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Rekonstruksi Model Matematis Pada Ornamen Pagoda Tian Ti Menggunakan Lindenmayer System Alghar, Muhammad Zia; Fauzan, Hakmi Rais
Jurnal Multidisiplin West Science Vol 3 No 02 (2024): Jurnal Multidisiplin West Science
Publisher : Westscience Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58812/jmws.v3i02.976

Abstract

Ornamen merupakan hiasan memiliki nilai seni dan budaya yang tinggi. Salah satu ornamen yang memiliki nilai budaya yang tinggi dapat ditemukan pada bangunan berbudaya, seperti Pagoda Tian Ti. Penelitian ini berujuan untuk mengembangkan bentuk-bentuk ornamen yang ada pada Pagoda Tian Ti secara matematis. Metode yang digunakan dalam penelitian ini yaitu lindenmayer system. Data diperoleh berdasarkan observasi lapangan, wawancara, dan studi literatur. Hasil penelitian menunjukkan bahwa ornamen pada Pagoda Tian Ti dapat dikaji secara matematis dengan L-system. Rekonstruksi ornamen dengan l-system juga menghasilkan bentuk-bentuk ornamen yang baru. Rekonstruksi ini didasarkan pada perubahan rasio, perubahan bentuk dasar, dan perubahan sudut. Hasil rekonstruksi ini menjadi jembatan bagi penelitian lain  selanjutnya dalam merekonstruksi ornamen-ornamen berbudaya lainnya secara matematis.
Systematic literature review: Implementation of ethnomodelling in mathematics learning Alghar, Muhammad Zia; Radjak, Dwi Setiawati
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 12 No 1 (2024)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v12i1.17004

Abstract

There has been an increase in research on ethnomathematics in mathematics education, along with a rise in research on ethnomodelling. It triggers an increasing need and interest in how ethnomodelling is applied in mathematics learning. This study aims to review the literature on implementing ethnomodelling in mathematics learning. This research method is a systematic literature review with the PRISMA model. The research data are ethnomodelling-themed studies in mathematics learning published from 2019 to 2023 and obtained through the Google Scholar database. The articles obtained were 17 articles published in various countries. The results showed the implementation of ethnomodelling in mathematics learning, including different mathematical concepts, cultural objects, and ethnomodelling approaches. Also presented are contributions from various researchers and countries that have applied ethnomodelling in mathematics learning. The results of this study contribute to researchers, teachers, and practitioners in the form of a review of various ethnomodelling studies within the scope of mathematics concepts. So, they can be used as guidelines in developing culture-based mathematics learning strategies.
A STRATEGI MEMPREDIKSI TINGKAT KELULUSAN MAHASISWA UNIVERSITAS MUHAMMADIYAH PONOROGO DENGAN TEORI FUZZY TSUKAMOTO Kurniasih, Ranti; Awantagusnik, Annafi; Zia Alghar, Muhammad
MUST: Journal of Mathematics Education, Science and Technology Vol 9 No 1 (2024): JULY
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/must.v9i1.22830

Abstract

The purpose of this research is to create a mathematical model related to fuzzy logic to predict student graduation rates starting in 2024. This type of research is applied research. The method used is the tsukamoto method in fuzzy analysis and checking the accuracy of forecasting with MAPE. Data collection techniques are carried out by collecting primary data and secondary data. The primary data used is data on new student admissions, many graduates, and many graduates from Muhammadiyah Ponorogo University in 2021, 2022, and 2023. Secondary data is obtained from books, articles, and documents relevant to Tsukamoto fuzzy. The results of the Tsukamoto fuzzy analysis with MAPE testing show that the fuzzy model built is at a percentage of 5.3%. This means that the fuzzy system has excellent forecasting capabilities in predicting student graduation rates in 2021, 2022, and 2023 and can be used to predict many graduates in 2024.
Ethnomathematics: The exploration of fractal geometry in Tian Ti Pagoda using the Lindenmayer system Alghar, Muhammad Zia; Walidah, Natasya Ziana; Marhayati, Marhayati
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 5 No 1 (2023): Alifmatika - June
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2023.v5i1.57-69

