Griya Journal of Mathematics Education and Application

Optimasi Alokasi Sumber Daya dan Mekanisasi Pada Budidaya Padi Menggunakan Mixed Integer Linear Programming

2026-10-05T08:04:17+01:00

Budidaya padi merupakan salah satu sektor pertanian yang memiliki peran penting dalam mendukung ketahanan pangan nasional. Namun, pengelolaan sumber daya pada budidaya padi masih sering dilakukan berdasarkan pengalaman petani sehingga berpotensi menyebabkan inefisiensi biaya produksi. Selain penggunaan input material dan tenaga kerja, perkembangan mekanisasi pertanian juga menimbulkan kebutuhan pengambilan keputusan terkait penggunaan teknologi pertanian yang optimal. Penelitian ini bertujuan untuk membangun model Mixed Integer Linear Programming (MILP) guna mengoptimalkan alokasi sumber daya dan mekanisasi pada budidaya padi. Model yang dibangun melibatkan variabel kontinu berupa alokasi input material, variabel integer berupa jumlah tenaga kerja, dan variabel biner berupa keputusan penggunaan mesin pertanian. Parameter penelitian meliputi luas lahan, produktivitas maksimum, harga jual gabah, biaya input material, biaya tenaga kerja, kebutuhan minimum tenaga kerja, dan biaya penggunaan mesin pertanian. Model optimasi diselesaikan menggunakan perangkat lunak Python. Hasil optimasi menunjukkan bahwa model menghasilkan solusi optimal dengan keuntungan maksimum sebesar Rp37.336.566,00. Model juga menunjukkan penggunaan mekanisasi pada tahap penanaman, penyiangan, dan pemanenan. Hasil penelitian menunjukkan bahwa pendekatan MILP mampu menghasilkan kombinasi penggunaan sumber daya dan mekanisasi yang lebih efisien pada budidaya padi.

Pengaruh Game Edukasi Wordwall dalam Pembelajaran Matematika terhadap Hasil Belajar Siswa SMPN 19 Mataram

2026-10-01T09:34:53+01:00

Rendahnya hasil belajar matematika siswa menjadi latar belakang penelitian ini. Proses pembelajaran yang masih didominasi metode ceramah dan latihan soal menyebabkan siswa cenderung pasif serta kurang antusias dalam mengikuti pembelajaran. Oleh karena itu, diperlukan penerapan model pembelajaran yang lebih interaktif dan menyenangkan, salah satunya melalui game edukasi berbasis Wordwall. Penelitian ini merupakan penelitian kuantitatif dengan metode quasi eksperimen yang bertujuan untuk mengetahui besarnya pengaruh penggunaan game edukasi berbasis Wordwall terhadap hasil belajar matematika siswa. Sampel penelitian ditentukan dengan menggunakan metode Cluster Random Sampling dan didapatkan kelas VIII C sebagai kelas eksperimen serta kelas VIII D sebagai kelas kontrol. Hasil penelitian menunjukkan adanya perbedaan aktivitas guru dan siswa pada kelas eksperimen yang mengindikasikan keterlibatan aktif siswa dalam proses pembelajaran. Selain itu, terdapat perbedaan hasil belajar antara siswa yang menggunakan game edukasi berbasis Wordwall dan siswa yang menggunakan pembelajaran langsung, yang ditunjukkan oleh persentase ketuntasan belajar sebesar 50% pada kelas eksperimen dan 25% pada kelas kontrol. Hasil uji t diperoleh yang menunjukkan bahwa hipotesis alternatif () diterima serta hasil uji effect size yang menggunakan rumus Cohen’s d diperoleh nilai yang termasuk dalam kriteria efek sedang. Berdasarkan hal tersebut, dapat disimpulkan bahwa pembelajaran menggunakan game edukasi berbasis Wordwall cukup efektif dalam meningkatkan hasil belajar matematika siswa.

Pengaruh Model TGT Terhadap Hasil Belajar Matematika Siswa Kelas VIII SMPN 11 Mataram

2026-09-07T10:05:19+01:00

This study was motivated by students’ low mathematics learning outcomes and the need for a learning model that can improve students’ activeness and understanding. The purpose of this study was to describe the effect of the Teams Games Tournament (TGT) cooperative learning model on the mathematics learning outcomes of grade VIII students at SMPN 11 Mataram on the topic of linear equations and linear inequalities in one variable in the 2025/2026 academic year. This study used a quantitative approach with a quasi-experimental method and a posttest-only non-equivalent control group design. The population of this study consisted of all grade VIII students at SMPN 11 Mataram, while the sample was selected using cluster random sampling, namely class VIII A as the experimental class and class VIII B as the control class. The research instruments included lesson plans, observation sheets, and learning outcome tests. The results showed that the average posttest score of the experimental class was higher than that of the control class. The t-test showed a significant difference with , and the effect size value was , which is categorized as large. Therefore, the Teams Games Tournament (TGT) cooperative learning model has a positive and significant effect on students’ mathematics learning outcomes.

Pengaruh Model Problem Based Learning (PBL) Terhadap Kemampuan Numerasi Siswa Kelas X

2026-09-12T10:06:41+01:00

Kemampuan numerasi merupakan salah satu kompetensi dasar yang perlu dikembangkan melalui pembelajaran matematika karena berperan dalam membantu siswa menyelesaikan masalah kontekstual secara efektif. Penelitian ini bertujuan untuk mengetahui pengaruh model Problem Based Learning (PBL) terhadap kemampuan numerasi siswa kelas X SMA. Penelitian ini menggunakan pendekatan kuantitatif dengan metode quasi experiment dan desain pretest-posttest control group. Sampel penelitian terdiri atas 64 siswa yang terbagi ke dalam 32 siswa pada kelas eksperimen dan 32 siswa pada kelas kontrol. Instrumen penelitian berupa tes kemampuan numerasi yang telah memenuhi uji validitas. Analisis data dilakukan melalui uji Analysis of Covariance (ANCOVA). Hasil penelitian menunjukkan bahwa rata-rata nilai kelas eksperimen meningkat dari 22,40 pada pretest menjadi 36,02 pada posttest 1 dan 46,88 pada posttest 2, lebih besar dari peningkatan kelas kontrol dari 13,17 pada Pretest menjadi 23,19 pada posttest 1 dan 24,75 pada posttest 2. Hasil uji ANCOVA menunjukkan nilai signifikansi 0,001 < 0,05 dan nilai Partial Eta Squared sebesar 0,283, yang menunjukkan bahwa model Problem Based Learning (PBL) berpengaruh positif dan signifikan terhadap kemampuan numerasi siswa setelah mengendalikan kemampuan awal. Dengan demikian, model Problem Based Learning (PBL) efektif digunakan untuk meningkatkan kemampuan numerasi siswa.

Pemodelan Prediksi Curah Hujan Bulanan Menggunakan LSTM Berbasis Deret Waktu di Provinsi Sumatera Utara

2026-10-05T08:09:57+01:00

Rainfall prediction is important for supporting hydrometeorological disaster mitigation and data-based decision making. This study aims to model monthly rainfall prediction using Long Short-Term Memory (LSTM) based on time series data in North Sumatra Province, with monthly weather data from Medan City as the study case. The data used cover the period from 2010 to 2025 and include rainfall, rainy days, temperature, humidity, wind speed, and air pressure. The research stages consist of data validation, exploratory data analysis, threshold determination for high rainfall, feature engineering, chronological data splitting, scaling, LSTM model training, baseline comparison, backtesting, cross validation, and rainfall prediction for 2026-2027. The best LSTM configuration used 64 units, dropout 0.1, learning rate 0.0005, batch size 8, and weighted MSE loss function. Evaluation on the 2025 test set produced MAE of 75.30 mm, RMSE of 89.34 mm, MAPE of 64.23%, and R2 of 0.3703. The LSTM model outperformed the baseline models based on MAE, RMSE, and R2. Forecast results indicate higher rainfall tendencies at the end of 2026 and 2027, especially in October, November, and December.

Optimasi Penjadwalan Produksi Multi-Mesin Menggunakan Model Integer Programming pada UKM Manufaktur

2026-09-21T10:17:46+01:00

Integer programming (IP) constitutes a fundamental framework in combinatorial optimization, extending linear programming by requiring decision variables to take integer values. This article presents a comprehensive narrative review of integer programming theory from the perspective of polyhedral analysis and cutting-plane methods. We examine the geometric relationship between the linear programming relaxation and the integer hull, the role of total unimodularity in guaranteeing integral extreme points, and the structural properties of valid inequalities that tighten this relaxation. The discussion covers the derivation of Chvátal-Gomory cuts, the geometry of branch-and-bound as a recursive partitioning of the feasible region, and Lagrangian relaxation as a dual bounding technique for integer programs, including the resulting integrality gap that distinguishes integer from linear duality. We further discuss recent developments connecting polyhedral theory with machine-learning-based cutting-plane selection. The findings show that polyhedral and geometric perspectives provide a coherent theoretical foundation for understanding why integer programs are computationally harder than their linear relaxations and how modern solvers exploit geometric structure to close the integrality gap. This review contributes to a deeper theoretical understanding of integer programming as a cornerstone of discrete optimization.

Pengaruh Model Problem Based Learning Terhadap Kemampuan Pemecahan Masalah Matematis Siswa

2026-09-21T10:17:33+01:00

Penelitian ini bertujuan untuk mengetahui pengaruh model Problem Based Learning terhadap kemampuan pemecahan masalah matematis siswa kelas VII SMPN 22 Mataram Tahun Ajaran 2025/2026. Jenis penelitian yang digunakan adalah eksperimen semu (quasi experiment) dengan desain posttest-only control design. Populasi penelitian ini adalah seluruh siswa kelas VII SMPN 22 Mataram yang berjumlah 45 siswa. Sampel penelitian terdiri atas kelas VII-A sebagai kelas eksperimen yang memperoleh pembelajaran menggunakan model PBL dan kelas VII-B sebagai kelas kontrol yang memperoleh pembelajaran langsung. Instrumen penelitian berupa tes uraian kemampuan pemecahan masalah matematis dan lembar observasi keterlaksanaan pembelajaran. Data dianalisis menggunakan uji prasyarat berupa uji normalitas dan uji homogenitas, dilanjutkan dengan uji hipotesis menggunakan uji-t serta perhitungan effect size Cohen’s d. Hasil penelitian menunjukkan bahwa terdapat perbedaan kemampuan pemecahan masalah matematis antara siswa yang belajar menggunakan model PBL dan siswa yang belajar menggunakan pembelajaran langsung. Hasil uji-t memperoleh nilai lebih besar dari , sehingga H₀ ditolak. Selain itu, hasil effect size sebesar 1,100 berada pada kategori tinggi. Dengan demikian, model PBL berpengaruh signifikan terhadap kemampuan pemecahan masalah matematis siswa kelas VII SMPN 22 Mataram dengan kategeri pengaruh tinggi.

