Integrating technology, ethnomathematics, and realistic mathematics education in learning statistics: A learning trajectory
##plugins.themes.bootstrap3.article.main##
Abstract
Statistics is a critical subject for developing students' academic and career competencies, yet it remains challenging for many students due to its abstract nature. To address this issue, a study was conducted to design a learning trajectory for teaching statistical concepts by integrating technology, ethnomathematics, and realistic mathematics education (TE-RME) within the culturally relevant context of pranata mangsa, a traditional Javanese calendar system. Employing a design research methodology, the study involved 32 eighth-grade students from a junior high school in Semarang, Indonesia. It was conducted in three phases: preparation for the experiment, designing learning activities, and retrospective analysis. The resulting learning trajectory consisted of three structured activities: observing pranata mangsa videos to collect and present data, deriving formulas for measures of central tendency, and exploring methods for calculating data dispersion. Findings indicated that the integration of pranata mangsa in the TE-RME framework significantly enhanced students' understanding of statistical concepts by connecting abstract ideas to culturally meaningful contexts. This approach facilitated quicker and more meaningful learning, demonstrating the effectiveness of incorporating local wisdom into mathematics education. The study also highlights the potential for future research to explore other culturally relevant contexts to teach mathematical concepts, further advancing the field of culturally responsive education.
##plugins.themes.bootstrap3.article.details##

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
The author is responsible for acquiring the permission(s) to reproduce any copyrighted figures, tables, data, or text that are being used in the submitted paper. Authors should note that text quotations of more than 250 words from a published or copyrighted work will require grant of permission from the original publisher to reprint. The written permission letter(s) must be submitted together with the manuscript.References
Andzin, N. S., Sari, P. Y. P., Widodo, R. C., Sukowati, D. I., Indriastuti, S., & Nursyahidah, F. (2024). Arithmetic sequences and series learning using realistic mathematics education assisted by augmented reality. Mathematics Education Journal, 18(1), 139–148. https://doi.org/10.22342/jpm.v18i1.pp139-148
Ben-Zvi, D., Bakker, A., & Makar, K. (2015). Learning to reason from samples. Educational Studies in Mathematics, 88(3), 291–303. https://doi.org/10.1007/s10649-015-9593-3
Borovcnik, M., & Terán, T. E. (2021). How the project method contributes to the construction of meaning in statistics–also in a hybrid learning environment. In Satellite conference of the International Association for Statistical Education (IASE).
Charles-Owaba, T. (2019). Assessing areas of students’ difficulties in the learning of statistics content in secondary school mathematics curriculum in Bayelsa. Abacus (Mathematics Education Series), 44(1), 321–332.
Crisostomo, M. E., & Chauhan, R. S. (2019). Using the occupational information network (O*NET) to demonstrate the importance of understanding statistics for undergraduate students. Teaching Statistics, 41(3), 89–93. https://doi.org/10.1111/test.12188
D’Ambrosio, U. (2018). Etnomatemática, justiça social e sustentabilidade. Estudos avançados, 32, 189–204. https://doi.org/10.1590/s0103-40142018.3294.0014
Da, N. T. (2023). Realistic mathematics education and authentic learning: A combination of teaching mathematics in high schools. Journal of Mathematics and Science Teacher, 3(1), 1–9. https://doi.org/10.29333/mathsciteacher/13061
D'Ambrosio, U. (1999). Literacy, matheracy, and technocracy: A trivium for today. Mathematical thinking and learning, 1(2), 131–153. https://doi.org/10.1207/s15327833mtl0102_3
Drijvers, P. (2019). Head in the clouds, feet on the ground – A realistic view on using digital tools in mathematics education. In A. Büchter, M. Glade, R. Herold-Blasius, M. Klinger, F. Schacht, & P. Scherer (Eds.), Vielfältige Zugänge zum Mathematikunterricht: Konzepte und Beispiele aus Forschung und Praxis (pp. 163–176). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-24292-3_12
Fauzan, A., Harisman, Y., Yerizon, Y., Suherman, S., Tasman, F., Nisa, S., Sumarwati, S., Hafizatunnisa, H., & Syaputra, H. (2024). Realistic mathematics education (RME) to improve literacy and numeracy skills of elementary school students based on teachers’ experience. Infinity Journal, 13(2), 301–316. https://doi.org/10.22460/infinity.v13i2.p301-316
Feeley, T. H., Keller, M., & Kayler, L. (2023). Using animated videos to increase patient knowledge: A meta-analytic review. Health Education & Behavior, 50(2), 240–249. https://doi.org/10.1177/10901981221116791
Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In J. Van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 29–63). Routledge.
