praherdhiono, H. (2026). Integrating multiple representations and local cultural contexts into problem-based learning within a flipped classroom: A new framework for mathematics education. Social Sciences and Humanities Open, 13. https://doi.org/10.1016/j.ssaho.2026.102797 DOI: https://doi.org/10.1016/j.ssaho.2026.102797
Barwell, R., Boylan, M., & Coles, A. (2022). Mathematics education and the living world: A dialogic response to a global crisis. Journal of Mathematical Behavior, 68. https://doi.org/10.1016/j.jmathb.2022.101013 DOI: https://doi.org/10.1016/j.jmathb.2022.101013
Bautista, G., Soeharto, S., Prodromou, T., Gaylo, D., Sebial, S. C., & Lavicza, Z. (2026). Applying the torrance test: Developing a rubric to evaluate function art in educational settings. Thinking Skills and Creativity, 61. https://doi.org/10.1016/j.tsc.2026.102164 DOI: https://doi.org/10.1016/j.tsc.2026.102164
Búrigo, E. Z. (2025). From oral counting to plotting graphs: Advances in girls’ math education in the South of Brazil. Journal of Mathematical Behavior, 78. https://doi.org/10.1016/j.jmathb.2025.101239 DOI: https://doi.org/10.1016/j.jmathb.2025.101239
El Bhih, A., Benfatah, Y., Hassouni, H., Balatif, O., & Rachik, M. (2024). Mathematical modeling, sensitivity analysis, and optimal control of students awareness in mathematics education. Partial Differential Equations in Applied Mathematics, 11, 100795. https://doi.org/10.1016/j.padiff.2024.100795 DOI: https://doi.org/10.1016/j.padiff.2024.100795
Fan, J. (2026). An innovative data analysis toolkit with mathematical and theoretical frameworks: Its implications in higher education and the radiation sector. Journal of Radiation Research and Applied Sciences, 19(1), 102222. https://doi.org/10.1016/j.jrras.2026.102222 DOI: https://doi.org/10.1016/j.jrras.2026.102222
Fılız, T., & Öztel, N. Ç. (2026). Strategy instruction integrated with realistic mathematics education: A design-based research on teaching word problem solving to students with learning disabilities. Thinking Skills and Creativity, 61. https://doi.org/10.1016/j.tsc.2026.102203 DOI: https://doi.org/10.1016/j.tsc.2026.102203
Gbormittah, D., Yarkwah, C., Osiakwan, J. K., & Adom, G. (2025). Culturally responsive pedagogy model integration in mathematics education: Perceptions and practices among Ghanaian teachers. Social Sciences and Humanities Open, 12. https://doi.org/10.1016/j.ssaho.2025.102036 DOI: https://doi.org/10.1016/j.ssaho.2025.102036
Gutiérrez, R., Myers, M., & Kokka, K. (2022). The stories we tell: Why unpacking narratives of mathematics is important for teacher conocimiento. Journal of Mathematical Behavior, 70. https://doi.org/10.1016/j.jmathb.2022.101025 DOI: https://doi.org/10.1016/j.jmathb.2022.101025
Krüger, K., & Werth, G. (2025). Mathematics education for girls in Prussia 1890–1925. The Journal of Mathematical Behavior, 79, 101242. https://doi.org/10.1016/j.jmathb.2025.101242 DOI: https://doi.org/10.1016/j.jmathb.2025.101242
Lachney, M., Allen Kuyenga, M. C., & Robinson, C. (2025). Culturing computation: A multi-case study on students as ethnocomputing researchers during a virtual after-school program. International Journal of Child-Computer Interaction, 43. https://doi.org/10.1016/j.ijcci.2024.100719 DOI: https://doi.org/10.1016/j.ijcci.2024.100719
Lajos, J. (2023). An updated conceptualization of the intuition construct for mathematics education research. Journal of Mathematical Behavior, 71. https://doi.org/10.1016/j.jmathb.2023.101080 DOI: https://doi.org/10.1016/j.jmathb.2023.101080
Magnate, F. R. (2025). An ethnomodel of squid trap “Bubo” in Gigantes Island, Western Visayas. Philippines. Journal of Mathematical Behavior, 79. https://doi.org/10.1016/j.jmathb.2025.101254 DOI: https://doi.org/10.1016/j.jmathb.2025.101254
