The Challenges of Junior High School Students in Solving Fraction Problems Based on Newman's Error Analysis
), Sufyani Prabawanto(2)
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(1) Department of Mathematics Education, Universitas Pendidikan Indonesia, Indonesia, Indonesia
(2) Department of Mathematics Education, Universitas Pendidikan Indonesia, Indonesia, Indonesia
Corresponding Author
10.23960/jpmipa.v26i2.pp1274-1288
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Copyright (c) 2025 Petrus Kanisius Nama Doni, Sufyani Prabawanto
Abstract
This study aims to analyze the type of errors made by eighth-grade students in solving fraction problems at a public junior high school in Lembata Regency, East Nusa Tenggara. The analysis was conducted using the Newman Error Analysis (NEA). The research employed a qualitative descriptive method with nine eighth-grade students as the subjects. The instruments used included a written test consisting of 17 questions and interview guidelines based on the five stages of error identified in NEA: reading, comprehension, transformation, process skills, and encoding. The analysis revealed no errors in the reading stage, indicating that students were generally able to read and extract relevant information from the problems correctly. However, significant errors began to appear in the subsequent stages. In the comprehension stage, 16.84% of students failed to interpret the question correctly or misunderstood essential information, potentially leading to incorrect solution steps. Transformation errors occurred in 26.94% of cases, where students struggled to convert verbal information into a mathematical representation. In the process skills stage, 27.27% of students made mistakes in performing basic mathematical operations, such as fraction calculations. The highest error rate was observed in the encoding stage, where 28.96% students were unable to correctly write the final answer, even after processing the question appropriately. These findings indicate that students face difficulties not only in conceptual understanding but also in procedural fluency and mathematical expression.
Keywords: difficulty, fraction, newman error analysis, process skills, encoding.
References
Abdullah, A. H., Abidin, N. L. Z., & Ali, M. (2015). Analysis of students’ errors in solving Higher Order Thinking Skills (HOTS) problems for the topic of fraction. Asian Social Science, 11(21), 133–142. Scopus. https://doi.org/ 10.5539/ass.v11n21p133
Anggraini, D., Suryadi, D., & Albania, I. N. (2023). The analysis of students’ difficulties in solving non-routine mathematical problems. AIP Conference Proceedings, 2734(1), 090035. https://doi.org/10.1063/5.0175692
Arjudin, A., Turmuzi, M., Kurniati, N., & Wulandari, N. P. (2024). Problem solving skills of mathematics education students with lack number sense ability. Jurnal Pendidikan MIPA, 25(1), Article 1.
Arifin, M. S., Abdul Wahid, N., & Sulaiman, T. (2023). Error analysis in mathematics problem solving among low-performing students. International Journal of Academic Research in Progressive Education and Development, 12(1), 233–248. https://doi.org/10.6007/IJARPED/v12-i1/16750
Cendekiawaty, T., & Sugiman, S. (2020). Realistic mathematics education: An alternative to improve students’ understanding of fraction concept. 1581(1). Scopus. https://doi.org/10.1088/1742-6596/1581/1/012045
Djam’an, R., Sutiarso, S., & Wahyudin. (2022). Analysis of students’ errors in solving mathematics olympiad problems. Journal of Mathematics Education, 13(2), 115–126. https://sainsmat.org/index.php/sainsmat/article/view/2300
Eidam, H. (2023). Education at school: and where else could it be? Educacao e Sociedade, 44. Scopus. https://doi.org/10.1590/ES.273563
Hwang, J., & Riccomini, P. J. (2021). A descriptive analysis of the error patterns observed in the fraction-computation solution pathways of students with and without learning disabilities. Assessment for Effective Intervention, 46(2), 132–142. Scopus. https://doi.org/10.1177/1534508419872256
