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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.
PERDEBATAN PERSPEKTIF EPISTEMOLOGIS DARI BEBERAPA ALIRAN DALAM FILSAFAT MATEMATIKA Anugraeni, Alfisyahputri; Kusuma, Anggun Badu
AL KHAWARIZMI: Jurnal Pendidikan Matematika Vol. 5 No. 2 (2025): VOL 5 NO 2
Publisher : Sekolah Tinggi Keguruan dan Ilmu Pendidikan (STKIP) Melawi

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Matematika seringkali dianggap sebagai ilmu yang kebenarannya sudah pasti dan bebas dari keraguan. Namun, dalam ranah filsafat matematika muncul perdebatan dari berbagai aliran yang mempertanyakan dasar-dasar pengetahuan dan kebenaran dari matematika. Artikel ini dibuat untuk membahas perdebatan perspektif epistemologi dari berbagai aliran filsafat matematika, seperti platonisme, absolutisme, fallibillisme, konvensionalisme, dan empirisme. Masing-masing aliran tersebut menawarkan pandangan yang berbeda mengenai kebenaran matematika. Metode yang digunakan dalam artikel ini adalah studi pustaka (library research). Kesimpulan dari artikel ini yaitu perbedaan perspektif epistemologis dalam filsafat matematika tidak hanya mencerminkan keragaman cara pandang terhadap matematika, tetapi juga mendorong refleksi yang lebih dalam terhadap pengetahuan matematika.
Pelatihan penggunaan Canva dalam pembelajaran di SMP Muhammadiyah Sumbang Kusuma, Anggun Badu; Setyaningsih, Eka; Jaelani, Anton; Israhayu, Eko Sri
ABDIMAS DEWANTARA Vol 7 No 1 (2024)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/ad.v7i1.15859

Abstract

Pada saat ini kemampuan penggunaan teknologi dalam pembelajaran merupakan suatu kebutuhan. Tujuan dari kegiatan ini adalah meningkatkan kemampuan guru dalam penggunaan aplikasi Canva dalam pelaksanaan pembelajaran untuk guru-guru di SMP Muhammadiyah Sumbang. Metode kegiatan ini dilakukan dengan ceramah, diskusi, tanya jawab, praktik, dan pemberian tugas. Tahapan kegiatan terdiri dari: (1) pemaparan pentingnya media teknologi dalam pembelajaran, (2) praktik pembuatan media pembelajaran menggunakan canva, dan (3) pendampingan dalam membuat media pembelajaran menggunakan canva. Luaran dari kegiatan pelatihan ini adalah kemampuan guru dalam membuat presentasi dan video pembelajaran menggunakan canva. Hasil dari pelatihan ini adalah guru mampu mengumpulkan file presentasi pembelajaran menggunakan canva. Selain itu, berdasarkan hasil angket diperoleh kesimpulan bahwa pelatihan sesuai dengan kebutuhan guru dan guru mengharapkan agar dilakukan pelatihan-pelatihan lain pada periode selanjutnya.   Training on using Canva in learning at Muhammadiyah Sumbang Middle School   Abstract: At this time, the ability to use technology in learning is necessary. This activity aims to improve teachers’ skills in using the Canva application in implementing learning for teachers at Muhammadiyah Sumbang Middle School. This activity is carried out by lectures, discussions, questions and answers, practice, and giving assignments. The stages of the training consist of (1) a presentation of the importance of technological media in learning, (2) the practice of making learning media using Canva, and (3) assistance in making learning media using Canva. The output of this training activity is the teacher’s ability to make presentations and learning videos using Canva. The result of this training is that teachers can collect learning presentation files using Canva. In addition, based on the questionnaire results, it was concluded that the movement was following the teacher’s needs, and the teacher hoped that other training would be carried out in the next period.
The Impact of The Independent Learning Curriculum's Development on Mathematics Education Kusuma, Anggun Badu; Dewi, Resti Putri Rahma
Al-Khawarizmi Vol 8 No 2 (2024): Al Khawarizmi: Jurnal Pendidikan dan Pembelajaran Matematika
Publisher : Universitas Islam Negeri Ar-Raniry Banda Aceh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22373/jppm.v8i2.22502

