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INDONESIA
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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Option Pricing Using The Partial Taylor Series Expansion Method: A Case Study of Blue-Chip Stocks on The Indonesia Stock Exchange Wijaya, Alfiano Akmal; Artiono, Rudianto
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i1.1094

Abstract

The Indonesian capital market is characterized by dynamic stock price volatility, which directly affects the value of derivative instruments, particularly stock options. Accurate option pricing is essential for supporting investment decision-making and risk management. The Black–Scholes model is a classical and widely used framework for option pricing; however, its assumption of constant volatility often fails to reflect actual market conditions. Therefore, this study aims to apply the Partial Taylor Series Expansion (PTSE) method as an alternative approximation approach and to evaluate its accuracy relative to the analytical Black–Scholes solution. This study adopts a quantitative approach using a blue-chip stock PT. XXXX listed on the Indonesia Stock Exchange during the period 2019–2024. Model parameters are determined based on historical stock price data, the risk-free interest rate, and historical volatility. European stock option prices are calculated using both the Black–Scholes model and the PTSE method and are compared using Mean Absolute Error (MAE) and Root Mean Square Error (RMSE). In addition, sensitivity analysis is conducted to examine the effects of volatility and time to maturity on option price differences. The results indicate that the PTSE method produces option price estimates with relatively small errors and a stable convergence pattern toward the Black–Scholes model, suggesting that PTSE is a practical and efficient approximation approach for pricing European stock options in the Indonesian capital market.
Design Research to Learn Mathematics: A Study on The Effect of Problem-Solving Ability on The Creative Attitude of Junior High School Students Nilam Sari; Saragih, Sahat; Napitupulu, E. Elvis
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i1.1101

Abstract

This study examines the background of problem-solving ability and creative attitudes among junior high school students, highlighting their importance in fostering innovation and critical thinking in mathematics education. The purpose of this study is to analyze the influence of problem-solving ability on students' creative attitudes. The classroom process is a learning process that develops local instructional theories for the material of systems of linear equations in two variables. The quantitative study aims to assess the influence of problem-solving ability on students' creative attitudes. This study involved 24 junior high school students in Medan as a sample. The instruments used were a validated problem-solving ability test and a validated creative attitude scale. The results showed that problem-solving ability has a significant positive effect on students' creative attitudes, with a regression coefficient of 0.951, indicating that greater problem-solving ability is associated with stronger creative attitudes. The coefficient of determination (R² = 0.597) indicates that 59.7% of the variation in students' creative attitudes is due to problem-solving ability. In contrast, friendship (40.3%) is due to other factors not examined in this study. These findings suggest that problem-solving ability is a key factor in developing creative attitudes. This study highlights the need to integrate problem-solving ability into the educational curriculum to foster students' creative attitudes. Future research should consider using a larger sample size.
Development of Student Worksheets (LKPD) on Integer Topics to Improve Seventh-Grade Students’ Mathematical Problem Solving Abilities at SMP Negeri 3 Halongonan Harahap, Nia Helmita; Lubis, Mara Samin
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i1.1105

Abstract

The development of appropriate learning materials is essential to support active learning and to enhance students’ understanding of mathematical concepts, particularly in problem-solving activities that require logical and systematic thinking. This study aimed to develop Student Worksheets (LKPD) on integer topics that meet the criteria of validity, practicality, and effectivity in improving seventh-grade Students’ Mathematical Problem-Solving Abilities at SMP Negeri 3 Halongonan. This research applied a Research and Development (R&D) method based on the 4D development model, which includes the stages of define, design, develop, and disseminate. The participants of this study were seventh-grade students at SMP Negeri 3 Halongonan. The instruments used in this study consisted of validation sheets assessed by media and subject-matter experts, student response questionnaires, and a test measuring mathematical problem-solving skills. The results indicated that the developed worksheets achieved a validity score of 87.27% from media experts, categorized as highly valid, and 75% from subject-matter experts, categorized as valid. The practicality test showed a percentage of 67.26%, indicating that the worksheets were practical and easy to implement in classroom learning activities. The effectiveness of the worksheets was indicated by an increase in students’ mathematical problem-solving skills, as reflected by an N-gain value of 0.55, classified as category. These findings suggest that the developed worksheets help students better understand integer concepts, increase learning engagement, and support the development of mathematical reasoning skills. Therefore, the developed LKPD is considered appropriate and practical to implement as a mathematics teaching medium for integer topics for seventh-grade students at SMP Negeri 3 Halongonan.
Integration of Malangan Mask Puppet Ethnomathematics in E-Comics to Improve Algebra Literacy Skills of VIII Grade Students on The Concept of Sets Erni Anggraini; Sri Harini; Marhayati Marhayati
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.v11i2.961

