Profil Kesalahan Siswa SMP dalam Soal Cerita Luas Permukaan Prisma: Teori Newman

Arvin Rombe, Raoda Ismail, Agnes Teresa Panjaitan

Abstract


This qualitative case study aims to analyze students’ errors in solving word problems on the surface area of prisms based on Newman’s theory. The research subjects consisted of 27 eighth-grade students of SMP Advent Argapura. Six students were selected as interview participants, consisting of two high-ability students, two medium-ability students, and two low-ability students. Data were collected through word problem tests and interviews. Data analysis was conducted based on Newman’s error analysis stages, namely reading error, comprehension error, transformation error, process skills error, and encoding error. The results showed that encoding error was the most frequent type of error (62.04%), followed by process skills error (50.93%). In addition, students experienced difficulties in understanding geometric concepts, made computational errors due to lack of accuracy, and showed limitations in transforming contextual problem situations into appropriate mathematical models. These findings suggest that mathematics teachers should implement assessment practices that evaluate each stage of the problem-solving process, including the completeness of solution steps, the accuracy of calculations, the correct use of area units, and verification of final answers. Such practices are expected to minimize process skills error and encoding errors in solving mathematical word problems.

Keyword: Error, Word Problems, Prism Surface Area, Newman Error Analysis


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References


(3), 1–6. https://doi.org/10.1088/1742-6596/1521/3/032035

Hickendorff, M. (2021). The demands of simple and complex arithmetic word problems on language and cognitive resources. Frontiers in Psychology, 12, 1–12. https://doi.org/10.3389/fpsyg.2021.727761

Huang, H. M. E., & Wu, H. Y. (2019). Supporting children’s understanding of volume measurement and ability to solve volume problems: Teaching and learning. Eurasia Journal of Mathematics, Science and Technology Education, 15(12), 1–36. https://doi.org/10.29333/ejmste/109531

Kementerian Pendidikan Dasar dan Menengah. (2025). Rapor pendidikan Indonesia 2025: Capaian dan agenda perbaikan. https://kemendikdasmen.go.id

Kenedi, A. K., Helsa, Y., Ariani, Y., Zainil, M., & Hendri, S. (2019). Mathematical connection of elementary school students to solve mathematical problems. Journal on Mathematics Education, 10(1), 69–80. https://doi.org/10.2234

Layn, M. R., & Kahar, M. S. (2017). Analisis kesalahan siswa dalam menyelesaikan soal cerita matematika. Jurnal Math Educator Nusantara, 95, 59–145. https://doi.org/10.29408/jmen.v3i2.855

Listanti, D. R., & Mampouw, H. L. (2020). Profil pemecahan masalah geometri oleh siswa SMP ditinjau dari perbedaan kemampuan matematika. Jurnal Cendekia: Jurnal Pendidikan Matematika, 4(1), 365–379. https://doi.org/10.31004/cendekia.v4i1.224

Mahlaba, S. C. (2020). The state of South African mathematics education: Situating the hidden promise of multiple-solution tasks. Eurasia Journal of Mathematics, Science and Technology Education, 16(12), 1–12. https://doi.org/10.29333/ejmste/9279

Mulyadi, Riyadi, & Subanti, S. (2015). Analisis kesalahan dalam menyelesaikan soal cerita pada materi luas permukaan bangun ruang berdasarkan Newman’s error analysis (nea) ditinjau dari kemampuan spasial. Jurnal Elektronik Pembelajaran Matematika, 3(4), 370–382. http://jurnal.fkip.uns.ac.id

Newman, M. A. (1977). An analysis of sixth-grade pupils’ errors on written mathematical tasks. Victorian Institute for Educational Research Bulletin, 39, 31–43.

Nurhayati, & Sitaresmi, P. D. W. (2023). Analisis kesalahan siswa dalam menyelesaikan soal cerita aritmetika berdasarkan prosedur Newman. J-PiMat, 5(1), 601–610. https://doi.org/10.31932/j-pimat.v5i1

Ode, L., & Jazuli, A. (2020). Pengembangan perangkat pembelajaran matematika model kooperatif dengan mengintegrasikan budaya lokal masyarakat Wakatobi. Jurnal Teknologi Pendidikan, 22(2), 97–107. https://doi.org/10.21009/jtp.v22i2.1

OECD. (2023). PISA 2022 results: Country note—Indonesia. https://www.oecd.org/en/publications/pisa-2022-results-volume-i-and-ii-country-notes_ed6fbcc5-en/indonesia_c2e1ae0e-en.html

Rahmiati, K., & Roesdiana, L. (2021). Analisis miskonsepsi matematis kelas IX SMPN 2 teluk jambe barat materi kubus dan balok. UNION: Jurnal Ilmiah Pendidikan Matematika, 9(3), 243–256. https://doi.org/10.30738/union.v9i3.9468

Serin, H. (2018). Perspectives on the teaching of geometry: teaching and learning methods. Journal of Education and Training, 5(1), 131–137. https://doi.org/10.5296/jet.v5i1.12115

Siahaan, E. Y. S., Dasari, D., & Suryadi, D. (2024). Learning obstacles hindering junior high school students understanding of surface area of a prism. Jurnal Pendidikan Progresif, 14(1), 167–182. https://doi.org/10.23960/jpp.v14.i1.202413

Woolfolk, A., & Usher, E. L. (2022). Educational Psychology (15th ed.). Pearson.

Yunianta, T. N., Suryadi, D., Dasari, D., & Herman, T. (2023). Textbook praxeological-didactical analysis: lessons learned from the Indonesian mathematics textbook. Journal on Mathematics Education, 14(3), 503–524. https://doi.org/10.22342/jme.v14i3.pp503-524




DOI: https://doi.org/10.31932/j-pimat.v8i2.7093

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