Gravemeijer, K., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1), 111–129. https://doi.org/10.1023/A:1003749919816
Haleem, A., Javaid, M., Qadri, M. A., & Suman, R. (2022). Understanding the role of digital technologies in education: A review. Sustainable Operations and Computers, 3, 275–285. https://doi.org/10.1016/j.susoc.2022.05.004
Hardiyanto, D., Asokawati, I., Majid, P. M., Maesaroh, A. T., & Nursyahidah, F. (2024). Learning reflection using realistic mathematics education assisted by GeoGebra software. Jurnal Pendidikan Matematika, 18(1), 15–26. https://doi.org/10.22342/jpm.v18i1.pp15-26
Imswatama, A., & Lukman, H. S. (2018). The effectiveness of mathematics teaching material based on ethnomathematics. International Journal of Trends in Mathematics Education Research, 1(1), 35–38. https://doi.org/10.33122/ijtmer.v1i1.11
Knopika, T., & Oszwab, U. (2021). La resolución de problemas e-cooperativo como estrategia para el aprendizaje de las matemáticas durante la pandemia de la COVID-19. Education in the Knowledge Society (EKS), 22, e25176. https://doi.org/10.14201/eks.25176
Koparan, T. (2015). Difficulties in learning and teaching statistics: teacher views. International Journal of Mathematical Education in Science and Technology, 46(1), 94–104. https://doi.org/10.1080/0020739X.2014.941425
Luneta, K. (2021). Living culturally responsive mathematics education with/in indigenous communities. Research in Mathematics Education, 23(3), 338–342. https://doi.org/10.1080/14794802.2021.1899970
Meeran, S., Mamanyena, K. S., Merriam, M. M., Noor, D. M., & and Makokotlela, M. V. (2024). Ethnomathematics in Intermediate Phase: Reflections on the Morabaraba Game as Indigenous Mathematical knowledge. African Journal of Research in Mathematics, Science and Technology Education, 28(2), 171–184. https://doi.org/10.1080/18117295.2024.2340095
Nursyahidah, F., & Albab, I. U. (2021). Learning design on surface area and volume of cylinder using indonesian ethno-mathematics of traditional cookie maker assisted by geogebra. Mathematics Teaching Research Journal, 13(4), 79–98.
Nursyahidah, F., Albab, I. U., & Rubowo, M. R. (2023). Learning design of sphere using realistic mathematics education assisted by interactive video. Jurnal Pendidikan Matematika, 17(3), 297–312.
