Main Article Content
Abstract
The integration of culturally embedded knowledge systems into mathematics education has gained scholarly interest in recent years; however, empirical research remains limited, particularly in the context of Indonesian coastal communities where traditional ecological knowledge is closely tied to astronomical and environmental cycles. Despite the growing prominence of ethnomathematics, there is a noticeable paucity of studies that systematically investigate the mathematical reasoning inherent in indigenous calendrical systems used for livelihood practices. Addressing this gap, the present study explores the ethnomathematical knowledge embedded in the calendrical practices of the Lungkak community in East Lombok, Indonesia. This system uniquely integrates local interpretations of the Pupuru (the Pleiades star cluster), lunar phases, the Hijri calendar, and the Gregorian calendar to predict seasonal transitions and tidal patterns crucial to artisanal fishing. Employing an ethnographic research design, data were gathered through purposive sampling, in-depth interviews, participant observation, and document analysis, and analyzed using interactive ethnographic techniques. The findings uncover sophisticated mathematical reasoning within the community’s calendrical system, including trigonometric concepts (angular relationships among celestial bodies), arithmetic and numerical sequences (predictive visibility patterns), modular arithmetic (cyclical astronomical forecasting), and set theory (classification of tidal phenomena). These insights reveal how formal mathematical concepts are embedded within cultural practices, demonstrating the community’s implicit engagement with abstract reasoning. This study contributes to the development of culturally responsive mathematics education by emphasizing the pedagogical value of integrating ethnomathematical content into classroom instruction. Such integration holds potential to enrich students’ mathematical literacy, foster contextual understanding, and support meaningful engagement with mathematical concepts through culturally relevant learning experiences.
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References
- 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
- 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
- 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
- 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
- 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
- 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
- Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.
- D’Ambrosio, U. (2020). Ethnomathematics: Past and future. Revemop, 2(e202002), 1–14. https://doi.org/10.33532/revemop.e202002
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Hammond, M., & Wellington, J. (2012). Research methods: The key concepts. Routledge. https://doi.org/10.4324/9780203097625
- Hastuti, I. D. (2022). Ethnomathematics: 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Rosa, M., & Orey, D. C. (2013). Ethnomodelling as a research lens on ethnomathematics and modelling. In Teaching mathematical modelling: Connecting to research and practice (pp. 117–127). Springer. https://doi.org/10.1007/978-94-007-6540-5_10
- 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/10.1007/978-3-031-03945-4_3
- 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
- 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
- Spradley, J. P. (1979). The ethnographic interview. In Holt Reinhart and Winston. USA New York.
- 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
- 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/10.22342/jme.v15i3.pp835-858
- 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
- Sutarto, S., Hastuti, I. D., & Supiyati, S. (2021). Etnomatematika: Eksplorasi transformasi geometri tenun suku Sasak Sukarara [Ethnomathematics: Exploring the geometric transformation of Sasak Sukarara tribe weaving]. Jurnal Elemen, 7(2), 324–335. https://doi.org/10.29408/jel.v7i2.3251
- 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
- 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
- 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
- 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
- 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
- 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
- Valentino, L. (2021). Cultural logics: Toward theory and measurement. Poetics, 88, 101574. https://doi.org/10.1016/j.poetic.2021.101574
- 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
References
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
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
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
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
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
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
Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.
D’Ambrosio, U. (2020). Ethnomathematics: Past and future. Revemop, 2(e202002), 1–14. https://doi.org/10.33532/revemop.e202002
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
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
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
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
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
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
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
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
Hammond, M., & Wellington, J. (2012). Research methods: The key concepts. Routledge. https://doi.org/10.4324/9780203097625
Hastuti, I. D. (2022). Ethnomathematics: 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
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
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
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
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
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
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
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
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
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
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
Rosa, M., & Orey, D. C. (2013). Ethnomodelling as a research lens on ethnomathematics and modelling. In Teaching mathematical modelling: Connecting to research and practice (pp. 117–127). Springer. https://doi.org/10.1007/978-94-007-6540-5_10
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/10.1007/978-3-031-03945-4_3
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
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
Spradley, J. P. (1979). The ethnographic interview. In Holt Reinhart and Winston. USA New York.
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
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/10.22342/jme.v15i3.pp835-858
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
Sutarto, S., Hastuti, I. D., & Supiyati, S. (2021). Etnomatematika: Eksplorasi transformasi geometri tenun suku Sasak Sukarara [Ethnomathematics: Exploring the geometric transformation of Sasak Sukarara tribe weaving]. Jurnal Elemen, 7(2), 324–335. https://doi.org/10.29408/jel.v7i2.3251
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
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
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
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
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
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
Valentino, L. (2021). Cultural logics: Toward theory and measurement. Poetics, 88, 101574. https://doi.org/10.1016/j.poetic.2021.101574
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