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All Journal Journal of Mathematics and Mathematics Education (JMME) Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika
Hayati, Istifada Nurul
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Education Mathematics

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Analisis Klaster dan Prediksi Dinamika Produksi Padi Sawah menggunakan K-Means dan Adams-Bashforth-Moulton di Kabupaten Banyumas Wisnu; Winarni, Ambar; Hayati, Istifada Nurul
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2026): Volume 9 Nomor 1 Tahun 2026
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i1.8065

Abstract

This study aims to classify rice-farming areas in Banyumas Regency based on differences in rice production characteristics between regions that have the potential to influence rice production planning and distribution. This study was conducted to support food security in line with Indonesia's national development vision for 2045. The data used included rice production volume and rice field area. Cluster analysis was performed using the K-Means method with the determination of the optimal number of clusters through the Elbow method, resulting in three regional clusters, namely low, medium, and high rice production clusters, which reflect the differences in rice production characteristics between subdistricts in Banyumas Regency. Rice production dynamics were modeled using the Verhulst growth model, which was solved numerically using the fourth-order Runge Kutta method, followed by the Adams-Bashforth-Moulton method to predict rice production. Predictions were made for 2025, 2030, and 2045 to illustrate rice production trends over several time periods. The main analysis of this study focused on the period up to 2030 because the model did not include several important external factors that could potentially affect rice production in the long term. The error analysis results showed that the error values in the predictions for the 2025 and 2030 periods were relatively small, indicating that the model was able to represent rice production dynamics well during those periods. Predictions up to 2045 are presented as a mathematical illustration of long-term trends and are not used as the main basis for error evaluation or drawing conclusions. The results of this study are expected to be used as preliminary considerations for local governments in formulating rice production plans, taking into account the different characteristics of regional clusters and the predicted rice production in Banyumas Regency.
ANALISIS KESULITAN SISWA SMA NEGERI 1 KEDUNGWUNI MATERI LOGARITMA Hayati, Istifada Nurul; Budiyono, Budiyono
Journal of Mathematics and Mathematics Education Vol 8, No 2 (2018): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v8i2.25844

Abstract

Abstract:During the process of mathematics learning, problem solving is one of the important factors in influencing the success of mathematics learning. The objective of this study is determining students’ difficulties in understanding logarithm functions. It is also intended to find out alternative solutions in overcoming the problems. The form of this research is a qualitative descriptive study using Spradley model data analysis through research procedures from Sudjana publication book. Based on preliminary observations, students’ mathematics problem solving skill at SMAN 1 KEDUNGWUNI has various ways. The number of students of class X MIPA 3 SMAN 1 Kedungwuni 1 is 32 students. 25% of students have high problem-solving skill, whereas 75% have low problem-solving skill. The cause of the problem is derived from teachers, students, and learning tools. Students’ mistakes in solving some tasks related to logarithm functions material become obstacles in the next learning process. The written test analysis results and interviews results of students regarding their difficulties in solving logarithm function include: students tend to have low understanding related to initial concepts of logarithm functions, students have difficulty in understanding the application of logarithm functions, and they find a difficulty in applying it into task in the form of story. Alternative solutions that can be implemented to deal with these problems are building the concept of logarithm functions from the previous chapter, namely root and exponent, emphasizing the concept of logarithm functions by giving related tasks, and practicing more tasks about logarithm functions.Keywords:Analysis, Mathematics, Logarithms, Roots, Exponents.
Co-Authors Ambar Winarni Budiyono Budiyono WISNU