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All Journal Online Learning in Educational Research Jurnal Cendekia Ilmiah
I Made Sugiarta
Universitas Pendidikan Ganesha, Indonesia
Humanities Education Social Sciences

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Eksplorasi Konsep Matematika pada Motif Kain Endek Bali melalui Pendekatan Etnomatematika Ni Putu Nitya Suadnyani; Made Juniantari; I Made Sugiarta; I Made Suarsana; Kadek Ayu Mutiara Pratiwi
J-CEKI : Jurnal Cendekia Ilmiah Vol. 5 No. 4: Juni 2026
Publisher : CV. ULIL ALBAB CORP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/j-ceki.v5i4.16462

Abstract

Penelitian ini bertujuan untuk mengintegrasikan nilai-nilai budaya lokal dalam pembelajaran matematika melalui pendekatan etnomatematika guna menjembatani kesenjangan antara matematika yang abstrak dengan konteks kehidupan nyata siswa. Penelitian ini menggunakan pendekatan kualitatif dengan metode eksploratif yang dilakukan melalui observasi langsung ke tempat pembuatan kain Endek Bali serta studi dokumentasi. Teknik analisis data dilakukan secara deskriptif kualitatif dengan beberapa tahap seperti pengumpulan data, reduksi data, penyajian data, dan penarikan kesimpulan. Validasi data dilakukan melalui triangulasi sumber. Hasil penelitian menunjukkan bahwa proses dan pola dalam pembuatan kain Endek Bali mengandung berbagai konsep matematika seperti transformasi geometri (translasi, refleksi, rotasi, dan dilatasi), simetri, statistika, logika matematika, program linear, matriks, pola bilangan, dan bangun datar. Selain itu, terdapat juga konsep pengulangan (repetisi) yang membentuk keteraturan dan keindahan visual pada kain. Hal ini menegaskan bahwa kain Endek Bali tidak hanya memiliki nilai estetika dan budaya, tetapi juga memiliki nilai edukatif yang dapat dimanfaatkan dalam pembelajaran matematika agar lebih kontekstual, bermakna, serta mendukung pelestarian budaya.
Bridging Verbal Geometry Problems and Formal Proofs: A GeoGebra-Supported Element–Relation Detection Framework I Putu Wisna Ariawan; I Made Ardana; I Made Sugiarta; Sariyasa Sariyasa; Raphita Yanisari Silalahi; Agus Adiarta; Dewa Gede Hendra Divayana
Online Learning In Educational Research (OLER) Vol. 6 No. 1 (2026): Online Learning in Educational Research
Publisher : CV FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/oler.v6i1.1225

Abstract

Geometry proof problems presented without diagrams require students to transform verbal information into accurate visual representations before constructing formal deductive arguments. However, instructional approaches that explicitly support this transition remain limited. This study investigated the effectiveness of a GeoGebra-supported Element–Relation Detection (ERD) framework in strengthening undergraduate students’ plane geometry proof performance. A quasi-experimental design was conducted with first-year mathematics education students assigned to four instructional conditions combining the ERD framework, conventional Polya-based instruction, and the presence or absence of GeoGebra support. Students’ proof performance was evaluated through validated tasks measuring diagram construction, conjecture generation, proof organization, and argument validity. The findings indicate that learning environments supported by GeoGebra consistently produced stronger proof performance than conventional instruction without dynamic visualization. The ERD framework further assisted students in identifying essential geometric elements and relationships before constructing formal proofs, resulting in more coherent reasoning and fewer errors during the proof process. These findings suggest that the primary contribution of GeoGebra lies in facilitating accurate mathematical representations, while the ERD framework provides a structured pedagogical approach for bridging verbal geometric information and formal deductive reasoning. This study offers a practical instructional framework for improving geometry proof learning in technology-enhanced mathematics education.
Co-Authors Agus Adiarta Dewa Gede Hendra Divayana I Made Ardana I Made Suarsana I Putu Wisna Ariawan Kadek Ayu Mutiara Pratiwi Made Juniantari Ni Putu Nitya Suadnyani Raphita Yanisari Silalahi Sariyasa Sariyasa