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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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Multidimensional Poverty Clustering using K-Means Algorithm with Dimensionaly Reduction by Principal Component Analysis Salma, Admi; Zilrahmi, Zilrahmi
Rangkiang Mathematics Journal Vol. 4 No. 2 (2025): 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.v4i2.101

Abstract

The level of Multidimensional poverty in each province in Indonesia varies, similar policies is ineffective to reduce the poverty. Several poverty indicators also influence other factors. General policies established to overcome poverty have proven ineffective, making it urgent to identify the needs of each province in overcoming this condition. Grouping provinces based on similar multidimensional poverty which use cluster analysis, will help address this situation. The aim of this study is to group provinces based on multidimensional poverty indicators using the k-means clustering method. Principal Component Analysis (PCA) was also used to reduce variables and multicollinearity. The clustering results showed seven clusters. The highest multidimensional poverty was found in cluster 2, which consisted of one province, namely Papua Pegunungan. This province shows deficiencies in education, health, and living standards compared to other clusters. Meanwhile, the lowest multidimensional poverty was found in cluster 7. There are three provinces in this cluster, namely Bali, Jakarta, and DIY Jogjakarta. These provinces experience minimal multidimensional poverty which is able to provide a better quality of life. The policies and development strategies in these provinces could serve as role models to develop other provinces based on their specific deficiencies and needs.   Each cluster is well separated, as Davies Bouldin Index (DB) is lover, at 0.4.
Do Prestigious Schools Still Exist in Padang? An Exploratory Study on State Junior High School Admission 2025 in Padang Vionanda, Dodi; Wood, Raihan Attaya; Susrifalah, Amelia
Rangkiang Mathematics Journal Vol. 4 No. 2 (2025): 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.v4i2.106

Abstract

In this study, we perform an exploratory study of New Student Admission datasets for public Junior High School in Padang in 2025. We utilized tables, barplots, and boxplots to present information contained in datasets and we carried out cluster analysis using HDBSCAN algorithm. For this study we made use of admitted students’ datasets for each admission pathway of all state Junior High Schools in Padang in 2025. We carried out this study to investigate the emergence of prestigious schools among public Junior High School in Padang amid the implementation on zoning system. Our study reveals the presence of group of prestigious schools along with group of schools that admitted students mostly live nearby the schools. Hence, it is recommended for Padang Municipal government to improve the quality of schools that are not considered as prestigious schools since there are many schools that admitted students mostly live nearby the school.
Exploring Students’ Mathematical Representation through the Lens of APOS Theory of APOS Theory: An Exploratory Study Asra, Aqilul; Boriboon, Gumpanat
Rangkiang Mathematics Journal Vol. 4 No. 2 (2025): 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.v4i2.102

Abstract

Mathematical representation ability is one of the key competencies that reflects the depth of students’ conceptual understanding in mathematics learning. However, various studies show that mathematics education students still face difficulties in using and connecting multiple forms of representation, leading to limited conceptual understanding. This study aims to analyse students’ mathematical representation abilities using the APOS (Action, Process, Object, Schema) theoretical framework to reveal the underlying mental mechanisms. A qualitative descriptive method with data triangulation (test and interview) was employed. Six mathematics education students were selected and categorized into low (score < mean – SD), medium (mean – SD ≤ score < mean + SD), and high (score ≥ mean + SD) ability groups based on their mathematical representation test results. Data from tests and interviews were analysed through qualitative coding to ensure reliability and credibility. The findings indicate that low-ability students tended to remain at the Action stage, medium-ability students reached the Process stage, and high-ability students began to reach the Object and Schema stages. This study confirms that the quality of mathematical representation is closely related to students’ cognitive stages according to the APOS theory and introduces a novel link between representation indicators and APOS stages, offering valuable insights for mathematics education research.
The Influence of the Discovery Learning Model Assisted by Articulate Storyline on Students' Mathematical Resilience Garcia Arlis, Abel; Yerizon; Zaini, Muhammad
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.v5i1.70

