Main Article Content

Abstract

The integration of cultural knowledge systems into mathematics education remains underexplored, particularly within Indonesian coastal communities, where traditional practices are deeply intertwined with environmental and astronomical phenomena. Although ethnomathematics has received increasing scholarly attention, there is a notable lack of empirical studies that illuminate the mathematical reasoning embedded in indigenous calendar systems—especially those employed by coastal communities for subsistence activities. This study addresses that gap by investigating the ethnomathematical knowledge inherent in the calendrical system used by villagers in the Lungkak community of East Lombok, Indonesia. It highlights a unique integration of the Pupuru (known as the Pleiades star cluster), lunar phases, the Hijri calendar, and the Gregorian calendar to predict seasonal transitions and tidal patterns essential to fishing practices. Adopting an ethnographic approach to comprehensively explore cultural dynamics and social phenomena within the community, data were collected through purposive sampling, in-depth interviews, participant observation, and document analysis, and subsequently analyzed using interactive ethnographic methods. The findings reveal the existence of sophisticated mathematical constructs within the community’s calendrical practices, including trigonometric reasoning (angular positioning of celestial bodies), numerical and arithmetic sequences (patterns of star and lunar visibility), modular arithmetic (cyclical forecasting of astronomical events), and set theory (classification of tidal phases). These results demonstrate the community’s implicit engagement with formal mathematical concepts through culturally embedded knowledge. This study contributes to the advancement of culturally responsive mathematics education by advocating for the integration of ethnomathematical content into classroom instruction. Such integration enhances students’ mathematical literacy, contextual relevance, and engagement with mathematical learning.

Keywords

Coastal Community Cultural Calendar Mathematical Activities Mathematical Concepts Pleiades Star Cluster

Article Details

How to Cite
Kusaeri, A., Putrawangsa, S., Prahmana, R. C. I., Pardi, M. H. H., & Idrus, S. W. A. S. A. (2025). Ethnomathematical insights from the tide-forecasting calendar of an Indonesian coastal community into mathematics classroom. Journal on Mathematics Education, 16(2). Retrieved from https://jme.ejournal.unsri.ac.id/index.php/jme/article/view/3663

