Ethnomathematics on Ayunan Jantra in Bali: Integration of Mathematical Concepts in Culture

Authors

  • Sheilla Zalzabilla Al-Jabar IKIP Siliwangi, Cimahi, Indonesia
  • Fikri Fauzi Universitas Pendidikan Indonesia, Bandung, Indonesia
  • Wahyu Hidayat IKIP Siliwangi, Cimahi, Indonesia
  • Nelly Fitriani IKIP Siliwangi, Cimahi, Indonesia
  • Tatang Supriatna IKIP Siliwangi, Cimahi, Indonesia

DOI:

https://doi.org/10.22460/jiml.v8i2.26861

Keywords:

Ethnomathematics, Ayunan Jantra, Mathematical Integration, Culture

Abstract

This research explores the concept of ethnomathematics in the ayunan jantra culture in Majalangu Village, Denpasar, Bali. Using an ethnographic approach, this research identifies the mathematical elements contained in the making, structure and use of the jantJra swing. The research was conducted through observation, interviews and documentation when the ayunan jantra was used at a Balinese traditional ceremony. The interview was conducted with Mr. I Made Semara Putra, the manager of the Subak TeBA Majalangu Educational Tourism foundation, Denpasar, Bali. Swing jantra has a philosophy about the values of life, namely the rotation of destiny that we do not know, but must be ready to live it. The main findings of this research are the application of the concepts of geometry, proportion and oscillation in the making and operation of the ayunan jantra. From the geometry aspect, the swing structure includes the position of the support, rotating shaft, and arms that refer to the principles of symmetry and balance. In addition, the measurement of the dimensions of the arms and stand shows the application of the concepts of proportion and comparison. The use of the ayunan jantra also involves the concept of oscillation where the rotating movement resembles harmonic oscillation. This research reveals that Balinese people have intuitively integrated mathematical concepts into their cultural traditions. The findings from this study offer new insights into the relationship between cultural traditions and mathematics learning that could contribute to developing ethnomathematics-based learning in schools. This research is expected to enrich culture-based mathematics learning methods and preserve the local wisdom of the Balinese people.

References

Astawan, I. G. (2020). Analisis Kebutuhan Pengembangan Model Pembelajaran Trikaya Parisudha di Sekolah Dasar. Sekolah Dasar: Kajian Teori Dan Praktik Pendidikan, 29(1), 1–18.

Bareng, N. (2023). Ini fakta-fakta tradisi ayunan jantra di Tenganan Bal. https://www.ngopibareng.id/read/ini-fakta-fakta-tradisi-ayunan-jantra-di-tenganan-bali

D’Ambrosio, U. (1985). Ethnomathematics and Its Place in the History and Pedagogy of Mathematics. For the Learning of Mathematics, 5(1), 44–48.

Darmayasa, J. B., Wahyudin, & Mulyana, T. (2019). Ethnomathematics: Predicting the Average Height of the Bali Mula Ancestors using Linear Regression. JIPM : Jurnal Ilmiah Pendidikan Matematika, 8(1), 1–8. https://doi.org/10.25273/jipm.v8i1.3863

Desa, K. (2023). Tradisi ayunan jantra, simbol poros kehidupan manusia. https://kolomdesa.com/2023/03/06/tradisi-ayunan-jantra-simbol-poros-kehidupan-manusia

Diputra, G. N. O., Pradnyana, P. B., Astuti, N. P. E., Darmayanti, N. W. S., & Putra, I. K. D. A. S. (2022). Etnomatematika pada Klakat Upacara Adat Bali. Jurnal Elementry, 5(1), 64–69. https://doi.org/https://doi.org/10.31764/elementary.v5i1.5303

Filiestianto, G., & Al-jabar, S. Z. (2022). Eksplorasi Etnomatematika Rumah Panggung Betawi Si Pitung Dalam Pandangan Aktivitas Fundamental Matematis Bishop. Jurnal Pembelajaran Matematika Inovatif, 5(4), 1197–1208. https://doi.org/10.22460/jpmi.v5i4.1197-1208

Flick, U. (2018). An introduction to qualitative research (6th ed.). Thousand Oaks, CA: SAGE Publications. https://elearning.shisu.edu.cn/pluginfile.php/35310/mod_resource/content/2/Research-Intro-Flick.pdf

Geertz, C. (1973). The Intepretation Of Cultures. New York: Basic Books Inc.

