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Rahmat Perdana
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INDONESIA
Interval: Indonesian Journal of Mathematical Education
Published by Cahaya Ilmu Cendekia Publisher
ISSN : 30251389     EISSN : 30217857     DOI : 10.37251/ijome
Core Subject : Education,
Education Mathematics
Interval: Indonesian Journal of Mathematical Education is a peer-reviewed open-access journal established to disseminate state-of-the-art knowledge in mathematics education. Editors will review all submitted manuscripts and then evaluate them by at least two international reviewers through the double-blind review. This is to ensure the quality of the published manuscripts in the journal. Interval: Indonesian Journal of Mathematical Education Journal welcomes high-quality manuscripts resulting from a research project in the scope of mathematics education
Arjuna Subject : Umum - Umum
Articles 48 Documents
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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.
Unveiling the Complex Interplay Between Active Learning and Teacher Development: Insights from TIMSS 2022 in Georgia Chumburidze, Manana; Setiabudi, Edy; Vassiliadou, Maria; Hasanov, Rovsen; Duangpaserth, Khamphone
Interval: Indonesian Journal of Mathematical Education Vol. 1 No. 2 (2023): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v1i2.1363

Abstract

Purpose of the study: This study investigates the relationships between active learning, teacher professional development, and mathematics achievement, leveraging data from the 2022 Trends in International Mathematics and Science Study (TIMSS) in Georgia. By focusing on a national context that has undergone significant educational reforms, this research provides a unique perspective on the synergy between instructional strategies and student outcomes. Methodology: Using a quantitative approach, data were collected from 194 teachers engaged in professional development programs through a structured questionnaire. The analysis revealed robust psychometric properties for all constructs, with moderate relationships observed between active learning and mathematics achievement. Main Findings: However, the hypothesized direct paths among active learning, teacher professional development, and student achievement were statistically significant, suggesting a more intricate interplay of contextual and mediating factors. Novelty/Originality of this study: The novelty of this study lies in its exploration of these relationships within Georgia’s educational landscape, where the intersection of professional development and active learning remains underexplored in international assessments. The findings underscore the complexity of translating pedagogical strategies into measurable improvements in student performance. Implications include the need for policymakers and educators to adopt integrated, context-sensitive approaches that address underlying factors such as teacher efficacy, classroom climate, and instructional quality. Furthermore, the study calls for future research to investigate mediating variables and longitudinal effects to uncover the mechanisms driving mathematics achievement and to inform the design of more effective educational interventions.
Active Learning, Content Focus and Teacher Development Based on TIMSS 2022 in Georgia Chumburidze, Manana; Setiabudi, Edy; Vassiliadou, Maria; Hasanov, Rovsen; Duangpaserth, Khamphone
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.v2i2.1365

Abstract

Purpose of the study: This study investigates the relationships between active learning, teacher professional development, and content-specific pedagogical knowledge (Content Focus) in shaping mathematics achievement, utilizing data from the 2022 Trends in International Mathematics and Science Study (TIMSS) for Georgia. Methodology: Employing a quantitative research design, data were collected from 194 teachers through structured questionnaires to examine the interplay between these instructional strategies. Main Findings: The findings revealed acceptable psychometric properties for all constructs, with moderate but statistically significant relationships among the variables. Content Focus demonstrated a critical role in supporting mathematics outcomes, highlighting its potential as a mediating or moderating factor in instructional effectiveness. Despite the lack of significant path coefficients, the results underscore the complexity of educational processes, suggesting that contextual and mediating factors may influence the observed outcomes. Novelty/Originality of this study: This research contributes to the understanding of how pedagogical strategies and content knowledge intersect to improve mathematics achievement, offering actionable insights for policymakers and educators aiming to refine instructional practices and professional development programs.
Fourth Order Runge-Kutta and Gill Methods in Numerical Analysis of Predator-Prey Models Elpianora, Elpianora; Berou, Mark; Kong, Xianfen; Hun, Kanal; Azadegan, Elham
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.v2i2.1366

