Number And Set Theory in Gamelan: An Ethnomathematics Study

Dewi Mekarsari Oktaviyani(1), Niken Wahyu Utami(2*), Gusnandar Yoga Utama(3)

(1) Universitas PGRI Yogyakarta
(2) Universitas PGRI Yogyakarta
(3) SEAMEO QITEP in Mathematics
(*) Corresponding Author

Abstract

Numbers and Sets are mathematical subject matter that can be learned using context in life. One of the contexts that can be used is gamelan artifacts. Gamelan contains the values of local wisdom that have become part of the identity of the Indonesian nation.  Ethnomathematics sets and numbers in gamelan must be explored as contexts in related mathematical learning.  The study aims to explore ethnomathematics related to the sociocultural context of Gamelan, offering an alternative approach to mathematical learning on sets and numbers. Employing an interpretive ethnographic approach based on Alangui's framework, the study unfolds across two art studios and three schools in Indonesia, engaging karawitan art culturalists and junior high school mathematics teachers as key informants. Through observation, documentation, field notes, and interviews, our findings reveal that gamelan artifacts can enrich the teaching of sets and numbers with their various types, shapes, and sizes. Hence, the results offer a transformative perspective for teachers, preservice teachers, and mathematics educators to integrate gamelan artifacts into mathematics lessons.

Keywords

Culture, Ethnomathematics;Gamelan;Number;Set Theory

Full Text:

PDF

References

Alangui, W. v. (2010). Stone walls and water flows: Interrogating cultural practice and mathematics.

Ammy, P. M. (2021). Pengembangan Modul Digital Interaktif Berbasis Articulate Studio ’ 13 Dalam Pembelajaran Matematika Materi Himpunan. SiNTESa CERED, Seminar Nasional Teknologi Edukasi Dan Humaniora 2021, Ke-1, 14.

Bowen, G. A. (2009). Document analysis as a qualitative research method. Qualitative Research Journal, 9(2), 27–40. https://doi.org/10.3316/QRJ0902027

Capwell, C. (2004). Excursions In World Music. In The Music of Indonesia (Vol. 4, pp. 141–170).

Chinn, P. W. U. (2014). Place and culture-based professional development: cross-hybrid learning and the construction of ecological mindfulness. Cultural Studies of Science Education, 10(1), 121–134. https://doi.org/10.1007/s11422-014-9585-0

Ferdiansyah, F. (2010). Mengenal Secara Mudah dan Lengkap Kesenian Karawitan (Gamelan Jawa). Garailmu.

Gerofsky, S., & Goble, J. S. (2007). A conversation on embodiment at the heart of abstraction in mathematics education and music education. Journal of the Canadian Association for Curriculum Studies. https://doi.org/10.25071/1916-4467.17024

Gunawan Gunawan, & Richki Hardi. (2021). Perancangan dan Implementasi Elearning Pada Matakuliah Logika Fuzzy. METIK JURNAL, 5(2). https://doi.org/10.47002/metik.v5i2.298

Habiburrahman, & Uray, R. (2021). Rancang Bangun Aplikasi Rekomendasi Penentuan Tema Tugas Akhir Berbasis Mobile Dengan Menerapkan Metode Fuzzy Sugeno (Studi Kasus : Program Studi Rekayasa Sistem Komputer). Jurnal Komputer Dan Aplikasi, 9(2).

Hidayatullah, A. (2018). Pendampingan Relawan Matematika Asyik (Rematika) Terhadap Siswa di Sekolah dan Anak-Anak Nelayan Pinggir Pantai Kenjeran Surabaya. AKSIOLOGIYA : Jurnal Pengabdian Kepada Masyarakat, 2(1). https://doi.org/10.30651/aks.v2i1.1240

Iswantoro, G. (2017). Kesenian Musik Tradisional Gamelan Jawa Sebagai Kekayaan Budaya Bangsa Indonesia (Traditional Gamelan Java Art Music As Indonesian Cultural Feasibility ). Jurnal Sins Terapan Pariwisata, 3(1), 129–143.

Jamilah, J., Suryadi, D., & Priatna, N. (2020). Didactic transposition from scholarly knowledge of mathematics to school mathematics on sets theory. Journal of Physics: Conference Series, 1521(3). https://doi.org/10.1088/1742-6596/1521/3/032093

Judith Becker. (2019). Traditional music in modern Java: Gamelan in a changing society. University of Hawaii Press.

Kincheloe, J. L., & Horn, R. A. (2007). The Praeger handbook of education and psychology. Praeger.