Abstract

The curriculum is a set of educational program plans used as guidelines for implementing learning activities to achieve national education goals. The independent curriculum is newly established in Indonesia and will undoubtedly influence learning, including mathematics. This research aims to analyse the impact of changes to the independent curriculum on mathematics learning. This research uses the Systematic Literature Review (SLR) method by reviewing articles and identifying, analysing, and concluding several studies that have been conducted previously. Article searches were done using the Google Scholar search engine and the publish or perish application. The research results found that the development of the independent curriculum had a significant influence on mathematics learning. The positive impact of implementing mathematics learning is that students' abilities in mathematics increase, and teachers can increase their ability to innovate and be creative. Meanwhile, the negative impact of implementing mathematics learning is that there are still insufficient teachers and difficulty creating learning tools.
Eksplorasi Etnomatematika terhadap Pola dan Struktur Matematis Batik Khas Wonosobo Fadila, Meyla Tri; Tadqiroh, Alfiatun; Sabrina, Dela Citra; Kusuma, Anggun Badu
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.978

Abstract

Batik khas Wonosobo merupakan salah satu warisan budaya lokal yang kaya akan pola visual serta banyak memuat unsur-unsur geometris dalam setiap motifnya. Namun demikian, motif batik Wonosobo masih belum banyak dimanfaatkan sebagai sumber belajar dalam pembelajaran matematika di sekolah. Penelitian ini bertujuan untuk mengeksplorasi konsep-konsep matematika dan nilai-nilai budaya yang terkandung dalam ragam motif batik khas Wonosobo melalui pendekatan etnomatematika. Studi ini menggunakan metode kualitatif dengan pendekatan etnografi. Partisipan dalam penelitian ini adalah para pengrajin batik di daerah Talunombo dan sekitarnya, sedangkan objek analisisnya berupa motif-motif batik Wonosobo yang diproduksi dalam lingkungan budaya setempat. Data dikumpulkan melalui wawancara, observasi lapangan, dan dokumentasi. Analisis data dilakukan melalui interpretasi mendalam terhadap fenomena yang ditemukan serta pemaknaan budaya dari para informan, yang kemudian dipadukan dengan analisis peneliti melalui diskusi kelompok terfokus (FGD). Temuan penelitian menunjukkan bahwa motif batik Wonosobo memuat konsep-konsep matematika seperti simetri, transformasi geometri, pola pengulangan, serta bangun datar. Selain itu, motif tersebut mencerminkan nilai-nilai budaya lokal seperti kreativitas, pelestarian tradisi, dan identitas daerah. Hasil penelitian ini berpotensi dimanfaatkan dalam pengembangan pembelajaran matematika berbasis kearifan lokal khususnya di Wonosobo.
Eksplorasi Etnomatematika pada Ragam Motif Batik Gumelem Banjarnegara Aprilina, Amanda; Faza, Aruni; Listyani, Erlin; Kusuma, Anggun Badu
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.983

Abstract

This study aims to explore the mathematical aspects of various Gumelem batik motifs typical of Banjarnegara Regency. The background of this study is the lack of mathematical studies that focus on this batik. The method used is descriptive qualitative with an ethnographic approach through direct observation, documentation, and in-depth interviews with batik artisans. Data analysis was carried out by identifying mathematical elements such as plane geometry, similarity, congruence, geometric transformations, algebraic principles, and number sequence patterns. The results show that Gumelem batik motifs contain various mathematical components. The Watu Pecah motif contains the concepts of triangles, rhombuses, and congruence. The Gedong Kosongan Coletan motif depicts similarity and the Two-Variable Linear Equation System (SPLDV). The Kawung Plangkah Merak motif includes dilation and rotation, while the Babon Angrem motif applies reflection and the Dieng Temple motif shows translation. In addition, the Udan Liris motif depicts the concept of number sequences. This study confirms the great potential of Gumelem batik as a local culture-based mathematics learning medium (ethnomathematics) that is relevant to local wisdom.
GEOMETRIC PRACTIES IN CULTURAL CONTEXTS: AN ETHNOMATHEMATICAL ANALYSIS OF THE KEBUMEN WAYANG KAYON Rahmawati, Dewi; Kusuma, Anggun Badu
Journal of Authentic Research on Mathematics Education (JARME) Vol 8, No 1 (2026)
Publisher : Program Studi Magister Pendidikan Matematika, Universitas Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37058/jarme.v8i1.17785

