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Sigma&Mu: Journal of Mathematics, Statistics and Data Science
ISSN : 29872030     EISSN : 29872049     DOI : https://doi.org/10.56566/sigmamu
Core Subject : Education,
Sigma&Mu: Journal of Mathematics, Statistics and Data Science is an international peer-reviewed journal that publishes original and high-quality research papers in all areas of mathematics, statistics, and data sciences. As an important academic exchange platform, scientists and researchers can know the most up-to-date academic trends and seek valuable primary sources for reference. The subject areas include, but are not limited to the following fields: Pure and Applied Mathematics, Mathematics Education, Optimizations, Pure and Applied Statistics, Statistics Education, Experimental Designs, Survey Methodology, Spatial Statistics, Multivariate Statistics, Time Series Analysis, Statistical Modeling, Bayesian Statistics, Climate Modeling, Environmental Statistics, Engineering Statistics, Statistics for Social Sciences, Medical Statistics, Chemometric, Bioinformatics, Big Data Analytics, Deep Learning, Sentiment Analysis, and Classification Modeling.
Articles 36 Documents
An Analysis Of Mathematical Literacy Skills In Solving Pisa Mathematics Problems Among Students Santiwidia, Arwini; Arjudin; Kurniawan, Eka; Prayitno, Sudi
Sigma&Mu: Journal of Mathematics Education, Mathematics, Statistics and Data Science Vol. 4 No. 1 (2026): March
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/sigmamu.v4i1.435

Abstract

This study aims to analyze mathematical literacy skills in solving PISA mathematics questions based on the level of mathematical literacy skills among students at SMPN 13 Mataram in the 2024/2025 academic year. This is a descriptive qualitative study involving 52 students from classes IX A and IX B, with 8 students selected as subjects. The research instruments used were a mathematics literacy test adapted from PISA and interview guidelines. Data were analyzed based on mathematics literacy process indicators (formulate, employ, interpret). The results showed that out of the 6 levels of mathematical literacy, no students reached levels 5 and 6. At level 1, students could formulate explicit information and solve problems using simple algorithms, at level 2, they could identify implicit information and select basic strategies to solve problems; at level 3, they could process complex explicit information containing distractors and develop sequential strategies for decision-making, while Level 4 can formulate explicit information in everyday contexts and apply strategies to complex concrete situations. Students at Levels 1-4 also have the ability to interpret and draw conclusions based on the context of the problem.
Operations Research Techniques for Cost Minimization in Transportation AKANNI, Saheed Busayo; Garba, M.K.; Abogunrin, O.O.; Noah, R.O.
Sigma&Mu: Journal of Mathematics Education, Mathematics, Statistics and Data Science Vol. 4 No. 1 (2026): March
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/sigmamu.v4i1.619

Abstract

Optimizing the distribution of goods from multiple suppliers to multiple customers is a key challenge in supply chain management. This study compares the suitability of three classical methods for solving a 10-supplier by 15-customer transportation problem. The data used for the study were extracted from the 2023 record of a fertilizer-producing company in Nigeria, which has 10 outlets and 15 major distributors. The results revealed that the North-West Corner Method, although simple to apply despite the fact that it is cost-inefficient. Though the Minimum Cost Method behaved better in terms of efficiency, resulting to its focus on selecting low-cost routes. However, Vogel’s Approximation Method improved the allocations by adding cost-penalty factors. This led to the lowest overall cost of the three methods. Findings from the study showed that Vogel’s Approximation Method is a practical and effective way to get close-to-best solutions in the transportation problem. Within the framework of the paper, operational guidelines regarding logistics management and cost management were provided. This provision indicates that the choice of method is significant in repetitive decision-making in supply chain systems. This study provided guidelines for logistics and cost management, because it stressed that choosing the right method is essential for making repeated decisions in supply chain systems. Hence, the study concluded that if minimizing the cost of transportation is desired Vogel’s Approximation Method is recommended for supply chain system.
On Instrumental Variable Regression Method for Estimating Econometric Model Perturbed with Endogenous Variable AKANNI, Saheed Busayo; Garba, Mohammed Kabir; Osobase, Angela Abidemi
Sigma&Mu: Journal of Mathematics Education, Mathematics, Statistics and Data Science Vol. 4 No. 1 (2026): March
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/sigmamu.v4i1.621

Abstract

Regression techniques are essential tools utilized to formulate, describe and evaluate econometric models. These techniques rely on some assumptions which, if one or more are violated the naive approach of estimating econometric models will be characterized with one problem or the other. Most often in real life situations, one or more of these assumptions cannot go unfulfilled while modelling econometric data. This study therefore, focuses on the consequences of violation of the assumption that error terms are linearly independent of explanatory variables in classical linear econometric model. For the Ordinary Least Squares (OLS) estimator to be sufficient, the expected value of the error term given the explanatory variable should be zero. And for OLS estimator to be consistent, the covariance between the error term and any of the explanatory variables should be zero. Endogeneity is one of the major challenges of econometric analyses. The effect of endogeneity is bias in estimates and therefore inducing the likelihood of committing the Types I and II errors more rapidly. To examine the behaviours of OLS estimators in the presence of endogeneity and compare its performances with Two-Stage Least Squares (2-SLS) as an alternative method of estimation, data were simulated in the environment of R statistical package in which endogeneity problem was infused into the data. It was discovered that relative to OLS, 2-SLS is consistent and less biased when modelling econometric data that are perturbed with endogeneity problem. Although, the 2-SLS might not be more efficient than the OLS under certain condition, but when there is problem of endogeneity in the model, the choice between OLS and 2-SLS depends on whether the Analyst is willing to trade-off efficiency for biasedness or vice versa in finite sample and asymptotically.
The Effect Of The Kahoot-Assisted Discovery Learning Model On The Mathematical Critical Thinking Ability Hatimah, Husnul; Syahrul Azmi; Eka Kurniawan
Sigma&Mu: Journal of Mathematics Education, Mathematics, Statistics and Data Science Vol. 4 No. 1 (2026): March
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/sigmamu.v4i1.652

