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M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika
Published by Universitas Wiralodra
ISSN : 25025872     EISSN : 26223627     DOI : -
Core Subject : Education,
Education Mathematics
Mathline is published by Mathematics Education Department of Wiralodra University. Mathline publishes the research issues on mathematics, mathematics education, and could be experiment, research and development, or classroom action research. This Journal are bi-annual publication, on February and August.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 497 Documents
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Development of Learning Media Based on Using The Predict-Observe-Explain Model to Enhance Students' Mathematical Understanding Skills Nenden Suryati; Irena Puji Luritawaty; Tina Sri Sumartini
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1119

Abstract

Learning in the subject of Three Variable Linear Equation Systems (SPLTV) still tends to focus on solution procedures, so that students' conceptual understanding has not developed optimally. This study developed a Google Sites-based learning medium integrated with the Predict-Observe-Explain (POE) model and examined its validity, practicality, and indications of effectiveness. The research used a Research and Development approach with ADDIE stages involving 40 tenth-grade high school students. Data were obtained through mathematical comprehension tests, expert validation sheets, and student response questionnaires, and analyzed descriptively using achievement percentages and N-Gain calculations. The validation results showed that the media was in the high validity category with a material expert assessment percentage of 90.3% and a media expert percentage of 84.7%, while student responses were in the practical category with a percentage of 75.23%. The improvement in mathematical comprehension ability was indicated by an average N-Gain score of 0.55, which is in the moderate category. These findings show that web-based media combined with the POE stages helped students compare their initial assumptions with their observations and systematically construct explanations of concepts, thereby supporting the formation of more meaningful mathematical comprehension.
Optimization of Labor Allocation to Maximize Cracker Production During Ramadan Using a Linear Program Anita Putri Amelia; Ida Fitriana Ambarsari; Nur Hasanah
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1123

Abstract

The increase in demand for crackers during the Ramadan period requires optimal labor management to keep production efficient. This research aims to determine the optimal number of workers to maximize cracker production. The method used is linear programming with a simplex approach, with data obtained through interviews and processed using MATLAB. The model is formulated with a decision variable in the form of the number of workers at each stage of the production process. The purpose function is formulated to maximize total production by considering capacity constraints, operational time, and labor costs. The results of the study show that the optimal solution is obtained in . The maximum value of the objective function obtained is 80kg/day of production or equivalent to a 300% increase in cost efficiency per kg of Rp333.33. The allocation shows the most efficient distribution of labor in meeting resource limitations. Further research is recommended to consider dynamic demand factors and variations in production capacity.
Optimal Control Model for The Spread of Respiratory Infectious Diseases Through Preventive and Treatment Measures Boby Rinaldi; Toni Bakhtiar; Jaharuddin Jaharuddin
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1135

Abstract

Respiratory infectious diseases, including acute respiratory infections, pneumonia, MERS-CoV, and COVID-19, remain major global health concerns due to their high transmission rates and significant health and socioeconomic impacts. However, most existing models do not explicitly distinguish population groups based on behavioral factors such as mask usage nor integrate multiple interventions within a unified optimal control and cost-effectiveness framework. This study develops a modified seven-compartment epidemiological model that differentiates susceptible and infected individuals based on mask usage and incorporates four control variables: mask usage, vaccination, quarantine, and treatment. The optimal control problem is formulated using the Pontryagin Maximum Principle and solved numerically using the fourth-order Runge-Kutta method combined with the Forward-Backward Sweep Method. The results indicate that treatment is the most effective single intervention in rapidly suppressing infection, while the combination of all control measures provides the fastest overall reduction in transmission. In terms of cost-effectiveness, the four-control combination yields the lowest Average Cost-Effectiveness Ratio (ACER), indicating the highest efficiency, whereas the combination of mask usage, quarantine, and treatment produces a negative Incremental Cost-Effectiveness Ratio (ICER), implying greater health benefits at a lower additional cost compared to alternative strategies. These findings emphasize the importance of distinguishing between effectiveness and cost-efficiency in determining optimal intervention strategies.
Needs Analysis for Maze Game Learning Media to Support Grade 1 Students’ Understanding of Number Concepts Hety Nurendang; Mardiyana Mardiyana; Supianto Supianto
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1136