Nursyahidah, F., Albab, I. U., Rubowo, M. R., Tuni’mah, L., Febriansyah, M. A., Hardiyanto, D., & Atmaja, S. A. A. (2024). Development hypothetical learning trajectory on statistics material in grade VIII using realistic mathematics education at the preliminary stage with pranata mangsa context. Jurnal Pendidikan Matematika (Kudus), 7(2), 249–264. https://doi.org/10.21043/jpmk.v7i2.29180
Nursyahidah, F., Anindya, F. M., Yulianti, M. A., Prisanto, Z. I., & Rosario, M. A. R. (2025). Integrating local wisdom with technology: Designing learning trajectory of cylinder through realistic mathematics education approach. Mathematics Education Journal, 19(1), 81–98. https://doi.org/10.22342/jpm.v19i1.pp81-98
Papadakis, S., Kalogiannakis, M., & Zaranis, N. (2017). Improving mathematics teaching in kindergarten with realistic mathematical education. Early Childhood Education Journal, 45(3), 369–378. https://doi.org/10.1007/s10643-015-0768-4
Prahmana, R. C. I. (2022). Ethno-realistic mathematics education: The promising learning approach in the city of culture. SN Social Sciences, 2(257). https://doi.org/10.1007/s43545-022-00571-w
Prahmana, R. C. I., & D'Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of Yogyakarta, Indonesia. Journal on Mathematics Education, 11(3), 439–456. https://doi.org/10.22342/jme.11.3.12949.439-456
Prahmana, R. C. I., Ramadhani, R., Arnal-Palacián, M., & Risdiyanti, I. (2023). Trivium curriculum in ethno-RME approach: An impactful insight from ethnomathematics and realistic mathematics education. Jurnal Elemen, 9(1), 298–316. https://doi.org/10.29408/jel.v9i1.7262
Prahmana, R. C. I., Yunianto, W., Rosa, M., & Orey, D. C. (2021). Ethnomathematics: "Pranatamangsa" system and the birth-death ceremonial in Yogyakarta. Journal on Mathematics Education, 12(1), 93–112. https://doi.org/10.22342/jme.12.1.11745.93-112
Pratiwi, M. D., Putri, R. I. I., & Zulkardi, Z. (2022). Mathematics critical thinking ability materials social arrithmatic class VII assisted video animation in the era of COVID-19. Infinity Journal, 11(2), 297–310. https://doi.org/10.22460/infinity.v11i2.p297-310
Putri, R. I. I., Setyorini, N. P., Meitrilova, A., Permatasari, R., Saskiyah, S. A., & Nusantara, D. S. (2021). Designing a healthy menu project for Indonesian junior high school students. Journal on Mathematics Education, 12(1), 133–146. https://doi.org/10.22342/jme.12.1.13239.133-146
Ridha, S. K., Bostanci, H. B., & Kurt, M. (2022). Using animated videos to enhance vocabulary learning at the noble private technical institute (NPTI) in Northern Iraq/Erbil. Sustainability, 14(12), 7002. https://doi.org/10.3390/su14127002
Rosa, M., D’Ambrosio, U., Orey, D. C., Shirley, L., Alangui, W. V., Palhares, P., & Gavarrete, M. E. (2016). Current and future perspectives of ethnomathematics as a program. Springer Nature. https://doi.org/10.1007/978-3-319-30120-4
Rosa, M., & Orey, D. C. (2021). An ethnomathematical perspective of STEM education in a glocalized world. Bolema: Boletim de Educação Matemática, 35(70), 840–876. https://doi.org/10.1590/1980-4415v35n70a14
Rosa, M., & Orey, D. C. (2023). Considerations about ethnomathematics, the culturally relevant pedagogy and social justice in mathematical education. Educação Matemática Pesquisa, 25(2), 145–165. https://doi.org/10.23925/1983-3156.2023v25i2p145-165
Rosli, R., & Aliwee, M. F. (2021). Professional Development of Mathematics Teacher: A Systematic Literature Review. Contemporary Educational Researches Journal, 11(2), 43–54. https://doi.org/10.18844/cerj.v11i2.5415
Ruan, L., Jiang, R., & Dong, K. (2021). Exploration on teaching reform of applied statistics in economics and management based on ability improvement. Advances in Educational Technology and Psychology, 5(9), 203–209.
