ANALYSIS OF STUDENT ERRORS IN SOLVING TRIGONOMETRY PROBLEMS BASED ON THE NEWMAN PROCEDURE
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Abstract
This study was motivated by student errors in trigonometry. This study aimed to describe the types of student errors in solving trigonometry problems using the Newman error analysis procedure. This research is descriptive qualitative with the subjects of vocational high school students. Data collection involved written tests, depth interviews, and documentation. The results show that most students made comprehension and transformation errors. The comprehension errors consisted of not writing down what was known and asked; immediately writing down the completion process with the wrong formula and incorrect understanding of the concept of the basic trigonometric formula. The transformation errors were not being able to transform information on the problem into the mathematical model, and incorrect in mentioning the formula.
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Fauzi, N. I., Sagita, L., Setiyani, & Wicaksono, B. (2022). ANALYSIS OF STUDENT ERRORS IN SOLVING TRIGONOMETRY PROBLEMS BASED ON THE NEWMAN PROCEDURE. Kalamatika: Jurnal Pendidikan Matematika, 7(1), 1-14. https://doi.org/10.22236/KALAMATIKA.vol7no1.2022pp1-14
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https://doi.org/10.1016/j.sbspro.2010.12.036
Sulistyaningsih, D., Purnomo, E. A., & Purnomo. (2021). Polya’s problem solving strategy in trigonometry: An analysis of students’ difficulties in problem solving. Mathematics and Statistics, 9(2), 127–134.
https://doi.org/10.13189/ms.2021.090206
Sumule, U., Amin, S. M., & Fuad, Y. (2018). Error Analysis of Indonesian Junior High School Student in Solving Space and Shape Content PISA Problem Using Newman Procedure. Journal of Physics: Conference Series, 947(1).
https://doi.org/10.1088/1742-6596/947/1/012053
Utami, A. (2015). Tipe Kesalahan Mahasiswa dalam Menyelesaikan Soal-Soal Geometri Berdasar Newman’s Error Analiysis (NEA). Jurnal Ilmiah Pendidikan, 4(2), 85–92.
Wahidah, Y. N., Inganah, S., & Ismail, A. D. (2017). The Analysis of Mathematical Problems Using Newman Stages Reviewed From Emotional Intelligence. Mathematics Education Journal, 1(2), 56.
https://doi.org/10.22219/mej.v1i2.4630
Wijaya, A. A., & Masriyah. (2013). Analsis Kesalahan Siswa dalam Menyelesaikan Soal Cerita pada Materi Sistem Linear Dua Variabel. MATHEdunesa, 2(1), 1–7.
Zulfa, B. I., Suryadi, D., Fatimah, S., & Jupri, A. (2020). Student’s Mistake in Algebraic Fraction: An Analysis Using AVAE Categories. Journal of Physics: Conference Series, 1521(3).
https://doi.org/10.1088/1742-6596/1521/3/032029
https://doi.org/10.1088/1742-6596/1114/1/012114.
Bakhri, S., Sari, A. F., & Ernawati, A. (2019). Kualitas Pembelajaran Kontekstual Siswa IPS Materi Program Linier yang Memiliki Kecemasan Belajar Matematika. Kreano, Jurnal Matematika Kreatif - Inovatif, 10(2), 186–192.
https://doi.org/10.15294/kreano.v10i2.19061 https://doi.org/10.15294/kreano.v10i2.19061
Clements, M. A., & Ellerton, N. (1996). The Newman procedure for analysing errors on written mathematical tasks. Retrieved March, 20, 2012.
Darmawan, I., Kharismawati, A., Hendriana, H., & Purwasih, R. (2018). Analisis Kesalahan Siswa SMP Berdasarkan Newman dalam Menyelesaikan Soal Kemampuan Berpikir Kritis Matematis pada Materi Bangun Ruang Sisi Datar. JURING (Journal for Research in Mathematics Learning), 1(1), 71.
https://doi.org/10.24014/juring.v1i1.4912
Dewi, S. P., & Kartini, K. (2021). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Sistem Persamaan Linear Tiga Variabel Berdasarkan Prosedur Kesalahan Newman. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(1), 632–642.
https://doi.org/10.31004/cendekia.v5i1.508
Halim, F. A., & Rasidah, N. I. (2019). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Aritmatika Sosial Berdasarkan Prosedur Newman. GAUSS: Jurnal Pendidikan Matematika, 2(1), 35.
https://doi.org/10.30656/gauss.v2i1.1406
Jha, S. K. (2012). Mathematics Performance of Primary School Students in Assam (India): An Analysis Using Newman Procedure. International Journal of Computer Applications in Engineering Sciences, 2(I), 17–21.