Liu, C. L. (1986). Elements of Discrete Mathematics 2nd Edition. McGraw-Hill.

Mirza, A. (2012). Mempertimbangkan Logika Himpunan Kabur Masuk Dalam Kurikulum Matematika Sekolah. Jurnal Pendidikan Matematika Dan IPA, 3(2). https://doi.org/10.26418/jpmipa.v3i2.23760

Moalosi, R., Popovic, V., & Hickling-Hudson, A. (2010). Culture-orientated product design. International Journal of Technology and Design Education, 20(2). https://doi.org/10.1007/s10798-008-9069-1

Murniati, M. (2022a). Pengelompokan Data Jaminan Kematian Berdasarkan Kecamatan Dengan Metode Clustering. Jurnal Teknik, Komputer, Agroteknologi Dan Sains, 1(1). https://doi.org/10.56248/marostek.v1i1.16

Murniati, M. (2022b). Pengelompokan Data Jaminan Kematian Berdasarkan Kecamatan Dengan Metode Clustering: Studi Kasus: BPJS Ketenagakerjaan Cabang Langkat. Jurnal Teknik, Komputer, Agroteknologi Dan ….

Nasution, H. (2020). Implementasi Logika Fuzzy pada Sistem Kecerdasan Buatan. ELKHA: Jurnal Teknik Elektro, 4(2).

Novák, V. (2012). Reasoning about mathematical fuzzy logic and its future. Fuzzy Sets and Systems. https://doi.org/10.1016/j.fss.2010.09.019

Perlman, M. (1994). American Gamelan in the garden of Eden: Intonation in a cross-cultural encounter. Musical Quarterly, 78(3). https://doi.org/10.1093/mq/78.3.510

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

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

Ratanajaya, D., & Wibawa, H. A. (2018). Implementasi Kecerdasan Buatan dalam Menentukan Aksi Karakter pada Game RPG dengan Logika Fuzzy Tsukamoto. Khazanah Informatika : Jurnal Ilmu Komputer Dan Informatika, 4(2). https://doi.org/10.23917/khif.v4i2.6744

Rudiansyah, A., Bahruddin, M., & Yosep, S. P. (2015). Pengenalan Alat Musik Tradisional Pada Anak-Anak. Jurnal Desain Komunikasi Visual, 4(2).

Scott-Maxwell, A., & Becker, J. (1984). Traditional Music in Modern Java. Gamelan in a Changing Society. Yearbook for Traditional Music, 16. https://doi.org/10.2307/768214

Setio, B., & Prasetyaningrum, P. (2021). Penerapan Data Mining Dalam Mengelompokkan Kunjungan Wisatawan Di Kota Yogyakarta Menggunakan Metode K-Means. Journal of Computer Science and Technology (JCS-TECH), 1(1). https://doi.org/10.54840/jcstech.v1i1.9

Spiller, H., & Clendinning, E. A. (2021). Focus: Gamelan Music of Indonesia. In Focus: Gamelan Music of Indonesia. https://doi.org/10.4324/9781003014836

Supardi. (2013). Ricikan struktural salah satu indikator pada pembentukan gending dalam karawitan Jawa. Keteg, 13(1), 2–28.

Toth, A., & Becker, J. (1983). Traditional Music in Modern Java: Gamelan in a Changing Society. Ethnomusicology, 27(1). https://doi.org/10.2307/850897

Utami, N. W., Sayuti, S. A., & Jailani. (2019). Math and mate in javanese primbon: Ethnomathematics study. Journal on Mathematics Education, 10(3). https://doi.org/10.22342/jme.10.3.7611.341-356

Utami, N. W., Sayuti, S. A., & Jailani, J. (2021). Indigenous artifacts from remote areas, used to design a lesson plan for preservice math teachers regarding sustainable education. Heliyon, 7(3), e06417. https://doi.org/https://doi.org/10.1016/j.heliyon.2021.e06417

Vinlove, A. (2016). Place, positionality, and teacher preparation. Journal of Sustainability Education, 11(February).

Wegner, S.-A. (2021). A workshop for high school students on naive set theory. European Journal of Science and Mathematics Education, 2(4). https://doi.org/10.30935/scimath/9411

Zadeh, L. A. (1968). Probability Measures of Fuzzy Events. Journal of Mathematical Analysis and Applications, 23(02), 421–427.

DOI: 10.23917/varidika.v35i2.23219

Article Metrics

Abstract view(s): 271 time(s)
PDF: 219 time(s)

Refbacks

  • There are currently no refbacks.