Abstract

This study explores the concept of fractal geometry found in the Tian Ti Pagoda. Fractal geometry is a branch of mathematics describing the properties and shapes of various fractals. A qualitative method with an ethnographic approach is used in this study. Observation, field notes, interviews, documentation, and literature study obtained research data. The observation results were processed computationally using the Lindenmayer system method via the L-Studio application to view fractal shapes. The results show that the concept of fractal geometry is contained in the ornaments on the Tian Ti Pagoda. The length and angles of each part of the ornament influence the fractal shape of the Tian Ti Pagoda ornament. In addition, the length and angle modifications resulted in several variations of the Tian Ti Pagoda fractal. The findings from this study can be used as an alternative medium for learning mathematics lectures, especially in applied mathematics, dynamical systems, and computational geometry.
Analisis Butir Soal pada Olimpiade Matematika Tingkat Mahasiswa di STAIN Mandailing Natal Alghar, Muhammad Zia; Lubis, Rina Sari; Aslamiah; Lubis, Nisa Cahya Pertiwi
CONSISTAN (Jurnal Tadris Matematika) Vol 3 No 02 (2025): Consistan : Jurnal Tadris Matematika
Publisher : Program Studi Tadris Matematika Fakultas Tarbiyah Institut Agama Islam Al-Qolam Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35897/consistan.v3i02.2238

Abstract

This study aims to determine the quality of questions in the Mathematics Olympiad in the 2025 Geometric Competition at STAIN Mandailing Natal. The focus of the study was on ten multiple-choice questions used in the competition. This study used a quantitative approach with descriptive analysis. The research data came from the answer sheets of 64 participants who were students participating in the competition. The data were analyzed using classical statistics, including validity, reliability, difficulty level, discriminating power, and distractor effectiveness tests. The results of the analysis showed that 60% of the questions were in the valid category. The reliability test results showed that the questions had not reached the threshold set for the reliable category. The difficulty level results showed that 100% of the questions were in the difficult category, requiring high ability from participants. The discriminating power results showed that many questions were in the weak and moderate categories. Meanwhile, the distractor analysis results showed that 87.5% of the distractors functioned well. This study shows that the quality of the questions in the 2025 Geometric Competition still needs improvement. The questions need to be reviewed in order to assess the mathematical abilities of the participants more accurately.
Tren Penelitian Disertasi Pendidikan Matematika di Indonesia: Analisis Bibliometrik tahun 2019-2024 Alghar, Muhammad Zia; Farida, Nur; Hanik, Umi
Teorema: Teori dan Riset Matematika Vol 10, No 2 (2025): September
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v10i2.17547

Abstract

Kajian mengenai tren penelitian disertasi pendidikan matematika di Indonesia masih terbatas, padahal pemetaan arah penelitian penting untuk pengembangan riset yang lebih terstruktur. Penelitian ini bertujuan untuk menganalisis tren penelitian disertasi pendidikan matematika di Indonesia pada periode 2019–2024. Penelitian menggunakan pendekatan kuantitatif dengan analisis bibliometrik berbasis model PRISMA. Data diperoleh dari repositori Universitas Negeri Malang, Universitas Pendidikan Indonesia, Universitas Negeri Surabaya, dan Universitas Negeri Semarang, yang diseleksi berdasarkan kriteria inklusi dan eksklusi. Analisis dilakukan menggunakan Ms. Excel, Mendeley, dan VOS Viewer. Hasil menunjukkan bahwa jumlah disertasi mengalami fluktuasi selama periode 2019–2024. Partisipan penelitian didominasi oleh siswa dan mahasiswa, dengan jenis penelitian yang paling banyak digunakan adalah penelitian kualitatif. Topik penelitian yang paling sering dikaji meliputi pemecahan masalah, gender, proses berpikir, teori APOS, dan berpikir kritis. Temuan ini menunjukkan adanya kecenderungan fokus pada aspek kognitif dan representasi berpikir dalam pendidikan matematika serta memberikan arah pengembangan penelitian di masa mendatang.