Pemodelan Kasus Stunting di Sulawesi dengan Pendekatan Regresi Panel

2026-09-21T10:17:18+01:00

Stunting merupakan masalah gizi yang tetap menjadi perhatian serius, mengingat dampaknya yang berkepanjangan terhadap pertumbuhan dan perkembangan anak. Tingginya angka stunting yang terus berlanjut menandakan adanya berbagai faktor yang perlu ditangani terkait kesehatan masyarakat dan kesejahteraan, khususnya di wilayah Sulawesi. Penelitian ini bertujuan mengkaji faktor determinan stunting di Sulawesi dan menentukan model regresi data panel yang paling sesuai untuk analisis tersebut. Penelitian ini menggunakan data sekunder dari enam provinsi di Sulawesi selama periode 2016–2023. Variabel dependen dalam kajian ini adalah stunting, dengan variabel independen meliputi pemberian MPASI, kepesertaan JKN, kepemilikan KKS, APK PAUD, akses sanitasi, serta bantuan persalinan tenaga kesehatan. Analisis data dilakukan menggunakan RStudio melalui pendekatan Common Effect Model (CEM), Fixed Effect Model (FEM), dan Random Effect Model (REM), dengan model terbaik ditentukan melalui Uji Chow, Hausman, dan Breusch-Pagan. Analisis data menetapkan Fixed Effect Model (FEM) sebagai model terbaik. Secara simultan, semua variabel independen berpengaruh signifikan terhadap stunting, namun secara parsial, hanya variabel bantuan persalinan oleh tenaga kesehatan yang menunjukkan pengaruh signifikan. Nilai R² yang disesuaikan sebesar 86,39% menunjukkan bahwa model yang digunakan mampu menjelaskan variasi tingkat stunting dengan tingkat kepercayaan yang cukup tinggi. Berdasarkan hal ini, dapat disimpulkan bahwa regresi data panel dapat dimanfaatkan sebagai alat analisis untuk mengetahui faktor-faktor yang memengaruhi stunting serta memetakan perbedaan karakteristik antarprovinsi di Pulau Sulawesi.

Student Mental Health Risk Classification Using Random Forest and BERTopic: A Tabular and Text Analysis Approach

2026-09-22T10:17:49+01:00

Student mental health has become a critical issue affecting academic performance and quality of life. Many previous studies have only used numerical data and have not explored textual data that reflects students' subjective conditions. This study develops a classification model using Random Forest on tabular data to predict the risk of student mental health issues. The dataset consists of 500 students with a training-to-testing data split of 80:20. The model uses features such as academic performance, sleep patterns, and psychological scores. The results show that the model achieves a macro F1 Score of 0.90 despite class imbalance. The most influential variables are depression scores, stress levels, and anxiety. In addition, the BERTopic method was used separately to analyze text data and identify thematic patterns from student responses. However, not all topics generated were directly related to mental health. The model also has limitations in detecting minority classes due to data imbalance. This study provides a classification approach supported by text analysis to comprehensively understand students' mental health conditions.

Pengembangan Media Web Berbasis PHP untuk Perbandingan Metode Secant dan Halley

2026-09-22T10:17:35+01:00

Determining the roots of nonlinear functions is one of the mathematical problems commonly solved using numerical methods because not all functions can be solved analytically. This study aims to develop a PHP-based web application for determining the roots of nonlinear functions using the Secant Method and Halley Method, as well as to compare the performance of both methods based on error values and the number of iterations. This study employed a Research and Development (R&D) approach using the Waterfall model, which consists of the stages of requirement analysis, system design, implementation, testing, and maintenance. The results showed that the developed web application was able to accurately determine the roots of nonlinear functions for polynomial, trigonometric, and transcendental functions. Based on the testing results, the Halley Method produced smaller error values and required fewer iterations than the Secant Method for most of the tested functions, although the Secant Method performed faster on several transcendental functions. Therefore, the developed web application can be used as a learning medium and a supporting tool for comparing the performance of the Secant Method and Halley Method in determining the roots of nonlinear functions.

Pengaruh Model Problem Based Learning (PBL) Berbantuan LKPD Berjenjang Terhadap Pemahaman Konsep Matematis Siswa

2026-09-24T10:18:29+01:00

This study determined the effect of the Problem-Based Learning (PBL) model assisted by tiered Student Worksheets on the mathematical conceptual understanding of eighth-grade students at SMPN 22 Mataram in the 2025/2026 academic year. This quasi-experimental research employed a posttest-only control group design. The population comprised all 50 eighth-grade students at SMPN 22 Mataram in the 2025/2026 academic year. The sample was divided into an experimental class, which received the Problem-Based Learning (PBL) treatment assisted by tiered Student Worksheets, and a control class taught using direct instruction. Data were collected via an essay test and learning implementation observation sheets. Data analysis involved normality, homogeneity, independent samples t-test with separate variances, and Cohen’s d effect size tests. Results indicated that the experimental class demonstrated better conceptual understanding than the control class. Statistical analysis showed that the t-value (2.456) exceeded the t-table (2.011), rejecting the null hypothesis. Additionally, the effect size was 0.699, falling into the medium category. Thus, the Problem-Based Learning model assisted by tiered Student Worksheets significantly affects students’ mathematical conceptual understanding.

Optimasi Portofolio Mean-Conditional Value-At-Risk (MEAN-CVAR) untuk Saham Indeks IDXHIDIV20 di Bursa Efek Indonesia

2026-09-26T17:40:14+01:00

This study optimizes a portfolio of 20 IDXHIDIV20 constituent stocks listed on the Indonesia Stock Exchange using the Mean-Conditional Value-at-Risk (Mean-CVaR) model through Linear Programming (LP) in Python. Adjusted closing prices from 2 January 2020 to 28 April 2026, comprising 1,521 trading days, were divided into 1,216 in-sample and 304 out-of-sample observations. The Jarque-Bera test indicates non-normal return distributions for all stocks (p < 0.001), supporting the use of CVaR as a tail-risk measure. At α = 0.95, the Mean-CVaR model selects 9 active stocks and produces an in-sample CVaR of 2.5251% and an out-of-sample CVaR of 2.6992%. The out-of-sample CVaR is lower than the Equal-Weight portfolio (2.8311%) but higher than the Mean-Variance portfolio (2.5860%). Meanwhile, Equal Weight records the highest out-of-sample annualized return of 9.48%, compared with −10.19% for Mean-CVaR and −5.77% for Mean-Variance. Sensitivity analysis shows that increasing α from 0.90 to 0.99 increases out-of-sample CVaR from 2.0754% to 5.1917% and affects portfolio concentration. These results indicate that the choice of risk measure and confidence level influences portfolio composition and risk characteristics, while out-of-sample performance may differ from in-sample optimization results.

Social Engineering Vulnerability Index pada Provinsi di Indonesia Tahun 2025 dengan Principal Component Analysis dan K-Medoids Clustering

2026-09-29T10:24:44+01:00

Indonesia generates a wide range of data, including both public data and sensitive personal data. Generally, cyber attacks can occur through software vulnerabilities, human intermediaries using social engineering techniques, or combination of both. If social engineering involves software vulnerabilities, the CVSS can be used to assess software vulnerabilities and the EPSS to estimate the probability of the exploitation. However, CVSS and EPSS cannot be applied to social engineering techniques that do not involve software or merely use it as a medium without exploiting its vulnerabilities. Based on a literature review, no study has been found that develops social engineering vulnerability index at the subnational level. Therefore, this research aims to fill this gap by constructing Social Engineering Vulnerability Index for 38 Indonesian provinces in 2025 using Principal Component Analysis (PCA), preserving 79.33% of the original data's information. Subsequently, the vulnerability levels were analyzed using K-Medoids clustering, where the optimal number of clusters was based on the interpretation of Silhouette Coefficient (SC) and average Silhouette Coefficient. The index ranges from 0 to 1, representing 5 vulnerability levels. This research indicates that there are variations in social engineering vulnerability due to socioeconomic and digital ecosystem disparities

Optimasi Penjadwalan Mata Pelajaran di SMA Negeri 3 Tondano Menggunakan Integer Linear Programming

2026-09-29T10:24:31+01:00

The preparation of school timetables is a complex problem because it involves various components, such as teachers, classes, time slots, and numerous constraints that must be satisfied. Manual timetable construction often leads to scheduling conflicts, including teacher and classroom clashes. Therefore, an optimization method is required to generate an efficient and optimal timetable. This study aims to develop a timetable optimization model using the Integer Linear Programming (ILP) method and to obtain an optimal scheduling solution at SMA Negeri 3 Tondano. The proposed model consists of 7,245 decision variables and 14,394 constraints that reflect the actual conditions of the school, including instructional time allocation, teacher availability, and scheduling regulations. The model was solved using LINGO 22.0 software. The results show that the developed Integer Linear Programming model successfully generated feasible timetables without teacher or classroom scheduling conflicts in all 30 program runs. In addition, Global Optimum status was achieved in several runs, while the objective function values ranged from 17 to 19, with computation times varying from 18 seconds to 8 minutes and 59 seconds. These results indicate that the proposed model is capable of satisfying all scheduling constraints and producing effective and efficient solutions. Therefore, the Integer Linear Programming method can serve as an alternative approach to assist schools in developing more structured, optimal, and error-free timetables.