References

  1. Anderson, C. R. (2021). From the root to the SUM: Reflections on culturally relevant pedagogy in mathematics. Educational Forum, 85(4), 377–390. https://doi.org/10.1080/00131725.2021.1957635
  2. Arisetyawan, A., & Supriadi, S. (2020). Ethnomathematics study in calendar system of Baduy tribe. Ethnomathematics Journal, 1(1), 25–29. https://doi.org/10.21831/ej.v1i1.28013
  3. Batiibwe, M. S. K. (2024). The role of ethnomathematics in mathematics education: A literature review. Asian Journal for Mathematics Education, 3(4), 383–405. https://doi.org/10.1177/27527263241300400
  4. Bleiler, S. K. (2015). Increasing awareness of practice through interaction across communities: The lived experiences of a mathematician and mathematics teacher educator. Journal of Mathematics Teacher Education, 18(3), 231–252. https://doi.org/10.1007/s10857-014-9275-6
  5. Brown, B. A. (2019). Moving Culturally Relevant Pedagogy From Theory to Practice: Exploring Teachers’ Application of Culturally Relevant Education in Science and Mathematics. Urban Education, 54(6), 775–803. https://doi.org/10.1177/0042085918794802
  6. Bussi, M. G. B. (2023). The role of values and culture in past mathematics curriculum reforms. In New ICMI Study Series (pp. 87–99). https://doi.org/10.1007/978-3-031-13548-4_6
  7. Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.
  8. D’Ambrosio, U. (2020). Ethnomathematics: past and future. Revemop, 2(e202002), 1–14. https://doi.org/10.33532/revemop.e202002
  9. Deda, Y. N. (2024). Global trend of ethnomathematics studies of the last decade: a bibliometric analysis. Infinity Journal, 13(1), 233–250. https://doi.org/10.22460/infinity.v13i1.p233-250
  10. Desai, S., Safi, F., B. Bush, S., Wilkerson, T., Andreasen, J., & Orey, D. C. (2022). Ethnomodeling: Extending mathematical modeling research in teacher education. Investigations in Mathematics Learning, 14(4), 305–319. https://doi.org/10.1080/19477503.2022.2139092
  11. Duffy, C. (2021). Designing a course connecting mathematics with Latin American cultures. Notices of the American Mathematical Society, 68(2), 210–212. https://doi.org/10.1090/noti2215
  12. Enfield, N. J. (2000). The theory of cultural logic: How individuals combine social intelligence with semiotics to create and maintain cultural meaning. Cultural Dynamics, 12(1), 35–64. https://doi.org/10.1177/092137400001200102
  13. Ernest, P. (2018). The philosophy of mathematics education: An overview. In The philosophy of mathematics education today (pp. 13–35). Springer. https://doi.org/10.1007/978-3-319-77760-3_2
  14. Fauzi, L. M., & Gazali, M. (2022). The characters of the traditional residence of Sasak tribe based on sikut awak: An ethnomathematics study. Jurnal Elemen, 8(1), 55–65. https://doi.org/10.29408/jel.v8i1.4143
  15. 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
  16. Furuto, L. H. L. (2014). Pacific ethnomathematics: Pedagogy and practices in mathematics education. Teaching Mathematics and Its Applications: An International Journal of the IMA, 33(2), 110–121. https://doi.org/10.1093/teamat/hru009
  17. Hammond, M., & Wellington, J. (2012). Research methods: The key concepts. Routledge. https://doi.org/10.4324/9780203097625
  18. Hardiani, N., & Putrawangsa, S. (2019). Etnomatematika: tradisi pengukuran masyarakat suku sasak dan potensi pengintegrasiannya dalam pembelajaran matematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 8(1), 159–174. https://doi.org/10.24127/ajpm.v8i1.1814
  19. Hastuti, I. D. (2022). Etnomathematics: System of Mangse and Determination of Ngandang Rowot on Rowot Sasak Calendar. Res Militaris, 12(2), 2613–2623. https://resmilitaris.net/uploads/paper/2981750b23b2b24c474e6c4a833595f0.pdf
  20. Hoppers, C. A. O. (2002). Indigenous Knowledge Systems. In: Akpan, B., Kennedy, T.J. (eds) Science Education in Theory and Practice. Springer Texts in Education. https://doi.org/10.1007/978-3-030-43620-9_30
  21. Karjanto, N. (2024). An Ethnoarithmetic Excursion into the Javanese Calendar. In Handbook of the History and Philosophy of Mathematical Practice: Volume 1-4 (Vol. 2). https://doi.org/10.1007/978-3-031-40846-5_82
  22. Khupe, C. (2020). Indigenous knowledge systems. In Akpan B., Kennedy T. J. (Eds.). In Science education in theory and practice: An introductory guide to learning theory. Springer. https://doi.org/10.1007/978-3-030-43620-9
  23. Kusaeri, K., Pardi, H. H., & Quddus, A. (2019). Culture and mathematics learning: Identifying students’ mathematics connection. BETA: Jurnal Tadris Matematika, 12(1), 82–93. https://doi.org/10.20414/betajtm.v12i1.264
  24. Lubis, A. N. M. T., Widada, W., Herawaty, D., Nugroho, K. U. Z., & Anggoro, A. F. D. (2021). The ability to solve mathematical problems through realistic mathematics learning based on ethnomathematics. Journal of Physics: Conference Series, 1731(1), 012050. https://doi.org/10.1088/1742-6596/1731/1/012050