Abstract

The purpose of this study is to develop learning media in the form of an e-comic based on the ethnomathematics of the Malangan Masked Wayang to improve algebraic literacy, especially in the material of set theory. The main problem underlying this study is the low ability of students to abstract mathematical concepts from real contexts into algebraic symbols. Ethnomathematics in this study is through the classification of Malangan Masked Wayang characters based on mask colors, character traits, and clothing attributes. Explicitly, these cultural elements are constructed into set theory concepts, including universal sets, subsets, and set operations (intersections and unions). The research method used is R&D with the ADDIE model to describe the validity, effectiveness, and practicality of the development product. The effectiveness test procedure uses a Paired Sample t-test with a significance level of 5%. The results obtained on average on the e-comic validation score are 94% which means the data is very valid. In terms of practicality, the e-comic product based on the ethnomathematics of the Malangan Masked Wayang has an average of 93.3%, including the very practical category. Then the effectiveness value of e-comics was found to have a fairly large score on the N-gain value, namely 0.64. These results can be concluded that e-comics based on ethnomathematics of Malangan mask puppets have good validity, are very practical, and are quite effective in improving the algebraic literacy of MTs grade VIII students.
The Effectiveness of Microsite-Based Learning Media to Enhance Students’ Understanding of Matrix Concepts at Sekolah Indonesia Kuala Lumpur Fauzan Putra Afandi; Lisanul Uswah Sadieda; Dewi Mariani
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.v11i2.1032

Abstract

This study was motivated by the low level of students’ understanding of matrix concepts, which is largely caused by conventional teaching methods that lack interactivity and visual support. To address this issue, a microsite-based learning medium was developed to present matrix material in an interactive and visually supported manner. The study aimed to examine the effectiveness of using a microsite to improve the conceptual understanding of eleventh-grade students at the Indonesian School of Kuala Lumpur. A quasi-experimental method with a pretest–posttest control group design was employed involving 33 students, consisting of 20 students in the experimental group and 13 students in the control group. The experimental group received microsite-based instruction, while the control group was taught using conventional methods. The research instrument was an essay test developed based on Kilpatrick’s indicators of conceptual understanding.The results showed that the experimental group achieved a mean gain of 81.46, whereas the control group obtained a mean gain of 74. Students in the experimental group demonstrated consistently high performance across most conceptual understanding indicators, while the control group showed moderate understanding with weaknesses in higher-order indicators, particularly in applying concepts across multiple representations. The Mann–Whitney U test indicated a significance value of 0.001, which is lower than 0.05, with an effect size of 0.573 categorized as large.These findings confirm that microsite-based learning is more effective than conventional instruction in enhancing students’ conceptual understanding of matrix material.
Students' Strategies and Creativity in Solving Mathematical Literacy Problems Usman Mulbar; Ahmad Zaki; Mar Athul Wazithah T; Muhammad Farhan
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.v11i2.1044

Abstract

This study aims to describe students’ strategies and creativity in solving mathematical literacy problems. Mathematical literacy requires students not only to understand mathematical concepts but also to select appropriate problem-solving strategies and apply creative thinking in various contexts. Therefore, understanding how students use strategies and demonstrate creativity in solving mathematical literacy problems becomes important. The research employed a qualitative descriptive method involving junior high school students who were categorized into high, medium, and low ability levels based on the results of a mathematical literacy problem-solving test. The main instruments were the researchers themselves, while the supporting instruments included a mathematical literacy test, interview guidelines, and validation sheets. Data were collected through two stages of testing and two stages of interviews, and triangulation was employed to ensure data validity. In addition, triangulation across methods and time was employed to enhance the validity of the data. The results showed that students demonstrated different strategies and levels of creativity in solving problems. Students in the high-ability category were able to understand problems well, choose appropriate strategies, and exhibit all indicators of creativity—fluency, flexibility, and novelty. Medium-ability students showed fluency and novelty or flexibility and novelty, while low-ability students generally did not meet any creativity indicators due to difficulties in understanding the problems and selecting proper strategies.
Numerical Solution Analysis Using The Runge-Kutta-Fehlberg Method on A Model of The Spread of Smoking Behavior Yuliastuti Dwi Lestari; Sudi Mungkasi
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.v11i2.1050

