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Rangkiang Mathematics Journal
Published by Universitas Negeri Padang
ISSN : 27160726     EISSN : 27160734     DOI : https://doi.org/10.24036/rmj.v1i1
Core Subject : Education,
Mathematics Other
Rangkiang Mathematics Journal (RMJ) is a prestigious vision journal which focuses on publishing research, and advance literature study in mathematics and mathematics education. The scope of this journal includes: mathematics teacher profesionalisme, Realistic Mathematics Education, Design/Development Research in Mathematics Education, High Order Thinking Skills in Mathematics, STEM (Science Technology Engineering Mathematics) Education, Classroom Action Research, Technology in Mathematics Learning, Etnomatematics, Lesson Study for Learning Community, Assessment in mathematics learning, Psychological Theories in Mathematics Education, Mathematical Physics, Mathematical Analysis, Mathematical Biology, Mathematical Industry and Finance, Stochastic, Modeling and Simulations, Operational Research, Algebra, Modern Graph Theory together with Applications to Other Fields of Mathematics, Computer Science, Statistics, and Combinatorics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 62 Documents
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Analysis of Nonlinear Oscillation Models with External Forcing Using the Multiple Scales Method Safira, Ayuni Kemala; Sa’adah, Aminatus; Sulvianuri, Rani; Agnesia, Yoli
Rangkiang Mathematics Journal Vol. 5 No. 1 (2026): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/rmj.v5i1.138

Abstract

Nonlinear effects accompanied by external forces can cause the behaviour of the system to become more complex and difficult to explain using linear analysis. Therefore, analytical methods are needed to obtain approximate solutions. This paper presents an analysis of approximate solutions to nonlinear oscillation models subject to periodic external forces. The analysis was conducted using the Multiple Scales Method, a perturbation technique for obtaining asymptotic solutions to nonlinear differential equations. This approach is carried out by introducing several time scales and developing solutions as series in ε. The differential equations that model the system are analysed to orders.  and to obtain approximate solutions that describe the oscillation dynamics of the system. The analysis was performed under two main conditions: when the external force frequency approached the system's natural frequency (main resonance) and when the two were not close. In the non-resonance condition, several special cases were also examined: non-resonant, superharmonic resonance, subharmonic resonance, and low excitation frequency. The results show that first-order asymptotic solutions agree well with numerical solutions. The system response is influenced by parameters such as the amplitude and frequency of the external force, as well as the damping parameter. These findings support further research on more complex nonlinear systems and have practical applications in the design of vibration absorbers and rotating mechanical components to control resonance and improve system stability.
Evaluation of Mathematics History Learning: Improving Students' Journal Writing and Presentation Skills for Publication Raveenthiran, Vivekanantharasa; Hafizatunnisa, Hafizatunnisa
Rangkiang Mathematics Journal Vol. 5 No. 1 (2026): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/rmj.v5i1.140

Abstract

The History of Mathematics Learning course is often taught theoretically and descriptively, thus not fully encouraging students to develop applicable academic skills, particularly in scientific writing and publication. In fact, scientific journal publication is an important indicator in strengthening students' academic literacy. This study aims to evaluate the effectiveness of a project-based learning program for scientific journal writing and presentation in improving students' academic competencies. The method used is a qualitative approach with a program evaluation design based on the CIPP (Context, Input, Process, and Product) model. The study subjects comprised 57 students in the Mathematics Education Study Program who were taking the History of Mathematics Learning course. The instruments used consisted of interview guidelines, observation sheets, and documentation of student articles. Data analysis was conducted qualitatively through thematic analysis and document analysis techniques. The results show that this program is relevant to students' academic needs, supported by good resource readiness, and implemented systematically through a cycle of presentations and revisions that build a scientific culture. The scientific articles produced by students showed a significant quality improvement, with the majority successfully submitted to SINTA-indexed national journals. These findings suggest that integrating scientific journal writing into mathematics history courses not only enhances students’ critical thinking and academic literacy but also helps prepare future educators for scholarly publication, highlighting broader implications for mathematics education.

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