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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 483 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.

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