Pengaruh Model Teams Games Tournament Berbantuan Wordwall terhadap Kemampuan Pemecahan Masalah Matematis pada Materi SPLDV

2026-10-01T04:01:53+01:00

Mathematical problem-solving ability remains a challenge in mathematics education, highlighting the need for learning strategies that actively engage students. This study aimed to: (1) examine the difference in mathematical problem-solving ability between students who participated in Teams Games Tournament (TGT) assisted by Wordwall and those who received conventional instruction; and (2) determine the effect of the learning model on students’ mathematical problem-solving ability. An experiment was conducted using a nonequivalent posttest-only control group design involving two eighth-grade classes at SMP Negeri 1 Blado selected through cluster random sampling. Data were collected through an essay test based on Polya’s problem-solving indicators and analyzed using the R software. The findings showed a significant difference in mathematical problem-solving ability between the two groups with a mean posttest score of for the experimental class and for the control class. The Cohen’s d value of indicated a moderate effect of TGT assisted by Wordwall on students’ mathematical problem-solving ability in the topic of Systems of Linear Equations in Two Variables (SPLDV). These findings suggest that TGT assisted by Wordwall can be considered as an alternative mathematics learning strategy that combines competitive activities with digital media to support students’ mathematical problem-solving ability

Pengembangan LKPD Deep Learning Berbasis Kontekstual untuk Mengembangkan Kemampuan Penalaran Matematis Siswa

2026-10-01T03:35:06+01:00

This study aims to develop valid, practical, and effective contextual deep learning student worksheets (LKPD) to develop students’ mathematical reasoning skills on the topic of arcs and sectors of a circle. The study used the Research and Development (R&D) method with a 4D model limited to the development stage due to time and cost constraints. The research stages included define, design, and develop. The limited trial involved 21 students of class XII.A2 at MA Tanbihul Ghofilin Banjarnegara. The research instruments consisted of validation sheets from material and media experts, teacher and student response questionnaires, and a mathematical reasoning ability test. The developed LKPD integrates deep learning principles with a contextual approach through connecting, experiencing, reflecting, and applying activities to support students’ mathematical reasoning. The results showed an average validity score of 3.4 (valid) and an average practicality score of 3.5 (practical). The effectiveness test showed an increase in the average score from 55.56 on the pretest to 83.72 on the posttest, with an increase of 28.16 points. The N-Gain analysis obtained a value of 63.4%, which was categorized as moderate. Based on the validity, practicality, and effectiveness results, the contextual deep learning LKPD is suitable for use as teaching material for the topic of arcs and sectors of a circle.

Pengaruh Model Pembelajaran Kooperatif Tipe Teams Games Tournament (TGT) Berbasis Clash of Champions terhadap Hasil Belajar Siswa

2026-09-29T10:23:51+01:00

Low student mathematics learning outcomes remain a problem at MTsN 3 Mataram. End-of-Semester Summative Data shows that most eighth-grade students have not yet achieved the Minimum Achievement Criteria. In addition, the learning process is still dominated by lecture methods so that students tend to be passive and less motivated in participating in learning. This study aims to determine the effect of the Teams Games Tournament (TGT) cooperative learning model based on Clash of Champions on the mathematics learning outcomes of eighth-grade students at MTsN 3 Mataram in the 2025/2026 academic year. This study uses a quantitative approach with a quasi-experimental method and a posttest-only control group design. The research sample consisted of students of grades VIII-3 as the experimental class and VIII-2 as the control class selected using a purposive sampling technique. Learning outcome data were obtained through a posttest and analyzed using normality tests, homogeneity tests, t-tests, and effect size. The results showed that the average posttest score of the experimental class was 80.83, higher than the control class at 66.50. The t-test results show that is greater than 1,99, so there is a significant difference between the two classes. The effect size value of 0.93 indicates a high influence category. Thus, the cooperative learning model of the Teams Games Tournament (TGT) type based on Clash of Champions has a positive effect on students' mathematics learning outcomes.

The Pengaruh Media Pembelajaran Interaktif Berbasis Canva Terhadap Hasil Belajar Matematika Siswa MTsN 3 Mataram

2026-09-29T10:23:09+01:00

This study aims to determine the effect of Canva-based interactive learning media on students’ mathematics learning outcomes in Grade VIII at MTs Negeri 3 Mataram during the 2026/2027 academic year. This research employed a quantitative approach using a Posttest-Only Nonequivalent Control Group Design. The research sample consisted of 71 students, including 35 students in the experimental class who received instruction using Canva-based interactive learning media and 36 students in the control class who were taught using conventional textbook-based learning media. Data were collected through a mathematics learning outcomes test on the topic of exponents. The collected data were analyzed using normality tests, homogeneity tests, an Independent Samples t-test, and an effect size analysis. The results showed that the mean posttest score of students’ mathematics learning outcomes in the experimental class was 78.43, while the control class obtained a mean score of 60.75. The homogeneity test indicated that the data had homogeneous variances, with a significance value of 0.188 > 0.05. Furthermore, the hypothesis testing using the Independent Samples t-test revealed that the calculated t-value of 4.460 was higher than the t-table value of 1.995 at a significance level of 0.05, indicating that the null hypothesis () was rejected and the alternative hypothesis () was accepted. In addition, the calculation of the effect size using Cohen’s d resulted in a value of 1.059, which was categorized as a high effect. Based on these findings, it can be concluded that Canva-based interactive learning media has a positive and significant effect on students’ mathematics learning outcomes in Grade VIII at MTs Negeri 3 Mataram during the 2026/2027 academic year.

Enumerasi dan Penyaringan Kombinasi Menu MBG Berbasis Kombinatorika Bersyarat dengan Kendala Biaya dan Energi

2026-09-29T10:24:18+01:00

Program Pangan Bergizi Gratis (MBG) mensyaratkan menu yang beragam, bergizi, terjangkau, dan tidak monoton. Studi ini bertujuan menerapkan kombinatorika bersyarat untuk menyaring kombinasi menu MBG berdasarkan tiga kendala: biaya ≤ Rp15.000, wajib mengandung minimal satu protein hewani, dan energi 530–630 kkal per porsi. Data harga diperoleh dari SIMPANG Medan, Pikiran Rakyat Medan, dan ANTARA (19–25 Mei 2026), sedangkan data gizi bersumber dari Tabel Komposisi Pangan Indonesia (TKPI) 2017. Menggunakan Kaidah Perkalian dan enumerasi perkalian Kartesius dengan penyaringan berkendala via Google Colab, dihasilkan 9.375 kombinasi awal. Dari jumlah tersebut, hanya 1.582 (16,87%) memenuhi ketiga kendala secara simultan, sehingga reduksi ruang pencarian mencapai 83,13%. Delapan menu rekomendasi dipilih melalui purposive sampling berbasis distribusi kuartil biaya dan energi, dengan kisaran biaya Rp10.450–Rp14.500 dan energi 532–625 kkal. Penelitian ini membuktikan bahwa kombinatorika bersyarat merupakan alternatif yang sederhana, transparan, dan aplikatif dibandingkan pemrograman linear atau pendekatan metaheuristik untuk perencanaan menu MBG di tingkat lapangan.

Peramalan Nilai Impor Non‑Migas Indonesia Menggunakan Metode Hybrid Ensemble Empirical Mode Decomposition‑Autoregressive Fractionally Integrated Moving Average (EEMD‑ARFIMA)

2026-09-29T10:24:04+01:00

Impor non‑migas memiliki peran penting dalam memenuhi kebutuhan domestik yang belum dapat diproduksi di dalam negeri. Selama periode 2013–2022, impor non‑migas Indonesia tercatat mendominasi dengan kontribusi rata‑rata 83,61% per tahun. Namun, karakteristik data impor non‑migas cenderung bersifat non stasioner dan kompleks, sehingga memerlukan teknik analisis yang mampu menguraikan pola data secara lebih mendalam. Ensemble Empirical Mode Decomposition (EEMD) merupakan metode dekomposisi adaptif yang mampu memecah data menjadi beberapa Intrinsic Mode Functions (IMF), sehingga memudahkan proses pemodelan. Selanjutnya, Autoregressive Fractionally Integrated Moving Average (ARFIMA) digunakan untuk memodelkan komponen‑komponen yang memiliki sifat long memory. Penelitian ini bertujuan untuk menerapkan metode hybrid EEMD‑ARFIMA dalam meramalkan nilai impor non‑migas Indonesia, serta membandingkan akurasinya dengan metode ARFIMA tanpa dekomposisi. Data impor non‑migas Indonesia periode Januari 2000 hingga Desember 2023 didekomposisi menggunakan EEMD menjadi tujuh IMF dan satu komponen residu. Setiap komponen kemudian dimodelkan menggunakan ARFIMA, dan hasil peramalannya dijumlahkan untuk memperoleh ramalan akhir nilai impor non‑migas. Hasil penelitian menunjukkan bahwa pendekatan hybrid EEMD‑ARFIMA memberikan kinerja peramalan yang lebih baik dibandingkan model ARFIMA tanpa dekomposisi. Hal ini ditunjukkan oleh nilai MAPE metode EEMD‑ARFIMA sebesar 14,29056, lebih rendah dibandingkan MAPE ARFIMA sebesar 18,97699. Dengan demikian, metode EEMD‑ARFIMA terbukti mampu menangkap dinamika data impor non‑migas secara lebih efektif dan meningkatkan akurasi hasil peramalan.

Pengaruh Kemampuan Self Regulated Learning Terhadap Pemecahan Masalah Matematika Pada Siswa Kelas XI MIPA SMA NW Mataram Tahun Ajaran 2025/2026

2026-09-30T10:24:24+01:00

This study aimed to describe students Self Regulated Learning abilities and mathematical problem-solving abilities, as well as to determine whether there was a significant influence of self regulated learning on the mathematical problem solving abilities of Grade XI Science students at SMA NW Mataram in the 2025/2026 academic year. This study employed a ex pos facto with a quantitive approach. The population and sample consisted of all 31 students of Grade XI Science at SMA NW Mataram. The research instruments included a self regulated learning questionnaire and a mathematical problem solving test. The test material in this study consists of sequences and series. The data were analyzed using simple linear regression analysis. The results showed that: (1) the students self regulated learning ability was in the moderate category, with a percentage of 64.5%; (2) the students' mathematical problem-solving ability was also in the moderate category, with a percentage of 83.88%; and (3) there was a significant influence of self regulated learning on students mathematical problem solving ability. This finding was supported by the regression equation Y = 2.777 + 0.221X and the results of the F-test, which indicated that Fcalculated = 30.786 was greater than Ftable = 4.18. Furthermore, the coefficient of determination (R²) was 0.515, indicating that self regulated learning contributed 51.5% to students mathematical problem solving ability, while the remaining 48.5% was influenced by other factors.

Analisis Perbedaan Minat Belajar dan Hasil Belajar Mahasiswa Matematika Berdasarkan Gaya Belajar Mahasiswa

2026-09-30T10:24:12+01:00

Penelitian ini bertujuan untuk menganalisis perbedaan minat belajar dan hasil belajar mahasiswa Pendidikan Matematika berdasarkan gaya belajar. Penelitian menggunakan pendekatan kuantitatif dengan desain komparatif. Populasi penelitian adalah 99 mahasiswa Program Studi Pendidikan Matematika Universitas Nusa Cendana angkatan 2023, dengan sampel sebanyak 79 mahasiswa yang dipilih menggunakan teknik simple random sampling. Variabel bebas dalam penelitian ini adalah gaya belajar yang terdiri atas visual, auditori, dan kinestetik, sedangkan variabel terikatnya adalah minat belajar dan hasil belajar. Data dikumpulkan melalui angket gaya belajar, angket minat belajar, dan dokumentasi nilai akademik. Analisis data dilakukan menggunakan Multivariate Analysis of Variance (MANOVA). Hasil penelitian menunjukkan bahwa asumsi normalitas multivariat dan homogenitas matriks varians-kovarians telah terpenuhi. Hasil uji MANOVA menunjukkan bahwa terdapat pengaruh yang signifikan dari gaya belajar terhadap minat belajar dan hasil belajar mahasiswa secara simultan. Namun, hasil uji ANOVA parsial menunjukkan bahwa hanya minat belajar yang berbeda secara signifikan berdasarkan gaya belajar, sedangkan hasil belajar tidak menunjukkan perbedaan yang signifikan. Uji lanjut Bonferroni menunjukkan adanya perbedaan minat belajar yang signifikan antara kelompok visual dan kinestetik serta antara kelompok auditori dan kinestetik.