Sari, D. L., & Nursyahidah, F. (2022). Learning design for statistics materials using the context of traditional market assisted by interactive videos. Jurnal Elemen, 8(1), 29–42. https://doi.org/10.29408/jel.v8i1.4067
Silva, A. C., Viseu, F., Aires, A. P., & Neto, T. B. (2022). Investigative activities for statistics learning with 1st grade portuguese students. Education Sciences, 12(10), 665. https://doi.org/10.3390/educsci12100665
Soe, H. H. K., Khobragade, S., Lwin, H., Htay, M. N. N., Than, N. N., Phyu, K. L., & Abas, A. L. (2021). Learning statistics: Interprofessional survey of attitudes toward statistics using SATS-36. Dentistry and Medical Research, 9(2), 121–125. https://doi.org/10.4103/dmr.dmr_68_20
Sofroniou, A., & Poutos, K. (2016). Investigating the effectiveness of group work in mathematics. Education Sciences, 6(3), 30. https://doi.org/10.3390/educsci6030030
Songkhro, J., Dequiña, L. S., Dominguez, R. R., & Khathayut, P. (2022). Effectiveness of using animated videos via Google Sites in enhancing socio-culture of native English-speaking countries. Education Quarterly Reviews, 5(2), 371–380. https://doi.org/10.31014/aior.1993.05.02.497
Streefland, L. (1991). Realistic mathematics education in primary school : on the occasion of the opening of the Freudenthal Institute. CD-β Press. https://cir.nii.ac.jp/crid/1130000795504500608
Suarez-Rivera, C., & Langan, D. (2022). Teaching statistics in context: Effects of statistics history on student learning. In Proceedings of the 11th International Conference on Teaching Statistics (ICOTS112022), Rosario, Argentina. https://doi.org/10.52041/iase.icots11.T8F2
Sutarni, S., Sutama, S., Prayitno, H. J., Sutopo, A., & Laksmiwati, P. A. (2024). The development of realistic mathematics education-based student worksheets to enhance higher-order thinking skills and mathematical ability. Infinity Journal, 13(2), 285–300. https://doi.org/10.22460/infinity.v13i2.p285-300
Timotheou, S., Miliou, O., Dimitriadis, Y., Sobrino, S. V., Giannoutsou, N., Cachia, R., Monés, A. M., & Ioannou, A. (2023). Impacts of digital technologies on education and factors influencing schools' digital capacity and transformation: A literature review. Education and Information Technologies, 28(6), 6695–6726. https://doi.org/10.1007/s10639-022-11431-8
Uchima-Marin, C., Murillo, J., Salvador-Acosta, L., & Acosta-Vargas, P. (2024). Integration of technological tools in teaching statistics: Innovations in educational technology for sustainable education. Sustainability, 16(19), 8344. https://doi.org/10.3390/su16198344
Umbara, U., Prabawanto, S., & Jatisunda, M. G. (2023). Combination of mathematical literacy with ethnomathematics: How to perspective sundanese culture. Infinity Journal, 12(2), 393–414. https://doi.org/10.22460/infinity.v12i2.p393-414
Uyen, B. P., Tong, D. H., Loc, N. P., & Thanh, L. N. P. (2021). The effectiveness of applying realistic mathematics education approach in teaching statistics in grade 7 to students' mathematical skills. Journal of Education and e-Learning Research, 8(2), 185–197. https://doi.org/10.20448/journal.509.2021.82.185.197
Van den Akker, J., Branch, R. M., Gustafson, K., Nieveen, N., & Plomp, T. (2012). Prototyping to reach product quality. Springer Science & Business Media.
Van den Akker, J., Gravemeijer, K., McKenney, S., & Nieveen, N. (2006). Educational design research. Routledge London.
Van den Heuvel-Panhuizen, M. (2020). National reflections on the Netherlands didactics of mathematics: Teaching and learning in the context of realistic mathematics education. Springer Nature. https://doi.org/10.1007/978-3-030-33824-4
Wirth, L., & Greefrath, G. (2024). Working with an instructional video on mathematical modeling: upper-secondary students’ perceived advantages and challenges. ZDM – Mathematics Education, 56(4), 573–587. https://doi.org/10.1007/s11858-024-01546-2
Yakubova, G., M., H. E., & Baer, B. L. (2020). Supporting students with ASD in mathematics learning using video-based concrete-representational-abstract sequencing instruction. Preventing School Failure: Alternative Education for Children and Youth, 64(1), 12–18. https://doi.org/10.1080/1045988X.2019.1627999
Zhang, Y. (2018). Application of project teaching method on statistical analysis teaching Proceedings of the 6th International Conference on Social Science, Education and Humanities Research (SSEHR 2017),
Zulkardi, Z., & Setiawan, M. B. T. (2020). Javanese calendar as context to learn number pattern and least common multiple. Journal of Physics: Conference Series, 1470(1), 012094. https://doi.org/10.1088/1742-6596/1470/1/012094