Concept understanding ability: Error analysis of Madrasah Aliyah students in solving problems based on Kastolan stages

Purpose: This study aims to analyze the types of errors made by Madrasah Aliyah (MA) students in solving problems related to concept understanding in statistics, based on Kastolan’s stages.Method: A qualitative approach using a phenomenological method was employed to deeply explore students' error patterns. Data were collected through concept understanding tests, documentation, and interviews, involving 12 grade 12 students selected by purposive sampling. The analysis followed the Miles and Huberman model.Findings: The results revealed that students with high, moderate, and low concept understanding abilities all made errors categorized into conceptual, procedural, and technical errors. Conceptual and procedural errors stemmed from limited understanding of statistical concepts such as mode, median, and mean. Technical errors were caused by lack of accuracy, insufficient exposure to varied problem types, and low student independence in learning.Significance: This study highlights the importance of reinforcing basic statistical concepts in teaching and suggests that varied and non-routine problem exercises are essential to reduce students’ errors and enhance conceptual understanding.

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Publication Details

Journal
Al-Jabar Jurnal Pendidikan Matematika
Published
2025-06-16
DOI
https://doi.org/10.24042/ajpm.v16i1.25855
Primary Topic
Educational Curriculum and Learning Methods
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article
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article

Concept understanding ability: Error analysis of Madrasah Aliyah students in solving problems based on Kastolan stages

Jarnawi Afgani Dahlan, Darhim Darhim, Sanie Rachma Setia Gunawan
Al-Jabar Jurnal Pendidikan Matematika
Educational Curriculum and Learning Methods
article

Concept understanding ability: Error analysis of Madrasah Aliyah students in solving problems based on Kastolan stages

Jarnawi Afgani Dahlan, Darhim Darhim, Sanie Rachma Setia Gunawan
article en

Abstract

Purpose: This study aims to analyze the types of errors made by Madrasah Aliyah (MA) students in solving problems related to concept understanding in statistics, based on Kastolan’s stages.Method: A qualitative approach using a phenomenological method was employed to deeply explore students' error patterns. Data were collected through concept understanding tests, documentation, and interviews, involving 12 grade 12 students selected by purposive sampling. The analysis followed the Miles and Huberman model.Findings: The results revealed that students with high, moderate, and low concept understanding abilities all made errors categorized into conceptual, procedural, and technical errors. Conceptual and procedural errors stemmed from limited understanding of statistical concepts such as mode, median, and mean. Technical errors were caused by lack of accuracy, insufficient exposure to varied problem types, and low student independence in learning.Significance: This study highlights the importance of reinforcing basic statistical concepts in teaching and suggests that varied and non-routine problem exercises are essential to reduce students’ errors and enhance conceptual understanding.

Al-Jabar Jurnal Pendidikan MatematikaVol. 16(1)
Indonesia University of Education (ID)
Openalex Percentile: Top 84%
Educational Curriculum and Learning Methods
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Concept understanding ability: Error analysis of Madrasah Aliyah students in solving problems based on Kastolan stages — Jarnawi Afgani Dahlan, Darhim Darhim, et al. · Al-Jabar Jurnal Pendidikan Matematika (2025) | TGRS Research Map | TGRS