FROM RITUAL TO REASONING: EXPLORING ETHNOMATHEMATICAL CONCEPTS IN THE NGAWU-AWU CULTURAL TRADITION

Authors

DOI:

https://doi.org/10.69714/w7t8sc43

Keywords:

ethnomathematics, Ngawu-awu tradition, cultural geometry, contextual learning

Abstract

This study aims to examine and describe the mathematical concepts embedded in the Ngawu-awu tradition in Gunung Kidul Regency as part of an ethnomathematical inquiry. The research employed a qualitative approach with an ethnographic–ethnomathematical design. The research participants consisted of traditional leaders, village elders, tumpeng makers, and community members directly involved in the implementation of the tradition, selected through purposive sampling. Data were collected through participant observation, in-depth interviews, and documentation, and subsequently analyzed using thematic analysis. The findings reveal that the Ngawu-awu tradition embodies a comprehensive application of mathematical concepts, including geometry in the arrangement of tumpeng and uborampe (cones, circles, and symmetry), arithmetic and ratios in the distribution of agricultural yields, patterns and sequences in the scheduling of agricultural rituals, as well as measurement and estimation in communal rice field cleaning activities. These findings confirm that mathematics exists as a form of contextual intelligence integrated into the cultural practices of the community. Therefore, the Ngawu-awu tradition holds significant potential to be utilized as a contextual, meaningful, and culturally grounded source for ethnomathematics-based learning

References

Siregar & Restati, “Persepsi Siswa Pada Pelajaran Matematika: Studi Pendahuluan Pada Siswa yang Menyenangi Game,” Prosiding Temu Ilmiah X Ikatan Psikologi Perkembangan Indonesia, pp. 224–232, 2017.

F. Saleh et al., Kurikulum dan Pengembangan Kurikulum. Padang: Literasi Langsung Terbit, 2025.

Kintoko, S. Wulandari, and D. H. Siswanto, “Analysis of mathematical critical thinking skills based on students’ learning styles in Junior High School,” Journal of Instructional Mathematics, vol. 6, no. 1, pp. 1–13, 2025.

I. Liyanage, T. Walker, and H. Shokouhi, “Are we thinking critically about critical thinking? Uncovering uncertainties in internationalised higher education,” Think. Skills Creat., vol. 39, no. March, 2021, doi: 10.1016/j.tsc.2020.100762.

R. C. I. Prahmana and U. D’Ambrosio, “Learning geometry and values from patterns: Ethnomathematics on the batik patterns of yogyakarta, indonesia,” Journal on Mathematics Education, vol. 11, no. 3, pp. 439–456, 2020, doi: 10.22342/jme.11.3.12949.439-456.

S. Jelatu, Sariyasa, and I. Made Ardana, “Effect of GeoGebra-aided REACT strategy on understanding of geometry concepts,” International Journal of Instruction, vol. 11, no. 4, pp. 325–336, 2018.

D. H. Siswanto, “Mathematical Interpretation of the Geblek Renteng Batik Theme: Exploring Geometric Transformations,” Journal of Pedagogy and Education Science (JPES), vol. 4, no. 01, pp. 36–50, 2025.

S. B. Yuliani, S. K. Dewi, Z. Q. Ain, and E. L. W. Palupi, “Pengembangan Modul Berbasis Etno-RME Berbalut Konteks Wayang Kulit Mahabharata pada Materi Himpunan untuk Siswa Kelas 7,” Jurnal Ilmiah Pendidikan Matematika, vol. 1, no. 5, pp. 59–66, 2019.

W. A. Wibowo, H. Suryatama, and D. H. Siswanto, “Exploring the impact of the Merdeka Curriculum on mathematics education in Elementary Schools,” International Journal of Learning Reformation in Elementary Education, vol. 4, no. 01, pp. 27–38, 2025, doi: 10.56741/ijlree.v4i01.793.

M. M. A. Maba, D. H. Siswanto, and N. Z. Caesaria, “Ethnomathematical exploration of the Apem Wonolelo tradition in Sleman Regency,” Jurnal Padamu Negeri, vol. 2, no. 4, pp. 161–171, Nov. 2025, doi: 10.69714/x4xp7f07.

T. N. Pulungan, Muntamah, H. Kuswantara, and D. H. Siswanto, “Studi implementasi pendekatan pembelajaran berbasis TPACK untuk meningkatkan kompetensi murid,” MURABBI, vol. 3, no. 1, pp. 139–151, 2024.