Pengaruh TGT Berbantuan Board Game Kartu Soal terhadap Hasil Belajar Matematika di SMPN 2 Labuapi

2026-09-30T10:23:59+01:00

Pembelajaran matematika memerlukan model pembelajaran yang mampu melibatkan siswa secara aktif dalam membangun pengetahuan melalui interaksi dan pengalaman belajar yang bermakna. Namun, pembelajaran matematika di sekolah masih didominasi oleh pembelajaran yang berpusat pada guru sehingga partisipasi siswa dan hasil belajar belum optimal. Penelitian ini bertujuan untuk mengetahui pengaruh model pembelajaran kooperatif tipe Teams Games Tournament (TGT) berbantuan media Board Game Kartu Soal terhadap hasil belajar matematika siswa kelas VII SMP Negeri 2 Labuapi. Penelitian menggunakan pendekatan kuantitatif dengan metode quasi experiment dan desain pretest-posttest control group design. Sampel penelitian terdiri atas kelas VII C sebagai kelas eksperimen dan kelas VII D sebagai kelas kontrol yang dipilih menggunakan teknik purposive sampling. Data dikumpulkan melalui tes hasil belajar dan lembar observasi. Analisis data dilakukan menggunakan statistik deskriptif, Independent Sample t-Test, Normalized Gain (N-Gain), dan effect size. Hasil penelitian menunjukkan adanya perbedaan hasil belajar matematika yang signifikan antara kelas eksperimen dan kelas kontrol (Sig. < 0,05). Kelas eksperimen memperoleh rata-rata N-Gain sebesar 0,719 (kategori tinggi), sedangkan kelas kontrol memperoleh rata-rata 0,596 (kategori sedang). Nilai effect size sebesar 0,701 dan 0,622 juga menunjukkan pengaruh pada kategori sedang. Dengan demikian, model pembelajaran kooperatif tipe Teams Games Tournament (TGT) berbantuan media Board Game Kartu Soal berpengaruh positif dan signifikan terhadap hasil belajar matematika siswa.

Penggunaan Media Lego Untuk Meningkatkan Pemahaman Konsep Pecahan Dalam Pembelajaran Matematika Siswa Kelas IV SD

2026-10-01T16:59:24+01:00

Mathematics instruction regarding fractions in elementary schools is often hindered by the presentation of concepts that are overly abstract, lacking adequate support from concrete instructional media. This study aims to determine the impact of using LEGO bricks as manipulative media on improving the understanding of fraction concepts among fourth-grade elementary students. Employing a quantitative approach with a pre-experimental One-Group Pretest-Posttest design, the study involved a homogeneous sample of 22 students from MI Esa Nusa Islamic School. Data were collected via essay-based pre-tests and post-tests and subsequently analyzed using a paired t-test and Normalized Gain (N-Gain) calculations. The analysis revealed a highly significant increase in the students' mean scores rising from 45.45 to 66.36 with a calculated t-tabel of 12.81 (p < 0.05). Meanwhile, the mean N-Gain score of 0.38 indicates that the effectiveness of this medium falls within the moderate category. The practical implications of this study underscore the importance of elementary school teachers shifting from conventional lecture-based methods to the use of interactive, constructive media to tangibly visualize abstract mathematical relationships, while simultaneously managing the students' gradual cognitive transitions.

Optimalisasi Kemampuan Pemecahan Masalah Matematis Melalui Model CTL berbantuan Media APPINSU Berbasis Kearifan Lokal

2026-09-30T10:23:20+01:00

Mathematical problem-solving ability is a crucial competency for elementary school students, yet it remains a challenge in mathematics instruction. This study aimed to determine the improvement in students' mathematical problem-solving abilities following the implementation of the Contextual Teaching and Learning (CTL) model supported by local wisdom-based APPINSU media. A quantitative approach was employed using a pre-experimental, one-group pretest-posttest design. The study population consisted of Grade Va students at SDN Jambean 02, selected via a saturated sampling technique. Data were collected through essay-based pretests and posttests and subsequently analyzed using normality tests, paired-sample t-tests, and N-Gain analysis. The results revealed a significant difference between pretest and posttest scores, with a sig. (2-tailed) value of 0.000 (< 0.05). Mathematical problem-solving ability improved, yielding an N-Gain score of 0.76 (76.50%), which falls into the high category and is interpreted as effective. Improvements were observed across all indicators; the greatest gain occurred in the first indicator, while the smallest was in the last. Thus, the study group demonstrated improved mathematical problem-solving abilities following the implementation of the CTL model supported by local wisdom-based APPINSU media. These findings indicate that the application of this model and media has the potential to enhance mathematical problem-solving skills. Future research is recommended to utilize a control group or a more robust experimental design to obtain more conclusive evidence regarding the treatment's impact.

Pengaruh Model Discovery Learning Terhadap Kemampuan Pemahaman Konsep Matematis Siswa SMA Pada Materi Peluang

2026-09-30T10:23:07+01:00

Mathematical conceptual understanding remains one of the challenges in mathematics education, as students often experience difficulties in understanding and appropriately applying mathematical concepts. Therefore, this present study aimed to determine the effect of the Discovery Learning model on students’ mathematical conceptual understanding in probability material. This study employed a quantitative approach using a One-Shot Case Study design. The population consisted of all tenth-grade students at SMA Persatuan Tulangan, with a sample of 34 students selected through simple random sampling. The data were acquired through classroom implementation observation sheets and a mathematical conceptual understanding test, and then analyzed using descriptive statistics and simple linear regression. The findings indicated that the implementation of the Discovery Learning model was categorized as very good. The regression analysis of (<0,001) < (0,05), indicating a positive and significant effect of the Discovery Learning model on students mathematical conceptual understanding. Therefore, Discovery Learning can be used as an alternative learning model for probability.

Analisis Kemampuan Berpikir Kreatif dalam Menyelesaikan Soal Open-Ended pada Materi Barisan dan Deret Ditinjau dari Gaya Belajar Siswa

2026-10-01T10:27:27+01:00

This study was motivated by differences in students’ creative thinking abilities when solving open-ended problems based on their learning styles. The study aimed to describe students’ creative thinking abilities in solving open-ended problems on sequences and series based on visual, auditory, and kinesthetic learning styles. A descriptive qualitative approach was employed. A learning style questionnaire was administered to 30 students of class XI.1, and six students were selected through purposive sampling, consisting of two visual, two auditory, and two kinesthetic learners. Data were collected through a learning style questionnaire, a creative thinking ability test, interviews, and documentation. Data were analyzed through data reduction, data presentation, and conclusion drawing, with method triangulation used to establish data validity. The results showed that the visual subjects demonstrated good performance in the fluency and flexibility indicators, while some also demonstrated novelty, placing them in the creative to highly creative categories. The auditory subjects tended to fulfill the fluency indicator and were categorized as less creative, whereas the kinesthetic subjects were unable to fulfill all three indicators simultaneously and were categorized as less creative to uncreative. In conclusion, the subjects demonstrated different characteristics of creative thinking abilities across learning styles.

Analisis Kesalahan Siswa dalam Menyelesaikan Soal Literasi Matematika Berbasis Data Publik Daerah Berdasarkan Prosedur Newman

2026-10-01T10:26:36+01:00

Mathematical literacy is an essential skill required for students to solve problems in real-life contexts. However, students still experience difficulties in solving mathematical literacy problems, particularly those based on real-world data. This study aimed to analyze students' errors in solving mathematical literacy problems based on regional public data using Newman’s Procedure. This research employed a descriptive qualitative approach and was conducted at SMP Negeri 2 Sungguminasa. A total of 24 eighth-grade students participated in the test, from which three students representing high, medium, and low ability categories were selected through purposive sampling. Data were collected through mathematical literacy tests developed using official statistical data from South Sulawesi Province, semi-structured interviews, and documentation. The results showed that each ability category exhibited different types of errors. High-ability students made comprehension and encoding errors. Medium-ability students made comprehension, transformation, process skills, and encoding errors. Meanwhile, low-ability students experienced errors at all stages of Newman’s Procedure. These errors were influenced by students’ limited understanding of problem information, unfamiliarity with mathematical literacy problems based on regional public data, and difficulties in interpreting calculation results within the given context.

Pemecahan Masalah Matematis Melalui Contextual Teaching and Learning dengan Pendekatan Deep Learning Berbantuan Liveworksheets

2026-10-01T10:27:14+01:00

(CTL) dengan pendekatan Deep Learning berbantuan Liveworksheets terhadap kemampuan pemecahan masalah matematis siswa. Penelitian menggunakan metode kuantitatif dengan desain true experimental. Sampel penelitian ditentukan menggunakan cluster random sampling, yaitu kelas VII B sebagai kelas eksperimen dan kelas VII D sebagai kelas kontrol. Data dikumpulkan melalui tes, angket, observasi, wawancara, dan dokumentasi, kemudian dianalisis secara kuantitatif dan kualitatif melalui triangulasi. Hasil penelitian menunjukkan bahwa pembelajaran CTL dengan pendekatan Deep Learning berbantuan Liveworksheets memenuhi kriteria pembelajaran berkualitas ditinjau dari validitas perangkat, keterlaksanaan pembelajaran, dan respons siswa, serta efektif meningkatkan kemampuan pemecahan masalah matematis.

Optimasi rute transit penumpang trans metro deli antar-koridor menggunakan algoritma dijkstra pada pemodelan graf berarah

2026-10-01T10:27:02+01:00

This study applies graph theory to model the Trans Metro Deli network and determine the minimum weighted path using Dijkstra's Algorithm. The transportation network is represented as a weighted directed graph G=(V,E), where vertices represent bus stops, edges represent direct connections between bus stops, and the weight w(u,v) represents the estimated travel time in minutes. Data was obtained from BusListrikMedan and Google Maps, then implemented using Python with the NetworkX library. The modeling results produce a weighted directed graph consisting of 236 vertices and 245 edges representing the five main corridors of Trans Metro Deli. Tests were conducted on five travel scenarios to analyze the path with the minimum total weight. The results show that Dijkstra's Algorithm successfully determines the minimum weighted path in all test scenarios. The smallest minimum weight was obtained on the Amplas Terminal Bus Stop–Juanda Bus Stop route at 22 minutes, while the largest minimum weight was obtained on the Bandar Khalipah Station Bus Stop–Pinang Baris Terminal Bus Stop route at 73 minutes. Validation against Google Maps resulted in a time difference of 2–4 minutes, which indicates that the graph model built is able to represent the connectivity of the Trans Metro Deli network well.

