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All Journal Interval: Indonesian Journal of Mathematical Education
Bulayi, Makungu
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Education Mathematics

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Realistic Mathematics Education: Unlocking Problem-Solving Potential in Students Miharja, Marenda Atika; Bulayi, Makungu; Triet, Le Viet Minh
Interval: Indonesian Journal of Mathematical Education Vol. 2 No. 1 (2024): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v2i1.1344

Abstract

Purpose of the study: The purpose of this study was to explore the role of Realistic Mathematics Education (RME) in improving students' mathematical problem-solving skills and learning strategies in the classroom. This study also analyzed the effectiveness of the RME approach and students' and teachers' perceptions of the approach. Methodology: This study used a mixed method with a quasi-experimental design (pretest-posttest control group) and a case study. Data were collected using problem-solving tests, observation sheets, and interviews. The research instruments included context-based test questions, observation guides, and interview guides. Data analysis was carried out using statistical tests using SPSS and thematic analysis for qualitative data. Main Findings: The main results of this study indicate that the Realistic Mathematics Education (RME) approach significantly improved students' mathematical problem-solving skills compared to the conventional method. The mean posttest scores of students in the RME group were higher, with consistent improvement. Observations showed more active student engagement, use of visual aids, and contextual relevance in learning. Interviews revealed positive perceptions of teachers and students towards the effectiveness of the RME approach. Novelty/Originality of this study: This study is interesting since it thoroughly examines how well Indonesian students, particularly those in junior high school, can solve mathematical problems through Realistic Mathematics Education (RME). In addition to examining students' opinions and teachers' learning practices, this study offers a fresh perspective on the RME approach's growth within the local educational setting.
Numerical Solution Analysis of Planetary Motion Models Using the Runge-Kutta Method Sulthon, Moh. Ba'its; Tu’sadiyah, Halimah; Bulayi, Makungu; Ibtisam, Talha; Jeewantha, Tharaka
Interval: Indonesian Journal of Mathematical Education Vol. 2 No. 1 (2024): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v2i1.1359

Abstract

Purpose of the study: This study aims to solve the planetary motion model numerically using the fourth-order Runge-Kutta method and analyze the planetary motion profile through the resulting numerical solutions. Methodology: The process is carried out by solving the planetary motion model numerically using the fourth-order Runge-Kutta method, creating a program from the numerical solution, and simulating the program with variations in the parameters of the stability of the trajectory and the distance of the planet to the sun. The simulation results are in the form of estimates of the speed of the planet's motion in the x and y directions against time, and the influence of these parameters on the trajectory and velocity graphs are analyzed. Main Findings: Simulations show that the trajectory stability parameter and the planet's distance to the sun affect the planet's trajectory and velocity graphs. On the trajectory graph, the planet's distance to the sun affects the aphelion, minor axis, and major axis values ​​of the orbit. The closer the planet is to the sun, the smaller its orbit, and vice versa. Novelty/Originality of this study: The novelty of this research lies in the application of the fourth-order Runge-Kutta method to solve the planetary motion model numerically, without requiring function derivatives. This research also connects the numerical results with Newton's law of gravity to understand the relationship between the distance of a planet to the sun and its orbital pattern.
Optimizing Traffic Light Timing Using Graph Theory: A Case Study at Urban Intersections Darmaji, Darmaji; Lubis, Utama Khalid; Fitriani, Riska; Bulayi, Makungu; Ade, Jimoh Azeez; Allahverdiev, Kenan; Sangsuwan, Amornrat
Interval: Indonesian Journal of Mathematical Education Vol. 2 No. 2 (2024): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v2i2.1361

Abstract

Purpose of the study: This study aims to optimize traffic light timing at the Usman Salengke-Poros Malino-K.H. Wahid Hasyim intersection using a graph theory approach. By modeling compatible traffic flows and calculating optimal signal durations, the study seeks to reduce congestion, minimize delays, and improve traffic efficiency. Methodology: This study utilized manual traffic volume data collection methods with direct field observations at the Usman Salengke-Poros Malino-K.H. Wahid Hasyim intersection. It employed Webster's method for optimal cycle calculation and MATLAB software for simulation. Tools included measuring tapes (Stanley), stopwatches (Casio), and data sheets for recording traffic flow. Surveys captured vehicle types and peak hour volumes. Main Findings: The optimal traffic light cycle duration was calculated as 95 seconds, reducing the original cycle time of 128 seconds. Peak traffic volume was observed at 1,383 pcu/hour (Usman Salengke North). The green light duration increased for Usman Salengke North to 39 seconds and for Poros Malino to 28 seconds. Total average vehicle waiting time decreased by 33.3%, with improved throughput by 20%. Novelty/Originality of this study: This study introduces a practical application of graph theory for optimizing traffic light timing, using compatible flow modeling to simplify intersection analysis. Unlike adaptive systems requiring expensive technology, this approach relies on manual traffic data, offering cost-effective solutions. It advances existing knowledge by providing a simplified, scalable method for reducing congestion and enhancing traffic efficiency in urban settings.
Co-Authors Ade, Jimoh Azeez Allahverdiev, Kenan Darmaji Darmaji Ibtisam, Talha Jeewantha, Tharaka Lubis, Utama Khalid Miharja, Marenda Atika Riska Fitriani Sangsuwan, Amornrat Sulthon, Moh. Ba'its Triet, Le Viet Minh Tu’sadiyah, Halimah