Abstract

This research seeks to examine how the Discovery Learning approach, when supported by Articulate Storyline, impacts students' resilience in mathematics. In an educational landscape rapidly evolving due to technological progress, a key priority for educators is to leverage ICT advancements to elevate teaching and learning standards. This research was conducted at SMAN 2 Rambatan on grade XI students, focusing on mathematics subjects, especially inverse functions and function composition. A quasi-experimental model was applied, structured around a nonequivalent control group design that collected data solely through posttests. Respondents comprised 51 students, divided into experimental (26) and control (25) groups. Data were collected using a 30-item instrument designed to evaluate resilience in mathematics. The analysis revealed that the Discovery Learning model, when supported by Articulate Storyline, significantly enhanced students' mathematical resilience compared to traditional teaching methods (p = 0.031). This finding confirms the importance of developing mathematical resilience through interactive and technology-based learning approaches, which can help students face challenges in the mathematics learning process. This study advances the development of innovative instructional strategies to enhance student academic performance within the framework of 21st-century education.
Life Insurance Premium Calculation Using Markov Chain for Hypertension Patients in Indonesia Mutiya, Fenni Kurnia; Sepyanda, Marsika
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.v5i1.84

Abstract

Long-term care insurance provides death benefits if the insured dies and benefits for medical care costs during the coverage term. One of the products of this insurance is the Annuity Rider, as the Benefit can be modelled with a multi-state model. This paper discusses the calculation of annual premiums with Annuity riders as a Benefit product using a multi-state model for hypertension patients in Indonesia.  The premium calculation also utilised Markov Chain transition probabilities. The data used in the Report Survey Kesehatan Indonesia in 2023. The case study was conducted on a 40-year-old male in good health, with LTC insurance coverage for 5 years. It was known that the compensation amount for someone who died was IDR 200,000,000, and the interest rate was 7%. By calculating premiums using the multi-state model, the results yielded an annual premium of IDR 6,486,998. The result of this premium calculation is that the older someone is when they take out insurance, the greater the annual net premium they must pay.
Numerical Investigation for Deterministic Hepatitis B Model using Adomian Decomposition Method Nisardi, Muhammad Rifki; Siduppa, Muh. Nursyam; Putriani, A. Ika; Rahmi, Nur
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.v5i1.86

Abstract

Numerical solutions are an essential approach to addressing dynamical system problems involving differential equations. This study focuses on solving a modified SITR model for the spread of Hepatitis B using the Adomian Decomposition Method (ADM) to obtain numerical solutions. The advantage of ADM lies in its efficiency and reliability in solving nonlinear problems without requiring linearization. The obtained solutions are presented as polynomial approximations for each compartment in the model. MAPLE software is employed as the primary instrument to implement ADM and perform numerical simulations. The analysis includes examining the behaviour of susceptible, infected, treated, and recovered populations over time. The implications of this study suggest that ADM-based numerical approaches can be a valuable tool for policymakers and health practitioners in predicting disease dynamics and supporting the development of effective intervention strategies for Hepatitis B.
Model Analysis Queue Theory in Fast Food Restaurants in Padang City Vidayati, Vita; Wulandari, Ayu; Selvia, Ira; Ghina, Nadiyatul
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.v5i1.88

Abstract

Queuing systems represent service processes in which customers wait due to limited service resources. Analysing such systems is essential to ensure efficient service and minimise waiting time. This study aims to examine the queuing system applied at Hokben Sawahan Padang by analysing customer arrival and service rates to determine the appropriate model and system characteristics. A quantitative method was used, with primary data collected through direct observation of arrival and service times. The results indicate that the appropriate model is (M/M/1) with a FIFO discipline. The average number of customers waiting in line (Lq) is 0.52 customers per minute, while the average number in the system (L) is 1.03 customers per minute. The average time spent in the system (W) is 4.9 minutes, and the average waiting time before service (Wq) is 2.4 minutes. The server utilisation level is 50.62%, with an idle rate of 49.38%. These findings suggest that the queuing system is relatively efficient and can be categorised as quite ideal. However, further improvements are needed to increase server utilisation and service effectiveness. Enhancing service quality, cleanliness, comfort, and overall operational performance can improve customer satisfaction and business profitability. The study implies that queue performance indicators, such as waiting time and utilisation rate, can serve as important managerial tools for evaluating and optimising service operations.
Nonparametric Fourier Series Regression for Unemployment Analysis in Banten Province Barokah, Bunga Miftahul; Fitri, Fadhilah; Wirdiastuti, Chairina
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.v5i1.90

