Analysis of Student Errors in Solving Square Equation Questions Based on Polya Theory

  • Husnul Universitas Islam Negeri Alauddin Makassar
    (ID)
  • Rayhana Universitas Islam Negeri Alauddin Makassar
    (ID)
  • A. Sriyanti Universitas Islam Negeri Alauddin Makassar
    (ID)
  • Suharti Universitas Islam Negeri Alauddin Makassar
    (ID)
Keywords: Student errors, Polya theory, square equations

Abstract

This study aims to describe student errors and analyze the factors causing student errors in solving quadratic equation problems. This type of research is descriptive qualitative. The subjects used in this study were class IX A consisting of 16 students, then 3 students were selected based on their high, medium, and low category abilities obtained after being given test questions. The instrument used was a test instrument in the form of two questions that met the Polya theory indicators. The results of this study indicate that there are four errors in solving quadratic equation problems: (1) errors in understanding the problem, namely not being able to write down information related to the problem that is known in the problem; (2) errors in making plans, namely not being able to change the problem sentence into a mathematical model and errors in choosing the steps for solving, (3) errors in implementing the plan, namely errors in writing the final answer, (4) not mastering the concept of arithmetic operations and rechecking the answers. Factors causing student errors in understanding are students' lack of understanding of the concept, difficulty in mathematical modeling, and students' lack of thoroughness in arithmetic skills.

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References

Aini, N. N., & Mukhlis, M. (2020). Analisis Kemampuan Pemecahan Masalah Pada Soal Cerita Matematika Berdasarkan Teori Polya Ditinjau Dari Adversity Quotient. Alifmatika: Jurnal Pendidikan Dan Pembelajaran Matematika, 2(1), 105–128. https://doi.org/10.35316/alifmatika.2020.v2i1.105-128

Akramunnisa. (2017). Ability Analysis Based On Math Problem Completing The Early Math Skills And Cognitive Style Class Viii Smpn 13 Makassar. Jurnal Daya Matematis, 5(1).

Efendi, J. F., & Pratama, R. A. (2020). Defragmenting Proses Berpikir Pseudo Siswa Dalam Menyelesaikan Masalah Matematika. Aksioma: Jurnal Program Studi Pendidikan Matematika, 9(3), 651–661. https://doi.org/10.24127/ajpm.v9i3.2956

Farida, N. (2015). Analisis Kesalahan Siswa SMP Kelas VIII Dalam Menyelesaikan Masalah Soal Cerita Matematika. Aksioma: Jurnal Program Studi Pendidikan Matematika, 4(2), 42–52. https://doi.org/10.24127/ajpm.v4i2.306

Fathurohman, I., Setiani, Y., & Fakhrudin. (2023). Analisis Kesalahaan Siswa Dalam Menyelesaikan Soal Matematika Tingkat Tinggi Berdasarkan Teori Polya. Wilangan: Jurnal Inovasi Dan Riset Pendidikan Matematika, 4(2), 152–159. http://www.jurnal.untirta.ac.id/index.php/wilangan

Gazali, R. Y. (2016). Pembelajaran Matematika yang Bermakna. 2(3).

Harahap. (2020). Metodologi Penelitian Kualitatif (Pertama). Wal ashri Publishing.

Katon, K. S., & Arigiyati, T. A. (2018). Analisis Kesalahan Siswa Menurut Polya Materi Persamaan Dan Pertidaksamaan Linear Satu Variabel. In Prosiding Seminar Nasional Etnomatnesia. Universitas Sarjanawiyata Tamansiswa.

Mahmudah, I. D., & Sutarni, S. (2017). Kesalahan Siswa Dalam Menyelesaikan Soal Program Linier Bentuk Cerita Berbasis Newman Di Man Salatiga. http://hdl.handle.net/11617/8775

Mulana, I. M. B. (2021). Pendidikan Matematika Realistik dalam Pendidikan Matematika. In Jurusan Pendidikan Matematika FMIPA UNY (Vol. 44, Issue 2).

Ngilawajan, D. A. (2013). Proses Berpikir Siswa Dalam Memecahkan Masalah Matematika Materi Turunan Ditinjau Dari Gaya Kognitif Field Independent Dan Field Dependent. Jurnal Pendidikan Matematika Pedagogia, 2(1), 71–83.

Nurhikmah, S., & Febrian, F. (2016). Analisis Kesalahan Siswa Dalam Menyelesaikan Permasalahan Integral Tak Tentu. Jurnal Tatsqif, 14(2), 218–237. https://doi.org/10.20414/jtq.v14i2.30

Pratiwi, S. A., & Ariyanto. (2019). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Persamaan Linear Satu Variabel Berdasarkan Teori Polya Kelas Vii Smp Muhammadiyah 4 Surakarta Tahun Ajaran 2018/2019 [Universitas Muhammadiyah Surakarta]. http://eprints.ums.ac.id/id/eprint/71876

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), 21–29. https://doi.org/10.24269/silogisma.v4i1.1368

Rahmawati, R., & Ikashaum, F. (2021). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Pemecahan Masalah Matematika Berdasarkan Teori Newman. Hipotenusa Journal Of Research Mathematics Educatio, 4(2).

Siahaan, E. M., Dewi, S., & Said, H. B. (2019). Analisis Kemampuan Pemecahan Masalah Matematis Berdasarkan Teori Polya Ditinjau Dari Gaya Kognitif Field Dependent Dan Field Independent pada Pokok Bahasan Trigonometri Kelas X Sma N 1 Kota Jambi. PHI: Jurnal Pendidikan Matematika, 2(2), 100–110. https://doi.org/10.33087/phi.v2i2.37

Sutisna, E., & Pujiastuti, H. (2023). Systematic Literature Review: Adversity Quotient pada Kemampuan Pemecahan Masalah Matematis Siswa Berdasarkan Tahapan Polya. JNPM (Jurnal Nasional Pendidikan Matematika), 7(1), 192. https://doi.org/10.33603/jnpm.v7i1.8052

Syahda, U., & Pujiastuti, H. (2020). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Persamaan dan Pertidaksamaan Nilai Mutlak Berdasarkan Teori Polya. JKPM: Jurnal Kajian Pendidikan Matematika, 6(1), 75–82. https://doi.org/10.30998/jkpm.v6i1.6610

Wildani, J., Triyana, I. W., & Mahmudah, W. (2019). Literasi Statistis Siswa Kelas VIII SMP Negeri 1 Gresik. Vigotsky Journal, 1(2), 99–110.

Published
2024-05-31
How to Cite
Husnul, Rayhana, A. Sriyanti, and Suharti. 2024. “Analysis of Student Errors in Solving Square Equation Questions Based on Polya Theory”. Alauddin Journal of Mathematics Education 6 (1), 88-100. https://doi.org/10.24252/ajme.v6i1.46731.
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Artikel
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