Griya Journal of Mathematics Education and Application

Perbandingan Metode Steffensen dan Metode Brent dalam Penyelesaian Masalah Break Even Point Menggunakan PHP

Adam Gyanendra Ali Baska — 2025-05-22

The nonlinear mathematical model of the Break Even Point (BEP) problem is difficult to solve analytically to obtain an exact solution; therefore, numerical methods can serve as an alternative approach to address this issue. Based on this, the present study aims to develop a PHP program for solving the BEP problem and to compare Steffensen’s and Brent’s methods in terms of error and number of iterations. This research used the experimental method, whose implementation procedures include preparation, PHP program development, program testing, program revision, analysis, and conclusion. The PHP-based program developed in this study can serve as an alternative tool for solving BEP problems and is accessible to both practitioners and academics via the following link: https://lpptp.fkip.unram.ac.id/smhs/e1r021001/index.php. In solving the BEP problem, the error of Steffensen’s method was 17,3 x 10^-8, while the error of Brent’s method was 6,4 x 10^-8, therefore the error produced by the Brent’s method is smaller than that of the Steffensen’s method because 6,4 x 10^-8< 17,3 x 10^-8. Additionally, the number of iterations required by Steffensen’s method was 109, whereas the number of iterations of Brent’s method was 56, therefore, the number of iterations of Brent’s method is fewer than that of Steffensen’s method because 56 < 109. Consequently, it can be concluded that Brent’s method is more effective than Steffensen’s method in solving BEP problems in terms of both error and number of iterations.

Desain dan Implementasi Alat Peraga KOPSINU dalam Pembelajaran Make a Match: Dampaknya Terhadap Literasi Numerasi

Siti Nurjanah — 2025-05-26

This study aims to analyze the effectiveness of the KOPSINU teaching aid in the Make a Match learning model for improving students' numeracy literacy. The research is based on the low numeracy literacy of Indonesian students, which is caused by less interactive learning methods and minimal use of teaching aids. A quantitative approach with a quasi-experimental posttest-only control group design was used. The subjects consisted of 60 seventh-grade students at SMP Islam Sultan Agung 4 Semarang, divided into experimental and control groups. The research instrument was a numeracy literacy test covering aspects of mathematization, symbolization, reasoning, and argumentation. The t-test results showed a significant difference between the two groups, with the experimental group scoring higher on the posttest. These findings indicate that the use of KOPSINU significantly enhances students' numeracy literacy by creating a more interactive, engaging, and motivating learning environment that helps students actively understand mathematical concepts.

Analisis Strategi Pemasaran KFC dan McDonald’s pada Masa Boikot Menggunakan Teori Permainan: Studi Kasus Mahasiswa Universitas Mataram

Moch Rafi Zarkasy Ubaidillah — 2025-05-26

The impact of boycotts against global brands has directly influenced the marketing approaches of fast-food companies such as KFC and McDonald’s. This study aims to identify the most effective marketing strategies that both companies can adopt in response to these challenges. The research utilizes a two-player game theory model with a mixed strategy approach, analyzed through matrix algebra—specifically involving calculations of cofactors, adjoints, and determinants. Data were collected via questionnaires distributed to 100 students at the University of Mataram, focusing on four key strategic variables: communication, promotion, innovation, and service. The response matrices were simplified using row and column dominance elimination before further analysis. The results show that KFC’s optimal strategy consists of a combination of 60% innovation and 40% promotion. In contrast, McDonald’s performs best with a balanced strategy, applying 50% promotion and 50% innovation. A game value of –12 indicates that McDonald’s holds a relative advantage in minimizing potential losses during the boycott period. This study contributes valuable insights into quantitative marketing strategy analysis using a mathematical framework.

Pengaruh Pendekatan RME Berbasis Media Miniatur Rumah Terhadap Kemampuan Berpikir Kreatif Peserta Didik Kelas V SD

Frenika Supiyati — 2025-05-27

The problem of this study was the low creative thinking ability of fifth-grade students at SD Negeri 8 Metro Timur. This study was conducted to determine the influence of the Realistic Mathematics Education (RME) approach based on miniature house media on students’ mathematical creative thinking skills. The method used in this study was a quasi-experiment with a nonequivalent control group design. The population of this study was 58 students, and the sample, consisting of the same number of students, was determined using purposive sampling. The hypothesis test was conducted using a simple linear regression analysis, which resulted in an F_calculated value of 164.361 with n = 29. At a significance level of α = 0.05, the F_table value was 4.21. Since F_calculated> F_table (164.361 > 4.21), and the significance value was 0.000 < 0.05, it was concluded that there was a significant influence of the RME approach based on miniature house media on the mathematical creative thinking ability of fifth-grade students at SD Negeri 8 Metro Timur.

