Nurjailam Hamzah, Siti Mistima Maat, Zanaton Ikhsan

A Systematic Review on Pupils’ Misconceptions and Errors in Trigonometry

Systematic literature review (SLR) relies on a thorough and auditable methodology to reduce bias and ensure high reliability. This bias can be reduced through four main processes namely identification, screening, eligibility and inclusion. The SLRs discussed in this article are related to Pupils’ misconceptions and errors in trigonometry. The articles used in this review were accessed from January 2011 to January 2021. Five databases were used to screen past study articles, namely Scopus, ERIC, Dimensions, Web of Science (WoS), and Google Scholar. The systematic literature review procedure included search strategies, selection criteria, selection process, data collection, and data analysis. A total of 26 articles were identified through set criteria such as year of publication and type of language. The study found articles that determine the misconceptions in trigonometry and ways to eliminate them. The findings also discovered that learning trigonometry using manipulative materials and digital form software could eliminate misconceptions. Therefore, further research is needed and more general keywords should be used to identify the appropriate methods in determining and eliminating misconceptions in learning trigonometric components.

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Ahmad, H., Febryanti, F., Muthmainnah, M., Yakin, A. Al & Sarbi, S. 2018. The Analysis of Student Error in Solve the Problem of Spherical Trigonometry Application. Journal of Physics: Conference Series 1114(1). doi:10.1088/1742-6596/1114/1/012114
Aminudin, M., Nusantara, T., Par ta, I. N., Ra hardjo, S., As’Ari, A. R. & Subanji. 2019. Engaging problems on trigonometry: Why were student hard to think critically? Journal of Physics: Conference Series 1188(1). doi:10.1088/1742- 6596/1188/1/012038
Andika, R., Juandi, D. & Rosjanuardi, R. 2017. Analysing Diagnostic Assessment on the Ratio of Sine in a Right Triangle. Journal of Physics: Conference Series 895(1). doi:10.1088/1742- 6596/895/1/012095
Bernard, M., Sumarna, A., Rolina, R. & Akbar, P. 2019. Development of high school student work sheets using VBA for microsoft word trigonometry materials. Journal of Physics: Conference Series 1315(1). doi:10.1088/1742-6596/1315/1/012031
Centillas Jr., C. L. & Larisma, C. C. M. 2016. Error Analysis of Trigonometry Students in a Technological University. JPAIR Institutional Research 7(1): 56–66. doi:10.7719/irj.v7i1.372
Çepni, S. & Şahin, Ç. 2012. Effect of Different Teaching Methods and Techniques Embedded in the 5E Instructional Model on Students ’ Learning about Buoyancy Force. Eurasian Journal of Physics and Chemistry Education 4(2): 97–127.
Chua, G. L. L., Shahrill, M. & Tan, A. 2016. Common misconceptions of algebraic problems: Identifying trends and proposing possible remedial measures. Advanced Science Letters 22(5–6): 1547–1550. doi:10.1166/asl.2016.6675
Dewanto, M. D., Budiyono, B. & Pratiwi, H. 2018. Studentsr Error Analysis in Solving The Math Word Problems of High Order Thinking Skills (HOTS) Type on Trigonometry Application. Atlantis Press. 218(ICoMSE 2017): 195–200. doi:10.2991/ icomse-17.2018.34
Fahrudin, D., Mardiyana & Pramudya, I. 2019. Profile of students’ errors in trigonometry equations. Journal of Physics: Conference Series 1188(1). doi:10.1088/1742-6596/1188/1/012044
Hadi, W. & Faradillah, A. 2020. Application of Discovery Learning Method in Mathematical Proof of Students in Trigonometry. Desimal: Jurnal Matematika 3(1): 73–82. doi:10.24042/djm. v3i1.5713
Hidayati, U. 2020. Ana lysis of Student Errors in Solving Trigonometry Problems. Journal of Mathematics Education 5(1): 54–60. Ibrahim, K. & llyas, Y. 2016. Teaching a concept with GeoGebra: Periodicity of trigonometric functions*. Educational Research and Reviews 11(8): 573–581. doi:10.5897/err2016.2701
Jorda, E. R. & De los Santos, O. C. 2015. Effect of computer game- based learning on the performance in trigonometry of the ESEP high school students. Technological University of the Philippines 1–9. Retrieved from http://www.makeuseof.com/tag/5-reasons- Karthikeyan, R. 2017. Trigonometry Learning For the School Students in Mathematics. Iconic Research and Engineering Journals 1(5): 44–49.
Law, F. F., Shahrill, M. & Mundia, L. 2015. Investigating students’ conceptual knowledge and procedural skills in the learning of college level trigonometry. Research Journal of Applied Sciences, Engineering and Technology 9(11): 952–962. doi:10.19026/ rjaset.9.2588