Jordan, N. C., Dyson, N., Guba, T. P., Botello, M., Suchanec-Cooper, H., & May, H. (2024). Exploring the impact of a fraction sense intervention in authentic school environments: An initial investigation. Journal of Experimental Child Psychology, 244. Scopus. https://doi.org/10.1016/j.jecp.2024.105954
Kenney, S., & Ntow, F. D. (2024). Unveiling the errors learners make when solving word problems involving algebraic tasks. SAGE Open, 14(2). https://doi.org/10.1177/21582440241299245
Kusumadewi, C. A., & Retnawati, H. (2020). Identification of elementary school students’ difficulties in mathematical problem-solving. Journal of Physics: Conference Series, 1511(1), 012031. https://doi.org/10.1088/1742-6596/1511/1/012031
Kusmayadi, T. A., Sahara, S., & Fitriana, L. (2022). Application of Newman Errors Analysis theory related to mathematical literacy problems: A case study of secondary students in class 11. AIP Conference Proceedings, 2566(1), 020013. https://doi.org/10.1063/5.0117183
Lee, J. (2024). A Tier 2 fraction intervention to address misconceptions of fifth graders experiencing difficulty with fractions: a descriptive analysis. The International Journal of Science, Mathematics and Technology Learning, 32(1), 131–153. https://doi.org/10.18848/2327-7971/cgp/v32i01/131-153
Lubis, M. N., & Jupri, A. (2023). Analysis of student errors in solving word problems on linear program using Newman’s procedure. AIP Conference Proceedings, 2734(1), 090018. https://doi.org/10.1063/5.0156385
Mostert, T. M. M., & Hickendorff, M. (2023). Pizzas or no pizzas: An advantage of word problems in fraction arithmetic? Learning and Instruction, 86. Scopus. https://doi.org/10.1016/j.learninstruc.2023.101775
Nubatonic, A. B. M., Sulistiawati, Muktyas, I. B., Murnaka, N. P., & Arifin, S. (2023). Description of gasing mathematics learning online on improving students’ cognitive learning outcomes. 020005. https://doi.org/10.1063/5.0154658
Nurhayati, Palobo, M., Nur’aini, K. D., Natsir, I., Meirista, E., & Munfarikhatin, A. (2020). Implementation of software geogebra on triangles. Journal of Physics: Conference Series, 1569(4), 042068. https://doi.org/10.1088/1742-6596/1569/4/042068
OECD. (2019). PISA 2018 Results (Volume I): What Students Know and Can Do. OECD Publishing.
Pratiwi, D. D., Mujib, A., S. M., K., C. W., & Utami, E. (2021). Application of algebraic tile media with gasing: Ability to understand mathematical concepts and student creativity. Journal of Physics: Conference Series, 1796(1), 012023. https://doi.org/10.1088/1742-6596/1796/1/012023
Ramadianti, W., Priatna, N., & Kusnandi. (2020). Procedural knowledge versus conceptual knowledge of fraction: an indonesian junior high school case study. Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019. Scopus. https://doi.org/10.4108/eai.12-10-2019.2296501.
Shinariko, L. J., Saputri, N. W., Hartono, Y., & Araiku, J. (2020). Analysis of students’ mistakes in solving mathematics olympiad problems. Journal of Physics: Conference Series, 1480(1), 012039. https://doi.org/10.1088/1742-6596/1480/1/012039
Suradi, & Djam’an, N. (2021). Students’ error on proof of the group with “satisfy axioms proof” based on newman error analysis. Journal of Physics: Conference Series, 2123(1), 012024. https://doi.org/10.1088/1742-6596/2123/1/012024
Yuberta, K. R., Mahdi, Y., Nari, N., & Yulivia, M. (2022). Analysis of factors affecting difficulties in learning mathematics during online learning. AIP Conference Proceedings, 2524(1), 020006. https://doi.org/10.1063/5.0112351
Wayeni, B., Sulistiawati, Muktyas, I. B., Murnaka, N. P., & Arifin, S. (2024). Description of online math educational application in improving ability understanding of students’ math concepts. AIP Conference Proceedings, 3033, 020001. https://doi.org/10.1063/5.0183278
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