Gerdes, P. (1994). Reflections on Ethnomathematics. For the Learning of Mathematics, 14(2), 19–22. https://www.semanticscholar.org/paper/Reflections-on-Ethnomathematics.-Gerdes/3e8f21baf8fa7b1f566d18830d688e60b301adf9

Indonesia, A. (n.d.). Rekap data antropometri indonesia.

Malalina, M., Ilma, R., Putri, I., Zulkardi, Z., & Hartono, Y. (2020). Ethnomathematics : Treasure Search Activity in the Musi River. Numerical: Jurnal Matematika Dan Pendidikan, 4(1), 31–40.

Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Thousand Oaks, CA: SAGE Publications.

Mulyasari, I., & Purbowati, P. (2018). Lingkar lengan atas dan panjang ulna sebagai parameter antropometri untuk memperkirakan berat badan dan tinggi badan orang dewasa. Jurnal Gizi Indonesia (The Indonesian Journal of Nutrition), 7(1), 30–36. https://doi.org/10.14710/jgi.7.1.30-36

Nursanti, Y. B., Yuda, A. D. M., Lukiswara, D. F., Savitri, R. P., Safitri, R. Dela, & Putri, S. A. N. (2024). Systematics Literature Review: Eksplorasi Etnomatematika pada Permainan Tradisional untuk Penanaman Konsep Bilangan dan Geometri. Edukatif : Jurnal Ilmu Pendidikan, 6(3), 1937–1945. https://doi.org/10.31004/edukatif.v6i3.6563

Prahmana, R. C. I., & D’Ambrosio, U. (2020). Learning Geometry And Values From Patterns Of Yogyakarta, Indonesia. Journal on Mathematics Education, 11(3), 439–456.

Prahmana, R. C. I., & Istiandaru, A. (2021). Learning sets theory using shadow puppet: A study of javanese ethnomathematics. Mathematics, 9(22), 1–16. https://doi.org/10.3390/math9222938

Risdiyanti, I., & Prahmana, R. C. I. (2018). Etnomatika : Eksplorasi Dalam Permainan Tradisional Jawa. Journal of Medives, 2(1), 1–11.

Rohaeti, E. E., Fitriani, N., & Akbar, F. (2020). Developing an Interactive Learning Model Using Visual Basic Applications With Ethnomathematical Contents To Improve Primary School Students’ Mathematical Reasoning. Infinity Journal, 9(2), 275–286. https://doi.org/10.22460/infinity.v9i2.p275-286

Rosa, M., & Orey, D. C. (2011). Ethnomathematics : The Cultural Aspects of Mathematics. Revita Latinoamericana de Rtnomatematica, 4(2), 32–54.

Spradley, J. P., & McCurdy, D. W. (1989). Conformity and conflict: Readings in cultural anthropology (7th ed.). Boston: Little, Brown and Company.

Supriyadi, E., Dahlan, J. A., Juandi, D., & Sugiarni, R. (2024). Discovering Ethnomathematics in Sundanese Gamelan : Explore Mathematics Aspect in Gamelan. JTAM:Jurnal Teori Dan Aplikasi Matematika, 8(3), 852–864.

Supriyadi, E., Turmudi, T., Dahlan, J. A., & Juandi, D. (2024). Development of Sundanese Gamelan Ethnomathematics E-Module for Junior High School Mathematics Learning. Malaysian Journal of Learning and Instruction, 21(2), 147–186. https://doi.org/10.32890/mjli2024.21.2.6

Wahid, M. A., Tiara, E., Riantin, I. R., & Hamdan, A. M. (2019). Menganalisa Gerak Harmonik Sederhana Pada Pegas Dan Bandul. Jurnal Phi: Jurnal Pendidikan Fisika Dan Fisika Terapan., 5(1), 6–12. https://jurnal.ar-raniry.ac.id/index.php/jurnalphi/article/download/6398/pdf

Yu, Y., Ma, J., Shi, X., Wu, J., Cai, S., Li, Z., Wang, W., Wei, H., & Wei, R. (2024). Study on the variable length simple pendulum oscillation based on the relative mode transfer method. PLoS ONE, 19(4), 1–17. https://doi.org/10.1371/journal.pone.0299399

Yudhi, P., & Septiani, F. (2024). Pembelajaran Dengan Etnomatematika Dalam Meningkatkan Pemahaman Konsep Matematika Abstrak. Inovasi Pendidikan, 11(1), 59–64. https://doi.org/10.31869/ip.v11i1.5649

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Published

2025-05-31