A Pengaruh CTL Berbantuan e-LKPD terhadap Kelancaran Prosedural Matematis dengan Mengontrol Kemampuan Awal Siswa

2026-10-01T10:26:49+01:00

Abstract

Procedural fluency in mathematics is an important skill that enables students to solve mathematical problems accurately, systematically, and efficiently; however, this skill is still relatively low in the topic of trigonometric ratios. This study aimed to analyze the effect of the Contextual Teaching and Learning (CTL) model supported by e-LKPD on students’ procedural fluency, while controlling for their prior ability. The research employed a quasi-experimental method with a Nonequivalent Control Group Design and was conducted at SMK Negeri 1 Petarukan. The study sample consisted of 65 tenth-grade TJKT students, divided into 35 students in the experimental class and 30 students in the control class. Prior ability was determined from mathematics evaluation scores before treatment. Data were collected through essay tests measuring procedural fluency and were analyzed using Analysis of Covariance (ANCOVA). The results indicated that the CTL model supported by e-LKPD had a significant effect on procedural fluency after controlling for prior ability, with a significance value of 0.006, and the experimental class posttest mean (79.44) was higher than the control class mean (74.07).

Keywords: Contextual Teaching and Learning; e-LKPD; Mathematical Procedural Fluency.

Abstrak

Kelancaran prosedural matematis adalah kemampuan penting yang memungkinkan siswa menyelesaikan masalah matematika secara tepat, sistematis, dan efisien; namun pada materi perbandingan trigonometri kemampuan ini masih tergolong rendah. Penelitian ini bertujuan menganalisis pengaruh model Contextual Teaching and Learning (CTL) yang dibantu e-LKPD terhadap kelancaran prosedural matematis siswa dengan mengontrol kemampuan awal mereka. Penelitian menggunakan metode eksperimen semu (quasi-experimental) dengan desain Nonequivalent Control Group Design, dilaksanakan di SMK Negeri 1 Petarukan. Subjek penelitian terdiri dari 65 siswa kelas X TJKT, terbagi menjadi 35 siswa pada kelas eksperimen dan 30 siswa pada kelas kontrol. Kemampuan awal ditentukan dari nilai evaluasi matematika sebelum perlakuan. Data dikumpulkan melalui tes uraian yang mengukur kelancaran prosedural matematis dan dianalisis menggunakan Analysis of Covariance (ANCOVA). Hasil menunjukkan bahwa model CTL berbantuan e-LKPD memberikan pengaruh signifikan terhadap kelancaran prosedural setelah mengontrol kemampuan awal, dengan signifikansi 0,006, dan rata-rata posttest kelas eksperimen (79,44) lebih tinggi daripada kelas kontrol (74,07).

Kata Kunci: Contextual Teaching and Learning; e-LKPD; kelancaran prosedural matematis.

Efektivitas Pembelajaran Berbantuan Video Interaktif terhadap Pemahaman Konsep Materi SPLDV pada Siswa Kelas VIII MTs Negeri 1 Mataram

2026-10-01T10:26:10+01:00

Students’ conceptual understanding of Systems of Linear Equations in Two Variables (SPLDV) is an important basis for solving mathematical problems. This study aimed to examine the effectiveness of learning assisted by H5P-based interactive videos in improving the conceptual understanding of eighth-grade students at MTs Negeri 1 Mataram. The study employed a quantitative quasi-experimental approach using a pretest-posttest nonequivalent control group design. The sample consisted of two intact classes, with 38 students in each class. The experimental class received learning assisted by H5P-based interactive videos through Lumi Education, whereas the control class received learning assisted by informative videos. Both groups completed a pretest and posttest. The primary comparison was the posttest conceptual-understanding score after the assumptions for parametric analysis were examined; N-Gain was used as a descriptive measure of improvement. The independent-samples t-test showed a significant difference between the experimental and control classes, t(74) = 8.752, p < .001, with a mean difference of 15.263 points. The corresponding standardized effect was large (Hedges’ g ≈ 1.99). The mean N-Gain was 76.89% in the experimental class and 41.83% in the control class. These findings indicate that, within the conditions of this study, students receiving interactive-video-assisted learning obtained higher posttest conceptual-understanding scores than students receiving informative-video-assisted learning. The interpretation of causal effectiveness remains limited by the absence of a reported baseline-equivalence test and complete reliability and indicator-level statistics; these analyses should be reported before final publication.

Pengaruh Model Pembelajaran Search, Solve, Create and Share terhadap Kemampuan Berpikir Kritis Peserta Didik

2026-10-01T10:25:57+01:00

The low critical thinking ability of students in mathematics learning at SMA Negeri 5 Mataram is a fundamental problem that requires innovative learning intervention. This study aims to determine the effect of the Search, Solve, Create, and Share (SSCS) learning model on the critical thinking skills of tenth-grade students at SMA Negeri 5 Mataram in the 2025/2026 academic year. The research uses a quantitative approach with a quasi-experimental method and a Posttest-Only Control Group Design. The sample consisted of 61 students, comprising 30 students of class X-MIPA 1 as the experimental class who received the SSCS model and 31 students of class X-MIPA 3 as the control class who received the direct instruction learning model, selected through cluster random sampling. The instrument was a posttest essay consisting of two HOTS-type questions based on critical thinking skill indicators. Data analysis used an independent samples t-test separated variances. The results showed that the average score of the experimental class was 80.14, higher than the control class at 64.38, with = 8.0091 > = 2.0010 (α = 0.05), thus was rejected. The Cohen’s d value = 2.0487 was categorized as a large effect. These findings prove that the SSCS learning model has a significant and large effect on students’ critical thinking skills in statistics material.

Self-Interest Siswa Terhadap pembelajaran Matematika : Studi Kuantitatif Pada Siswa Kelas 9 SMP Ta’mirul Islam Surakarta

2026-10-01T10:25:12+01:00

This study aimed to determine the level of self-interest of ninth-grade students at SMP Ta’mirul Islam Surakarta toward mathematics learning. In this study, self-interest refers to students’ internal interest in mathematics learning, which is distinct from motivation and self-regulated learning and is measured through the Four-Phase Model of Interest Development. This study employed a quantitative approach using a descriptive method. The subjects were 35 ninth-grade students selected through purposive sampling. Data were collected using an eight-item Likert-scale questionnaire, which was tested using the Product Moment Pearson validity test and the Cronbach’s Alpha reliability test. Scores were categorized as high, moderate, or low based on the sample mean and standard deviation (mean ± 1 SD). All items were valid because the rcount values were higher than the rtable value of 0.334, and the Cronbach’s Alpha value was 0.612. The mean score was 42.6571, with a minimum of 35.00, a maximum of 50.00, and a standard deviation of 3.32498. These results place students’ self-interest in the moderate category, with relatively homogeneous scores. Among the four phases, emerging individual interest had the highest percentage and triggered situational interest the lowest. Because the sample was purposive, the findings describe the sampled students and cannot be generalized to all ninth-grade students.

Pemodelan Generalized Additive Mixed Model Pada Data Jumlah Kasus Kusta di Sulawesi Tengah

2026-10-01T10:29:01+01:00

Leprosy is a contagious disease caused by the bacterium Mycobacterium leprae and remains a concern in Indonesia, especially in Central Sulawesi Province, which is classified as a high endemic area. Nationally, in 2022 Central Sulawesi ranked 8th in terms of new leprosy cases. This study aims to model the number of leprosy cases and identify significant factors using the Generalized Additive Mixed Model (GAMM) method. The data used are the number of leprosy cases in 2021–2023 in Central Sulawesi Province. The independent variables used included population density, percentage of poor population, access to proper sanitation, health complaints, number of medical personnel, male population, health services for the elderly, and access to proper drinking water sources. The GAMM model was applied with a P spline smoothing function and parameter estimation using Restricted Maximum Likelihood (REML). The results showed that male population was significantly and positively associated with the number of leprosy cases. The random effect of district/city also indicated variation among regions that was not fully explained by the fixed effects in the model. These findings indicate the presence of statistical association between demographic characteristics and leprosy case counts, as well as heterogeneity among districts/cities, without implying a causal relationship

Efektivitas LKPD Berbasis Budaya Lokal Menggunakan Model Problem Based Learning dalam Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa

2026-10-01T10:24:59+01:00

Kemampuan pemecahan masalah matematis penting dikembangkan dalam pembelajaran matematika. Salah satu upaya meningkatkannya adalah menggunakan LKPD berbasis budaya lokal melalui model Problem Based Learning. Penelitian ini bertujuan mengetahui efektivitas LKPD berbasis budaya lokal menggunakan model Problem Based Learning dalam meningkatkan kemampuan pemecahan masalah matematis siswa kelas VII SMPN 16 Mataram Tahun Ajaran 2025/2026. Penelitian menggunakan pendekatan kuantitatif dengan metode quasi experiment dan desain Pretest-Posttest Nonequivalent Control Group Design. Populasi berjumlah 132 siswa kelas VII SMPN 16 Mataram. Sampel dipilih menggunakan cluster random sampling, yaitu VII B sebagai kelas eksperimen sebanyak 30 siswa dan VII A sebagai kelas kontrol sebanyak 31 siswa. Kelas eksperimen memperoleh pembelajaran menggunakan LKPD berbasis budaya lokal melalui model Problem Based Learning, sedangkan kelas kontrol memperoleh pembelajaran langsung tanpa LKPD. Hasil uji-t setelah normalitas dan homogenitas menunjukkan nilai , sehingga terdapat perbedaan rata-rata kemampuan pemecahan masalah matematis antara kedua kelas. Rerata N-Gain kelas eksperimen sebesar 0,755 berkategori tinggi, sedangkan kelas kontrol sebesar 0,594 berkategori sedang. Effect Size sebesar 1,043 termasuk kategori besar. Hasil tersebut menunjukkan peningkatan kelas eksperimen lebih baik daripada kelas kontrol. Dengan demikian, penggunaan LKPD berbasis budaya lokal melalui model Problem Based Learning efektif meningkatkan kemampuan pemecahan masalah matematis siswa kelas VII SMPN 16 Mataram.

