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Pemanfaatan Python dalam Penyelesaian SPL dengan Metode Iterasi Jacobi dan Gauss-Seidel Ardhani, Dhea Chlarista; Solikah, Nur Hidayati; wibowo, ari
J-PiMat : Jurnal Pendidikan Matematika Vol 7, No 1 (2025): J-PiMat
Publisher : Prodi Pendidikan Matematika STKIP Persada Khatu;istiwa Sintang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31932/j-pimat.v7i1.4665

Abstract

Penelitian ini bertujuan untuk menyelesaikan sistem persamaan linier menggunakan metode iterasi Jacobi dan Gauss-Seidel yang diimplementasikan dalam Python. Studi dimulai dengan tinjauan pustaka untuk memperdalam pemahaman terkait kedua metode. Algoritma untuk masing-masing metode dikembangkan dan diterapkan pada sistem persamaan linier yang telah ditentukan untuk mengamati proses iterasi dan konvergensi. Hasil penelitian menunjukkan bahwa permasalahan sistem persamaan linier dapat diselesaikan menggunakan metode iterasi jacobi dan iterasi gauss-seidel. Analisis galat menunjukkan bahwa metode gauss seidel menghasilkan hasil yang lebih presisi dibandingkan metode iterasi jacobi. Metode gauss-seidel juga membutuhkan Langkah pengerjaan yang lebih sedikit.Kata Kunci: Iterasi Jacobi, Iterasi Gauss-Seidel, Sistem Linier, Python, Metode Numerik.
Correlation of Self-Regulated Learning and Students' Ability to Solve Mathematical Problems in Algebraic Topics Solikah, Nur Hidayati; Astuti, Wiwin
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.4475

Abstract

This study was designed to examine the relationship between self-regulated learning and students’ mathematical problem-solving ability among grade VII students at SMP Negeri 9 Surakarta in the 2025/2026 academic year. A quantitative approach with a correlational design was employed. The participants consisted of 89 students selected using cluster random sampling. Data were collected using a mathematical problem-solving test and a self-regulated learning questionnaire. The data were analyzed using descriptive statistics, including mean, median, mode, and standard deviation, followed by assumption testing through normality and linearity tests. Hypothesis testing was conducted using simple correlation and simple linear regression analysis. The analysis satisfied the required assumptions and revealed a positive relationship between self-regulated learning and mathematical problem-solving ability. The results of the simple linear regression analysis indicated that self-regulated learning contributed significantly to students’ problem-solving ability, with a significance value of 0.031 and a regression coefficient of 0.408. These findings indicate that students with stronger self-regulated learning skills tend to demonstrate higher effectiveness in solving mathematical problems. The contribution of this study lies in its specific focus on algebraic problem-solving, an area that has received limited empirical attention in relation to self-regulated learning at the junior high school level.