U. D’Ambrosio, Ethnomathematics: Link Between Traditions and Modernity. 2001.

M. Turmuzi, I. G. P. Suharta, and I. N. Suparta, “Ethnomathematical research in mathematics education journals in Indonesia: A case study of data design and analysis,” Eurasia Journal of Mathematics, Science and Technology Education, vol. 19, no. 1, pp. 1–13, 2023, doi: 10.29333/ejmste/12836.

R. Z. Anggraeni, Zaenuri, and N. R. Dewi, “The patterns of students’ mathematical critical thinking ability in the SSCS model assisted by microsoft teams with ethnomathematical variations in terms of adversity quotient,” International Journal of Education and Research, vol. 10, no. 2, pp. 115–126, 2022.

E. Rahmadhani, “Etnomatemathematics dan Permainan Tradisional dalam Pendidikan Matematika,” Jurnal Pembelajaran Matematika Inovatif, vol. 5, no. 1, pp. 81–94, 2022, doi: 10.22460/jpmi.v5i1.81-94.

S. Yanti, “The Role of Etnomathematics in Enhancing Contextual Mathematics Understandinf Among Student,” International Journal of Humanity Advance Business & Science, vol. 2, no. 4, pp. 321–330, 2025, doi: 10.59971/ijhabs.v2i4.402.

R. Efendi, D. H. Siswanto, and S. A. Saputra, “Deep Learning approach to teaching multiplication concepts using coin media: Classroom ction research in Elementary School,” Jurnal Padamu Negeri, vol. 2, no. 2, pp. 87–97, 2025, doi: 10.69714/xaewmx28.

S. R. Alam, D. H. Siswanto, and D. Aprilia, “Implementasi pembelajaran STEM terintegrasi computational thinking untuk meningkatkan kemampuan pemecahan masalah murid,” Papanda Journal of Mathematics and Science Research, vol. 4, no. 1, pp. 40–50, 2025.

C. Santos and A. Barbosa, “The Impact of Written Feedback in Geometry Problem Solving through a Gallery Walk,” International Journal of Education in Mathematics, Science and Technology, vol. 11, no. 5, pp. 1131–1153, 2023, doi: 10.46328/ijemst.2891.

F. Gurmu, C. Tuge, and A. B. Hunde, “Effects of GeoGebra-assisted instructional methods on students’ conceptual understanding of geometry,” Cogent Education, vol. 11, no. 1, pp. 1–19, 2024, doi: 10.1080/2331186X.2024.2379745.

M. Turgut, “Reinventing Geometric Linear Transformations in a Dynamic Geometry Environment: Multimodal Analysis of Student Reasoning,” Int. J. Sci. Math. Educ., vol. 20, no. 6, pp. 1203–1223, 2022, doi: 10.1007/s10763-021-10185-y.

M. R. Ridha, E. E. Pramiarsih, and Widjajani, “The Use of Geogebra Software in Learning Geometry Transformation to Improve Students’ Mathematical Understanding Ability,” J. Phys. Conf. Ser., vol. 1477, no. 4, 2020, doi: 10.1088/1742-6596/1477/4/042048.

E. Susanti, H. Kurniawan, S. A. Widodo, and K. S. Perbowo, “Ethnomathematics: Concept of Geometry and Cultural Wisdom In The Construction of The Minangkabau Gadang House,” Mathline: Jurnal Matematika dan Pendidikan Matematika, vol. 8, no. 4, pp. 1259–1270, 2023.

D. H. Siswantoa, Andriyani, and M. Y. Rambe, “Improving mathematics interest and achievement through contextual teaching and learning,” Journal of Professional Teacher Education, vol. 03, no. 01, pp. 01–11, 2025, doi: 10.12928/jprotect.v3i1.799.

N. Yogyanto, S. A. Pisriwati, and D. H. Siswanto, “Education on the contextual utilization of information technology based on the IoT in the daily lives of senior high school students,” Civitas: Jurnal Pengabdian Masyarakat, vol. 1, no. 1, pp. 21–27, 2024, doi: 10.61978/civitas.v1i1.335.

D. H. Siswanto and W. Astiwi, Pembelajaran Matematika Digital: Transformasi dan Inovasi Era 5.0, 1st ed. Padang: Literasi Langsung Terbit, 2025.

E. Fitriana, D. H. Siswanto, and A. Hanama, “Impact of thematic worksheet-assisted meaningful learning implementation on students’ mathematical concept understanding and metacognitive skills,” Jurnal Praktik Baik Pembelajaran Sekolah dan Pesantren, vol. 4, no. 02, pp. 54–67, 2025, doi: 10.56741/pbpsp.v4i02.788.

