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All Journal Jurnal Gantang el-Khuwailid: Journal of Multidisciplinary Studies
Susanti, Wiwit
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Arts Humanities Education Mathematics Social Sciences

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Analisis Kesalahan Siswa Madrasah Aliyah dalam Menyelesaikan Soal Materi Eksponen Berdasarkan Prosedur Kastolan Susanti, Wiwit; Kartini, Kartini
el-Khuwailid: Journal of Multidisciplinary Studies Vol. 1 No. 1 (2025): el-Khuwailid, March 2025
Publisher : MAN Insan Cendekia Siak

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63826/el-khuwailid.v1i1.1

Abstract

Mathematics is an essential subject for students because it develops logical and analytical thinking skills, which form the foundation for understanding other concepts in mathematics as well as other scientific disciplines. One of the important topics in mathematics is exponents, which serve as a prerequisite for understanding other advanced topics. As prerequisite material, students are still frequently found to make errors in solving exponent problems. Therefore, this study aims to analyze students' errors in solving a number of exponent problems using the Kastolan procedure. This study uses a qualitative descriptive method with the research subjects consisting of 10 tenth-grade students from a Madrasah Aliyah (MA) in Siak Regency. The research instrument consists of 5 descriptive questions on exponent material. The data analysis techniques applied include data reduction, data presentation, and drawing conclusions. Based on the research findings, it is concluded that students made the following errors: conceptual errors, which involve students' inability to apply the correct properties of exponents; procedural errors, where students are unable to complete the steps needed to arrive at a final solution; and technical errors, which occur due to miscalculations that result in incorrect answers
Analisis Kesalahan Siswa dalam Menyelesaikan Soal Eksponen Menggunakan Prosedur Newman Susanti, Wiwit; Maimunah, Maimunah; Roza, Yenita
Jurnal Gantang Vol 10 No 2 (2025): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/dsx7ad32

Abstract

Exponents constitute a fundamental concept essential for understanding advanced mathematical topics such as logarithms, geometric sequences, and compound interest. However, many students continue to experience difficulties in solving exponent-related problems. This qualitative descriptive study aims to analyze the types of errors made by tenth-grade students when solving exponent problems using Newman’s procedure and to investigate the factors contributing to these errors. The participants were 23 students from Madrasah Aliyah Negeri (MAN) Insan Cendekia Siak in the 2024/2025 academic year. Data were collected through written tests and interviews, then analyzed by organizing and categorizing students’ errors according to Newman’s five stages. The results show that 12% of students committed reading errors due to inaccuracies in interpreting the questions, while no comprehension errors were identified. Transformation errors were the most common (49%), primarily due to students’ difficulties in constructing appropriate mathematical models. Process skill errors accounted for 21%, primarily due to computational mistakes, and encoding errors represented 18%, arising from students’ inability to use the provided information effectively. These findings deepen the understanding of students’ patterns of error in exponent problems and imply the need for more targeted instructional strategies, especially those that strengthen mathematical modeling and procedural accuracy.
Co-Authors Kartini Kartini Maimunah, Maimunah Yenita Roza