Main Article Content

Abstract

Indonesia, particularly the Java region, is home to a wealth of folklore rich in moral teachings. Among these, the story of Rama and Sinta is one of the most prominent, and upon initial investigation, it reveals an underlying presence of mathematical concepts, particularly relations and functions. Despite this potential, there is a lack of research on integrating such cultural elements into the teaching of mathematics. This study aims to fill this gap by exploring the use of the Rama and Sinta narrative as a contextual tool for teaching relations and functions. Following the design research method within the Ethno-Realistic Mathematics Education (Ethno-RME) framework, we developed instructional materials for seventh-grade students at a public school in Magelang, Central Java, Indonesia. These materials, consisting of both student and teacher books, were designed to contextualize the mathematical concepts of relations and functions within the cultural narrative. The resulting learning trajectory, consisting of five interconnected activities, not only deepened students' understanding of the mathematical concepts but also reinforced the moral lessons embedded in the folklore. This paper details the development process, implementation, and outcomes of this culturally responsive approach, contributing valuable insights into the integration of local cultural narratives with core mathematical concepts to enhance the learning experience.

Keywords

Ethno-RME Learning Trajectory Rama and Sinta Story Relations and Functions Shadow Puppets

Article Details

How to Cite
Prahmana, R. C. I., Risdiyanti, I., Peni, N. R. N., Ristiana, N., & Ramadhani, R. (2025). Javanese folklore with moral values: An impactful context in learning relations and functions. Journal on Mathematics Education, 16(1), 197–224. https://doi.org/10.22342/jme.v16i1.pp197-224