Abstract

This study aims to analyze the initial needs in the development of Maze Game learning media as a means of improving understanding of the concept of integers in grade 1 elementary school students. The background of this research departs from the problem of students' low understanding of integers due to the use of conventional learning methods and the lack of interactive media that is in accordance with the characteristics of early childhood. This study uses a qualitative descriptive approach with a need analysis method as the initial stage of media development. Data was collected through observation, 2 teacher interviews, and the distribution of questionnaires to 60 student grade 1 in Cluster 03 East Telukjambe District, Karawang Regency. The results of the study showed that learning integers is still centered on teachers with limited media use, students have difficulty recognizing symbols and number sequences, understanding place values, and connecting numbers with the number of objects. Teachers and students need learning media that is engaging, interactive, and easy to use. Maze Game is considered a relevant alternative media because it is able to combine elements of games, challenges, and meaningful learning according to the child's cognitive development stage. Based on the results of this needs analysis, it can be concluded that the development of Maze Game media is very necessary to improve understanding of the concept of integers through a learning while playing approach. The results of this research are expected to be the basis for the product development stage in the next research to produce valid, practical, and effective learning media for elementary school students.
Optimal Control of The Spread of COVID-19 in Jakarta Rizki Chika Audita Ariyani; Widowati Widowati; Uvi Dwian Kencono; Lucky Cahya Wanditra; Dhimas Mahardika
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1145

Abstract

SARS-CoV-2 is the virus that causes COVID-19. In Indonesia, the highest number of COVID-19 cases is in the Jakarta province. It is necessary to restrict the virus's transmission. This research purposes to determine optimal control strategies (self-prevention, vaccination, and cure) of the SEAIQHRD model to reduce disease spread. Optimal control analysis is solved utilising Pontryagin's Minimum Principle. In this study, numerical simulations were conducted using COVID-19 outbreak data from Jakarta province from March 1 to August 31, 2022. Based on the analysis results, the basic reproduction number ℜ0 = 2,1316. Since ℜ0 > 1 at the EE point, the COVID-19 spread model is asymptotically stable, indicating that the virus persists in the population. The application of control steps combining all three strategies was shown to reduce the subpopulations of exposed, infected, hospitalized, and deceased individuals. Simultaneous optimal control is more effective at controlling the spread than using a control step. The simultaneous implementation of optimal controls has proven an effective strategy for reducing COVID-19 transmission in Jakarta.
The Effectiveness of Wayground Media in Improving Students' Mathematical Critical Thinking Skills Shafa Aulia Anwar; Desty Haswati; Rika Sukmawati
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1146

Abstract

This study is designed to test the effectiveness of Wayground learning media in improving the mathematical critical thinking skills of grade X students of SMA Muhammadiyah 2 Tangerang on the material of the Three-Variable Linear Equation System. The method used was a one-group pretest-posttest design, and purposive sampling of 24 students was selected in class X6. The instrument is in the form of 4 valid description questions that measure the critical thinking aspect. Data were analyzed by Kolmogorov-Smirnov normality test, paired sample t-test, and N-Gain using SPSS 26. The findings showed that the average pretest score of 37.2 (SD = 6.7) increased to 51.9 (SD = 5.1). The Kolmogorov–Smirnov normality test yielded a value of Sig. = 0.1 (> 0.05), so that the data was declared to be normally distributed; The paired sample t-test showed t = –11.5 (Sig. = 0.0 < 0.05) which means there was a significant improvement. The homogeneity test was not applied because the analysis involved only one group (pretest–posttest) without a comparison between groups that required a variance homogeneity test. An average N-Gain of 0.5 (medium category) indicates that Wayground is quite effective, but has not yet reached the high effectiveness category; This means that a significant increase in scores occurs, but the impact is still at a moderate level and needs additional media support or strategies to further increase effectiveness.
Local Stability Analysis and Numerical Simulation of A Rabies Transmission Model with Vaccination and Culling Taufiqurrahman Insani; Budi Priyo Prawoto
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1148

Abstract

Rabies remains a serious zoonotic disease requiring effective control strategies in both human and dog populations. This study analyzes the local stability of an SVEIR–SVEIR rabies transmission model incorporating vaccination and culling interventions. The model is analyzed analytically and numerically using parameter values obtained from relevant literature. The study involves identifying equilibrium states, deriving the basic reproduction number through the Next Generation Matrix approach, and analyzing the eigenvalues of the Jacobian matrix. The analysis indicates that the disease-free equilibrium remains locally asymptotically stable for , whereas instability occurs when . Numerical simulations confirm that increasing vaccination and culling rates reduces the infected populations, with dog vaccination having a stronger effect than culling in suppressing rabies transmission. This study is limited to local stability analysis and may be extended through global stability and optimal control analysis in future research.

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