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Kusuma, Anggun Badu
Universitas Muhammadiyah Purwokerto
Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Computer Science & IT Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Library & Information Science Mathematics Physics Social Sciences Other

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Journal : Mathematics Education Journal

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Mathematical Insights into Aboge Calendar: Ethnomathematics Study of Javanese Cultural Heritage in Cikakak Village Kusuma, Anggun Badu; Hanum, Farida; Abadi, Agus Maman
Mathematics Education Journal Vol. 19 No. 3 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v19i3.pp567-584

Abstract

Traditional calendars often embody complex knowledge systems that remain underexplored in formal academic discourse, especially in the context of indigenous mathematics. This study investigates the mathematical structures embedded in the Javanese Aboge calendar, a traditional timekeeping system preserved by the Aboge community in Cikakak Village, Banyumas Regency, Indonesia. While the official Javanese calendar has transitioned to the Asapon kurup, the Aboge community continues to follow the older Aboge kurup, rooted in local belief and tradition. Using a qualitative descriptive approach and ethnographic methods—comprising field observations, interviews, and collaborative computations—this study examines the underlying mathematical logic of the calendar. The findings reveal that the Aboge calendar applies modular arithmetic, particularly congruences modulo 7 (days) and modulo 5 (pasaran), to determine the first day of each month. These values follow recursive patterns modeled using mathematical formulas. Additionally, the Chinese Remainder Theorem is employed to calculate intervals between specific day-pasaran pairs, validating traditional practices through formal mathematical reasoning. The results demonstrate that the Aboge calendar encapsulates sophisticated mathematical concepts traditionally transmitted through memorization. This study highlights the value of cultural diversity and affirms the role of indigenous knowledge in sustainable development, reinforcing the importance of integrating local traditions into educational and heritage preservation efforts.
Co-Authors Agus Maman Abadi Ahmad Ahmad Ahmad Ahmad Akhmad Jazuli Anthony Saputra Anton Jaelani Anton Jaelani Anugraeni, Alfisyahputri Aprilina, Amanda Arifin Suryo Nugroho Arum Adita Astri Utami Astria, Restu Deka, Silvia Dela Citra Sabrina DEWI RAHMAWATI Dewi, Resti Putri Rahma Eka Setyaningsih Eka Setyaningsih Eka Setyaningsih Eka Yanuar Ramadhani Erni Widyastuti, Erni Fadila, Meyla Tri Farida Hanum Farida Hanum Faza, Aruni Fira Nur Setiyana Fira Nur Setiyana Fitrianto Eko Subekti Gunawan Gunawan Gunawan Gunawan Heri Retnawati Khofifatul Amri Kusno Kusno Leisita Sherly Cendana Lisa Ririn Handayani Listika Yusi Risnani Listyani, Erlin Mauliyana, Dini Nur Narunita, Witsuka Jati Nurfitriani, Dian Ageng Prestisdiva, Hazima Najla Putri Prastanti Putri, Hilda Abelia Waluyo Ramadhani, Eka Yanuar Reni Untarti Sabrina, Dela Citra Sinta Nuraeni Siti Nur Afifah Tadqiroh, Alfiatun Tetra Hajar Nuraeni Unzila Mega Sofyana Yoka Agry Sativa