Main Article Content

Abstract

This research aimed to present a unique approach by integrating the Tordauk jerpara tel tradition of the Aru community into formal mathematics learning, describing the relationship between local cultural practices and mathematics concepts. The objectives were to identify the mathematics values contained in tradition and design a strategy for integrating the values into the elementary school curriculum to improve conceptual understanding and global mathematics literacy. A qualitative approach with an ethnomathematics design was adopted, additionally 20 third-grade elementary school students in Aru Regency were selected as participants. Data were collected through observation, role playing, interviews, and document analysis. The results showed the Tordauk jerpara tel tradition contained the concepts of addition, subtraction, multiplication, division, fractions, decimals, ratios, averages, and modulo arithmetic, which could be systematically mapped into the formal elementary school mathematics. The five-stage learning strategy, namely contextual exploration, mathematics identification, formalization, contextual reflection, and extension, can increased student engagement, abstraction ability, thinking flexibility, and internalization of social values. This research made theoretical contributions to ethnomathematics and culture-based mathematics education, while also proposing an adaptable strategy implemented in international contexts. Practical implications include the development of contextual with further research directions focused on strategy validation across cultural contexts.

Keywords

Arithmetic Ethnomathematics Number Pattern Number System Tordauk Jerpara Tel

Article Details

How to Cite
Labuem, S., Sa’dijah, C., Parta, I. N., & Sulandra, I. M. (2025). Mathematics in the Tordauk jerpara tel tradition: Contribution of local wisdom to mathematics education innovation in elementary schools. Journal on Mathematics Education, 16(3), 955–980. https://doi.org/10.22342/jme.v16i3.pp955-980