References

  1. Akker, J. Van Den, Gravemeijer, K., McKenney, S., & Nieveen, N. (2006). Introducing educational design research. In J. Van Den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational Design Research (4 Edition). Routledge.
  2. Akker, J. Van Den. (1991). Principles and methods of development research. In J. van den Akker, R. M. Branch, K. Gustafson, N. Nieveen, & T. Plomp (Eds.), Design Approaches and Tools in Education and Training (pp. 1–14). Springer Science and Business Media Dordrecht. https://doi.org/10.1007/978-94-011-4255-7_1
  3. Alangui, W. V. (2017). Ethnomathematics and Culturally Relevant Mathematics Education in the Philippines. In M. Rosa, L. Shirley, M. E. Gavarrete, & W. F. Alangui (Eds.), Ethnomathematics and Its Diverse Approaches for Mathematics Education (pp. 183–208). Springer. https://doi.org/10.1007/978-3-319-59220-6_8
  4. Alghiffari, E. K., Prahmana, R. C. I., & Evans, B. (2024). The impact of Ethno-Realistic Mathematics Education-based e-module in strengthening students’ problem-solving abilities. Jurnal Elemen, 10(3), 546–566. https://doi.org/10.29408/jel.v10i3.26611
  5. Bakker, A. (2019). Design research in education: A practical guide for early career researchers. Routledge. https://doi.org/10.4324/9780203701010
  6. Balacheff, N. (1987). Processus de preuve et situations de validation. Educational Studies in Mathematics, 18(2), 147–176. https://doi.org/10.1007/BF00314724
  7. Clements, D. H., Lizcano, R., & Sarama, J. (2023). Research and pedagogies for early math. Education Sciences, 13(8), 839. https://doi.org/10.3390/educsci13080839
  8. D’Ambrosio, U. (2007). Ethnomathematics: Perspectives. North American Study Group on Ethnomathematics News, 2(1), 2–3. https://nasgem.wordpress.com/wp-content/uploads/2017/07/newsletter-21-november-2007.pdf
  9. DeJarnette, A. F., Lausell, S. L. R., & González, G. (2015). Shadow puppets: Exploring a context for similarity and dilations. The Mathematics Teacher, 109(1), 20–27. https://doi.org/10.5951/mathteacher.109.1.0020
  10. Diponegoro, A. M., Khalil, I. A., & Prahmana, R. C. I. (2024). When religion meets mathematics: From mathematical anxiety to mathematical well-being for minority group student. Infinity Journal, 13(2), 413-440. https://doi.org/10.22460/infinity.v13i2.p413-440
  11. diSessa, A. A., & Cobb, P. (2004). Ontological innovation and the role of theory in design experiments. The Journal of the Learning Sciences, 13(1), 77–103. https://doi.org/10.4324/9780203764565
  12. Freudenthal, H. (1991). Revisiting mathematics education. Kluwer Academic.
  13. Freudenthal, H. (2006). Revisiting mathematics education: China lectures (Vol. 9). Springer Science & Business Media. https://doi.org/https://doi.org/10.1007/0-306-47202-3
  14. Goldin, G. A. (2020). Mathematical representations. In Encyclopedia of Mathematics Education (pp. 566–572). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_103
  15. Gravemeijer, K. (1994). Developing realistic mathematics education. Freudenthal Institute. https://research.tue.nl/en/publications/developing-realistic-mathematics-education
  16. Gravemeijer, K., & van Eerde, D. (2009). Design research as a means for building a knowledge base for teachers and teaching in mathematics education. The Elementary School Journal, 109(5), 510–524. https://doi.org/10.1086/596999
  17. Jariyah, A., Putri, R. I. I., & Zulkardi. (2024). Development of learning video reflection using palembang songket context to determine students’ mathematical reasoning. Jurnal Pendidikan Matematika, 18(2), 273–294. https://doi.org/10.22342/jpm.v18i2.pp273-294
  18. Kolovou, M. (2023). Embracing culturally relevant education in mathematics and science: A literature review. The Urban Review, 55(1), 133–172. https://doi.org/10.1007/s11256-022-00643-4
  19. Krawitz, J., Chang, Y.-P., Yang, K.-L., & Schukajlow, S. (2022). The role of reading comprehension in mathematical modelling: Improving the construction of a real-world model and interest in Germany and Taiwan. Educational Studies in Mathematics, 109(2), 337–359. https://doi.org/10.1007/s10649-021-10058-9
  20. Leton, S. I., Lakapu, M., Dosinaeng, W. B. N., & Fitriani, N. (2025). Integrating local wisdoms for improving students’ mathematical literacy: The promising context in learning whole numbers. Infinity Journal, 14(2), 369-392. https://doi.org/10.22460/infinity.v14i2.p369-392
  21. Mainali, B. (2020). Representation in teaching and learning mathematics. International Journal of Education in Mathematics, Science and Technology, 9(1), 1–21. https://doi.org/10.46328/ijemst.1111
  22. Mark, S. L., & Id-Deen, L. (2022). Examining pre-service mathematics and science teachers’ plans to implement culturally relevant pedagogy. Educational Action Research, 30(5), 725–746. https://doi.org/10.1080/09650792.2020.1775670
  23. Meeran, S., & Van Wyk, M. M. (2022). Mathematics teachers perceptions of socio-cultural diversities in the classroom. Journal of Pedagogical Research, 6(3), 72-87. https://doi.org/10.33902/JPR.202215441
  24. Muhtadi, D., Sukirwan, Warsito, & Prahmana, R.C.I. (2017). Sundanese Ethnomathematics: Mathematical activities in estimating, measuring, and making patterns. Journal on mathematics education, 8(2), 185-198. http://dx.doi.org/10.22342/jme.8.2.4055.185-198
  25. Plomp, T. (2013). Educational design research: An introduction. In T. Plomp & N. Nieveen (Eds.), Educational Design Research (pp. 10–51). Netherlands Institute for Curriculum Development (SLO). https://ris.utwente.nl/ws/portalfiles/portal/14472302/Introduction_20to_20education_20design_20research.pdf
  26. Polman, J., Hornstra, L., & Volman, M. (2021). The meaning of meaningful learning in mathematics in upper-primary education. Learning Environments Research, 24(3), 469–486. https://doi.org/10.1007/S10984-020-09337-8/FIGURES/1