Abstract

Purpose of the study: This study aims to solve the numerical solution of the Predator-Prey model using the fourth-order Runge-Kutta and Gill methods, and to determine the profile of the Predator-Prey model solved numerically using the fourth-order Runge-Kutta and Gill methods. Methodology: Schematically, the steps taken in this study are starting from a literature review of the Predator-Prey Model, then solving the Predator-Prey Model using the Fourth-Order Runge-Kutta and Gill Methods, then the program creation step which is continued with program simulation, and finally analysis of the simulation results. Main Findings: From the results of the analysis of the difference in estimates of the fourth-order Runge-Kutta and Gill for predators and prey, there is no significant difference between the two methods in determining a better method in solving the Predator-Prey model. Because the Predator-Prey model cannot be solved analytically, the difference between the two methods cannot be seen from the analytical solution approach. The simulation results using the fourth-order Runge-Kutta and Gill methods show that the greater the value of b, the prey population increases with a value of α > β, and the smaller the values ​​of α and β given, the interaction process between the two populations will slow down and the prey population will increase. Novelty/Originality of this study: can provide information about the profile of the Predator-Prey model which is solved numerically using the fourth-order Runge-Kutta and Gill methods. The combination of these two methods to solve the Predator-Prey model is the novelty of this study
The Role of Teachers' Teaching Styles in Improving Mathematics Learning Motivation in Elementary Schools Pratiwi, Dian Anggi; Musonda, Allan; Zawita, Honer N.
Interval: Indonesian Journal of Mathematical Education Vol. 3 No. 1 (2025): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v3i1.1555

Abstract

Purpose of the study: The aim of the research is to determine the influence of teacher teaching style on students' motivation to learn mathematics. Methodology: This research was conducted at 166 Turucinnae State Elementary School, Bone Regency, with 60% of the 100 students as samples, while data collection used a questionnaire technique, namely a closed questionnaire. In this study, descriptive analysis and inferential analysis were used. Main Findings: The results of the data analysis show that the teacher's teaching style (X) has a significant influence on learning motivation (Y) which is indicated by the correlation coefficient value of obtained at a significance level of 5%. In this case, H1 is accepted and Ho is rejected. From these results, it is proven that there is an influence of the teacher's teaching style on the motivation to learn Mathematics of students at State Elementary School 166 Turucinnae, Bone Regency. Novelty/Originality of this study: The results of this study offer an innovative approach for teachers to adapt a more effective teaching style in encouraging students' interest and enthusiasm for learning mathematics in the primary education sector.
Dynamic Analysis and Stability Evaluation of a Discrete Mathematical Model for Flying Fox String Vibrations Matsubah, Aniq Nur; Al-Moders, Ali Hussein; Pantino, Francis; Anda, Asgar
Interval: Indonesian Journal of Mathematical Education Vol. 3 No. 1 (2025): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v3i1.1576

Abstract

Purpose of the study: This study aims to find the stability of changes in string deflection and the angle of string deflection when an object is launched along a flying fox. Methodology:This study uses a model developed by Kusumastuti et al. (2017). There are two models analyzed, namely the discrete model of the string deviation y(t) and the angle of the string deviation θ(t). The analysis steps include model reduction, model discretization, model linearization, fixed point search, and stability analysis. Stability is analyzed based on the eigenvalues ​​it has. Main Findings:Based on the research conducted, the following eigenvalues ​​were obtained: λ1 = -0.005h + (0.14565h)i, λ2 = -0.005h - (0.14565h)i, λ3 = -0.005h + (0.1331480769h)i, and λ4 = -0.005h - (0.1331480769h)i. The results of the study indicate that the system is in a stable condition (sink) because all eigenvalues ​​obtained are complex numbers with negative real parts. Thus, it can be concluded that the rope deflection, rope deflection velocity, rope deflection angle, and rope deflection angular velocity are in a stable condition. Novelty/Originality of this study: This study provides a new contribution to the understanding of discrete system dynamics in flying fox string vibrations, by showing that the stability of the system can be analyzed through the negative complex eigenvalues ​​generated from the model.
Modeling the Spruce Budworm Population: A Numerical Approach Using Heun and Runge-Kutta Methods Al-Moders, Ali Hussein; Pantino, Francis; Anda, Asgar
Interval: Indonesian Journal of Mathematical Education Vol. 3 No. 1 (2025): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v3i1.1583