References

  1. Anwar, L., Sa’dijah, C., Fauzan, A., Johar, R., Sugiman., & D. S. (2024). Exploring ethnomathematics in the traditional house of Suku Tengger: Bridging structures and classrooms. Journal of Ecohumanism, 3(6), 1872–1882. https://doi.org/10.62754/joe.v3i6.4143
  2. Atta, S. A., Bonyah, E., & Boateng, F. O. (2024). Integrating Akan traditional art to enhance conceptual understanding in mathematics: Perspectives of educators and artisans. Journal of Interdisciplinary Studies in Education, 13(2), 81–101. https://doi.org/10.32674/0xy2cm48
  3. Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31, 21-32. http://psycnet.apa.org/psycinfo/1962-00777-001
  4. Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., Cirillo, M., ... & Bakker, A. (2020). Maximizing the quality of learning opportunities for every student. Journal for Research in Mathematics Education, 51(1), 12-25. https://doi.org/10.5951/jresematheduc.2019.0005
  5. Danoebroto, S. W., Suyata, & Jailani. (2024). Teachers’ Efforts to Promote Students’ Mathematical Thinking Using Ethnomathematics Approach. Mathematics Teaching-Research Journal, 16(2), 207–216. https://files.commons.gc.cuny.edu/wp-content/blogs.dir/34462/files/2024/06/11.-Danoebroto.pdf
  6. El Bedewy, S., Lavicza, Z., & Lyublinskaya, I. (2024). STEAM practices connecting mathematics, arts, architecture, culture and history in a non-formal learning environment of a museum. Journal of Mathematics and the Arts, 18(1-2), 101-134. https://doi.org/10.1080/17513472.2024.23215
  7. Erath, K., Ingram, J., Moschkovich, J., & Prediger, S. (2021). Designing and enacting instruction that enhances language for mathematics learning: A review of the state of development and research. ZDM - Mathematics Education, 53(2), 245–262. https://doi.org/10.1007/s11858-020-01213-2
  8. Fahrudin, F. A., Sa’Dijah, C., Hidayanto, E., & Susanto, H. (2024). Student’s reversible thinking processes: An analysis based on adversity quotient type climbers. Qualitative Research in Education, 13(1), 19–42. https://doi.org/10.17583/qre.11964
  9. Fauzi, L, M., Hanum, F., Jailani, J., & Jatmiko, J. (2022). Ethnomathematics: Mathematical ideas and educational values on the architecture of Sasak traditional residence. International Journal of Evaluation and Research in Education, 11(1), 250–259. https://doi.org/10.11591/ijere.v11i1.21775
  10. Giannakos, M., & Cukurova, M. (2023). The role of learning theory in multimodal learning analytics. British Journal of Educational Technology, 54(5), 1246–1267. https://doi.org/10.1111/bjet.13320
  11. Hatano, G., & Inagaki, K. (1984). Two courses of expertise. Research and Clinical Center for Child Development, 6, 27-36. http://hdl.handle.net/2115/25206
  12. Hawlitschek, P., Henschel, S., Richter, D., & Stanat, P. (2024). The relationship between teachers’ and principals’ use of results from nationwide achievement tests: The mediating role of teacher attitudes and data use culture. Studies in Educational Evaluation, 80(December 2022), 101317. https://doi.org/10.1016/j.stueduc.2023.101317
  13. Hendriana, H., Ristiana, N., Kusaka, S., Peni, N. R. N., & Prahmana, R. C. I. (2025). Integrating indigenous number systems and indefinite units into mathematics learning: A study on Javanese language and culture. Infinity Journal, 14(3), 797-816. https://doi.org/10.22460/infinity.v14i3.p797-816
  14. Hidayati, F. N., & Prahmana, R. C. I. (2022). Ethnomathematics' Research in Indonesia during 2015-2020. Indonesian Journal of Ethnomathematics, 1(1), 29–42. http://doi.org/10.48135/ije.v1i1.29-42
  15. Kyeremeh, P. (2023). Integration of ethnomathematics in teaching geometry: A systematic review and bibliometric report. Journal of Urban Mathematics Education, 16(2), 68–89. https://doi.org/10.21423/JUME-V16I2A519
  16. Lewis, Elyse O. Callaghan., MacKenzie, Don., & Kaminsky, J. (2021). Exploring equity: How equity norms have been applied implicitly and explicitly in transportation research and practice. Transportation Research Interdisciplinary Perspectives, 9(February), 100332. https://doi.org/10.1016/j.trip.2021.100332
  17. Mairing, J. P., & Nini (2023). Ethnomathematics learning model based on motifs of Dayak Ngaju Central Kalimantan. Mathematics Teaching-Research Journal, 15(5), 30–48. https://files.eric.ed.gov/fulltext/EJ1412234.pdf
  18. Mairing, J. P., Pancarita., & Aritonang, H. (2024). Ethnomathematical aspects of learning geometry and values related to the motifs used by the Dayak Ngaju tribe in Central Kalimantan. Malaysian Journal of Learning and Instruction, 21(1), 103–128. https://doi.org/10.32890/mjli2024.21.1.4