Analysis of Vark Learning Styles in Elementary School Students' Mathematical Concept Understanding

Vivi Rachmatul Hidayati — 2025-05-27

This study aims to identify elementary school students' understanding of mathematical concepts based on Neil D. Fleming's learning style theory (VARK), which consists of four main categories: Visual, Auditory, Read/Write, and Kinesthetic. A descriptive qualitative approach was used in this research, with the subjects being sixth-grade students of SDN 14 Cakranegara. The research instruments included learning style questionnaires, mathematical concept comprehension tests, and interviews. Data analysis was conducted in three stages: data reduction, data presentation, and conclusion drawing. The results showed that the majority of students had a kinesthetic learning style, indicating a preference for learning through physical activities and hands-on practice. Students with a kinesthetic learning style demonstrated a better understanding of mathematical concepts when learning methods involved physical activities. Additionally, several students exhibited a combination of visual, auditory, and read/write learning styles, reflecting variations in how they understand and apply mathematical concepts. Based on these findings, the study recommends that teachers implement varied teaching methods tailored to students' learning styles to enhance their understanding of mathematical concepts.

Inovasi Pembelajaran Matematika: Pengaruh Project-Based Learning Terhadap Hasil Belajar Satuan Panjang

Hikmatul Husna — 2025-05-27

Abstract

This study aims to examine the extent to which the Project-based Learning (PjBL) model impacts mathematics learning outcomes on the topic of length units for third-grade students at SDN 2 Bendanpete. The research employs a quantitative experimental method through a Pre-Experimental Design approach, specifically using a One-Group Pretest-Posttest Design. The data analysis techniques include prerequisite tests through normality testing and hypothesis testing using the Paired Sample T-Test. Data were collected through multiple-choice tests administered before (pretest) and after (posttest) the implementation of the Project-based Learning (PjBL) model. Instrument validation results indicated that 15 items were valid, and reliability testing showed a high reliability score with Cronbach’s α = 0.860. Data analysis through the t-test, resulting in a value of (-19.0), demonstrated a significant improvement in student learning outcomes, with the average posttest score (81.1) considerably higher than the average pretest score (51.4). These findings suggest that the application of the PjBL model effectively enhances student achievement in the topic of length measurement. It is expected that the outcomes of this research will provide new insights into the use of innovative instructional models to improve student learning achievement.

Keywords: Project-based Learning; Learning Outcomes; Mathematics

Systematic Literature Review: Faktor Internal yang Memengaruhi Literasi Matematika Siswa di Indonesia

Sasa Apriliska — 2025-05-27

Penelitian ini bertujuan untuk mengidentifikasi dan menganalisis faktor-faktor internal yang memengaruhi literasi matematika siswa di Indonesia melalui pendekatan Systematic Literature Review (SLR). Literasi matematika menjadi kompetensi penting dalam menghadapi tantangan abad ke-21, namun berbagai hasil studi menunjukkan bahwa capaian siswa Indonesia dalam literasi matematika masih tergolong rendah, sebagaimana tercermin dalam hasil asesmen nasional dan studi internasional seperti PISA. Dalam kajian ini, peneliti menelaah 20 artikel ilmiah yang diterbitkan antara tahun 2020 hingga 2025, yang diperoleh melalui pencarian sistematis pada basis data Google Scholar. Hasil analisis menunjukkan bahwa faktor internal yang dominan meliputi motivasi belajar, self-efficacy, minat terhadap matematika, gaya belajar, serta kemampuan metakognitif. Faktor-faktor tersebut berkontribusi secara signifikan terhadap pencapaian literasi matematika siswa. Temuan ini memberikan implikasi penting bagi pendidik dan pemangku kebijakan untuk merancang strategi pembelajaran yang responsif terhadap kondisi internal siswa guna meningkatkan literasi matematika secara lebih optimal.