Abstract

The purpose of this study is to ascertain how the Discovery Learning learning paradigm, with Kahoot's assistance, affects the mathematical critical thinking abilities of SMAN 1 Utan class X pupils throughout the 2024/2025 academic year. This type of research is a quasi-experimental with a Post-test Only Control Group Design, involving two classes, namely the experimental class (X-6) and the control class (X-5). While the control class employs a traditional learning model, the experimental class uses the Discovery Learning learning paradigm with Kahoot's help. Post-test questions on critical thinking abilities and observation sheets for learning implementation serve as the research tools. According to the findings, the experimental class's average post-test score was 78.27, which was higher than the control class's average score of 64.89. A statistically significant difference between the two classes was revealed by the Mann-Whitney U test. With an effectiveness of 78.93%, the effect size (Cohen's d) of 0.80407 suggests a moderate effect. The experimental class is primarily in the very high category on the interpretation and evaluation indicators, while the control class is primarily in the high category on the analysis indicator and low on the inference indicator, according to the distribution of critical thinking ability categories by indicator. These results indicate that the use of Kahoot-assisted Discovery Learning can influence students' critical thinking abilities overall.
Ethnomathematics in the Calculation of Sasak Traditional Heritage: Identification of the Concepts of KPK and FPB in the Aul and Radd Mechanism Miftahul Makwa; Salwatul Solehah; Eka Kurniawan; Muhammad Turmuzi
Sigma&Mu: Journal of Mathematics Education, Mathematics, Statistics and Data Science Vol. 4 No. 2 (2026): September
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/sigmamu.v4i2.798

Abstract

This study aims to identify and analyze the mathematical concepts contained in the Sasak traditional heritage distribution system in Central Lombok through an ethnomathematical approach. The research uses a descriptive qualitative approach with a focused ethnography. The data was collected through a semi-structured interview with H. Nurul Mustofa as a Religious Stakeholder and Traditional Stakeholder in Penujak Village, West Praya District, Central Lombok Regency on April 12, 2026, as well as a documentation study of faraid books used by the resource persons. The results of the study found seven mathematical concepts that were actually applied: (1) the local numeracy system (sekek, due, three, four, lime) that corresponds to the concept of formal numbers; (2) tiered counting operations (addition, subtraction, division); (3) the concept of fractions with the local terms half/half, three, and four; (4) a 2:1 ratio between male and female heirs; (5) Smallest Commonwealth Multiples (KPK) which are implicitly applied in the aul mechanism when the total share exceeds 100% of the property; (6) Largest Federal Factor (FPB) in the radd mechanism when there is a proportionate return of residual property; and (7) the concept of measurement with are, sack, and hand span units. The inheritance distribution procedure is carried out through six systematic stages. The relationship of formal mathematics to customary practice is analyzed from three dimensions: conceptual correspondence, difference in representation, and pedagogical implications. The findings prove that the KPK and FPB work synergistically in one system, and this mathematical knowledge has great potential to be used as a context for meaningful mathematics learning in accordance with the spirit of the Independent Curriculum.
Ethnomathematics In Peresean Tradition Rahmaniyah Rahmaniyah; Nafira Amelia; Desta Ahmad Saputra; Eka Kurniawan; Muhammad turmuzi
Sigma&Mu: Journal of Mathematics Education, Mathematics, Statistics and Data Science Vol. 4 No. 2 (2026): September
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/sigmamu.v4i2.804

Abstract

This study aims to identify and describe the manifestations of formal mathematical concepts contained in the Peresean tradition of the Sasak Tribe in Ende Traditional Village, Central Lombok. Peresean is a traditional martial art using a rattan stick (braid) and a leather shield (ende). This research includes qualitative research with an ethnographic approach. The data source was obtained through in-depth interviews with traditional leaders and participatory observations in the field. The results of the study show that there are mathematical concepts that are applied intuitively, including: (1) social arithmetic in the governance and distribution of spectator money in a fair manner both in formal competitions and the collective allocation of communal customary villages; (2) proportional linear function in the calculation of the logistical needs of the reserve forger; (3) traditional anthropometric proportions based on non-standard units (depa and jengkal) in determining the size of the braiding tool and the ergonomic ende for the fighter; and (4) the pattern of constant numbers over the duration of each round. This research is expected to contribute to the development of mathematics learning materials based on local culture (ethnomathematics).

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