Student errors in solving quadratic equations

Daniar Wahyuningtyas; Mutina Mutina; Sukoriyanto Sukoriyanto

doi:10.30821/axiom.v14i2.20698

Student errors in solving quadratic equations

Daniar Wahyuningtyas, Mutina Mutina, Sukoriyanto Sukoriyanto

Abstract

Quadratic equations are fundamental mathematical concepts taught at the junior high school level and are widely used in solving mathematical problems. However, many students still experience difficulties and make errors when solving problems related to quadratic equations. This study aims to examine the types of errors made by students in solving quadratic equation problems. The analysis was conducted by reviewing relevant previous studies selected based on predetermined inclusion and exclusion criteria. Seven articles obtained from Google Scholar were analyzed. The results indicate that students’ errors can be categorized into three main types: conceptual errors, procedural errors, and calculation errors. Conceptual errors include difficulties in expressing quadratic equations in general form, selecting appropriate formulas, and factoring. Procedural errors involve mistakes in applying solution steps, mathematical principles, and problem-solving procedures, as well as a failure to recheck answers. Calculation errors are related to inaccuracies in numerical operations, particularly in determining positive and negative signs.

Keywords

Error Analysis; Problem Solving; Quadratic Equations; Students’ Errors

Full Text:

PDF

References

Anggraini, Y. P., & Kartini, K. (2020). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Persamaan Kuadrat Pada Siswa Kelas Ix Smpn 2 Bangkinang Kota. AXIOM : Jurnal Pendidikan Dan Matematika, 9(2), 210. https://doi.org/10.30821/axiom.v9i2.7682

Baybayon, G. G., & Lapinid, M. R. C. (2024). Students’ Common Errors in Quadratic Equations: Towards Improved Mathematics Performance. Infinity Journal, 13(1), 83–98. https://doi.org/10.22460/infinity.v13i1.p83-98

Fauziah, F. A., & Astutik, E. P. (2022). Analisis Kesalahan Siswa dalam Pemecahan Masalah Soal Cerita Matematika Berdasarkan Langkah Polya. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(1), 996–1007. https://doi.org/10.31004/cendekia.v6i1.1086

Fiqri, C. I. A., Muhsetyo, G., & Qohar, A. (2019). Analisis Kesalahan Siswa dan Scaffolding dalam Menyelesaikan Soal pada Materi Persamaan Kuadrat. Jurnal Kajian Pembelajaran Matematika, 3(2), 1–8.

Galu Parwati, Hadjar, I., Pathuddin, P., & Alfisyahra, A. (2023). 10.47435/jtmt.v4i02.1976 Analysis of the Error Students in Solving Story Problems on Quadratic Equation Material Based on Newman Stages. JTMT: Journal Tadris Matematika, 4(02), 208–220. https://doi.org/10.47435/jtmt.v4i02.1976

Hu, Q., Son, J. W., & Hodge, L. (2022). Algebra Teachers’ Interpretation and Responses to Student Errors in Solving Quadratic Equations. International Journal of Science and Mathematics Education, 20(3), 637–657. https://doi.org/10.1007/s10763-021-10166-1

Imswatama, A., & Muhassanah, N. (2016). Analisis Kesalahan Mahasiswa Dalam Menyelesaikan Soal Geometri Analitik Bidang Materi Garis Dan Lingkaran. Suska Journal of Mathematics Education, 2(1), 1–12. https://doi.org/10.24014/sjme.v2i1.1368

Islamiyah, W., & Suryadi, D. (2023). Analysis of Students‘ Error in Learning of Quadratic Equations : Systematic Literature Review. JIPM (Jurnal Ilmiah Pendidikan Matematika), 11(2), 394. https://doi.org/10.25273/jipm.v11i2.15564

Macachor, M. C. R., & Morados, P. J. T. (2024). Investigation of Grade 9 Students ’ Errors in Solving Quadratic Equations in One Variable. Puissant-A Multidiscplinary Journal, 5, 2114–2140.

Makgakga, S. (2016). Errors And Misconceptions in Solving Quadratic Equations by Completing A Square. Association for Mathematics Education of South Africa. http://www.amesa.org.za/AMESA2014/Proceedings/papers/Short Paper/4. Sello Makgakga -AMESAPAPER2014final.pdf

Makgakga, T. P. (2023). Solving quadratic equations by completing the square: Applying Newman’s Error Analysis Model to analyse Grade 11 errors. Pythagoras, 44(1), 1–11. https://doi.org/10.4102/pythagoras.v44i1.742

NCTM. (2000). Priciples and Standards for School Mathematics. Library of Congress.

