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All Journal Jurnal Pendidikan Matematika (Jupitek) Jurnal Magister Pendidikan Matematika (JUMADIKA) Science Map Journal Amalgamasi: Journal of Mathematics and Applications
Mahmud, Rauman
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Chemistry Computer Science & IT Education Mathematics Physics Social Sciences

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ETHNOMATHEMATICS: THE CONCEPT OF WEIGHTED GRAPHS IN THE TRADITIONAL GAME OF DAM Bustan, Ariestha Widyastuty; Mahmud, Rauman; Gafur, Anuwar Kadil A; Salmin, Munazat
Jurnal Magister Pendidikan Matematika (JUMADIKA) Vol 6 No 2 (2024): Jurnal Magister Pendidikan Matematika (JUMADIKA)
Publisher : Prodi Magister Pendidikan Matematika Pascasarjana Universitas Pattimura Ambon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jumadikavol6iss2year2024page89-95

Abstract

This research integrates graph theory concepts with the traditional game of DAM originating from North Maluku, particularly in Ternate City. An ethnomathematics approach is employed to bridge mathematics education with the preservation of local culture. The DAM game is represented as a weighted graph, where game stones serve as vertices, and the lines connecting the stones represent edges with weights corresponding to the number of steps between stones. Using ethnographic methods, the study observes the rules, strategies, and mathematical aspects of the DAM game. Findings reveal that strategies for capturing opponent stones can be represented as vertex deletion and edge addition in the graph. Additionally, the shortest path with minimum weight in the weighted graph is used to determine optimal strategies for players to reach the opponent's first row. This research enriches mathematics education through cultural approaches while supporting the preservation of traditional games as local cultural heritage
BILANGAN TERHUBUNG PELANGI LOKASI PADA GRAF KEMUDI DAN GRAF JARING Mahmud, Rauman; Bustan, Ariestha Widyastuty
Science Map Journal Vol 7 No 1 (2025): Science Map Journal
Publisher : Jurusan Pendidikan MIPA FKIP Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jmsvol7issue1pp6-13

Abstract

Konsep bilangan terhubung pelangi lokasi pada graf merupakan salah satu inovasi dalam teori pewarnaan graf yang menggabungkan konsep pewarnaan titik pelangi dan dimensi partisi pada graf. Konsep ini bertujuan untuk menentukan bilangan bulat positif terkecil sehingga terdapat pewarnaan- pelangi lokasi pada graf yang memungkinkan setiap titik memiliki kode pelangi yang unik. Dalam penelitian ini, kami mengkaji bilangan terhubung pelangi lokasi pada graf kemudi dan graf jaring. Hasil dari kedua graf menunjukkan bahwa jumlah titik pemotong berbanding lurus dengan bilangan terhubung pelangi lokasi pada graf kemudi dan graf jarring.
ANALISIS KESULITAN BELAJAR SISWA DALAM MENYELESAIKAN SOAL LUAS PERMUKAAN DAN VOLUME KUBUS Mahmud, Rauman
Jurnal Pendidikan Matematika (JUPITEK) Vol 2 No 1 (2019): Jurnal Pendidikan Matematika (JUPITEK)
Publisher : Program Studi Pendidikan Matematika FKIP Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (441.128 KB) | DOI: 10.30598/jupitekvol2iss1pp17-22

Abstract

This research is a descriptive qualitative study that aims to determine students' learning difficulties in solving surface area of the cube and the volume of cubes problems. The population in this research is as many as 84 students in the second grade of SMP 1 Morotai State Junior High School, spread over 3 classes. The sample in this study was student II, amounting to 24 students. Based on the results of the study, it shows that in question number 1 there are 7 students or 30.44% who experience conceptual difficulties, there are 4 students or 21.74% who experience fact difficulties, there are 6 students or 26.08% who experience difficulties in the rules, there are 5 students or 2.74% who experience difficulty skills, while in question number 2 there were 14 students or 60.87% who had difficulty with the concept, there were 6 students or 26.08% who had difficulty in fact, there were 1 student or 4.35% who had difficulty in the rules, and there were 2 students or 8 , 69% who experience difficulty skills, then in question number 3 there were 18 students or 78.26% who experienced difficulty in the concept, there were 2 students or 8.69% who experienced difficulties in fact, there were 2 students or 8.69% who had difficulty in the rules, there were 1 student or 4, 35% experienced difficulty skills, and in question number 4, there are 11 students or 47.83% who experience concept difficulties, there are 7 students or 30.44% who experience fact difficulties, there are 3 students or 4.35% who have difficulty in the rules, there are 2 students or 8 , 69% experienced difficulty skills. The conclusion that can be taken is that most students still have difficulty in solving problems surface area of the cube and the volume of cubes.
ANALISIS BILANGAN TERHUBUNG PELANGI PADA GRAF PAN Mahmud, Rauman
Amalgamasi: Journal of Mathematics and Applications Vol. 4 No. 1 (2025): Amalgamasi: Journal of Mathematics and Applications
Publisher : Universitas Pasifik Morotai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55098/amalgamasi.v4.i1.pp50-55

Abstract

This study discusses the rainbow connection number of pan graphs. The concept of rainbow connection is one of the important topics in graph theory related to edge coloring, where a path connecting any pair of vertices must consist of edges with distinct colors. Determining the rainbow connection number is relevant in the fields of network optimization, communication security, and the design of efficient transportation routes. In this research, a structural analysis approach of pan graphs is employed to determine the lower and upper bounds, as well as to obtain the exact value of the rainbow connection number. The results reveal a specific connectivity pattern in pan graphs that affects the minimum number of colors required
Co-Authors Bustan, Ariestha Widyastuty Gafur, Anuwar Kadil A Salmin, Munazat