J. W. Creswell, Reseach design: Pendekatan kualitatif, kuantitatif, dan mixed. Yogyakarta: Pustaka pelajar., 2014.

N. Naufal, F. Apriani, Fajriana, Nurdin, K. Nurdin, and D. H. Siswanto, Analisis Multivariat. Padang: Literasi Langsung Terbit, 2025.

S. T. Nazarovich, “An Overview of Existing Problems in Teaching the Science ”Fundamentals of Geometry”,” International Journal of Social Sciences & Educational Studies, vol. 11, no. 2, pp. 91–106, 2024, doi: 10.23918/ijsses.v11i2p91.

V. Izard, P. Pica, and E. S. Spelke, “Visual foundations of Euclidean geometry,” Cogn. Psychol., vol. 136, no. March 2019, 2022, doi: 10.1016/j.cogpsych.2022.101494.

P. Hartati, E. Efrida Muchlis, and A. Susanta, “Numeracy skills of students in solving geometry problems within the Bengkulu context,” Jurnal Pendidikan MIPA, vol. 25, no. 3, pp. 1518–1531, 2024, doi: 10.23960/jpmipa/v25i3.pp1518-1531.

F. T. Hatmoko, S. Rochmat, D. H. Siswanto, and S. A. Pisriwati, “Integrasi teknologi dalam pendidikan Sekolah Dasar sebagai upaya peningkatkan literasi,” MURABBI, vol. 3, no. 2, pp. 112–124, 2024, doi: 10.69630/jm.v3i2.47.

S. Rochmat, Andriyani, and D. H. Siswanto, “Developing an RME-based 3D storybook with AR technology to enhance spatial ability,” Bulletin of Applied Mathematics and Mathematics Education, vol. 5, no. 1, pp. 9–22, 2025, doi: 10.12928/bamme.v5i1.10880.

B. Rósa, “In pursuit of social emotional learning in a Swedish pre-service teacher education programme: A qualitative study of intended curriculum,” Teach. Teach. Educ., vol. 142, no. June, pp. 1–12, 2024.

D. Juandi and M. Tamur, “The Impact of Problem-Based Learning Toward Enhancing Mathematical Thinking: A Meta-Analysis Study,” Journal of Engineering Science and Technology, vol. 16, no. 4, pp. 3548–3561, 2021.

B. Barton, Cultural Mathematics: Connecting Indigenous Knowledge and Mathematical Thinking. Springer, 2020.

D. H. Siswanto, H. Kuswantara, and N. Wahyuni, “Implementation of problem based learning approach culturally responsive teaching to enhance engagement and learning outcomes in algebraic function limit material,” EDUCATUM JSMT, vol. 12, no. 1, pp. 80–88, 2024, doi: 10.37134/ejsmt.vol12.1.9.2025.

M. Nu’man and R. Azka, “Kesulitan Siswa dalam Menyelesaikan Masalah Geometri,” Polynom : Journal in Mathematics Education, vol. 3, no. Knpmp I, pp. 164–171, 2023, doi: http://dx.doi.org/10.14421/polynom.2023.32.49-55.

D. H. Siswanto, K. Tanikawa, E. K. Alghiffari, M. Limori, and D. D. Aprilia, “A Systematic Review: Use of GeoGebra in Mathematics Learning at Junior High School in Indonesia and Japan,” Jurnal Pendidikan Matematika (Kudus), vol. 7, no. 1, pp. 1–20, 2024, doi: http://dx.doi.org/10.21043/jpmk.v7i1.26201.

W. D. Astutik, D. H. Siswanto, and Kintoko, “Penerapan RME: Peningkatan Prestasi Belajar Matematika Murid,” Murabbi, vol. 4, no. 1, pp. 46–56, 2025, doi: 10.69630/jm.v4i1.61.

S. A. Saputra, H. Suryatama, W. A. Wibowo, D. H. Siswanto, and Y. Kristiawan, “Membangun Kesadaran Pancasila: Dialog Pemuda Melawan Ancaman Radikalisme Global,” Jurnal Solusi Masyarakat Dikara, vol. 5, no. 1, pp. 7–11, 2025.

Downloads

Published

2026-01-21

How to Cite

FROM RITUAL TO REASONING: EXPLORING ETHNOMATHEMATICAL CONCEPTS IN THE NGAWU-AWU CULTURAL TRADITION (Muhamad Syahdan Sa’id, Deny Hadi Siswanto, & Kintoko Kintoko , Trans.). (2026). Jurnal Padamu Negeri, 3(2), 01-09. https://doi.org/10.69714/w7t8sc43