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ANALISIS KEMAMPUAN SISWA MENYELESAIKAN MASALAH MATEMATIS PADA KONSEP BARISAN GEOMETRI Wangsa, Arma; Mashuri, Sufri; Marniati, Marniati; Marillah, Dima; Rosti, Rosti
Jurnal Penalaran dan Riset Matematika Vol. 4 No. 1 (2025): April 2025
Publisher : Almeera Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62388/prisma.v4i1.533

Abstract

Indonesian students' performance still tends to be low in solving mathematical problems. In order to explore this issue, further studies are needed to determine the ability of students to solve mathematical problems in various mathematical materials. Therefore, this study aims to describe students' mathematical problem solving ability on geometric sequence material. Descriptive qualitative method was used to describe three research subjects (students of SMAN 6 Bombana) who each represented high, medium, and low ability levels. Tests and interviews were given to collect data which were then analyzed to find out how students' work and errors in solving mathematical problems. The results showed that based on Polya's problem solving indicators, subjects with high and medium ability could solve the problem well, although subjects with medium ability needed two attempts (changing the solution plan) to get the correct answer. Meanwhile, subjects in the low category could not solve the mathematical problems presented in three attempts. In addition, two student errors were found in the solution process, namely: 1) incorrectly using the concept; and 2) incorrectly determining the ratio of the sequence. This study also found a positive participation of adversity quotient as a good mentality for students in solving mathematical problems.
Eksplorasi Etnomatematika Konsep Transformasi Geometri pada Ragam Hias Mekongga Motif Tabere Hidayati, Ully; Haidar, Irajuana; Marillah, Dima
JagoMIPA: Jurnal Pendidikan Matematika dan IPA Vol. 5 No. 1 (2025): JagoMIPA: Jurnal Pendidikan Matematika dan IPA
Publisher : Yayasan Pendidikan Bima Berilmu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53299/jagomipa.v5i1.1467

Abstract

Penelitian ini mengkaji unsur etnomatematika dalam ragam hias Mekongga motif tabere pada rumah adat Tolaki Mekongga yang merupakan warisan budaya masyarakat di Kabupaten Kolaka, Sulawesi Tenggara. Fokus penelitian adalah mengidentifikasi dan menganalisis konsep transformasi geometri yang terkandung dalam motif tradisional tersebut. Melalui pendekatan kualitatif dengan metode etnografi, peneliti melakukan observasi langsung, wawancara, dan dokumentasi visual terhadap replika rumah adat yang menampilkan motif tabere. Analisis data dilakukan dengan mengidentifikasi pola matematis, khususnya transformasi geometri yang meliputi refleksi, translasi, rotasi, dan dilatasi. Hasil penelitian menunjukkan bahwa motif tabere memiliki struktur matematis kompleks yang mengikuti kaidah transformasi geometri. Refleksi simetris ditemukan pada susunan motif vertikal, translasi pada pengulangan pola horizontal, rotasi pada elemen dekoratif pusat, dan dilatasi pada perbedaan ukuran motif. Temuan ini membuktikan adanya keterkaitan antara budaya Mekongga dengan konsep matematika formal, yang dapat dimanfaatkan sebagai konteks pembelajaran matematika berbasis budaya lokal. Implementasi hasil penelitian ini dalam pembelajaran matematika di sekolah berpotensi meningkatkan pemahaman siswa tentang konsep transformasi geometri sekaligus memperkuat identitas budaya lokal. Penelitian ini berkontribusi pada pengembangan etnomatematika sebagai bidang kajian yang menghubungkan matematika dengan konteks sosial-budaya masyarakat Indonesia.
EXPLORATION OF MATHEMATICAL CONCEPTS IN THE LOCAL WISDOM OF THE MEKONGGA PEOPLE Hidayati, Ully; Chairuddin, Chairuddin; Marillah, Dima
JME (Journal of Mathematics Education) Vol 10, No 2 (2025): JME (Jul - Dec)
Publisher : Universitas Sembilanbelas November Kolaka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31327/jme.v10i2.2520

Abstract

This study explores the mathematical concepts embedded in the cultural practices and local wisdom of the Mekongga people in Kolaka and East Kolaka Regencies, Southeast Sulawesi, Indonesia. Guided by an ethnomathematical perspective, the research aims to identify and describe how mathematical reasoning manifests through traditional architecture, art, rituals, and social systems. A qualitative approach with an ethnographic design was employed, involving purposive interviews with cultural informants such as the Deputy King of Mekongga, traditional artists, and Tolea (customary leaders). Data were collected through observation, interviews, documentation, and literature review, then analyzed using the Miles and Huberman interactive model consisting of data reduction, display, and conclusion drawing. The findings reveal that Mekongga culture embodies diverse mathematical ideas: set theory in cultural classification and royal genealogies; geometry and proportion in traditional houses; transformational geometry in woven fabrics and decorative motifs; plane geometry and ratio in the kalo sara symbol; social arithmetic in mahar (dowry) traditions; and alternative numeral systems in historical records. These results confirm that mathematical thought is inherently present within local wisdom and daily life. Theoretically, this study strengthens D’Ambrosio’s framework of ethnomathematics by demonstrating how indigenous practices represent mathematical reasoning. Pedagogically, it highlights the potential of Mekongga cultural elements as contextual and meaningful learning resources, bridging abstract mathematical concepts with cultural understanding in mathematics education.