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Journal : Indonesian Journal of Applied Mathematics and Statistics

K-Means Clustering for the Relationship Between Mathematical Problem Solving Ability and Mathematical Communication Ability Dermawan, Rendi; Hidayat, Dayat
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 2 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i2.27

Abstract

The purpose of this research is to examine the relation between mathematical problem-solving ability and mathematical communication ability by applying k-means clustering in grouping students. This research uses a quantitative approach with a correlational research method. The population of this research is the eighth-grade students of SMP Negeri 3 Purwakarta, with a total of 355 students. The sampling technique uses simple random sampling and is calculated using the Slovin formula, so the total sample is 79 students. The instrument used in this research is a subjective test in the form of questions of mathematical problem-solving ability and mathematical communication ability. The data analysis technique in this research is k-means clustering to group the data and correlation hypothesis test. The results show that  37 students fall into Cluster 1 (high-ability), 28 students into Cluster 2 (medium-ability), and 14 students into Cluster 3 (low-ability). In all samples and cluster 1, it is stated that at the 95% confidence level there is a significant relationship between mathematical problem-solving ability and mathematical communication ability. However, in all samples, it shows a weak relationship and the contribution of mathematical problem-solving ability to mathematical communication ability is 9.22%, and vice versa. While in Cluster 1, it shows a medium relationship and the contribution of mathematical problem-solving ability to mathematical communication ability is 31.2%, and vice versa. In Cluster 2 and Cluster 3, the analysis indicates that although there is a relationship at the 95% confidence level, it is not statistically significant.
Co-Authors Abdul Muis Agung Prasetyo Abadi Ahmad Syahid Ahmad Syahid Al Habsyi, Jihan Fahira Ali, Faisal AMINUDIN, RIZKI Anas Muthtar Anas Muthtar Anisa Permata Zaeni Anjani, Putry Anugrah, Despiantini Ari Usman, Ari Asyipa, Gita Dadang Danugiri Danugiri, Dadang Darmawan, Muhammad Reihan dermawan, Rendi Dewi, Tiara Rahma Putri Kusuma Dini Kinati Fardah Dwita Sulistiani Cahya Sulistiani El Milla, Yulia Izza Evangelista Lus Windyana Palupi Harahap, Cindy Angelina Harahap, Farelsada Athaya Hardi, Mukhyar Hoerniasih, Nia Imamil, Denis Isrod, Aulia Labora, Elizabeth Lesi Oktiwanti Lestari, Shella Indah Margaretha, Ningrat Delvia Maulana, Syahrul Maulani, Silvia Fajar Meilya, Ika Rizqi Mita Dwi Alviani Mitsuru, Takahashi Muhammad Taufiqurrahman, Muhammad Musa, Saifuri Musa, Syafiri Mutaqin, Aip Zaenal Muthowi, Agam Nurfaedah Nurfaedah, Nurfaedah Nurhafizh, Imam Nurhayati Nurhayati Nurmala Ayu Agistia Nurpauzi, Ahmad Oktiwanti, Lesi Palupi, Evangelista L W Pratiwi, Arofa Anggun Rafli Anshori Farhan Rini Setianingsih Robby, Hasbi Maulana Sa'adah, Neneng Ulfah Safuri Musa Salim, Robbi Dwi Saputra Salmah, Jinan Ummu Salmiah, Angel Intan Sancoko, Candra Santika, Tika Saputra, Dean Sari, Sri Mila Sasikirana, Raissa Ageng Setiadi Ramdani Silegar, Ramdani Sugandi, Oktavia Wahyu Suminar, Uum Sungkono, Sumiati Susanah Susanah Sutarjo Sutarjo Sutarjo Tika Istigfarin Tika Santika Ulan Sari Wienike Dinar Pratiwi Wike Asrianti Prayitno Winarsih Winarsih Yanti Shantini, Yanti yogi setia samsi, yogi setia Yousef Bani Ahmad Yulia Kusumawati