Analysis of Grade X Students' Errors in Solving Linear Programming Problems Using K-Means Clustering

Rifana Arthaningrum, Otong Suhyanto, Khairunnisa Khairunnisa

Abstract


This research aims to analyze the errors of grade X in solving linear programming problems, knowing the clusters formed based on the errors made by students, knowing the errors that dominate in each cluster, and knowing the most significant types of errors in distinguishing each cluster that is formed. This research was carried out at State High School 9 Jakarta in 2023/2024 academic year. This research uses a quantitative approach involving 216 students in grade X. This research uses Newman’s Error Analysis procedure to analyze the types of errors, namely Reading Error, Comprehension Error, Transformation Error, Process Skill Error, and Encoding Error. Data collection was carried out using a test in the form of description. The results of this research revealed that no student has been able to solve the linear programming problems without making errors. Students are grouped into 2 clusters based on the error score possessed on each type of error using K-Means Clustering method. The cluster results showed that 177 students were in cluster 1 with a high error rate category, and 39 students were in cluster 2 with a low error rate category. The types of errors that contribute the most in distinguished cluster 1 from cluster 2 consecutively are encoding error, process skill error, comprehension error, transformation error, and reading error. Based on the results of the research, it can be concluded that most of students have a high error rate. This shows that there are indications that most of students still do not understand the linear programming material well.

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References


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