Exploring Ethnomathematical Geometry in Indonesian Shadow Puppetry Gunungan: Philosophical and Educational Implications
DOI:
https://doi.org/10.23917/varidika.v36i1.5661Keywords:
ethnography, Ethnomathematics, Shadow Puppet, GununganAbstract
This study delves into the philosophical dimensions of traditional architecture and the ethnomathematical geometry inherent in the mountains of shadow puppets, a significant aspect of Indonesia's cultural heritage. Utilizing a qualitative methodology with an ethnographic design, data were collected through observations and interviews with primary, secondary, and additional informants. The objective of this research is to uncover the mathematical concepts embedded in the mountains of shadow puppets, including geometry, algebra, arithmetic, and statistics, using an ethnographic approach that addresses four principal inquiries: "Where should I begin my investigation?", "How do I proceed with the search?", "How can I identify significant findings?", and "How do I interpret these findings?". The results indicate that among the four mathematical concepts investigated, only geometric concepts are present in the puppet mountains, as validated by a geometer. The geometric sub-concepts identified encompass (1) geometric transformations such as translation and reflection, (2) plane geometry including rhombuses, rectangles, triangles, and circles, and (3) congruence and symmetry. This research holds significant implications for enhancing students' mathematical education by incorporating geometric examples from local cultural contexts. Integrating ethnomathematics into school curricula can expand students' artistic horizons, boost their engagement in learning, and deepen their comprehension of mathematical concepts.
Downloads
References
Amany, A. (2020). Quizizz sebagai media evaluasi pembelajaran daring pelajaran matematika. Buletin Pengembangan Perangkat Pembelajaran, 2(2), 1-11.
D’Ambrosio, U. (1985). Ethnomathematics and Its Place in the History and Pedagogy of Mathematics. For the Learning of Mathematics, 5(1), 44–48. http://www.jstor.org/stable/40247876
Ian Perasutiyo, Muchyidin, A., & Indah Nursuprianah. (2022). Golden Ratio and the Meaning of the Wayang Kulit Gunungan Philosophy. Journal of Mathematics Instruction, Social Research and Opinion, 1(1), 41–53. https://doi.org/10.58421/misro.v1i1.10
Ishartono, N., & Ningtyas, D. A. (2021). Exploring Mathematical Concepts in Batik Sidoluhur Solo. International Journal on Emerging Mathematics Education, 5(2), 151. https://doi.org/10.12928/ijeme.v5i2.20660
Ishartono, N., Nurcahyo, A., Waluyo, M., Razak, R. A., Sufahani, S. F., & Hanifah, M. (2022). GeoGebra-based flipped learning model: An alternative panacea to improve student’s learning independency in online mathematics learning. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 7(3), 178–196. https://doi.org/10.23917/jramathedu.v7i3.18141
Jannati, A. A., & Sumardi, S. (2023, October). A minimum competency assessment-based electronic worksheets to improve mathematical literacy skills. In AIP Conference Proceedings (Vol. 2886, No. 1). AIP Publishing.
Kholid, M. N. et al. (2021). How are Students’ Conceptual Understanding for Solving Mathematical Problem? Journal of Physics: Conference Series (2021) 1776(1). https://dx.doi.org/10.1088/1742-6596/1776/1/012018
Lisnani, L., Zulkardi, Z., Putri, R. I. I., & Somakim, S. (2020). Etnomatematika: Pengenalan Bangun Datar Melalui Konteks Museum Negeri Sumatera Selatan Balaputera Dewa. Mosharafa: Jurnal Pendidikan Matematika, 9(3), 359–370. https://doi.org/10.31980/mosharafa.v9i3.754
Loita Aini. (2018). Simbol-Simbol Dalam Gunungan Wayang Kulit Jawa. Jurnal Pendidikan Seni, 1(2), 2620–8598.
Long, S., & Chik, Y. (2020). Fundamental applications of mathematics in agriculture and cultural heritage in daily life of Melanau Tellian, Mukah, Sarawak: An ethnomathematics review. Malaysian Journal of Social Sciences and Humanities (MJSSH), 5(11), 217–227. https://doi.org/10.47405/mjssh.v5i11.551
Maryati, & Prahmana, R. C. I. (2019). Ethnomathematics: Exploring the activities of culture festival. Journal of Physics: Conference Series, 1188(1). https://doi.org/10.1088/1742-6596/1188/1/012024
Maulidia Dwi Meyundasari, Intan Dwi Hastuti, Syaharuddin, Saba Mehmood. (2024). The geometric concepts of the Istana Dalam Loka traditional house: An ethnomathematics study. Jurnal Elemen, 10(2), 305-323, May 2024 https:/doi.org/10.29408/jel.v10i2.25208
Muhajirin, & Muhajirin. (2015). DARI POHON HAYAT SAMPAI GUNUNGAN WAYANG KULIT PURWA (Sebuah Fenomena Transformasi Budaya). Imaji, 8(1). https://doi.org/10.21831/imaji.v8i1.6656
Mustafa, S., & Ilmi, N. (2024). Innovative Strategies in Math Education: The Impact of PBL and TaRL on Concept Mastery and Classroom Dynamics. 36(1), 50–63. https://doi.org/10.23917/varidika.v36i1.5150
Noto, M. S., Firmasari, S., & Fatchurrohman, M. (2018). Etnomatematika pada sumur purbakala Desa Kaliwadas Cirebon dan kaitannya dengan pembelajaran matematika di sekolah [Ethnomathematics in ancient wells in Kaliwadas Village, Cirebon and its relationship to mathematics learning at school]. Jurnal Riset Pendidikan Matematika, 5(2), 201–210. https://doi.org/10.21831/jrpm.v5i2.15714
Nugroho, B. (2019). "Eksistensi Wayang Kulit di Jawa Tengah." Jurnal Kebudayaan Indonesia, 15(2), 34-45. Retrieved from https://journal.ugm.ac.id/kebudayaan-indonesia/article/view/10245
Nur Awalin, F. R. (2019). Sejarah Perkembangan Dan Perubahan Fungsi Wayang Dalam Masyarakat. Kebudayaan, 13(1), 77–89. https://doi.org/10.24832/jk.v13i1.234
Nurcahyo, R. J., & Yulianto, Y. (2021). Menelusuri Nilai Budaya Yang Terkandung Dalam Pertunjukan Tradisional Wayang. Khasanah Ilmu - Jurnal Pariwisata Dan Budaya, 12(2), 159–165. https://doi.org/10.31294/khi.v12i2.11440
Nyoman Astawan, & Ketut Muada. (2019). Seminar Nasional “Penanaman Nilai-nilai Pendidikan melalui Seni Budaya Nusantara” NILAI-NILAI PENDIDIKAN DALAM PERTUNJUKAN WAYANG KULIT BALI LAKON KUNTI YADNYA. 54–68.