  27. Prahmana, R. C. I. (2017). The role of research-based learning to enhance students’ research and academic writing skills. Journal of Education and Learning, 11(3), 351–366. https://doi.org/10.11591/edulearn.v11i3.5871
  28. Prahmana, R. C. I. (2022). Ethno-realistic mathematics education: The promising learning approach in the city of culture. SN Social Sciences, 2(12), 1–19. https://doi.org/10.1007/S43545-022-00571-W
  29. Prahmana, R. C. I., & Istiandaru, A. (2021). Learning sets theory using shadow puppet: A study of Javanese ethnomathematics. Mathematics, 9(22), 2938. https://doi.org/10.3390/MATH9222938
  30. Prahmana, R. C. I., & Kusumah, Y. S. (2016). The hypothetical learning trajectory on research in mathematics education using research-based learning. Pedagogika, 123(3), 42–54. https://doi.org/10.15823/p.2016.32
  31. Prahmana, R. C. I., Arnal-Palacián, M., Risdiyanti, I., & Ramadhani, R. (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
  32. Pujiastuti, N. I., Prahmana, R. C. I., & Evans, B. (2025). Innovative Ethno-Realistic Mathematics-based modules: Promoting Pancasila values in Indonesian mathematics education. Jurnal Pendidikan Matematika, 19(1), 1-22. https://doi.org/10.22342/jpm.v19i1.pp1-22
  33. Putri, W. P., Tanto, O. D., & Kusumastuti, N. (2021). Learning math through making shadow puppet. International Journal of Progressive Sciences and Technologies, 27(1), 342–347. https://doi.org/http://dx.doi.org/10.52155/ijpsat.v27.1.3098
  34. Ramli, W. N. R. W., & Lugiman, F. ‘Aini. (2012). The Contribution of shadow puppet’s show through engaging social communication in modern society. Procedia - Social and Behavioral Sciences, 35, 353–360. https://doi.org/10.1016/j.sbspro.2012.02.098
  35. Ran, H., Kim, N. J., & Secada, W. G. (2022). A meta‐analysis on the effects of technology’s functions and roles on students’ mathematics achievement in K‐12 classrooms. Journal of Computer Assisted Learning, 38(1), 258–284. https://doi.org/10.1111/jcal.12611
  36. Risdiyanti, I., & Prahmana, R. C. I. (2018). Ethnomathematics: Exploration in Javanese culture. Journal of Physics: Conference Series, 943(1), 12032. https://doi.org/10.1088/1742-6596/943/1/012032
  37. Risdiyanti, I., & Prahmana, R. C. I. (2020). The learning trajectory of number pattern learning using Barathayudha war stories and Uno Stacko. Journal on Mathematics Education, 11(1), 157–166. https://doi.org/10.22342/jme.11.1.10225.157-166
  38. Risdiyanti, I., & Prahmana, R. C. I. (2021). Designing learning trajectory of set through the Indonesian shadow puppets and Mahabharata stories. Infinity Journal, 10(2), 331–348. https://doi.org/10.22460/infinity.v10i2.p331-348
  39. Risdiyanti, I., Prahmana, R. C. I., & Shahrill, M. (2019). The learning trajectory of social arithmetic using an Indonesian traditional game. İlköğretim Online, 18(4), 2094–2108. https://doi.org/10.17051/ilkonline.2019.639439
  40. Risdiyanti, I., Zulkardi, Z., Putri, R. I. I., Prahmana, R. C. I., & Nusantara, D. S. (2024). Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review. Jurnal Elemen, 10(1), 158–180. https://doi.org/10.29408/jel.v10i1.24445
  41. Ristiana, N., Prahmana, R. C. I., & Shahrill, M. (2024). Math trace of a million flowers city: Learning two-dimensional using Ethno-RME and MathCityMap. Jurnal Riset Pendidikan Matematika, 11(2), 90-105. https://doi.org/10.21831/jrpm.v11i2.77850
  42. Rosa, M., & Orey, D. C. (2020). Princípios da Educação Culturalmente Relevante em uma Perspectiva Etnomatemática [Principles of culturally relevant education in an ethnomathematical perspective]. Revista de Educação Matemática, 17, e020001. https://doi.org/10.37001/remat25269062v17id306
  43. Shahidayanti, T., Prahmana, R. C. I., & Fran, F. A. (2024). Integrating Ethno-Realistic Mathematics Education in developing three-dimensional instructional module. Journal of Honai Math, 7(3), 379–400. https://doi.org/10.30862/jhm.v7i3.698
  44. Sutomo, I. (2014). Modification of character education into akhlaq education for the global community life. Indonesian Journal of Islam and Muslim Societies, 4(2), 291-316. https://doi.org/10.18326/ijims.v4i2.291-316
  45. Utami, N. W., Sayuti, S. A., & Jailani. (2019). Math and mate in javanese primbon: Ethnomathematics study. Journal on Mathematics Education, 10(3), 341–356. https://doi.org/10.22342/jme.10.3.7611.341-356
  46. Utari, R. S., & Gustiningsi, T. (2024). Developing of higher order thinking skill in relation and function to support student’s creative thinking. Jurnal Pendidikan Matematika, 15(1), 49–60. https://doi.org/10.22342/jpm.15.1.12876.49-60
  47. Van Den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9–35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc
  48. van der Kroef, J. M. (1955). Folklore and tradition in Javanese society. The Journal of American Folklore, 68(267), 25. https://doi.org/10.2307/537108
  49. Vidani, S. M. (2014). Indonesian diplomacy: Safeguarding Wayang puppet theater within UNESCO convention as intangible cultural heritage (2003 - 2013). President University.
  50. Widjaja, W. (2008). Local instructional theory on decimals: The case of Indonesian pre-service teachers. The University of Melbourne.
  51. Yuliani, S. B., Dewi, S. K., Ain, Z. Q., & Palupi, E. L. W. (2023). Pengembangan modul berbasis Etno-RME berbalut konteks Wayang kulit Mahabharata pada materi himpunan untuk siswa kelas 7 [Developing Ethno-RME-based module embedded in the context of Mahabharata shadow puppets for teaching set theory to seventh grade students]. MATHEdunesa, 12(1), 108–128. https://doi.org/10.26740/mathedunesa.v12n1.p108-128
  52. Zulkardi, Putri, R. I. I., & Wijaya, A. (2020). Two Decades of Realistic Mathematics Education in Indonesia. In International Reflections on the Netherlands Didactics of Mathematics (pp. 325–340). Springer, Cham. https://doi.org/10.1007/978-3-030-20223-1_18

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