Luneta, K. & Giannakopoulos, P. 2019. Problem Solving In Mathematics: Use of Teaching and Learning Theories versus the Psychology of Teaching and Learning Mathematics. ATINER’s Conference Paper Proceedings Series MAT2019-01: 1–15.
Maknun, C. L., Rosjanuardi, R. & Jupri, A. 2019. From ratios of right triangle to unit circle: An introduction to trigonometric functions. Journal of Physics: Conference Series 1157(2). doi:10.1088/1742-6596/1157/2/022124
Makonye, J. P. & Luneta, K. 2014. Mathematical errors in differential calculus tasks in the Senior School Certificate Examinations in South Africa. Education as Change 18(1): 119–136. doi:10.1 080/16823206.2013.847014
May, V. & Courtney, S. 2016. Developing meaning in trigonometry. Illinois Mathematics Teacher 63(1): 25–33.
May, Valerie & Courtney, S. 2016. Developing Meaning in Trigonometry. Illinois Mathematics Teacher 25–33.
Mensah, F. S. 2017. Ghanaian senior high school students ’ error in learning of trigonometry ghanaian senior high school students ’ rrror in learning of trigonometry. International Journal of Environmental & Science Education 12(8): 1709–1717.
Mensah, F. S. 2017. Ghanaian Senior High School Students’ Error in Learning of Trigonometry. International Journal Of Environmental & Science Education 12(8): 1709–1717.
Nabie, M. J., Akayuure, P., Ibrahim-bariham, U. A. & Sofo, S. 2018. Trigonometric Concepts : Pre-Service Teachers ’. Journal on Mathematics Education 9(2): 169–182.
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). doi:10.1088/1742-6596/1776/1/012012
Ngu, B. H. & Phan, H. P. 2020. Learning to Solve Trigonometry Problems That Involve Algebraic Transformation Skills via Learning by Analogy and Learning by Comparison. Frontiers in Psychology 11(September): 1–11. doi:10.3389/fpsyg.2020.558773
Ozkan, E. M. & Ozkan, A. 2012. Misconception in exponential numbers in IST and IIND level primary school mathematics. Procedia - Social and Behavioral Sciences 46(2012): 65–69.
Prabowo, A., Anggoro, R. P., Adiyanto, R. & Rahmawati, U. 2018. Interactive Multimedia-based Teaching Material for Trigonometry. Journal of Physics: Conference Series 1097(1). doi:10.1088/1742-6596/1097/1/012138
Prabowo, A., Usodo, B. & Pambudi, I. 2019. Field-independence versus field-dependence: A serious game on trigonometry learning. Journal of Physics: Conference Series 1188(1). doi:10.1088/1742-6596/1188/1/012100
Rohani, A. W., Riyan, H. & Effandi, Z. 2014. Analisis kesilapan dalam pembelajaran pengamiran. Jurnal Pendidikan Matematik 2(2): 14–30.
Sari, R. H. Y. & Wutsqa, D. U. 2019. Analysis of student’s error in resolving the Pythagoras problems. Journal of Physics: Conference Series 1320(1). doi:10.1088/1742-6596/1320/1/012056
Siyepu, S. W. 2015. Analysis of errors in derivatives of trigonometric functions. International Journal of STEM Education 2(1). doi:10.1186/s40594-015-0029-5
Tawfik, G. M., Dila, K. A. S., Mohamed, M. Y. F., Tam, D. N. H., Kien, N. D., Ahmed, A. M. & Huy, N. T. 2019. A step by step guide for conducting a systematic review and meta-analysis with simulation data. Tropical Medicine and Health 47(1): 1–9. doi:10.1186/s41182-019-0165-6
Tezer, M. & Cumhur, M. 2017. Mathematics through the 5E instructional model and mathematical modelling: The geometrical objects. Eurasia Journal of Mathematics, Science and Technology Education 13(8): 4789–4804. doi:10.12973/ eurasia.2017.00965a
Tuna, A. & Kacar, A. 2013. The effect of 5E learning cycle model in teaching trigonometry on students’ academic achievement and the permanence of their knowledge. International Journal on New Trends in Education and Their Implications 4(1): 73–87.
Ulyani, O. & Qohar, A. 2021. Development of manipulative media to improve students’ motivation and learning outcomes on the trigonometry topic. AIP Conference Proceedings 2330(March). doi:10.1063/5.0043142
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. doi:10.9790/5728-13020 40104
Veloo, A., Krishnasamy, H. N. & Wan Abdullah, W. S. 2015. Types of student errors in mathematical symbols, graphs and problem- solving. Asian Social Science 11(15): 324–334. doi:10.5539/ass. v11n15p324
Yasin, A. 2017. a Review of Research on the Misconceptions in Mathematics Education. Education Research Highlights in Mathematics, Science and Technology (2017): 21–31.
Yusha’u, M. A. 2013. Difficult Topics in Junior Secondary School Mathematics : Practical Aspect of Teaching and Learning Trigonometry. Scientific Journal of Pure and Applied Science 2: 161–174.