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All Journal Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika
Ja'faruddin Ja'faruddin
State University of Makassar
Mathematics

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Geometry And Algebra In Traditional Sabu Ei Ledo Ikat Weaving Motifs Ja'faruddin Ja'faruddin; Alimuddin Tampa; St. Hasna Nurfitriani; Sry Lobo
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Exploring Mathematics through Education, Modeling, Finance, and Cultural Perspe
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i2.8959

Abstract

Penelitian ini mengkaji struktur geometri dan aljabar yang terkandung dalam kain tenun tradisional Ei Ledo milik klan Hubi Iki di Pulau Sabu, Nusa Tenggara Timur, melalui perspektif Ethnomathematics. Kajian mengenai tenun tradisional selama ini umumnya lebih berfokus pada aspek simbolik budaya dan nilai estetika, sementara analisis terhadap rasionalitas matematis dan struktur komputasional yang mendasari praktik menenun masih relatif terbatas. Penelitian ini menggunakan pendekatan etnografi kualitatif yang dipadukan dengan analisis geometri, pemodelan aljabar, dan interpretasi grup simetri untuk mengidentifikasi pola-pola matematis pada motif dan proses produksi tenun. Hasil penelitian menunjukkan adanya penerapan algoritma tradisional “Mane” dengan rasio presisi satu kaki terhadap empat urat benang dengan total 144 urat benang, serta penggunaan logika Boolean dalam proses pewarnaan. Secara matematis, motif zig-zag dimodelkan sebagai fungsi periodik linear yang menyerupai gelombang segitiga, sedangkan motif lengkung “Hebe” menunjukkan karakteristik kurva polinomial berderajat tinggi. Selain itu, analisis struktur aljabar memperlihatkan bahwa motif mikro mengikuti grup simetri C2v yang menghasilkan efisiensi kognitif penenun sebesar sekitar 75% dalam proses produksi. Temuan ini membuktikan adanya penalaran matematis tingkat tinggi, komputasi mental iteratif, dan optimasi spasial dalam praktik tenun tradisional masyarakat Sabu meskipun tanpa penggunaan alat ukur modern. Penelitian ini berkontribusi terhadap pengembangan teori etnomatematika, pembelajaran matematika berbasis budaya, serta pendekatan interdisipliner yang menghubungkan pengetahuan lokal dengan pemodelan matematika kontemporer.
The The Effect of The Problem Based Learning Model Integrated with Culturally Responsive Teaching on The Numeracy Skills and Mathematical Dispositions Ja'faruddin Ja'faruddin; Resky Fadila Amin; Awi Dassa
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 4 (2025): Volume 8 Nomor 4 Tahun 2025
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i4.7182

Abstract

This study analyzes the effectiveness of implementing Culturally Responsive Teaching (CRT) within a Problem Based Learning (PBL) framework in mathematics instruction at SMP Negeri 2 Takalar and examines its impact on students’ numeracy skills and mathematical dispositions. This research employed a pre-experimental one-group pretest–posttest design involving 28 eighth-grade students, using numeracy tests, classroom observations, student response questionnaires, and mathematical disposition scales as instruments. The findings show that CRT was implemented effectively through the integration of local cultural contexts, inclusive interactions, and active student participation. Students’ numeracy skills improved significantly, with posttest scores surpassing the Minimum Mastery Criteria (KKM) and N-Gain values falling within the medium to high categories. Student activity levels were categorized as active, responses were positive, and mathematical dispositions increased to the medium category. These results indicate that the application of CRT contributes to enhancing students’ numeracy skills and supports mathematics learning that is more meaningful, contextual, and culturally grounded.
Structural Patterns Of Knot Semantic Logic In Mbojo Pantun Ja'faruddin Ja'faruddin; M. Fadly; Khaerati Khaerati
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Exploring Mathematics through Education, Modeling, Finance, and Cultural Perspe
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i2.9544

Abstract

Mbojo Pantun (Patu Mbojo) is an important form of indigenous oral literature that preserves cultural values, moral teachings, and local wisdom within the Bima community of West Nusa Tenggara, Indonesia. While previous studies have primarily examined Mbojo Pantun from linguistic, literary, and cultural perspectives, its underlying mathematical semantic organization remains largely unexplored. This study aims to investigate the structural patterns of Mbojo Pantun using the Knot Semantic Logic (KSL) framework. A qualitative descriptive approach was employed by selecting representative pantun through purposive sampling from documented literary sources and oral traditions. The analysis involved identifying semantic knot points, constructing knot point matrices, examining recursive semantic correspondences, and classifying structural configurations according to the principles of Knot Semantic Logic. The results identified four semantic structures: Ring Composition, Chiasm, Parallelism, and Asymmetrical Semantic Structure (ASS). Ring Composition exhibits concentric semantic symmetry centered on a core concept, Chiasm demonstrates mirrored semantic correspondence, and Parallelism preserves sequential semantic repetition. In contrast, Asymmetrical Semantic Structure represents a linear progression of ideas without recursive semantic correspondence. These findings demonstrate that the semantic organization of Mbojo Pantun can be formally represented through mathematical structures, revealing that indigenous oral literature embodies systematic semantic patterns beyond its aesthetic and cultural functions. Furthermore, this study extends the application of Knot Semantic Logic from formal statements and religious discourse to traditional oral literature and proposes Asymmetrical Semantic Structure (ASS) as a complementary structural category within the KSL framework. The proposed framework contributes to the development of mathematical linguistics, ethnomathematics, and computational approaches to semantic structure analysis.
Co-Authors Alimuddin Tampa Awi Dassa Khaerati Khaerati M. Fadly Resky Fadila Amin Sry Lobo St. Hasna Nurfitriani