Pengaruh Efikasi Diri Terhadap Kemampuan Pemecahan Masalah Matematika Siswa Kelas VIII A SMP IT Bukit Quran Nusantara Mataram Tahun Ajaran 2025/2026

2026-10-01T10:24:44+01:00

Kemampuan pemecahan masalah matematika merupakan kapasitas kognitif fundamental yang dipengaruhi oleh aspek afektif, salah satunya efikasi diri. Penelitian ini bertujuan untuk menguji pengaruh efikasi diri terhadap kemampuan pemecahan masalah matematika siswa kelas VIII SMP IT Bukit Quran Nusantara Mataram tahun ajaran 2025/2026. Penelitian ini menggunakan pendekatan kuantitatif jenis ex post facto dengan sampel sebanyak 23 siswa kelas VIII A yang dipilih melalui teknik purposive sampling. Instrumen pengumpulan data berupa angket efikasi diri (35 butir) dan tes kemampuan pemecahan masalah (2 soal uraian materi bilangan berpangkat) yang telah divalidasi menggunakan indeks Aiken's V (V = 0,883 dan V = 0,886). Hasil analisis deskriptif menunjukkan tingkat efikasi diri siswa dominan pada kategori sedang (69,57%) dan tinggi (30,43%), sedangkan kemampuan pemecahan masalah matematika dominan pada kategori tinggi (43,48%) dan sangat tinggi (21,74%). Uji hipotesis menggunakan regresi linear sederhana menghasilkan persamaan Y = 4,640 + 0,964X dengan nilai = 17,245 yang sangat signifikan (p = 0,000 < 0,05). Efikasi diri memberikan kontribusi murni sebesar 43,9% (Adjusted = 0,439) terhadap variabilitas kemampuan pemecahan masalah matematika, sedangkan 56,1% sisanya dipengaruhi faktor eksternal lain. Disimpulkan bahwa terdapat pengaruh positif dan signifikan efikasi diri terhadap kemampuan pemecahan masalah matematika siswa.

Pengembangan E-LKPD Statistika Terintegrasi Berpikir Komputasional: Upaya Mengurangi Kecemasan Matematika Siswa Kelas X SMA

2026-10-01T10:27:42+01:00

Mathematics anxiety in statistics learning remains a problem that has rarely been specifically addressed
through learning media that explicitly integrate computational thinking. This study aims to develop a
Computational Thinking-Integrated Statistics E-LKPD to reduce students' mathematics anxiety, using the
ADDIE model, comprising the analyze, design, develop, implement, and evaluate stages. The research trial
subjects were tenth-grade students of SMA Negeri 1 Mengwi. Validity data were obtained through validation
by material and media experts, practicality data through the User Experience Questionnaire (UEQ), and
effectiveness data through the Abbreviated Math Anxiety Scale (AMAS). Data were analyzed using the
average-scoring formula, the UEQ data analysis tool, and a paired-samples t-test. The results showed that
the developed E-LKPD had very good quality. Material expert validation scored 0.98 and media expert
validation 0.91, both categorized as very valid. The practicality showed excellent clarity, good efficiency,
accuracy, stimulation, and novelty, and an above average attractiveness. The effectiveness test showed a
decrease in the mean mathematics anxiety score from 29.86 at pretest to 26.21 at posttest, with a paired
samples t-test significance value of 0.001 (< 0.05). Thus, the product meets the criteria of validity, practicality,
and effectiveness, making it feasible for use in tenth-grade statistics learning.

Pengembangan Website Interaktif dengan Fitur Randomisasi Koefisien untuk Meningkatkan Kemandirian Belajar Siswa pada Materi Fungsi Kuadrat

2026-10-01T10:24:31+01:00

Twenty-first-century learning requires students to develop independent learning skills and effectively utilize technology as a learning resource. In learning quadratic functions, students often experience difficulties in understanding the relationship between algebraic forms and graphical representations. Therefore, a learning medium that supports concept visualization and independent learning is needed. This study aimed to develop an interactive website with a coefficient randomization feature that meets the criteria of feasibility and practicality while supporting students' independent learning in quadratic function learning. This study employed a Research and Development (R&D) approach using the 4D model, which consists of the Define, Design, Develop, and Disseminate stages. The research subjects included expert validators, a mathematics teacher, eleventh-grade students as respondents for the media practicality test, and class X-H students of MAN 1 Mataram as the implementation subjects. The research instruments consisted of a media feasibility assessment sheet, a media practicality questionnaire, and a students' independent learning questionnaire. Data were analyzed using descriptive quantitative analysis. The results showed that the developed website achieved a feasibility score of 97.71% (very feasible), a practicality score of 93.53% (very practical), and an increase in students' independent learning from 64.69% to 88.67%. Therefore, the interactive website with a coefficient randomization feature met the criteria of being highly feasible and highly practical and can be used as a learning medium to support students' independent learning in quadratic function learning.

Efektivitas faded example dalam pembelajaran fungsi kuadrat ditinjau dari hasil belajar dan cognitive load

2026-10-01T10:24:18+01:00

Penelitian ini memiliki tujuan untuk menguji dan mendeskripsikan efektivitas faded example bila dibandingkan dengan konvesional dalam pembelajaran fungsi kuadrat ditinjau dari hasil belajar dan cognitive load. Jenis penelitian ini adalah penelitian eksperimen dengan desain Quasi Exsperimental Design (eksperimen semu) dan bentuk Post-test Only Control Design. Sampel pada penelitian ini terbagi dalam dua kelompok yaitu: (1) Kelompok faded example dan (2) Kelompok konvensional. Setiap kelompok dikenakan treatment sesuai jenis kelompok dan post-test pada akhir pembelajaran. TeknPenelitian ini memiliki tujuan untuk menguji dan mendeskripsikan efektivitas faded example bila dibandingkan dengan konvesional dalam pembelajaran fungsi kuadrat ditinjau dari hasil belajar dan cognitive load. Jenis penelitian ini adalah penelitian eksperimen dengan desain Quasi Exsperimental Design (eksperimen semu) dan bentuk Post-test Only Control Design. Sampel pada penelitian ini terbagi dalam dua kelompok yaitu: (1) Kelompok faded example dan (2) Kelompok konvensional. Setiap kelompok dikenakan treatment sesuai jenis kelompok dan post-test pada akhir pembelajaran. Teknik analisis data yang digunakan adalah Independent Means T-Test dengan berbantuan SPSS 25. Hasil penelitian menunjukkan bahwa peserta didik yang belajar dengan teknik penyajian faded example memberikan nilai hasil belajar dengan rata-rata yang lebih baik dibandingkan dengan peserta didik yang belajar dengan teknik penyajian konvensional yang rata-rata dengan nilai Sig. (2-tailed) , namun rata-rata hasil belajar tidak meningkat secara signifikan dan hasil tersebut menggambarkan nilai effect size yang kecil (). Hasil rata-rata cognitive load peserta didik yang belajar dengan teknik penyajian faded example pada fase belajar maupun post-test memberikan rata-rata yang lebih rendah dibandingkan dengan peserta didik yang belajar dengan teknik penyajian konvensional dan rata-rata hasil cognitive load menurun secara signifikan dengan menggambarkan nilai effect size pada fase belajar sedang adalah dan pada fase post-test besar adalah .ik analisis data yang digunakan adalah Independent Means T-Test dengan berbantuan SPSS 25. Hasil penelitian menunjukkan bahwa peserta didik yang belajar dengan teknik penyajian faded example memberikan nilai hasil belajar dengan rata-rata yang lebih baik dibandingkan dengan peserta didik yang belajar dengan teknik penyajian konvensional yang rata-rata dengan nilai Sig. (2-tailed) , namun rata-rata hasil belajar tidak meningkat secara signifikan dan hasil tersebut menggambarkan nilai effect size yang kecil (). Hasil rata-rata cognitive load peserta didik yang belajar dengan teknik penyajian faded example pada fase belajar maupun post-test memberikan rata-rata yang lebih rendah dibandingkan dengan peserta didik yang belajar dengan teknik penyajian konvensional dan rata-rata hasil cognitive load menurun secara signifikan dengan menggambarkan nilai effect size pada fase belajar sedang adalah dan pada fase post-test besar adalah .

Efektivitas Model Challenge Based Learning terhadap Kemampuan Pemecahan Masalah Matematis berdasarkan Keyakinan Matematis Siswa

2026-10-01T10:24:05+01:00

Kemampuan menyelesaikan masalah pada matematika adalah suatu kompentensi yang harus dicapai oleh peserta didik. Pencapaian kompetensi tersebut dipengaruhi oleh model pembelajaran yang diterapkan serta keyakinan atau pandangan siswa terhadap matematika. Tujuan penelitian untuk melihat efektivitas model Challenge Based Learning terhadap kemampuan pemecahan masalah matematis berdasarkan tingkat keyakinan matematis siswa SMA Negeri 1 Batang. Penelitian dirancang sebagai penelitian kuantitatif dengan menerapkan metode quasi experiment. Sebanyak 72 siswa kelas X dilibatkan sebagai partisipan penelitian dan dikelompokkan ke dalam dua kelas, yaitu kelas eksperimen yang memperoleh perlakuan menggunakan model Challenge Based Learning serta kelas kontrol yang mengikuti model pembelajaran konvensional. Pengumpulan data dilakukan melalui tes kemampuan pemecahan masalah matematis serta angket keyakinan matematis. Data dianalisis menggunakan ANOVA dua jalan. Hasil analisis menunjukkan bahwa siswa yang mengikuti pembelajaran menggunakan model Challenge Based Learning memperoleh kemampuan pemecahan masalah matematis yang lebih tinggi dibandingkan siswa yang belajar melalui model pembelajaran konvensional. Selain itu, keyakinan matematis memberikan pengaruh yang signifikan terhadap kemampuan pemecahan masalah matematis. Analisis juga menunjukkan adanya interaksi antara model pembelajaran dan tingkat keyakinan matematis dalam memengaruhi kemampuan tersebut. Temuan ini mengindikasikan bahwa penerapan model Challenge Based Learning dapat menjadi alternatif pembelajaran yang efektif untuk melatih kemampuan pemecahan masalah matematis dengan tetap memperhatikan karakteristik keyakinan matematis siswa

Dialekta Formalisme Dan Konstruktivisme Dalam Pendidikan Matematika Sebagai Landasan Pembelajaran Modren

2026-10-01T10:23:52+01:00

Abstract

A This study aims to examine the dialectics of formalism and constructivism in mathematics education as a foundation for modern learning. The research employed a literature review method with a qualitative descriptive approach by analyzing relevant scholarly sources. The findings indicate that formalism emphasizes mathematics as a formal system based on logic, axioms, symbols, and mathematical proofs, while constructivism views knowledge as actively constructed by learners through learning experiences. Although these approaches differ fundamentally, they can complement each other in mathematics education. Their integration creates a balance between conceptual understanding and procedural accuracy, which aligns with the demands of 21st-century learning. Therefore, the dialectics of formalism and constructivism can serve as a philosophical foundation for developing effective, meaningful, and relevant mathematics learning in modern education.