Limardani, G., Trapsilasiwi, D., & Fatahillah, A. (2015). Analisis Kesulitan Siswa dalam Menyelesaikan Soal Operasi Aljabar pada Siswa Kelas VIII D SMP Negeri 4 Jember. Artikel Ilmiah Mahasiswa, 1(1), 1–7.
Moleong, L. J. (2017). Metode Penelitian Kualitatif. PT. Remaja Rosdakarya Offset.
Newman, M. A. (1983). Strategy for diagnosis and remediation. Sydney: Harcourt, Brace Jovanovich.
Nurhikmayati, I. (2017). Kesulitan Berpikir Abstrak Matematika Siswa Dalam Pembelajaran Problem Posing Berkelompok. KALAMATIKA Jurnal Pendidikan Matematika, 2(2), 159.
https://doi.org/10.22236/kalamatika.vol2no2.2017pp159-176
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An Analysis of Elementary School Students’ Difficulties in Mathematical Problem Solving. Procedia - Social and Behavioral Sciences, 116(2012), 3169–3174.
https://doi.org/10.1016/j.sbspro.2014.01.728
Rahmawati, D., & Permata, L. D. (2018). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Program Linear Dengan Prosedur Newman. Jurnal Elektronik Pembelajaran Matematika, 5(2), 173–185.
Rindyana, B. S. B., & Chandra, T. D. (2012). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Matematika Materi Sistem Persamaan Linear Dua Variabel Berdasarkan Analisis Newman (Studi Kasus MAN Malang 2 Batu). Artikel Ilmiah Universitas Negeri Malang, 1(2).
Sarac, A. T. F. (2017). The Relationship between Teacher Efficacy, and Students’ Trigonometry Self-Efficacy and Achievement. International Journal for Mathematics Teaching and Learning, 18(1), 66–83.
Sarkam, Sujadi, I., & Subanti, S. (2019). Mathematical connections ability in solving trigonometry problems based on logical-mathematical intelligence level. Journal of Physics: Conference Series, 1188(1).
https://doi.org/10.1088/1742-6596/1188/1/012022
Setiawan, Y. E. (2021). Analisis Kesalahan Mahasiswa Semester Pertama dalam Menentukan Nilai Fungsi Trigonometri Sudut Istimewa. SJME (Supremum Journal of Mathematics Education), 5(1), 110–121.
https://doi.org/10.35706/sjme.v5i1.4531
Singh, P., Rahman, A. A., & Hoon, T. S. (2010). The Newman procedure for analyzing Primary Four pupils errors on written mathematical tasks: A Malaysian perspective. Procedia - Social and Behavioral Sciences, 8(5), 264–271.
https://doi.org/10.1016/j.sbspro.2010.12.036
Sulistyaningsih, D., Purnomo, E. A., & Purnomo. (2021). Polya’s problem solving strategy in trigonometry: An analysis of students’ difficulties in problem solving. Mathematics and Statistics, 9(2), 127–134.
https://doi.org/10.13189/ms.2021.090206
Sumule, U., Amin, S. M., & Fuad, Y. (2018). Error Analysis of Indonesian Junior High School Student in Solving Space and Shape Content PISA Problem Using Newman Procedure. Journal of Physics: Conference Series, 947(1).
https://doi.org/10.1088/1742-6596/947/1/012053
Utami, A. (2015). Tipe Kesalahan Mahasiswa dalam Menyelesaikan Soal-Soal Geometri Berdasar Newman’s Error Analiysis (NEA). Jurnal Ilmiah Pendidikan, 4(2), 85–92.
Wahidah, Y. N., Inganah, S., & Ismail, A. D. (2017). The Analysis of Mathematical Problems Using Newman Stages Reviewed From Emotional Intelligence. Mathematics Education Journal, 1(2), 56.
https://doi.org/10.22219/mej.v1i2.4630
Wijaya, A. A., & Masriyah. (2013). Analsis Kesalahan Siswa dalam Menyelesaikan Soal Cerita pada Materi Sistem Linear Dua Variabel. MATHEdunesa, 2(1), 1–7.
Zulfa, B. I., Suryadi, D., Fatimah, S., & Jupri, A. (2020). Student’s Mistake in Algebraic Fraction: An Analysis Using AVAE Categories. Journal of Physics: Conference Series, 1521(3).
https://doi.org/10.1088/1742-6596/1521/3/032029