  19. Masaki, F. (2025). Self-regulated learning from a cultural psychology perspective: Shifting from strategy to process with the trajectory Equifinality approach. Human Arenas, 8(1), 131-149. https://doi.org/10.1007/s42087-023-00326-w
  20. Naidoo, J. (2021). Integrating indigenous knowledge and culturally based activities in South African mathematics classrooms. African Journal of Teacher Education, 10(2), 17-36. https://doi.org/10.21083/ajote.v10i2.6686
  21. Nugraha, Y., Sa’dijah, C., Susiswo., & Chandra, T. D. (2023). Proportional and non-proportional situation: How to make sense of them. International Journal of Educational Methodology, 9(2), 355–365. https://doi.org/10.12973/ijem.9.2.355
  22. OECD. (2019). PISA 2018 Results (Volume I). https://doi.org/10.1787/5f07c754-en
  23. OECD. (2023). PISA 2022 Results (Volume I). https://doi.org/10.1787/53f23881-en
  24. O’Hara, G., Kennedy, H., Naoufal, M., & Montreuil, T. (2022). The role of the classroom learning environment in students’ mathematics anxiety: A scoping review. British Journal of Educational Psychology, 92(4), 1458–1486. https://doi.org/10.1111/bjep.12510
  25. Orey, D., & Rosa, M. (2021). From ethnomathematics to ethnomodelling. Journal of Mathematics and Culture, 15(May), 148–168. https://journalofmathematicsandculture.wordpress.com/wp-content/uploads/2021/05/article_8.pdf
  26. Papadakis, S., Kalogiannakis, M., & Zaranis, N. (2021). Teaching mathematics with mobile devices and the Realistic Mathematical Education (RME) approach in kindergarten. Advances in Mobile Learning Educational Research, 1(1), 5–18. https://doi.org/10.25082/amler.2021.01.002
  27. Pathuddin, H., Kamariah., & Mariana, A. (2023). Ethnomathematics of Pananrang: A guidance of traditional farming system of the Buginese community. Journal on Mathematics Education, 14(2), 205–224. https://doi.org/10.22342/jme.v14i2.pp205-224
  28. Pathuddin, H., & Nawawi, M. I. (2021). Buginese ethnomathematics: Barongko cake explorations as mathematics learning resources. Journal on Mathematics Education, 12(2), 295-312. https://files.eric.ed.gov/fulltext/EJ1313711.pdf
  29. Pradana, L. N., Sa’dijah, C., Sulandra, I. M., Sudirman, & Sholikhah, O. H. (2020). Virtual mathematics kits (VMK): The value of spatial orientation on it. European Journal of Educational Research, 9(3), 1105–1114. https://doi.org/10.12973/eu-jer.9.3.1105
  30. 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
  31. 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
  32. Purnama, H. I., Wilujeng, I., & Jabar, C. S. A. (2023). Blended learning in elementary school science learning: A systematic literature review. International Journal of Evaluation and Research in Education, 12(3), 1408–1418. https://doi.org/10.11591/ijere.v12i3.25052
  33. Purnomo, H., Sa’dijah, C., Hidayanto, E., Sisworo, Permadi, H., & Anwar, L. (2022). Development of instrument numeracy skills test of minimum competency assessment (MCA) in Indonesia. International Journal of Instruction, 15(3), 635–648. https://doi.org/10.29333/iji.2022.15335a
  34. Rahmatina, D., Nusantara, T., Parta, I. N., & Susanto, H. (2022). Statistical reasoning process of students in decision making using commognitive framework. Acta Scientiae, 24(3), 63–88. https://doi.org/10.17648/acta.scientiae.6603
  35. Reinhold, F., Hoch, S., Werner, B., Richter-Gebert, J., & Reiss, K. (2020). Learning fractions with and without educational technology: What matters for high-achieving and low-achieving students? Learning and Instruction, 65(October 2019), 101264. https://doi.org/10.1016/j.learninstruc.2019.101264
  36. Rumite, W., Purwanto, P., Parta, I. N., & Rahardjo, S. (2023). Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas. Eurasia Journal of Mathematics, Science and Technology Education, 19(8), em2309. https://doi.org/10.29333/ejmste/13430
  37. Sa’adah, N., Faizah, S., Sa’dijah, C., Khabibah, S., & Kurniati, D. (2023). Students’ mathematical thinking process in algebraic verification based on crystalline concept. Mathematics Teaching-Research Journal, 15(1), 90–107. https://files.eric.ed.gov/fulltext/EJ1391469.pdf
  38. Saracho, O. N. (2023). Theories of child development and their impact on early childhood education and care. Early Childhood Education Journal, 51(1), 15–30. https://doi.org/10.1007/s10643-021-01271-5
  39. See, J., Cuaton, G. P., Placino, P., Vunibola, S., Thi, H. Do, Dombroski, K., & McKinnon, K. (2024). From absences to emergences: Foregrounding traditional and Indigenous climate change adaptation knowledges and practices from Fiji, Vietnam and the Philippines. World Development, 176(December 2023), 106503. https://doi.org/10.1016/j.worlddev.2023.106503
  40. Setiawan, A. (2017). Ethnomatematics in perspective of Sundanese culture. Journal on Mathematics Education, 8(1), 1–16. https://files.eric.ed.gov/fulltext/EJ1173644.pdf