Pengaruh Model Pembelajaran Kooperatif Tipe TGT berbantuan Quizizz Terhadap Kemampuan Literasi Matematis Siswa

Usman Hadi — 2025-05-27

This study aims to determine the effect of the cooperative learning model, specifically the Teams Games Tournaments (TGT) type assisted by Quizizz, on the mathematical literacy skills of 11th-grade students at MAN 1 Mataram in the academic year 2024/2025. This research is a quasi-experimental study using a posttest-only control group design. The population consisted of three 11th-grade science classes with a total of 118 students, and the sample included two classes: XI IPA 1 as the control group, which received direct instruction, and XI IPA 2 as the experimental group, which received the TGT model assisted by Quizizz. The sampling technique used was cluster random sampling. Data were collected through a mathematical literacy skills test administered after the intervention and were analyzed using normality and homogeneity tests. Based on the results, a non-parametric test chi-square test was employed along with the calculation of the effect size. The findings showed a difference in the average scores between the control group (49) and the experimental group (78), indicating the influence of the TGT model assisted by Quizizz on students' mathematical literacy. The effect size value of d = 0.465 falls within the medium category, suggesting a moderate impact. Therefore, the TGT cooperative learning model assisted by Quizizz contributes positively to enhancing students' mathematical literacy, particularly in function-related topics such as trigonometry, logarithms, and algebra. Future studies are recommended to further explore the implementation of this model across different educational levels, subject matter, and broader learning contexts.

Analisis Kesalahan Konseptual Mahasiswa Pendidikan Matematika Dalam Menyelesaikan Materi Fungsi Dalam Bilangan Real

Nazlah Indri Agistia Lubis — 2025-05-28

This study was conducted with the aim of describing the forms of conceptual errors made by Mathematics Education study program students in solving set and function problems in real numbers, and analyzing the causes of errors made. The research method used was qualitative with descriptive method. The research subjects consisted of five students who were randomly selected, with the condition that they had taken related courses but still showed errors in working on problems. Data were collected through a questionnaire test designed to reveal students' conceptual understanding and analyzed using Kastolan's error classification. The results showed that procedural error was the most dominant type of error, with a percentage of 60%. Conceptual errors and technical errors each had a percentage of 20%. This finding shows that students still have difficulty in following the steps of solving problems coherently, understanding basic concepts, and performing calculation operations carefully. Therefore, improvement is needed in learning strategies that emphasize concept understanding, procedural accuracy, and technical accuracy

Efektivitas Pembelajaran Berbasis Proyek Terhadap Hasil Belajar Materi Lingkaran Kelas VIII SMPN 1 Taliwang

Eny Cintawan — 2025-05-28

This study aims to determine the effectiveness of the project-based learning model on student learning outcomes in circle material in grade VIII of SMP Negeri 1 Taliwang for the 2024/2025 school year. This type of research is a quasi experimental design with the nonequivalent posttest only control group design. The population in this study is all grade VIII students at SMP Negeri 1 Taliwang and the sample used is class VIII.4 as an experimental class and VIII.6 as a control class with the number of students in each class of 32 students selected using the cluster random sampling technique. The experimental class was treated with the application of a project-based learning model and the control class applied a conventional learning model. The research data collection technique uses test and observation techniques. The test instrument is in the form of a student learning outcome test (posttest) on circle material and observation sheets. The data analysis technique used the t-test. The results showed that there was a difference in the average learning outcomes of students who applied the project-based learning model, which was 91.2 and students who applied the conventional learning model, which was 68.2 The results showed that there was a significant difference between the learning outcomes of students in the experimental class and the control class. The average score of the students in the experimental class was higher than in the control class. Thus, project-based learning has been proven to be effective in improving students' mathematics learning outcomes on circular materials.

Penentuan Premi Menggunakan Metode Limited Fluctuation Credibility Pada Produk Health Insurance Reasuransi Di Indonesia

Tiara Yulita — 2025-06-02

A reinsurance company is a company that provides reinsurance services against the risks faced by the insurance company (the insured). An insured is obliged to pay an amount of money in accordance with the agreement as a form of obligation from the insured for his participation in reinsurance which is called a premium. One method that can be used to determine future premiums based on past experience is limited fluctuation credibility which can predict the value of pure premiums in the future based on current data and insurance manual rates. Using the help of the limited fluctuation credibility method, this study will calculate the estimated value of claim frequency, claim size, aggregate losses and pure health insurance premiums using reinsurance claim experience data. The results of these calculations will be analyzed for differences in value with the value given by reinsurance companies in Indonesia. With this research it is hoped that it can become a standard reference for the credibility of reinsurance companies in determining premiums in the future.

