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All Journal Pentagon: Jurnal Matematika dan Ilmu Pengetahuan Alam Aljabar: Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Katharina Stefania Ade Jaro
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Education Mathematics

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Matematika Diskrit Teori Graf Pada LRT dalam Mengatasi Kemacetan : Studi Literatur Katharina Stefania Ade Jaro; Khopipah Khopipah; Napis Napis
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 3 (2025): September : Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i3.726

Abstract

Traffic congestion in Jakarta has become a serious problem, affecting various aspects of life, such as time efficiency, environmental quality, and economic productivity. As one solution to overcome this problem, the Jakarta government is developing a mass public transportation system, including the Light Rail Transit (LRT). The LRT is expected to reduce congestion by providing a more efficient and environmentally friendly transportation alternative. In the process of planning and optimizing the LRT system, discrete mathematics, particularly graph theory, plays a very important role. Graph theory is used to model the LRT station network and track, with vertices representing stations and edges representing connecting lines between stations. With this model, various analyses can be performed to optimize the LRT line, such as finding the shortest path between two stations or evaluating the connectivity between existing stations. The use of graph theory allows the identification of more efficient routes, resulting in faster travel and reduced passenger waiting times. In addition, graph theory also plays a role in optimizing the LRT route by minimizing the number of transfers between stations or avoiding passenger congestion at certain stations. With proper route and network optimization, the LRT can make a significant contribution to reducing traffic congestion in Jakarta. Furthermore, the development of an efficient public transportation system also supports improved air quality and reduces reliance on private vehicles. Overall, the application of graph theory in LRT system planning is a strategic step towards creating more efficient and sustainable transportation in large cities like Jakarta. Beyond route optimization, graph theory is also very useful in analyzing route capacity and passenger distribution along the LRT system.
Pengembangan Media Belajar Pembagian Melalui Papan Pintar Fun Math untuk Meningkatkan Kemampuan Pemahaman Konsep Matematis Siswa SDN Pekayon 16 Pagi Katharina Stefania Ade Jaro; Yuniarti Yuningsih; Aura Anastria Putri; Jessica Laura Septiana Hutagalung; Tiara Dwitarakanita
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 2 No. 2 (2026): Mei : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v2i2.999

Abstract

This research aims to develop an interactive learning medium that can enhance students' conceptual understanding of mathematics, specifically in division, through the use of the Fun Math Smart Board. The method used is Research and Development (R&D) which includes the stages of needs analysis, design, development, and product evaluation. The data collection techniques were conducted through pretest, posttest, observation, and interviews with the research subjects being elementary school students selected purposively. The results of the study show that the use of the interactive learning medium Fun Math Smart Board significantly improved students' understanding of division concepts by 87%. This medium facilitates students' comprehension through visualization and interaction. Additionally, its use increases students' interest and participation in the learning process. This study concludes that the Fun Math Smart Board is an effective learning medium for strengthening students' mathematical conceptual understanding, particularly in division. These findings are expected to serve as a reference for teachers in developing innovative and interactive learning media.
Co-Authors Aura Anastria Putri Jessica Laura Septiana Hutagalung Khopipah Khopipah Napis Napis Tiara Dwitarakanita Yuniarti Yuningsih