Abstract

The Open Unemployment Rate (OUR) is a vital indicator of regional economic performance, particularly in Banten Province, which faces disparities in education and poverty. This study models the unemployment rate using two predictors: average years of schooling and poverty level, through a nonparametric Fourier series regression for the 2017–2024 period. This method provides greater flexibility in capturing the nonlinear and fluctuating patterns often observed in socio-economic data. The analysis used secondary data from Statistics Indonesia (BPS), beginning with descriptive statistics and data visualization. Models were evaluated using Generalized Cross-Validation (GCV) and the coefficient of determination (R²). The optimal model was found at K = 3, with a GCV of 2.4057 and an R² of 0.5155. The model effectively captured the non-linear relationships between unemployment, education, and poverty. Although the R² value is moderate, this indicates that including additional explanatory variables could enhance the model’s performance. These findings support the use of Fourier series regression as an alternative approach for labor market analysis, especially when linear methods fall short and provide insights for developing more targeted employment policies.
Analysis of Students' Errors Based on Newman's Errors in Solving Mathematical Reasoning Problems Zulhafendi, Redy Williantama; Yerizon, Yerizon; Dwina, Fitrani; Sari, Shinta
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.v5i1.91

Abstract

Mathematical reasoning is one of the essential competencies that students must possess to face the challenges of 21st-century learning. However, many students still struggle to solve problems that assess their mathematical reasoning. This study aims to analyse the types of errors students make using Newman’s Error Analysis procedure. The research employed a descriptive qualitative method, with 37 twelfth-grade high school students selected through purposive sampling. Data were collected through a mathematical reasoning ability test and interviews. The quantitative data from the test were analysed descriptively to identify error patterns, while the qualitative data from interviews were analysed thematically through data reduction, data display, and conclusion drawing. Most students made errors in three main stages, namely understanding the problem concept, transforming verbal information into appropriate mathematical representations, and applying mathematical procedures or algorithms correctly. Furthermore, the analysis showed that conceptual misunderstanding was the most prevalent type of error, often leading to subsequent transformation and process-skill errors. These findings suggest that teachers need to design learning interventions that strengthen conceptual comprehension and develop students’ systematic problem-solving strategies.
The Impact of Math Walks on Enhancing Mathematical Fluency in Elementary Students Usluoğlu, Büşra; Toptaş, Veli
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.v5i1.130

Abstract

Mathematical fluency encompasses not only paper-and-pencil operations but also skills supported through games, activities, and real-life experiences. Math walks are experiential learning activities that enable students to explore mathematical concepts beyond the classroom by connecting movement, the environment, and problem-solving. This study aimed to examine the effects of math walk activities developed for fourth-grade primary school students on their mathematical fluency skills. A mixed-methods design was employed in the study. Quantitative data were obtained through a single-group pretest–posttest design administered to 20 students. In contrast, qualitative data were collected using semi-structured interviews to explore students’ views regarding the implementation process. The findings revealed a statistically significant improvement in students’ overall mathematical fluency scores following the math walk activities (p < .05), particularly in procedural, conceptual, and game-based fluency dimensions, whereas improvement in digital fluency remained limited. The results indicate that math walks provide an effective learning environment that supports the development of mathematical fluency by promoting active participation and real-life mathematical engagement. The study suggests integrating math walk activities into mathematics curricula and expanding activity-based approaches that foster mathematical fluency in elementary education.

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