  41. Setiawan, I. H. R., Purwanto., Sukoriyanto., & Parta, I. N. (2023). Cognitive conflict based on thinking errors in constructing mathematical concept. International Journal of Educational Methodology, 9(4), 631–643. https://doi.org/10.12973/ijem.9.4.631
  42. Suherman, S., & Vidákovich, T. (2022). Tapis patterns in the context of ethnomathematics to assess students’ creative thinking in mathematics: A Rasch measurement. Mathematics Teaching-Research Journal, 14(4), 56–79. https://files.eric.ed.gov/fulltext/EJ1361683.pdf
  43. Suherman & Vidákovich, T. (2024). Relationship between ethnic identity, attitude, and mathematical creative thinking among secondary school students. Thinking Skills and Creativity, 51, 101448. https://doi.org/10.1016/j.tsc.2023.101448
  44. Sumaji, Sa’dijah, C., Susiswo, & Sisworo. (2020). Mathematical communication process of junior high school students in solving problems based on APOS theory. Journal for the Education of Gifted Young Scientists, 8(1), 197–221. https://doi.org/10.17478/jegys.652055
  45. Suseelan, Menaga., Chew., Cheng Meng., & Chin, H. (2022). Research on mathematics problem solving in elementary education conducted from 1969 to 2021: A bibliometric review. International Journal of Education in Mathematics, Science and Technology, 10(4), 1003–1029. https://doi.org/10.46328/ijemst.2198
  46. Sutarto, Muzaki, A., Hastuti, I. D., Fujiaturrahman, S., & Untu, Z. (2022). Development of an ethnomathematics-based e-module to improve students’ metacognitive ability in 3D geometry topic. International Journal of Interactive Mobile Technologies, 16(3), 32–46. https://doi.org/10.3991/IJIM.V16I03.24949
  47. Syawahid, M., Purwanto., Sukoriyanto., & Sulandra, I, M. (2020). Elementary students’ functional thinking: From recursive to correspondence. Journal for the Education of Gifted Young Scientists, 8(3), 1031–1043. https://doi.org/10.17478/JEGYS.765395
  48. Testolin, A. (2024). Can neural networks do arithmetic? A survey on the elementary numerical skills of state-of-the-art deep learning models. Applied Sciences, 14(2), 744. https://doi.org/10.3390/app14020744
  49. Turmuzi, M., Suharta, I. G. P., & Suparta, I. N. (2023). Ethnomathematical research in mathematics education journals in Indonesia: A case study of data design and analysis. Eurasia Journal of Mathematics, Science and Technology Education, 19(1), em2220. https://doi.org/10.29333/ejmste/12836
  50. Umbara, U., Wahyudin, W., & Prabawanto, S. (2021). Exploring ethnomathematics with ethnomodeling methodological approach: how does Cigugur Indigenous people using calculations to determine good day to build houses. Eurasia Journal of Mathematics, Science and Technology Education, 17(2), 1–19. https://doi.org/10.29333/EJMSTE/9673
  51. 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
  52. Venketsamy, R. (2024). Ethnomathematics: The use of cultural games in mathematics in the early grades: A South African case study. Social Sciences and Education Research Review, 11(2), 189-196. https://doi.org/10.5281/zenodo.15258296
  53. Walker, S. E., Smith, E. A., Bennett, N., Bannister, E., Narayana, A., Nuckols, T., Pineda, V, K., Wrigley, J., & Bailey, K. M. (2024). Defining and conceptualizing equity and justice in climate adaptation. Global Environmental Change, 87(July), 102885. https://doi.org/10.1016/j.gloenvcha.2024.102885
  54. Wiryanto, Primaniarta, M. G., & de Mattos, J. R. L. (2022). Javanese ethnomathematics: Exploration of the Tedhak Siten tradition for class learning practices. Journal on Mathematics Education, 13(4), 661–680. https://doi.org/10.22342/jme.v13i4.pp661-680
  55. Wulandari, I. G. A. P. A., Payadnya, I. P. A. A., Puspadewi, K. R., & Saelee, S. (2024). The role of ethnomathematics in South-East Asian learning: A perspective of Indonesian and Thailand educators. Mathematics Teaching-Research Journal, 16(3), 101–119. https://files.eric.ed.gov/fulltext/EJ1442348.pdf
  56. Yembuu, B. (2021). Intergenerational learning of traditional knowledge through informal education: The Mongolian context. International Journal of Lifelong Education, 40(4), 339–358. https://doi.org/10.1080/02601370.2021.1967488
  57. Zayyadi, M., Nusantara, T., Hidayanto, E., Sulandra, I. M., & Sa’dijah, C. (2020). Content and pedagogical knowledge of prospective teachers in mathematics learning: Commognitive. Journal for the Education of Gifted Young Scientists, 8(1), 515–532. https://doi.org/10.17478/jegys.642131
  58. Zidny, R., Sjöström, J., Eilks, I. (2020). A multi-perspective reflection on how indigenous knowledge and related ideas can improve science education for sustainability. Science and Education, 29(1), 145–185. https://doi.org/10.1007/s11191-019-00100-x