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All Journal Jurnal Gizi dan Pangan Cakrawala Pendidikan JURNAL PENELITIAN ILMU PENDIDIKAN Humanika : Kajian Ilmiah Mata Kuliah Umum Journal on Mathematics Education (JME) Jurnal Infinity Dinamika Pendidikan Dinamika Pendidikan Jurnal Prima Edukasia JAWI : Journal of Southeast Asia Islamic Contemporary Issues Agrimeta: Agrimeta: Jurnal Pertanian Berbasis Keseimbangan Ekosistem Jurnal Bakti Saraswati Tell : Teaching of English Language and Literature Journal AcTion: Aceh Nutrition Journal Abdimas Talenta : Jurnal Pengabdian Kepada Masyarakat BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Agrotek Tropika JURNAL PENDIDIKAN TAMBUSAI Khatulistiwa: Journal of Islamic Studies Jambura Journal of Mathematics Jurnal Abdimas Madani dan Lestari (JAMALI) Jurnal Ilmiah Keperawatan Imelda Jurnal Asy-Syukriyyah CERMIN: Jurnal Penelitian Tabularasa: Jurnal Ilmiah Magister Psikologi International Journal of Industrial Optimization (IJIO) Jurnal Ilmiah Satyagraha FOUNDASIA Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Operations Research: International Conference Series JURNAL MANAJEMEN AKUNTANSI (JUMSI) JOURNAL OF HUMANITIES, SOCIAL SCIENCES AND BUSINESS (JHSSB) Majalah Ilmiah Cahaya Ilmu EduMatika: Jurnal MIPA CASHFLOW : CURRENT ADVANCED RESEARCH ON SHARIA FINANCE AND ECONOMIC WORLDWIDE Jurnal Ilmiah Acton Jurnal Bisnis Corporate MENTARI : Journal Of Islamic Primary School Jurnal Infinity Advance Sustainable Science, Engineering and Technology (ASSET) Jurnal Gladiator Mathematics Education Journal Journal on Mathematics Education Pengenalan Lapangan Persekolahan Pendidikan Guru Sekolah Dasar MILANG Journal of Mathematics and Its Applications Jurnal Abdi Publik
Farida Hanum
Universitas Mahasaraswati Denpasar Bali
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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 , Agustiansyah ,, Senain Agus Hendra Al Rahmad Agus Karyanto Agus Maman Abadi Agus Prianto Ahmad Ahmad Aini, Dini Noor Al Fath, Muhammad Thoriq Alamsyah, Vandria Albinus Ngapu Albinus Ngapu Ali Khomsan Ali Kusnanto Alnedral Ambarita, Renata Amril Aman Amriyah, Amanatul Anggraini, Rima Fitrianita Ardo, Okilanda Ariefa Efianingrum Arif Rohman Ayu Usada Rengkaningtias Aziz, Ishak B. Wahyono, Sugeng Babby Hasmayni Bambang Trisakti Bib Paruhum Silalahi Bussa, Leni Oktaviana Cahya Agitsna, Sisca Amini Candra, Vivi Cepi Safruddin Abdul Jabar Cokorda Javandira Debi Eka Putri Dharmayanti, Putu Ayu Paramita DWI HAPSORO Dwitama, Nabila Vina Ebni Sholikhah Edmizal, Eval Elfrianto ., Elfrianto Elisabet Sartiana Saitun Fitriyah, Nina Sa'idah Gidion Lobo Lenga Giyanto, Giyanto - Hanum, Sastriani Harahap, M Ihsan Hari Susanto HASANAH, FARIDATUL Hasanah, Usrotul Hayashi, Masami Hendrick Sasimtan Putra I Dewa Nyoman Raka I Gusti Alit Ady Mulyawan I Gusti Putu Andre Agusta Putra I Ketut Sumantra I Ketut Widnyana I Made Suryana Ida Ayu Putu Sri Widnyani Ikhwanul Arifan Insani, Ulfah Iqbal, Daniev Syahirul Irvan Irvan Jaharuddin Jaharuddin, Jaharuddin Jailani Jailani Jailani Jeki Haryanto Joko Sri Sukardi, Joko Sri Kinanti, Yoanda Astri Ayu Kusuma, Anggun Badu La Rudi latifa, Sofia Leni Oktaviana Bussa Mahima, N M Anugrah Maryani Maryani Mauluddin Alif Utama, Muhammad Mayyani, Hidayatul Muhammad Hendra S Ginting Mulyawan, I Gusti Alit Ady Muslimin, Fatkhul Nada, Ana Quthratun Natasya, Yenny NEVIATY PUTRI ZAMANI Ngapu, Albinus Ni Gst. Ag. Gde Eka Martiningsih Ni Kadek Emawati Ni Nyoman Suryani Ni Putu Pandawani Noni Zakiah Nunung Nurjanah Nyoman Labek Suyasdi Putra Permana, Rendy Candra Prapto Tri Supriyo Putra, Nyoman Labek Suyasdi Putri, Viza Yelisanti Putu Eka Pasmidi Ariati Rasmani, Risma Rasyid, Nashfin Nazli Ratnadewi, Dwijani Rita Sari Rozy, Fakhrur Safwan Safwan, Safwan Sahara, Farahdila Salsabilla, Kamilia Samuel Maju Simanjuntak, Samuel Maju Sarah, Maya Sa’diyah, Chalimatus Senain, Senain Septia, Alifurriza Qurnia Setyawan, Fajar Shely Cathrin Sidabutar, Rivaldi Sinabang, Juwita Lestari Sinaga, Mersi Suriani Sinamo, Gloria Clarita Siswandi Sitepu, Rafael Aginta Siti Irene Astuti Dwiningrum Soniawan, Vega Sri Sumarni Sri Supiyati, Sri Sudiarto, Dwi Suhairi Suhairi Sulistiyawati Sulistiyawati Susmita, Nadya Suyantiningsih Suyantiningsih Syafrizaldi, Syafrizaldi Syahputra Sagala, Rizky Karina Syakina, Lana Syukur, Flavianus Pankrasius Taslim Teuku Fahmi Tien Aminatun Toni Bakhtiar Vita Novianti, Vita Wahyono, Sugeng B Yanuarief, Cecilia Yayat Heryatno Yuliandari, Siska Yuris, Evicenna YUSNITA YUSNITA