Keywords: formalism 1; contructivism 2; mathematics education 3; mathematics learning 4; 21^st-century learning 5

Abstrak

Penelitian ini bertujuan untuk mengkaji dialektika formalisme dan konstruktivisme dalam pendidikan matematika sebagai landasan pembelajaran modern. Metode yang digunakan adalah literature review dengan pendekatan deskriptif kualitatif melalui analisis berbagai sumber literatur yang relevan. Hasil kajian menunjukkan bahwa formalisme menekankan matematika sebagai sistem formal yang berlandaskan logika, aksioma, simbol, dan pembuktian matematis, sedangkan konstruktivisme memandang pengetahuan sebagai hasil konstruksi peserta didik melalui pengalaman belajar. Meskipun memiliki perbedaan mendasar, kedua pendekatan tersebut dapat saling melengkapi dalam pembelajaran matematika. Integrasi formalisme dan konstruktivisme memungkinkan terciptanya keseimbangan antara pemahaman konsep dan ketepatan prosedur matematis yang sesuai dengan tuntutan pembelajaran abad ke-21. Oleh karena itu, dialektika kedua pendekatan tersebut dapat menjadi landasan filosofis dalam mewujudkan pembelajaran matematika yang efektif, bermakna, dan relevan dengan kebutuhan pendidikan modern.

Kata Kunci: formalisme 1; kontruktivisme 2; pendidikan matematika 3; pembelajaran moderen 4; pembelajaran abad ke-21 5

Analisis Kemampuan Berpikir Kritis Matematis Ditinjau dari Gaya Belajar Siswa Kelas VIII SMP Negeri 3 Mataram

2026-10-01T10:23:39+01:00

Kemampuan berpikir kritis matematis merupakan salah satu kompetensi penting yang perlu dimiliki siswa dalam pembelajaran matematika. Namun, kemampuan tersebut masih menunjukkan perbedaan pada setiap siswa yang diduga dipengaruhi oleh karakteristik gaya belajar. Penelitian ini bertujuan mendeskripsikan kemampuan berpikir kritis matematis siswa ditinjau dari gaya belajar visual, auditori, dan kinestetik pada materi Teorema Pythagoras. Penelitian ini menggunakan pendekatan kualitatif dengan jenis penelitian deskriptif. Subjek penelitian adalah siswa kelas VIII.1 SMP Negeri 3 Mataram Tahun Pelajaran 2025/2026 yang dipilih menggunakan teknik purposive sampling. Data dikumpulkan melalui angket gaya belajar, tes kemampuan berpikir kritis matematis berdasarkan indikator FRISCO, dan wawancara. Analisis data dilakukan melalui reduksi data, penyajian data, penarikan kesimpulan, serta triangulasi teknik untuk menjamin keabsahan data. Hasil penelitian menunjukkan bahwa siswa dengan gaya belajar visual memiliki kemampuan berpikir kritis matematis yang lebih baik dibandingkan siswa dengan gaya belajar auditori dan kinestetik. Siswa visual mampu memenuhi sebagian besar indikator FRISCO secara konsisten, sedangkan siswa auditori dan kinestetik masih mengalami kesulitan terutama pada indikator Overview. Dengan demikian, gaya belajar memberikan gambaran terhadap perbedaan kemampuan berpikir kritis matematis siswa sehingga perlu dipertimbangkan dalam perancangan pembelajaran matematika.

Konstruksi Pengetahuan Matematika Dalam Kearifan Lokal: Tinjauan Epistemologi

2026-10-01T10:28:47+01:00

Artikel ini menganalisis konstruksi pengetahuan matematika dalam kearifan lokal Indonesia melalui perspektif epistemologis. Matematika cenderung dianggap sebagai ilmu formal yang terpisah dari kehidupan sehari-hari, padahal masyarakat adat Indonesia telah lama mempraktikkan konsep-konsep matematis dalam arsitektur, motif tekstil, dan sistem penanggalan tradisional. Melalui kajian pustaka sistematis dengan pendekatan etnomatematika, penelitian ini mengungkapkan tiga dimensi epistemologis utama: (1) sumber pengetahuan matematika lokal berasal dari pengalaman empiris dan interaksi dengan alam; (2) metode justifikasi kebenaran bersifat pragmatis, yakni suatu konsep dianggap benar jika terbukti fungsional dalam kehidupan nyata; dan (3) masyarakat adat memiliki logika internal yang khas tanpa bergantung pada simbolisme formal. Hal ini membuktikan bahwa matematika kearifan lokal merupakan sistem pengetahuan yang berpotensi menjadi jembatan menuju pembelajaran matematika yang lebih inklusif dan berbasis budaya.

Pengaruh Penerapan Pendekatan Pembelajaran CTL Berbantuan Alat Peraga Terhadap Kemampuan Pemecahan Masalah Matematis

2026-10-01T10:28:34+01:00

Kemampuan pemecahan masalah matematis merupakan salah satu aspek penting dalam pembelajaran matematika, namun masih menjadi permasalahan karena siswa mengalami kesulitan dalam memahami soal kontekstual, menentukan strategi penyelesaian, dan menghubungkan informasi dengan konsep matematika yang tepat. Penelitian ini bertujuan untuk mengetahui pengaruh penerapan pendekatan Contextual Teaching and Learning (CTL) berbantuan alat peraga terhadap kemampuan pemecahan masalah matematis siswa kelas VIII MTs Putri Al-Islahuddiny. Penelitian menggunakan pendekatan kuantitatif dengan metode kuasi eksperimen dan desain pretest-posttest control group design. Populasi penelitian meliputi seluruh siswa kelas VIII MTs Putri Al-Islahuddiny. Sampel dipilih menggunakan teknik random sampling yang terdiri atas satu kelas eksperimen dan satu kelas kontrol. Data dikumpulkan melalui tes uraian, sedangkan analisis data meliputi uji prasyarat, uji hipotesis menggunakan uji t, dan analisis effect size. Hasil penelitian menunjukkan bahwa kemampuan pemecahan masalah matematis siswa yang belajar dengan pendekatan CTL berbantuan alat peraga lebih baik dibandingkan siswa yang mengikuti pembelajaran langsung. Dengan demikian, penerapan pendekatan CTL berbantuan alat peraga berpengaruh positif terhadap kemampuan pemecahan masalah matematis siswa kelas VIII MTs Putri Al-Islahuddiny.

Efektivitas Media Geonun Troso Berbasis Project Based Learning terhadap Pemahaman Konsep Bangun Datar

2026-10-01T10:28:21+01:00

Abstract

Understanding geometric concepts is one of the important abilities in elementary school mathematics learning. However, third-grade students at SD 3 Buwaran still experience difficulties in understanding geometric concepts due to learning processes that are still dominated by conventional methods and limited use of learning media. This study aims to determine the improvement of students’ mathematical concept understanding through the use of Geonun Troso media based on Project Based Learning with an ethnomathematical approach. This research employed a quantitative method with a One Group Pretest-Posttest Design involving 24 third-grade students at SD 3 Buwaran. The data were analyzed using normality tests, Paired Sample T-Test, and N-Gain analysis. The results showed an increase in students’ average scores from 59.17 in the pretest to 82.71 in the posttest, with an improvement of 23.54 points. The Paired Sample T-Test result showed a significance value of 0.000 < 0.05, indicating a significant difference between the pretest and posttest results. Furthermore, the N-Gain test obtained an average score of 0.62, categorized as moderate, with an improvement percentage of 62.64%. Based on these results, it can be concluded that Geonun Troso media based on Project Based Learning is effective in improving students’ understanding of geometric concepts through learning that is more contextual, active and meaningful.

Pengembangan E-LKPD Bermuatan Etnomatematika Pada Materi Garis dan Sudut Untuk Meningkatkan Kemampuan Representasi Matematis Siswa MTsN 1 Mataram Tahun Ajaran 2025/2026

2026-10-01T10:28:07+01:00

Kemampuan representasi matematis merupakan salah satu kemampuan penting dalam pembelajaran matematika, namun masih ditemukan siswa yang mengalami kesulitan dalam merepresentasikan ide matematis secara visual, simbolik, dan verbal. Penelitian ini bertujuan untuk mengembangkan E-LKPD bermuatan etnomatematika pada materi garis dan sudut untuk meningkatkan kemampuan representasi matematis siswa kelas VII MTsN 1 Mataram. Penelitian ini merupakan penelitian pengembangan dengan model ADDIE yang meliputi tahap analisis, desain, pengembangan, implementasi, dan evaluasi. Subjek penelitian terdiri atas 36 siswa kelas VII MTsN 1 Mataram. Data diperoleh melalui lembar validasi, angket respons guru dan siswa, serta tes berupa pretest dan posttest. Hasil penelitian menunjukkan bahwa E-LKPD memperoleh nilai validasi ahli materi sebesar 0,883 dan ahli media sebesar 0,944 dengan kategori sangat valid. Kepraktisan berdasarkan respons guru sebesar 87,5% dan siswa sebesar 94,67%, keduanya berkategori sangat praktis. Rata-rata nilai pretest sebesar 42,35 meningkat menjadi 83,32 pada posttest dengan nilai N-Gain sebesar 0,71 berkategori tinggi. Dengan demikian, E-LKPD bermuatan etnomatematika dinyatakan valid, praktis, dan efektif serta dapat meningkatkan kemampuan representasi matematis siswa sekaligus mendukung pengenalan budaya lokal melalui motif kain tenun Sukarara.