Nuraini, I., & Afifurrahman, A. (2023). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Matematika Materi Persamaan Kuadrat. Journal of Math Tadris, 3(2), 15–31. https://doi.org/10.55099/jmt.v3i2.89

Pania, D. N. M., Regar, V. E., & Pulukadang, R. J. (2023). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Materi Persamaan Kuadrat Berdasarkan Prosedur Newman. Journal of Education, 05(04), 17051–17056.

Polya, G. (1973). How To Solve It (p. 284). Princeton University Press.

Putri, S. M. (2019). Identifikasi Kesalahan Siswa Berdasarkan Newman Dalam Menyelesaikan Soal Pada Materi Persamaan Kuadrat Tingkat Sekolah Menengah Pertama. JURNAL SILOGISME : Kajian Ilmu Matematika Dan Pembelajarannya, 4(1), 21. https://doi.org/10.24269/silogisme.v4i1.1368

Resky, M., Wahab A, A., & Buhaerah, B. (2022). Analisis Kesalahan Peserta Didik Dalam Menyelesaikan Soal Persamaan Kuadrat Pada Siswa Kelas Ix UPTD SMP Negeri 4 Parepare. Jurnal Equation: Teori Dan Penelitian Pendidikan Matematika, 5(2), 45. https://doi.org/10.29300/equation.v5i2.7126

Richter, Z., Kerres, M., Bedenlier, S., Bond, M., & Buntins, K. (2020). Systematic Reviews in Educational Research. In Systematic Reviews in Educational Research. Springer. https://doi.org/10.1007/978-3-658-27602-7

Robinson, P., & Lowe, J. (2015). Literature reviews vs systematic reviews. Australian and New Zealand Journal of Public Health, 39(2), 103. https://doi.org/10.1111/1753-6405.12393

Safitri, D., Halini, & Nursangaji, A. (2018). Analisis Kesalahan Siswa Dalam Menyelesaikan Persamaan Kuadrat Di Kelas XI SMAN 5 Pontianak. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa, 7(8), 1.

Sarlina. (2015). Miskonsepsi Siswa terhadap Pemahaman Konsep Matematika pada Pokok Bahasan Persamaan Kuadrat Siswa Kelas X5 SMA Negeri 11 Makassar. MaPan: Jurnal Matematika Dan Pembelajaran, 3(2), 198.

Sarlina, S. F., & Alyani, F. (2021). Analisis Kesulitan Belajar Matematika Siswa Kelas IX pada Materi Persamaan Kuadrat Ditinjau dari Kemampuan Komunikasi Matematis. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(3), 2711–2722. https://doi.org/10.31004/cendekia.v5i3.941

Sihafudin, & Janan, T. (2023). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Persamaan Kuadrat. PANDU : Jurnal Pendidikan Anak Dan Pendidikan Umum, 1(3), 160–169. https://doi.org/10.59966/pandu.v1i3.484

Sura’, G., Tamhir, S., & Dassa, A. (2021). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Persamaan Kuadrat. Issues in Mathematics Education, 5(1), 73–81. https://doi.org/10.59966/pandu.v1i3.484

Thomas, D. S., & Mahmud, M. S. (2021). Analysis of Students’ Error in Solving Quadratic Equations Using Newman’s Procedure. International Journal of Academic Research in Business and Social Sciences, 11(12), 222–237. https://doi.org/10.6007/ijarbss/v11-i12/11760

Triandini, E., Jayanatha, S., Indrawan, A., Werla Putra, G., & Iswara, B. (2019). Metode Systematic Literature Review untuk Identifikasi Platform dan Metode Pengembangan Sistem Informasi di Indonesia. Indonesian Journal of Information Systems, 1(2), 63. https://doi.org/10.24002/ijis.v1i2.1916

Zhao, H., & Acosta-Tello, E. (2016). The Impact of Erroneous Examples on Students’ Learning of Equation Solving. Journal of Mathematics Education, 9(1), 57–68.

DOI: http://dx.doi.org/10.30821/axiom.v14i2.20698