Marschall, G. (2023). Teacher self-efficacy sources during secondary mathematics initial teacher education. Teaching and Teacher Education, 132. https://doi.org/10.1016/j.tate.2023.104203 DOI: https://doi.org/10.1016/j.tate.2023.104203
Mocorro, R. E., & Mocorro, D. R. (2025). Social justice in mathematics classes: a case in a university in the Philippines. Journal for Multicultural Education. https://doi.org/10.1108/JME-02-2025-0053 DOI: https://doi.org/10.1108/JME-02-2025-0053
Opesemowo, O. A. G., Opatunji, K. O., Babatimehin, T., & Opesemowo, T. R. (2025). Analysis of 2022 and 2023 Osun State basic education certificate examination mathematics items using item response theory: Implications for large scale assessment. Social Sciences & Humanities Open, 13, 102381. https://doi.org/10.1016/j.ssaho.2025.102381 DOI: https://doi.org/10.1016/j.ssaho.2025.102381
Payadnya, I. P. A. A., Atmaja, I. M. D., Noviyanti, P. L., Wibawa, K. A., & Jayantika, I. G. A. N. T. (2025). Exploring “Wa Pat Nem Tus Dasa”: the potential of a Balinese traditional mod 2 counting system in culturally based mathematics learning. Journal for Multicultural Education, 19(4), 448–459. https://doi.org/10.1108/JME-02-2025-0050 DOI: https://doi.org/10.1108/JME-02-2025-0050
Payadnya, I. P. A. A., Prahmana, R. C. I., Noviantari, P. S., Wedasuwari, I. A. M., & Susrawan, I. N. A. (2025). Mathematics, local language, and cultural education: an exploration of Indonesian educators’ perspectives. Journal for Multicultural Education. https://doi.org/10.1108/JME-07-2025-0146 DOI: https://doi.org/10.1108/JME-07-2025-0146
Payadnya, I. P. A. A., Putri, G. A. M. A., Suwija, I. K., Saelee, S., & Jayantika, I. G. A. N. T. (2024). Cultural integration in AI-enhanced mathematics education: insights from Southeast Asian educators. Journal for Multicultural Education, 19(1), 58–72. https://doi.org/10.1108/JME-09-2024-0119 DOI: https://doi.org/10.1108/JME-09-2024-0119
Payadnya, I. P. A. A., Wulandari, I. G. A. P. A., Puspadewi, K. R., & Saelee, S. (2024). The significance of ethnomathematics learning: a cross-cultural perspectives between Indonesian and Thailand educators. Journal for Multicultural Education, 18(4), 508–522. https://doi.org/10.1108/JME-05-2024-0049 DOI: https://doi.org/10.1108/JME-05-2024-0049
Ramadhani, R., Soeharto, S., Arifiyanti, F., Prahmana, R. C. I., Saleh, A., & Lavicza, Z. (2025). Assessing quality and biases in ethnomathematics-based numeracy worksheets: A Many-Facet Rasch Model analysis. Social Sciences and Humanities Open, 12. https://doi.org/10.1016/j.ssaho.2025.101736 DOI: https://doi.org/10.1016/j.ssaho.2025.101736
Ravichandran, K., & Mohan, U. (2024). Transforming Education with Photogrammetry: Creating Realistic 3D Objects for Augmented Reality Applications. CMES - Computer Modeling in Engineering and Sciences, 142(1), 185–208. https://doi.org/10.32604/cmes.2024.056387 DOI: https://doi.org/10.32604/cmes.2024.056387
Sebsibe, A. S., Argaw, A. S., Bedada, T. B., & Mohammed, A. A. (2023). Swaying pedagogy: A new paradigm for mathematics teachers education in Ethiopia. Social Sciences and Humanities Open, 8(1). https://doi.org/10.1016/j.ssaho.2023.100630 DOI: https://doi.org/10.1016/j.ssaho.2023.100630
Semba, S. J. (2025). Bao game analysis via visibility graphs: A complex network approach to cultural gameplay dynamics. Physica A: Statistical Mechanics and Its Applications, 681. https://doi.org/10.1016/j.physa.2025.131063 DOI: https://doi.org/10.2139/ssrn.5362580
Silva, A. (2025). Group actions at the fingertip: A 4E approach to mathematical cognition in Vanuatu sand drawing. The Journal of Mathematical Behavior, 82, 101313. https://doi.org/10.1016/j.jmathb.2025.101313 DOI: https://doi.org/10.1016/j.jmathb.2025.101313
Suherman, S. (2024). Role of creative self-efficacy and perceived creativity as predictors of mathematical creative thinking: Mediating role of computational thinking. Thinking Skills and Creativity, 53. https://doi.org/10.1016/j.tsc.2024.101591 DOI: https://doi.org/10.1016/j.tsc.2024.101591