Prediksi Retur Produk Farmasi dan Klasifikasi Risiko Menggunakan Model ARIMA

Felicia Eldora — 2025-06-02

Pharmaceutical product distribution faces specific challenges, particularly in managing product returns that can affect logistics efficiency and service quality. This study aims to predict the return quantity of pharmaceutical products using the ARIMA (Autoregressive Integrated Moving Average) model and to classify bad goods risk based on the prediction results. The data used consists of monthly return records from a Pharmaceutical Wholesaler (PBF) for a products—Paracetamol Syrup—during the period from January 2023 to December 2024. The research methodology includes data preprocessing, ARIMA model identification and estimation, residual diagnostics, forecasting, and risk classification. The results show that the ARIMA(1,1,1) model provides sufficiently accurate forecasts for Paracetamol Syrup, with predicted returns over the next six months falling into the medium-risk category. These findings offer valuable insights for pharmaceutical wholesalers to anticipate potential losses due to damaged or expired products and to design distribution strategies that are more responsive to return patterns.

Analisis Pemahaman Konsep Barisan Dan Deret Aritmatika Berdasarkan Gaya Belajar Ditinjau Dari Taksonomi SOLO

Cahya Yuliana Putri Cahya — 2025-06-02

Pemahaman terhadap konsep matematika berperan sebagai landasan esensial dalam proses pembelajaran, khususnya dalam topik barisan dan deret aritmetika yang menuntut penguasaan terhadap pola serta hubungan antar konsep. Penelitian ini bertujuan untuk mengeksplorasi tingkat penguasaan metode barisan dan deret aritmetika siswa berdasarkan preferensi gaya belajar mereka, ditinjau melalui kerangka taksonomi SOLO. Pendekatan studi yang dipakai adalah deskriptif kualitatif, dengan 6 peserta didik kelas 8 dari SMP Negeri 2 Gambiran yang dipilih mewakili tiga tipe gaya belajar: visual, auditori, dan kinestetik. Instrumen yang digunakan mencakup angket identifikasi gaya belajar, tes matematika, lembar observasi, serta panduan wawancara. Temuan penelitian mengungkapkan adanya perbedaan tingkat pemahaman konsep barisan dan deret aritmetika pada siswa, sesuai dengan karakteristik gaya belajar masing-masing, yang diklasifikasikan ke dalam 5 jenjang taksonomi SOLO: prastruktural, unistruktural, multistruktural, relasional, dan extended abstract. Hasil ini menunjukkan bahwa penguasaan materi barisan dan deret aritmetika dapat ditingkatkan secara signifikan dengan megimplementasikan strategi pembelajaran yang selaras dengan gaya belajar individual siswa, sebagaimana dikaji melalui pendekatan taksonomi SOLO

Penerapan Model Pembelajaran Gallery Walk Berbantuan Media Visual Untuk Meningkatkan Literasi Numerasi

Nishbah Fadhelina — 2025-06-02

Penelitian ini bertujuan untuk mengetahui apakah terdapat peningkatan literasi numerasi siswa setelah diterapkan model pembelajaran gallery walk berbantuan media visual. Penelitian ini menggunakan pendekatan kuantitatif dengan desain penelitian pre-experimental designs berupa the one-grup pretest-posttest design. Populasi dalam penelitian ini yaitu seluruh siswa kelas VII SMP Negeri 12 Langsa tahun ajaran 2023/2024 yang terdiri dari 2 kelas dengan jumlah masing-masing adalah 23 siswa. Teknik pengambilan sampel yang digunakan adalah simple random sampling, dan sampelnya adalah siswa kelas VII-2. Teknik pengumpulan data pada penelitian ini berupa tes yang berbentuk soal uraian. Berdasarkan hasil penelitian pada uji paired sample t-test diperoleh df = 22 dengan nilai t_tabel = 2,0739 dan t_hitung = 26,993 maka diperoleh hasil t_hitung > t_tabel = 26,993 > 2,0739 dengan taraf signifikansi α = 0,05 sehingga H₀ ditolak dan H_a diterima. Berdasarkan hasil penelitian tersebut, dapat disimpulkan terdapat peningkatan kemampuan literasi numerasi siswa kelas VII-2 SMP Negeri 12 Langsa setelah diterapkan model pembelajaran gallery walk berbantuan media visual. Peneliti mengharapkan penelitian ini dapat dijadikan sebagai bahan pertimbangan bagi guru dalam menggunakan model pembelajaran gallery walk berbantuan media visual untuk meningkatkan literasi numerasi siswa.