Abstract

Mathematics is not only manifested as a formal symbolic system but also develops as a form of thinking embedded in cultural practices. This study aims to analyze the mathematical elements of the kayon (gunungan) in Kebumen shadow puppetry as representations of mathematical practices and to examine their relevance for geometry education. A qualitative interpretative approach within the framework of ethnomathematics was employed using an emic–etic perspective. Data were collected through visual observation, semi-structured interviews with a puppeteer-craftsman, and documentation supported by relevant literature. The data were analyzed thematically and interpretatively by linking cultural practices with formal mathematical concepts. The findings reveal that the triangular structure, reflective symmetry, repetitive ornament patterns, and height–width proportions of the kayon function as practical mechanisms for achieving aesthetic balance and functional stability rather than merely as visual forms. These results demonstrate that non-formal mathematical knowledge possesses epistemological legitimacy within its cultural context. This study contributes to the theoretical development of ethnomathematics by repositioning cultural artifacts as representations of mathematical practices and provides a conceptual foundation for culturally responsive geometry learning.
Eksplorasi Konsep Etnomatematika dalam Struktur Arsitektur Candi Arjuna di Banjarnegara Hanifah Dwi Sulistiowati; Biyatmoko, Prabu; Fauziyyah, Hasna Ainun; Kusuma, Anggun Badu
Griya Journal of Mathematics Education and Application Vol. 6 No. 1 (2026): Maret 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i1.1009

Abstract

This study aims to explore ethnomathematical concepts embedded in the architectural structure of Candi Arjuna in Banjarnegara Regency as one of the Hindu cultural heritage sites in Central Java. The research employed a qualitative approach using an ethnographic research design, focusing on revealing mathematical meanings within the context of local culture. Data were collected through direct observation of the research object, limited interviews with relevant parties, and visual documentation of the temple’s architectural elements. The data were then analyzed descriptively using qualitative analysis procedures, including data reduction, data presentation, and conclusion drawing. The findings indicate that the front façade of Candi Arjuna implicitly integrates various mathematical concepts, including rectangular and triangular plane figures, vertical symmetry, and tiered patterns in the stepped-pyramid structure. The regularity of forms, uniformity of dimensions, and balance in the building’s composition demonstrate the application of contextual and meaningful mathematical principles within the cultural practices of the society at that time. These findings confirm that the architecture of Candi Arjuna is not only of historical and aesthetic value but also holds potential as a contextual ethnomathematics-based resource for mathematics learning that is closely connected to students’ cultural environments.
Factors Influencing Mathematics Learning: Path Analysis Anggun Badu Kusuma; Heri Retnawati
EduMa: Mathematics education learning and teaching Vol. 11 No. 2 (2022)
Publisher : Jurusan Tadris Matematika UIN Siber Syekh Nurjati Cirebon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24235/eduma.v11i2.10514

Abstract

The factors that influence the learning of mathematics are very diverse. On this occasion, the focus is on gender, learning styles, learning independence, and motivation. These factors are fascinating because they always appear in learning and research themes. This study aimed to examine how the influence of these factors on learning achievement. This research is associational research which is a descriptive research methodology. The research subjects are 5th-semester students who take calculus courses, mathematics education study program, Universitas Muhammadiyah Purwokerto. The instruments used in this study were questionnaires and learning outcomes tests. To analyze the data used, LISREL (Linear Structural Relationship) software. The results showed that not all variables affect each other directly. Gender influences learning motivation. Learning style has an impact on learning motivation. Learning motivation affects learning independence. Learning independence influences learning achievement. Learning motivation influences learning achievement. If it is seen how they influence learning achievement, then learning motivation has the most significant impact compared to gender, learning style, and learning independence.
Developing Ethnomathematics-Based Worksheets for Junior High School: A Research and Development Approach Anggun Badu Kusuma; Anton Jaelani; Arifin Suryo Nugroho
EduMa: Mathematics education learning and teaching Vol. 14 No. 1 (2025)
Publisher : Jurusan Tadris Matematika UIN Siber Syekh Nurjati Cirebon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24235/eduma.v14i1.18820

Abstract

Worksheets are frequently utilized as educational tools to assist teachers in learning. Integrating ethnomathematics into lessons enhances the significance of mathematics education. This study aims to develop ethnomathematics-based worksheets for junior high school students. The research employs a research and development methodology, following the stages of defining, designing, and developing as outlined by Thiagarajan. The participants include material experts, media experts, teachers, and junior high school students. The findings indicate that the worksheets are valid and suitable for further research. Feedback from teachers and students suggests that the worksheets are practical and effective. Observations from limited trials show that students and teachers are enthusiastic about learning.