Suherman, S., & Vidákovich, T. (2022). Assessment of mathematical creative thinking: A systematic review. Thinking Skills and Creativity, 44. https://doi.org/10.1016/j.tsc.2022.101019 DOI: https://doi.org/10.1016/j.tsc.2022.101019
Suherman, S., & Vidákovich, T. (2023). Relationship between ethnic identity, attitude, and mathematical creative thinking among secondary school students. Thinking Skills and Creativity, 51. https://doi.org/10.1016/j.tsc.2023.101448 DOI: https://doi.org/10.1016/j.tsc.2023.101448
Suherman, S., & Vidákovich, T. (2025). Ethnomathematical test for mathematical creative thinking. Journal of Creativity, 35(2), 100099. https://doi.org/10.1016/j.yjoc.2025.100099 DOI: https://doi.org/10.1016/j.yjoc.2025.100099
Sun, J., & Wang, H. (2026). A new data analysis framework with mathematical foundation and implementations: Its case studies in higher education and radiation sciences. Journal of Radiation Research and Applied Sciences, 19(2), 102301. https://doi.org/10.1016/j.jrras.2026.102301 DOI: https://doi.org/10.1016/j.jrras.2026.102301
Tuominen, A. J. V. (2022). Pygmies, Bushmen, and savage numbers – a case study in a sequence of bad citations. Historia Mathematica, 62, 51–72. https://doi.org/10.1016/j.hm.2022.10.001 DOI: https://doi.org/10.1016/j.hm.2022.10.001
Utami, N. W., Sayuti, S. A., & Jailani, J. (2021). Indigenous artifacts from remote areas, used to design a lesson plan for preservice math teachers regarding sustainable education. Heliyon, 7(3). https://doi.org/10.1016/j.heliyon.2021.e06417 DOI: https://doi.org/10.1016/j.heliyon.2021.e06417
Vadivel, V. S., Song, I., & Bhati, A. (2026). Designing culturally-informed activities for interactive learning in Southeast Asia: A pilot study. Digital Applications in Archaeology and Cultural Heritage, 40. https://doi.org/10.1016/j.daach.2026.e00504 DOI: https://doi.org/10.1016/j.daach.2026.e00504
Vandendriessche, E. (2022). The concrete numbers of “primitive” societies: A historiographical approach. Historia Mathematica, 59, 12–34. https://doi.org/10.1016/j.hm.2022.01.006 DOI: https://doi.org/10.1016/j.hm.2022.01.006
Weingarden, M., Karsenty, R., & Koichu, B. (2025). Realistic visual representations as mediators between everyday and mathematical discourses in heterogeneous classrooms. The Journal of Mathematical Behavior, 81, 101300. https://doi.org/10.1016/j.jmathb.2025.101300 DOI: https://doi.org/10.1016/j.jmathb.2025.101300
Wibawa, K. A., Payadnya, I. P. A. A., Wena, I. M., & Saelee, S. (2025). Metacognitive strategies in solving mathematical realistic word problems: a case of Indonesian junior high school learners. Asian Education and Development Studies. https://doi.org/10.1108/AEDS-01-2025-0005 DOI: https://doi.org/10.1108/AEDS-01-2025-0005
Wieselmann, J. R., Menon, D., Price, B. C., Johnson, A., Asim, S., Haines, S., & Morison, G. (2025). What is STEM? Preservice elementary teachers’ conceptions of integrated STEM education. Teaching and Teacher Education, 165. https://doi.org/10.1016/j.tate.2025.105108 DOI: https://doi.org/10.1016/j.tate.2025.105108
Zhan, W. Y., & Louie, N. L. (2023). Promoting epistemic agency and reinscribing boundaries in mathematics education. International Journal of Educational Research, 123. https://doi.org/10.1016/j.ijer.2023.102271 DOI: https://doi.org/10.1016/j.ijer.2023.102271
Zhang, N., Ke, F., Dai, C. P., Southerland, S. A., & Barrett, A. (2025). Science and mathematics preservice teachers’ perceptions and experiences of practicing dialogic teaching in generative AI-powered virtual reality simulation. Teaching and Teacher Education, 171. https://doi.org/10.1016/j.tate.2025.105349 DOI: https://doi.org/10.1016/j.tate.2025.105349
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