ANALYSIS OF STUDENT ERRORS BASED ON NEWMAN’S THEORY IN SOLVING CONTEXTUAL PROBLEMS ON PROBABILITY
DOI: https://doi.org/10.30605/vmnmy152
Newman Error Analysis, Probability, Contextual Problems, Error Analysis, Mathematics Education
Abstract
Mathematics instruction is essential for fostering logical thinking, organized reasoning, and the ability to tackle problems. Yet, in reality, numerous learners continue to face challenges when dealing with real-world problems, especially in the area of probability. The objective of this research is to examine the mistakes made by students when applying Newman’s Theory to solve real-world issues in probability. This study employs a qualitative approach using error analysis as the research method. Research subjects were selected using purposive sampling, specifically students who had studied probability. A total of 22 students participated in this study. Data gathering was carried out using written assessments featuring open-ended queries and interviews to understand the ways students think when tackling problems. The analysis of the data was performed utilizing the Newman method, which comprises reading mistakes, misunderstanding errors, transformation mistakes, procedural skill errors, and encoding mistakes. The findings from the research reveal that students made errors as follows: reading mistakes accounted for 4.54%, comprehension errors were at 10.6%, transformation mistakes reached 25.75%, process skill errors were at 36.36%, and encoding mistakes, which were the most common, were at 45.45%. These results show that learners continue to encounter major challenges when it comes to documenting step-by-step solution methods and delivering correct final responses that fit the situation of the problem. This study implies that mathematics instruction needs to emphasize conceptual understanding, mathematical modeling skills, and the practice of solving problems in a structured manner.
Downloads
References
Fitri, A., & Abadi, A. M. (2021). Kesulitan siswa dalam menyelesaikan soal peluang pada pembelajaran matematika. Jurnal Riset Pendidikan Matematika, 8(1), 96–105. https://scholarhub.uny.ac.id/jrpm/vol8/iss1/4/
Irianti, N. P., Barr, F. D., Nurasiah, L., & Irsal, N. A. (2024). Error analysis in solving applied mathematics problems based on the Newman procedure. Inteligensi: Jurnal Ilmu Pendidikan, 7(2), 112–121. https://jurnal.unitri.ac.id/index.php/inteligensi/article/view/5883
Ismiasih, N. (2023). Analisis kesalahan siswa dalam menyelesaikan soal cerita matematika melalui tahap Newman. PRIMATIKA: Jurnal Pendidikan Matematika, 12(2). https://doi.org/10.30872/primatika.v12i2.2698
Juniyarti, R., Hartoyo, A., & Nursangaji, A. (2024). Analisis kesalahan siswa berbasis Newman’s Error Analysis dalam memecahkan permasalahan soal cerita matematika. Jurnal Cendekia: Jurnal Pendidikan Matematika, 8(2), 1123–1134. https://www.j-cup.org/index.php/cendekia/article/view/3254
Logistica, R. S. A., & Awalludin, S. A. (2024). Analisis kesalahan peserta didik dalam memecahkan soal matematika menggunakan prosedur Newman. MaPan: Jurnal Matematika dan Pembelajaran, 12(1), 45–56. https://journal3.uin-alauddin.ac.id/index.php/Mapan/article/view/46684
Monika, I., Sainuddin, S., & Junita, R. (2025). Analisis kesalahan siswa dalam menyelesaikan soal matematika berdasarkan teori Newman. De Fermat: Jurnal Pendidikan Matematika, 8(1), 15–24. https://jurnal.pmat.uniba-bpn.ac.id/index.php/DEFERMAT/article/view/2387
Nuraina, N., et al. (2023). Analisis kesalahan siswa dalam menyelesaikan soal matematika dengan metode Newman. Asimetris: Jurnal Pendidikan Matematika dan Sains, 4(2). https://doi.org/10.51179/asimetris.v4i2.2265
Prengki, N., Jamilah, J., & Astuti, R. (2024). Analisis kesalahan siswa dalam menyelesaikan soal berdasarkan Newman’s Error Analysis ditinjau dari gaya kognitif. Math-Umb.Edu: Jurnal Ilmu Pendidikan Matematika, 11(2). https://doi.org/10.36085/mathumbedu.v11i2.5543
Puspita, R., Yani, E., Dinnisa, K., Kusumaningrum, B., Kuncoro, K. S., Ayuningtyas, A. D., & Irfan, M. (2022). Interactive Math Path: Permainan Ular Tangga Berbasis Etnomatematika. UNION: Jurnal Ilmiah Pendidikan Matematika, 10(1), 93-102. https://doi.org/10.30738/union.v10i1.12139
Setiyawati, E., Fauziati, E., Darsinah, & Prastiwi, Y. (2022). Analysis problem solving errors in mathematics story problems. Jurnal Pendidikan Indonesia, 11(3), 482–491. https://ejournal.undiksha.ac.id/index.php/JPI/article/view/46980
Siregar, B. H., Khaerunnisa, M., Sitepu, E. M. B., Sinaga, E. N. B., & Tobing, N. T. B. S. (2025). Analisis kesalahan siswa dalam menyelesaikan soal HOTS SPtLDV dengan menggunakan analisis Newman. J-PiMat: Jurnal Pendidikan Matematika, 7(2), 1903–1914. https://doi.org/10.31932/j-pimat.v7i2.5461
Siregar, M. A. S., & Siregar, B. H. (2023). Analisis kesalahan lembar jawaban siswa berdasarkan teori Newman pada materi himpunan di SMP Negeri 6 Medan. Academia.edu. https://www.academia.edu/109846023/ANALISIS_KESALAHAN_LEMBAR_JAWABAN_SISWA_BERDASARKAN_TEORI_NEWMAN_PADA_MATERI_HIMPUNAN_DI_SMP_NEGERI_6_MEDAN
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Pedagogy : Jurnal Pendidikan Matematika
This work is licensed under a Creative Commons Attribution 4.0 International License.
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
License and Copyright Agreement
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