Analisis Kebutuhan Pengembangan Video Pembelajaran SIBI untuk Kemampuan Konsep Matematis Peserta Didik Tunarungu

2026-10-01T10:27:54+01:00

Penelitian ini bertujuan untuk menganalisis kebutuhan pengembangan video pembelajaran SIBI (Sistem Isyarat Bahasa Indonesia) untuk melatih kemampuan pemahaman konsep matematis peserta didik tunarungu di SLB Mutiara Kasih Sungayang. Kemampuan pemahaman konsep matematis mengacu pada kapasitas siswa untuk mengintegrasikan pengetahuan, menggunakannya secara tepat dalam berbagai situasi, dan menyelesaikan persoalan yang menuntut penerapan konsep yang dikuasai. Peserta didik tunarungu menghadapi tantangan unik dalam pembelajaran matematika karena keterbatasan akses terhadap informasi auditori yang sering menjadi sarana utama penyampaian konsep abstrak. Penelitian menggunakan metode studi kasus dengan pendekatan kualitatif melalui wawancara semi-terstruktur dengan guru dan observasi proses pembelajaran di kelas. Hasil analisis pendahuluan menunjukkan bahwa kemampuan pemahaman konsep matematis peserta didik tunarungu perlu dilatih lebih optimal. Guru mengakui keterbatasan media yang tersedia dan kesulitan menyampaikan materi abstrak tanpa visualisasi yang kuat. Peserta didik juga mengungkapkan keinginan belajar menggunakan media yang lebih menarik seperti video. Solusi yang sesuai dengan kebutuhan tersebut adalah pengembangan video pembelajaran SIBI yang dapat memvisualisasikan konsep abstrak matematika melalui bahasa isyarat terstruktur. Penelitian lanjutan direkomendasikan untuk menguji validitas, kepraktisan, dan efektivitas video pembelajaran SIBI yang dikembangkan.

Pengaruh Model RME Dengan Strategi Worked Example terhadap kelancaran prosedural dan kemampuan berpikir kreatif

2026-10-01T10:23:26+01:00

Abstrak

Kelancaran prosedural matematis dan kemampuan berpikir kreatif merupakan kompetensi penting dalam pembelajaran matematika. Namun, pembelajaran yang masih berpusat pada guru dapat menyebabkan siswa cenderung menghafal prosedur tanpa memahami konsep dan kurang memperoleh kesempatan untuk mengembangkan strategi penyelesaian yang beragam. Penelitian ini bertujuan untuk mengetahui pengaruh model Realistic Mathematics Education (RME) dengan strategi Worked Example terhadap kelancaran prosedural matematis dan kemampuan berpikir kreatif siswa kelas XI SMK Medika Pekalongan pada materi matriks. Penelitian ini menggunakan pendekatan kuantitatif dengan metode quasi experiment dan Nonequivalent Posttest-Only Control Group Design. Sampel penelitian terdiri atas 32 siswa kelas XI TLM sebagai kelas eksperimen dan 31 siswa kelas XI FKK sebagai kelas kontrol yang dipilih menggunakan teknik cluster random sampling. Data dikumpulkan melalui tes uraian dan dianalisis menggunakan uji Hotelling’s Trace serta uji lanjut Independent Samples t-test. Hasil penelitian menunjukkan terdapat perbedaan yang signifikan secara simultan antara kelancaran prosedural matematis dan kemampuan berpikir kreatif siswa pada kelas eksperimen dan kelas kontrol dengan nilai signifikansi 0,024. Secara parsial, terdapat perbedaan signifikan pada kelancaran prosedural matematis (Sig. 0,046) dan kemampuan berpikir kreatif (Sig. 0,037). Rata-rata kelancaran prosedural kelas eksperimen lebih tinggi, sedangkan rata-rata kemampuan berpikir kreatif kelas kontrol lebih tinggi. Dengan demikian, penerapan RME dengan strategi Worked Example memberikan perbedaan pada kedua kemampuan matematis yang diteliti, dengan pengaruh yang lebih positif terhadap kelancaran prosedural.

Abstract

Mathematical procedural fluency and creative thinking skills are crucial competencies in mathematics education. However, teacher-centered instruction often leads students to memorize procedures without grasping the underlying concepts, limiting opportunities to develop diverse problem-solving strategies. This study aimed to determine the impact of the Realistic Mathematics Education (RME) model combined with the Worked Example strategy on the mathematical procedural fluency and creative thinking skills of 11th-grade students at SMK Medika Pekalongan regarding the topic of matrices. A quantitative approach was employed using a quasi-experimental method with a Nonequivalent Posttest-Only Control Group Design. The sample consisted of 32 students from class XI TLM (experimental group) and 31 students from class XI FKK (control group), selected via cluster random sampling. Data were collected through essay tests and analyzed using Hotelling’s Trace and follow-up Independent Samples t-tests. The results revealed a significant simultaneous difference in mathematical procedural fluency and creative thinking skills between the experimental and control groups (significance value of 0.024). Partial analysis showed significant differences in both mathematical procedural fluency (Sig. 0.046) and creative thinking skills (Sig. 0.037). The experimental group demonstrated higher average mathematical procedural fluency, whereas the control group showed higher average creative thinking skills. Thus, the implementation of RME with the Worked Example strategy resulted in differences regarding the two mathematical abilities studied, exerting a more positive influence on mathematical procedural fluency.

Analisis Dinamik Model Matematika Belanja Online Orde Fraksional

2026-10-01T10:23:13+01:00

The growth of online shopping is strongly influenced by information dissemination within society; however, its dynamic behavior has not been fully explored using mathematical approaches. This study aims to analyze the dynamics of online shopping by developing a fractional-order mathematical model that describes the interaction between non-online buyers, online buyers, and information density. The research method employs a literature study and mathematical modeling approach, followed by equilibrium stability analysis and numerical simulations for various fractional orders and information-related parameters. The results indicate the existence of two stable conditions, namely the online shopping-free equilibrium and the endemic online shopping equilibrium. The fractional order significantly affects the speed at which the system reaches equilibrium, while the balance between information generation and decay rates determines the long-term sustainability of online shopping. These findings highlight the crucial role of information in shaping and maintaining online shopping behavior in society.

Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP Ditinjau dari Keyakinan Diri pada Materi Peluang

2026-10-01T15:31:11+01:00

Mathematical problem-solving ability is one of the essential competencies that students need to develop. However, students’ mathematical problem-solving ability remains relatively low, particularly in probability topics. One factor that is assumed to influence this ability is students’ self-efficacy. This study aimed to analyze students’ mathematical problem-solving ability based on their levels of self-efficacy in probability material. This study employed a descriptive qualitative approach involving 25 ninth-grade students at SMP Islam Karawang. The research instruments consisted of a self-efficacy questionnaire and a mathematical problem-solving test comprising three essay questions. The results showed that 4 students had high self-efficacy, 18 had moderate self-efficacy, and 3 had low self-efficacy. The analysis revealed that students across all three self-efficacy categories had not yet optimally fulfilled all indicators of mathematical problem-solving ability. Nevertheless, students with high self-efficacy demonstrated relatively better problem-solving ability than students with moderate and low self-efficacy. These findings indicate that self-efficacy plays a role in supporting students’ mathematical problem-solving ability, but it is not the only factor determining students’ success in solving mathematical problems.

Analisis Epistemological Obstacle Berdasarkan Kesalahan Menyelesaikan Soal Matematika Materi Eksponen Dan Logaritma

2026-10-01T15:46:22+01:00

This study aimed to analyze and describe students' epistemological obstacles based on the errors they made in solving mathematics problems on exponents and logarithms among tenth-grade students at MA Negeri 2 Mataram in the 2025/2026 academic year. This study employed a qualitative descriptive research method. Data were collected through a mathematics test, an epistemological obstacle questionnaire, and interviews. The research subjects were selected using purposive sampling. The participants consisted of 31 students from Class X-3 who completed a mathematics test consisting of three essay questions and an epistemological obstacle questionnaire comprising 26 statements. In addition, interviews were conducted with six selected students, representing two students from each error category (high, moderate, and low). The results showed that students in the high-error category experienced conceptual epistemological obstacles at 92.31% (high), procedural epistemological obstacles at 100% (high), and operational technique epistemological obstacles at 97.44% (high). Students in the medium-error category experienced conceptual epistemological obstacles at 60% (medium), procedural epistemological obstacles at 60% (medium), and operational technique epistemological obstacles at 47% (medium). Meanwhile, students in the low-error category experienced conceptual epistemological obstacles at 15.38% (low), procedural epistemological obstacles at 28% (low), and operational technique epistemological obstacles at 23.08% (low).

Peningkatan Pemahaman Konsep Matematis Melalui Metode KWL Berbantuan Media Tree Talk Berbasis Steam pada Materi Bangun Datar

2026-10-01T16:14:21+01:00

geometry due to teacher-centered learning, which limited students' understanding of sides, angles, and the properties of plane figures. The study aimed to improve students' mathematical conceptual understanding through the implementation of the Know Want Learn (KWL) method assisted by Tree Talk media with the STEAM approach. This Classroom Action Research (CAR) was conducted in two cycles involving 21 third-grade students of SDN Karanganyar 2 Demak. Each cycle consisted of planning, action, observation, and reflection. Data were collected through tests, observations, interviews, and documentation and analyzed using qualitative and quantitative techniques. The results showed that learning mastery increased from 71.4% in Cycle I to 100% in Cycle II, while the average score improved from 70.5 to 95. Students' learning activities also increased from 70% to 92%, and teachers' instructional management skills improved from 80% to 95%. These findings indicate that the Know Want Learn (KWL) method assisted by Tree Talk media with the STEAM approach effectively improved students' mathematical conceptual understanding, learning activities, and teachers' instructional skills in learning plane geometry.

Pengaruh Model Discovery Learning Berbantuan Animasi Canva terhadap Kemampuan Berpikir Spasial Matematis Siswa SMA

2026-10-05T07:52:40+01:00

Penelitian ini bertujuan untuk mengetahui pengaruh model Discovery Learning berbantuan multimedia animasi berbasis Canva terhadap kemampuan berpikir spasial matematis siswa pada materi perbandingan trigonometri segitiga siku-siku. Metode yang digunakan adalah kuantitatif eksperimen dengan desain nonequivalent control group, melibatkan dua kelas X SMA Negeri 1 Bojong yang dipilih melalui teknik cluster random sampling, masing-masing berjumlah 36 siswa. Kelas eksperimen memperoleh pembelajaran model Discovery Learning berbantuan multimedia animasi berbasis Canva, sedangkan kelas kontrol memperoleh pembelajaran konvensional. Data dikumpulkan melalui pretest dan posttest yang mengukur tiga indikator kemampuan berpikir spasial matematis, yaitu visualisasi, penalaran, dan komunikasi. Uji prasyarat menunjukkan bahwa data pretest dan posttest kedua kelas berdistribusi normal dan homogen. Hasil pengujian hipotesis menunjukkan bahwa 88,89% siswa kelas eksperimen mencapai Kriteria Ketuntasan Minimal, melampaui kriteria ketuntasan klasikal sebesar 75%, serta rata-rata nilai posttest kelas eksperimen (81,78) secara signifikan lebih tinggi dibandingkan kelas kontrol (68,42). Temuan ini menunjukkan bahwa pembelajaran model Discovery Learning berbantuan multimedia animasi berbasis Canva efektif meningkatkan kemampuan berpikir spasial matematis siswa dan mencapai ketuntasan belajar secara klasikal pada materi perbandingan trigonometri segitiga siku-siku.