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
Purnama, I. M., Wiratomo, Y., & Karim, A. (2022). Konsep Geometri pada Unsur Wayang Kulit. JKPM (Jurnal Kajian Pendidikan Matematika), 8(1), 157. https://doi.org/10.30998/jkpm.v8i1.15977
Rahmawati, D., & Suparno, S. (2020). "Nilai Pendidikan dalam Pertunjukan Wayang Kulit." Jurnal Pendidikan dan Kebudayaan, 13(3), 78-89. Retrieved from https://ejournal.uny.ac.id/index.php/pendidikan-kebudayaan/article/view/14321
Rinus, R. (2017). Etnomatematika Dalam Budaya Wayang Kulit Gunungan. Экономика Региона, 32.
Risdiyanti, I., & Prahmana, R. C. I. (2018). Ethnomathematics: Exploration in Javanese culture. of Physics: Conference https://doi.org/10.1088/1742-6596/943/1/012032
Rosa, M., Shirley, L., Gavarrete, M. E., & Alangui, W. V. (2021). Ethnomathematics and its diverse approaches for mathematics https://doi.org/10.1007/978-3-319-59220-6
Salsabila, A., & Tsurayya, A. (2024). The Effect of Using Edugame Wordwall on Students’ Mathematical Representation Ability. 36(1), 64–78. https://doi.org/10.23917/varidika.v36i1.4990
Setiawan, E. (2020). Makna Nilai Filosofi Wayang Kulit Sebagai Media Dakwah. Jurnal Al-Hikmah, 18(1), 37–56. https://doi.org/10.35719/alhikmah.v18i1.21
Smith, J. T. (1999). Methods of Geometry. Methods of Geometry. https://doi.org/10.1002/9781118032787
Sunardi, S. (2018). "Transformasi Wayang Kulit: Dari Tradisi ke Digital." Jurnal Seni Budaya, 10(1), 12-23. Retrieved from https://journal.unair.ac.id/index.php/seni-budaya/article/view/12134
Susanto, A., & Purwanto, B. (2020). "Ritual dan Upacara dalam Seni Wayang Kulit." Jurnal Sejarah dan Budaya, 7(2).https://journal.undip.ac.id/index.php/jsb/article/view/16345
Sutama, S., Anif, S., Prayitno, H. J., Narimo, S., Fuadi, D., Sari, D. P., & Adnan, M. (2021). Metacognition of Junior High School Students in Mathematics Problem Solving Based on Cognitive Style. Asian Journal of University Education, 17(1), 134–144. https://doi.org/10.24191/ajue.v17i1.12604
Sutawijaya, Ahmad. "Cultural Values in Wayang Puppet Plays: Implications for the Teaching of Mathematics." Journal on Mathematics Education, vol. 10, no. 2, 2019, pp. 265-282.
Widodo, A. (2021). "Adaptasi Wayang Wong dalam Era Modern." Jurnal Studi Tradisi, 8(2), 90-102. Retrieved from https://journal.uns.ac.id/studi-tradisi/article/view/17134
Yudianto, E., Febriyanti, R. A., Sunardi, S., Sugiarti, T., & Mutrofin, M. (2021). Eksplorasi etnomatematika pada Masjid Jami’ Al-Baitul Amien Jember [Ethnomathematical exploration at the Jami' Al-Baitul Amien Mosque in Jember]. Ethnomathematics Journal, 2(1), 11–20. https://doi.org/10.21831/ej.v2i1.36329
Zhang, C., Wijaya, T. T., Zhou, Y., Chen, J., & Ning, Y. (2021). Ethnomathematics values in temple of Heaven: An imperial sacrificial altar in Beijing, China. Journal of Physics: Conference Series, 2084(1), 012015. https://doi.org/10.1088/1742-6596/2084/1/012015
Downloads
Submitted
Accepted
Published
Versions
- 07/05/2024 (3)
- 07/04/2024 (2)
- 06/30/2024 (1)
Issue
Section
License
Copyright (c) 2024 Miftakhul Djannah, Naufal Ishartono, Argenti Agung Hayuni, Atikah Mufidah, Suliadi Fidaus bin Sufahani, Mohamad Waluyo

This work is licensed under a Creative Commons Attribution 4.0 International License.