Abstract

We consider a mathematical model of the spread of smoking behavior in the population. The model is solved using the Runge-Kutta-Fehlberg numerical method. As smoking is not healthy in general, we are interested in the case of smoker-free in the long term of time. The equilibrium of the smoker-free is recalled and used to match the numerical simulation for large time values. In addition, our contribution in this paper is to verify that the Runge-Kutta-Fehlberg numerical method is fifth order in convergence. Using error tabulation, we show that the numerical method is indeed of the fifth order.
Developing of Worksheets on Single and Group Data with A Basketball Context Meida Rosita; Kiki Nia Sania Effendi
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.v11i2.1058

Abstract

This study aims to develop worksheets in the context of basketball on single data and group data with valid and practical criteria, which have the potential to have a positive impact on mathematics learning. The research used a development studies type of design research approach, which included three stages, namely the introduction stage, the prototype stage, and the assessment stage. Formative evaluation was applied through self evaluation, expert review, one-to-one evaluation, small group trials, and field test. The research instruments included documentation, interviews, and practicality questionnaires that were analyzed. The research subjects were eighth-grade students at a junior high school in Karawang. The results showed that the developed worksheet met the criteria of validity, practicality, and effectiveness. Students showed high enthusiasm in participating in learning activities because the basketball context used made learning activities more meaningful, enjoyable, and easy to understand. Based on data analysis, the basketball-based worksheet was declared valid and practical for use in statistics learning in junior high schools. This product has the potential to improve the achievement of learning objectives related to data types in statistics.
Categorization of Grade 9 Students’ Achievement Based on School Examination Results and Qur’anic Achievement Using K-Means and K-Nearest Neighbors Diki Mulyana; Dadan Dasari; Nurjanah Nurjanah; Luthfiyati Nurafifah
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.v11i2.1088

Abstract

Current achievement assessment in Integrated Islamic Schools primarily emphasizes academic performance, with limited recognition of spiritual achievement, thereby constraining comprehensive student evaluation. Therefore, this study proposes a student achievement categorization framework that integrates School Examination Scores and Qur’anic Achievement using a combination of K-Means and K-Nearest Neighbor (kNN) algorithms. This research employed a quantitative approach, including educational data mining, to collect data from 324 ninth-grade students at SMPIT during the 2020–2025 academic years. Data were obtained from academic records and data extraction instruments. The K-Means algorithm in educational data mining served as the primary method for clustering students based on academic and spiritual characteristics, while the resulting clusters were used as target classes for the kNN classification algorithm. Model performance was evaluated using a confusion matrix based on accuracy, precision, and recall metrics. The findings demonstrate that K-Means successfully generated distinct achievement clusters reflecting the diversity of student performance, while the kNN model achieved high performance in consistently predicting the categories of Passed and Conditionally Passed. These results indicate that the integrated K-Means and kNN model is effective in establishing data-driven student achievement categories. From a broader perspective, this study contributes to helping Integrated Islamic Schools develop a student achievement evaluation model that encompasses both academic and spiritual dimensions.
Analysis of Students’ Interest in Learning Mathematics Based on Self-Efficacy Dina Adinda; Nursupiamin Nursupiamin; Riska Elfira
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.v11i2.1112

Abstract

Mathematics learning plays an important role in developing students’ logical, critical, analytical, and systematic thinking skills. However, low interest in learning mathematics remains a common challenge that affects students’ engagement and learning outcomes. One psychological factor that may influence students’ learning interest is self-efficacy. This study aimed to explore students’ interest in learning mathematics in relation to their levels of self-efficacy. A qualitative descriptive approach was employed, involving eleventh-grade students at MAN 2 Kota Palu. A self-efficacy questionnaire was administered as a preliminary screening tool to classify students into high and low self-efficacy groups, from which four participants were purposively selected for in-depth qualitative analysis. Data were collected through semi-structured interviews, classroom observations, and documentation of students’ assignments. The findings indicated that students with high self-efficacy demonstrated greater persistence, active participation, and willingness to engage in mathematical problem-solving activities. In contrast, students with low self-efficacy tended to exhibit hesitation, reduced participation, and avoidance of tasks perceived as difficult. These results suggest that students’ interest in learning mathematics is influenced not only by cognitive ability but also by their beliefs in their own capabilities. Therefore, fostering students’ self-efficacy is essential to enhance their engagement and interest in mathematics learning.

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