  25. Makur, A. (2019). Lingko: Interweaving Manggarai Culture, and Mathematics. Journal of Physics: Conference Series, 1315(1), 012006. https://doi.org/10.1088/1742-6596/1315/1/012006
  26. 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
  27. Noor, N. L., Ahsani, E. L. F., Ainurrokhimah, A., & Farid, M. M. (2024). Development of the Ethnomathematics-Based Mathematics Teaching Materials to Improve Conceptual Understanding of Madrasah Ibtidaiyah Students in Lombok, Indonesia. Al Ibtida: Jurnal Pendidikan Guru MI, 11(2), 395–409. https://doi.org/10.24235/al.ibtida.snj.v11i2.19553
  28. 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
  29. Rosa, M., & Gavarrete, M. E. (2017). An ethnomathematics overview: An introduction. In EEthnomathematics and its Diverse Approaches for Mathematics Education (pp. 3–19). Springer. https://doi.org/10.1007/978-3-319-59220-6_1
  30. Rosa, M., & Orey, D. C. (2013). Ethnomodelling as a research lens on ethnomathematics and modelling. In In Teaching mathematical modelling: Connecting to research and practice (pp. 117–127). Springer. https://doi.org/10.1007/978-94-007-6540-5_10
  31. Rosa, M., & Orey, D. C. (2022). Emic, Etic, Dialogic, and Linguistic Perspectives on Ethnomodeling. In Handbook of Cognitive Mathematics (pp. 161–190). Springer International Publishing. https://doi.org/https://doi.org/10.1007/978-3-031-03945-4_3
  32. Septianawati, T., & Puspita, E. (2017). Ethnomathematics study: uncovering units of length, area, and volume in Kampung Naga Society. Journal of Physics: Conference Series, 812(1), 012021. https://doi.org/10.1088/1742-6596/812/1/012021
  33. Shultz, M., Nissen, J., Close, E., & & Van Dusen, B. (2022). The role of epistemological beliefs in STEM faculty’s decisions to use culturally relevant pedagogy at Hispanic-Serving Institutions. International Journal of STEM Education, 9(32), 1–22. https://doi.org/10.1186/s40594-022-00349-9
  34. Spradley, J. P. (1979). The ethnographic interview. In Holt Reinhart and Winston. USA New York.
  35. Subarinah, S., Junaidi, J., Triutami, T. W., Wulandari, N. P., & Salsabila, N. H. (2022). Logic and Sets Textbook Containing Ethnomathematics of Sasak Culture: Validation and Design. AlphaMath: Journal of Mathematics Education, 8(2), 164–174. https://doi.org/10.30595/alphamath.v8i2.13438
  36. Sudirman, Rodríguez-Nieto, C. A. ., & Bonyah, E. (2024). Integrating ethnomathematics and ethnomodeling in Institutionalization of school mathematics concepts: A study of fishermen community activities. Journal on Mathematics Education, 15(3), 835–858. https://doi.org/https://doi.org/10.22342/jme.v15i3.pp835-858
  37. Supiyati, S., Hanum, F., & Jailani. (2019). Ethnomathematics in sasaknese architecture. Journal on Mathematics Education, 10(1), 47–57. https://doi.org/10.22342/jme.10.1.5383.47-58
  38. Sutarto, S., Hastuti, I. D., & Supiyati, S. (2021). Etnomatematika: Eksplorasi Transformasi Geometri Tenun Suku Sasak Sukarara. Jurnal Elemen. https://doi.org/10.29408/jel.v7i2.3251
  39. Taylor, C. E., Rehm, M. A., & Catepillán, X. (2015). Maya calendars in the classroom. Mathematics Teaching in the Middle School, 21(2), 106–113. https://doi.org/10.5951/mathteacmiddscho.21.2.0106
  40. Thomas, C. A. (2024). Examining the elements of culturally relevant pedagogy captured and missed in a measure of high-quality mathematics instruction. ZDM - Mathematics Education, 56(5), 953–964. https://doi.org/10.1007/s11858-024-01595-7
  41. Umbara, U. (2021). Ethnomathematics Vs Ethomodeling: How does cigugur traditional community determines the direction of the wind to seek fortune based on month. Journal of Physics: Conference Series, 1776(1), 012034. https://doi.org/10.1088/1742-6596/1776/1/012034
  42. Utami, N. W., & Sayuti, S. A. (2020). An ethnomathematics study of the days on the javanese calendar for learning mathematics in elementary school. Elementary Education Online, 19(3), 1295–1305. https://doi.org/10.17051/ilkonline.2020.728063
  43. 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
  44. Utami, N. W., Sayuti, S. A., & Jailani. (2020). An ethnomathematics study of the days on the javanese calendar for learning mathematics in elementary school. Elementary Education Online, 19(3), 1295–1305. https://doi.org/10.17051/ilkonline.2020.728063
  45. Valentino, L. (2021). Cultural logics: Toward theory and measurement. Poetics, 88, 101574. https://doi.org/10.1016/j.poetic.2021.101574
  46. Yao-Yong, D., & Wen-Lin, L. (2011). The Influence of Indian Trigonometry on Chinese Calendar-Calculations in the Tang Dynasty. In B. S. Yadav & M. Mohan (Eds.), Ancient Indian Leaps into Mathematics (pp. 45–54). Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4695-0_3