Abstract

Purpose of the study: The purpose of this study is to determine the numerical solution of the spruce caterpillar model using the Heun method and the Third Order Runge-Kutta method, as well as to analyze the errors associated with both methods. Methodology: The type of research used in this study is library research. In this study, the data will be analyzed numerically from the data entry stage, data processing and results. The results obtained are from the Heun programming method and the Runge iteration method that have been determined previously. Kutta-Order Three will produce data with the smallest error in the number of. Main Findings:The results of the study showed the solution of the Pinus Lice model for the initial values ​​of B(t₀) = 2, S(t₀) = 10 cm, E(t₀) = 2 cm, at t = 5 years, with h = 0.05. Using the Heun method, it was obtained that B ≈ 3, S = 14.9058 cm, and E = 1.0047 cm, while the Third Order Runge-Kutta method produced B ≈ 3, S = 14.9057 cm, and E = 1.0046 cm. The error calculation showed that the B error was smaller with the Heun method, while the S and E errors were smaller with the Third Order Runge-Kutta method. Novelty/Originality of this study: The novelty of this study lies in the comparative analysis of the errors of the Heun Method and the Third Order Runge-Kutta Method in modeling the dynamics of spruce budworm populations with specific biological parameters.
Modification of the Fourth Order Runge Kutta Method Based on the Contra Harmonic Average Khudhur, Peshawa Mohammed; Maghdid, Dara
Interval: Indonesian Journal of Mathematical Education Vol. 3 No. 1 (2025): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v3i1.1588

Abstract

Purpose of the StudyThis study aims to modify the fourth-order Runge-Kutta method based on the contra harmonic mean. The research discusses the theoretical modification of the fourth-order Runge-Kutta method. MethodologyThe research was conducted using a literature study method. The study begins by introducing the general form of the Runge-Kutta method up to the nth order. This general form is then specialized to the fourth order. Additionally, the concept of the contra harmonic mean is introduced. After obtaining the general form of the fourth-order Runge-Kutta method and the contra harmonic mean, these two general forms are modified to derive a new formula. Main FindingsBased on the results, the modified fourth-order Runge-Kutta method has the following equation form:yi+1 = yi + (h/4) * [(k1^2 + k2^2) / (k1 + k2) + 2 * (k2^2 + k3^2) / (k2 + k3) + (k3^2 + k4^2) / (k3 + k4)],with an error of order O(h^5). Numerical simulations demonstrate that the modified method provides better results compared to the original fourth-order Runge-Kutta method. Novelty/Originality of this StudyThe numerical simulations using the RKKCM method show improved accuracy compared to the unmodified fourth-order Runge-Kutta method, highlighting the innovation and contribution of this study.
Exploration Ethnomathematics in Traditional Games of Mancala in Africa and Congklak in Indonesia Suharti, Rita; Bhatt, Krishna Prashad; Tolulope, Owolabi Yemi; Sambo, Yahya A
Interval: Indonesian Journal of Mathematical Education Vol. 3 No. 1 (2025): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v3i1.1594

Abstract

Purpose of the study: Study this aiming for explore draft ethnomathematics in game traditional Mancala in Africa and congklak in Indonesia use understand relatedness between culture and mathematics in context game. Methodology: With use approach qualitative ethnography, research this collect data through observation participatory, interview in-depth, and documentation to Mancala players in Ghana and congklak in Sumatra, as well as educators at school basis. Research results show that second game this involving draft mathematics like pattern numbers, distribution strategy, operations count, and thinking logical and probable. Main Findings: Experienced players show natural mathematical thinking through efficient strategies. While Mancala remains popular in Ghana, congklak is declining in Indonesia. Observations indicate traditional games have strong potential in culture-based math education. Thus, preservation and innovation are needed to integrate them contextually into learning. Novelty/Originality of this study: The novelty of this research lies in the exploration of the concept of ethnomathematics in the games Mancala in Africa and congklak in Indonesia through a qualitative ethnographic approach, which has not been studied in depth.

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