An An Exploration of High School Students’ Errors in Solving Trigonometry Problems

  • Putri Armania Agustina Alfitri Universitas Pendidikan Indonesia
  • Nurdiyah Kurniati Universitas Pendidikan Indonesia
  • Sufyani Prabawanto Universitas Pendidikan Indonesia
  • Kartika Yulianti Universitas Pendidikan Indonesia
Keywords: error, trigonometry, problems

Abstract

Trigonometry plays an important role in the field of mathematics education, but in fact, some errors are identified. Therefore, this study aims to explore the students’ errors in solving trigonometry problems, especially in the sub-topics of trigonometric ratios. This is a qualitative study using a case study design. The subjects of this study were 35 students in grade 10 in one of the senior high schools in a district located in the Province of East Kalimantan. The research instruments were 1) a diagnostic test consisting of five essay problems about trigonometric ratios; 2) observation sheets; and 3) interview guidelines. The data was analyzed through three processes. They were: 1) data reduction, 2) data presentation, and 3) conclusion drawing or verification. The results show that the subjects made errors in solving trigonometric ratio problems, with the most errors made by subjects being errors in understanding concepts and writing algorithms. The causes of students making errors are due to the weak understanding of students' concepts, lack of student mastery of the prerequisite topics, the problems given being less varied, and students being in a hurry to solve problems.

Downloads

Download data is not yet available.

References

Ashlock, R. B. (2006). Error Patterns in Computation. Pearson Prentice Hall.

Brijlall, D., & Niranjan, C. (2015). Using Manipulatives to Support an Embodied Approach to Learning Trigonometry in A South African School: A Case Study. Africa Education Review, 12(3), 361–380. https://doi.org/10.1080/18146627.2015.1110893

Chigonga, B. (2016). Learners’ Errors When Solving Trigonometric Equations and Suggested Interventions From Grade 12 Mathematics Teachers. International Society for Technology in
Education, 163–176.
https://www.researchgate.net/publication/314285050_Learners’_errors_when_solving_trigonometric_equations_and_suggested_interventions_from_Grade_12_Mathematics_teachers

Dewanto, M. D., Budiyono, B., & Pratiwi, H. (2017). Students’ Error Analysis in Solving The Math
Word Problems of High Order Thinking Skills (HOTS) Type on Trigonometry Application. International Conference on Science, Mathematics, and Education, 218, 195–200. https://doi.org/10.2991/icomse-17.2018.34

Emmanouil, E., Wei, G., & Dai, J. S. (2016). Spherical Trigonometry Constrained Kinematics For a Dexterous Robotic Hand With an Articulated Palm. Robotica, 34(12), 2788–2805.
https://doi.org/10.1017/S0263574715000399

Goel, S. (2015). Reform of Teaching a Trigonometry Course. Georgia Journal of Science, 73(2), 136–146. https://digitalcommons.gaacademy.org/gjs/vol73/iss2/3%0AThis

Gradini, E., Yustinaningrum, B., & Safitri, D. (2022). Kesalahan Siswa Dalam Memecahkan Masalah Trigonometri Ditinjau dari Indikator Polya. Mushorafa: Jurnal Pendidikan Matematika, 11(1), 49–60. http://journal.institutpendidikan.ac.id/index.php/mosharafa

Huda, R., & Qohar, A. (2021). Student Activeness and Understanding in Mathematics Learning Using GeoGebra Application on The Trigonometry Ratio Topic. AIP Conference Proceedings,
2330(040034), 1–8. https://doi.org/10.1063/5.0043140

Jelatu, S., Kurniawan, Y., Kurnila, V. S., Mandur, K., & Jundu, R. (2019). Collaboration TPS Learning
Model and M-Learning Based on Android for Understanding of Trigonometry Concepts With Different Cognitive Style. International Journal of Instruction, 12(4), 545–560. https://doi.org/10.29333/iji.2019.12435a

Kamber, D., & Takaci, D. (2018). On Problematic Aspects in Learning Trigonometry. International Journal of Mathematical Education in Science and Technology, 49(2), 161–175. https://doi.org/10.1080/0020739X.2017.1357846

Maharani, S., & Bernard, M. (2018). Analisis Hubungan Resiliensi Matematik Terhadap Kemampuan Pemecahan Masalah Siswa Pada Materi Lingkaran. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(5), 819. https://doi.org/10.22460/jpmi.v1i5.p819-826

Miles, M. B., & Huberman, A. M. (1994). Qualitative Data Analysis: An Expanded Sourcebook (2nd ed.). Sage Publications, Inc.

Nanmumpuni, H. P., & Retnawati, H. (2021). Analysis of Senior High School Student’s Difficulty in Resolving Trigonometry Conceptual Problems. Journal of Physics: Conference Series, 1776(1), 1–8. https://doi.org/10.1088/1742-6596/1776/1/012012

Rohimah, S. M., & Prabawanto, S. (2019). Student’s Difficulty Identification in Completing the Problem of Equation and Trigonometry Identities. International Journal of Trends in Mathematics Education Research, 2(1), 34. https://doi.org/10.33122/ijtmer.v2i1.50

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

Usman, M. H., & Hussaini, M. M. (2017). Analysis of Students’ Error in Learning of Trigonometry Among Senior Secondary School Students in Zaria Metropolis, Nigeria. IOSR Journal of Mathematics, 13(02), 01–04. https://doi.org/10.9790/5728-1302040104

Walsh, R., Fitzmaurice, O., & O’Donoghue, J. (2017). What Subject Matter Knowledge do Second-level Teachers Need to Know to Teach Trigonometry? An Exploration and Case Study. Irish Educational Studies, 36(3), 273–306. https://doi.org/10.1080/03323315.2017.1327361

Weber, K. (2005). Students’ Understanding of Trigonometric Functions. Mathematics Education Research Journal, 17(3), 91–112. https://doi.org/10.1007/BF03217423

Yang, D. C., & Sianturi, I. A. (2017). An Analysis of Singaporean Versus Indonesian Textbooks Based on Trigonometry Content. Eurasia Journal of Mathematics, Science and Technology Education, 13(7), 3829–3848. https://doi.org/10.12973/eurasia.2017.00760a
Published
2024-03-31
How to Cite
Alfitri, P. A., Kurniati, N., Prabawanto, S., & Yulianti, K. (2024). An An Exploration of High School Students’ Errors in Solving Trigonometry Problems. Jurnal Cendekia : Jurnal Pendidikan Matematika, 8(1), 714-724. https://doi.org/10.31004/cendekia.v8i1.2109
Share |