Soal Matematika Berbasis Higher Order Thinking Skills (HOTS) : Studi Pengembangan Dengan Fokus Pada Permasalahan Sampah

Maratul Hamidah — 2025-06-02

This research develops mathematics questions based on Higher Order Thinking Skills (HOTS) specifically designed to enhance students' higher-order thinking abilities through the context of waste problems. The purpose of this research is to develop HOTS-based mathematics questions within the context of waste issues. This study employs the Research and Development method using the ADDIE model (Analyze, Design, Development, Implementation, Evaluation). The development stage involves nine validators, consisting of subject matter experts, question experts, and media experts. The implementation stage involves 38 students divided into two groups. Validity, reliability, distinguishing power, and difficulty level of the mathematics questions are tested by having students work on the developed HOTS questions. The assessment of the practicality of the mathematics questions based on HOTS is conducted through student response questionnaires. The validation results from the nine validators indicate criteria of "Very Worthy to Use." The content validity tests are considered valid and reliable, resulting in difficulty levels and distinction powers that meet the criteria. The practicality trial of the mathematics questions based on HOTS with the context of waste issues received "very strong" criteria among the students. Based on these results, it can be concluded that the HOTS-based mathematics questions with the context of the waste problem as many as 20 questions are valid, practical, and suitable for use, because they have met the five requirements or characteristics of good questions, namely validity, reliability, objectivity, practicability and economy.

Implementasi Media Pembelajaran Audiovisual Melalui Aplikasi Canva Pada Materi Bangun Ruang Pada Jenjang SMP

Sevi Nur Ekasari — 2025-06-03

Penelitian ini dilakukan untuk memberikan motivasi dan meningkatkan pemahaman pembelajaran dengan penggunaan media ajar audiovisual yang dirancang melalui aplikasi Canva untuk materi bangun ruang. Peneliti ini mengimplementasikan media ajar audiovisual melalui Canva pada kelas VII diharapkan para siswa mendapatkan pembelajaran yang aktif, kreatif, dan menyenangkan. Metodologi yang digunakan adalah deskriptif kualitatif dengan subjek kelas VII SMPN 1 Tegalsari sebanyak 32 siswa. Pengambilan data dilakukan melalui berbagai metode dengan angket, tes pemahaman konsep meliputi pretest dan posttest , wawancara, dan dokumentasi. Hasil penelitian menunjukkan minat tinggi dalam pembelajaran dengan bantuan media audiovisual melalui aplikasi Canva. Hal tersebut dapat dilihat dari hasil angket respon siswa serta hasil tes belajar siswa melalui pretest dan posttest. Angket siswa menunjukkan hasil dalam kategori tinggi dapat dikatakan siswa dapat meningkatkan motivasi, hasil belajar siswa juga terlihat adanya peningkatan melalui pretest dan posttest . Penelitian ini menyimpulkan bahwa terdapat peningkatan motivasi belajar siswa dan pemahaman siswa melalui penerapan media pembelajaran interaktif berbentuk audiovisual melalui aplikasi Canva.

Kata kunci: Media Pembelajaran, Audiovisual, Canva, Bangun Ruang.

Meningkatkan Hasil Belajar Siswa Melalui Model Problem Based Learning (PBL) pada Kelas X.8 SMAN 2 Mataram

Siti Aminatin Ayunah Batin — 2025-06-04

Efforts to improve student learning outcomes are one of the main goals in the education process, especially in mathematics subjects which are often considered challenging by most students. This study aims to improve student learning outcomes by implementing the Problem Based Learning (PBL) learning model. This study is a type of classroom action research and uses descriptive analysis. The subjects of the study were 40 students of class X-8 SMAN 2 Mataram in the 2024/2025 academic year. The research instrument used in this study was a test of student learning achievement using formative assessment. After the analysis, it was found that in cycle I the average score of students' mathematics learning outcomes was 76.18 with a classical completeness criterion of 67.50%. While in cycle II the average score of students' mathematics learning outcomes was 89.74 with a classical completeness criterion of 85.00%. Based on the results of this study, it shows that the application of the PBL learning model can improve mathematics learning achievement in the material on probability (distribution of probability) of class X-8 SMAN 2 Mataram.