Analisis Kesalahan Siswa SMK PGRI 4 Blitar dalam Menyelesaikan Soal pada Materi Trigonometri
DOI:
https://doi.org/10.56916/jp.v4i3.2274Abstract
Mathematical errors refer to students’ inaccuracies in understanding, applying, or communicating mathematical concepts and procedures, which lead to answers that deviate from the expected results. Therefore, this study aims to analyze the types of errors made by Grade X students at SMK PGRI 4 Blitar in solving trigonometry problems, specifically on the topics of special angles, the sine rule, the cosine rule, and the area of a triangle. This research employs a qualitative descriptive method involving three students selected based on their levels of mathematical ability: high, medium, and low. Data were collected through written tests and interviews, and were analyzed using three categories of errors: conceptual, procedural, and communicative. The findings indicate that students made various types of errors—including conceptual, procedural, and communicative—committed by participants SP1, SP2, and SP3. These errors stemmed from a lack of understanding of basic concepts, incorrect problem-solving procedures, and difficulties in communicating mathematical ideas, including the representation and notation of mathematical symbols during the learning process. This study provides a clear picture of the challenges students face in understanding trigonometry and offers valuable insights for evaluating and improving mathematics teaching strategies at the vocational high school level.
References
Ernawati, dkk. (2021). Pembelajaran matematika di SMA. Yogyakarta: Pustaka Pelajar.
Fennema, E., & Romberg, T. A. (1999). Mathematics Teaching: An International Perspective. Journal of Research in Mathematics Education, 30(1), 88-90.
Gelfand, I. M. (2017). The Book of Trigonometry and Its Applications, Treatise on the Quadrilateral Nashiruddin At-Tusi (1201 – 1274).
Haryati, S. (2017). Belajar dan pembelajaran berbasis cooperative learning. Yogyakarta: Graha Cendekia. (ejournal.yana.or.id, pt.scribd.com, staff.universitaspahlawan.ac.id)
Hidayat, M., & Mariani, D. (2021). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Trigonometri dengan Pendekatan Kontekstual. Jurnal Pendidikan dan Pengajaran Matematika, 17(1), 109-111.
Hutajulu, M., Senjayawati, & Minarti, A. (2020). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Matematika pada Materi Bangun Ruang di Sekolah Menengah Kejuruan (SMK).
Imron dalam Haryati (2017:1). Pembelajaran Kooperatif sebagai Salah Satu Model Pembelajaran Aktif di Perguruan Tinggi. Jurnal Pendidikan Indonesia.
Jamaris. In A. Maryani (Ed.), (2018). Kesulitan belajar anak (hlm. 60–80). Yogyakarta: Pustaka Pelajar.
Khanifa & Nusantara. (2015). Jenis-Jenis Kesalahan Siswa dalam Pembelajaran Matematika dan Solusinya. Yogyakarta: Penerbit Nusantara. Kristayulita, (2020: 4).
Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
Kristayulita, T. (2020). Dasar dasar trigonometri (hlm. 1–150). Bandung: Yrama Widya.
Mahdi, A. (2020). Kesulitan belajar matematika (hlm. 45–76). Jakarta: Rajawali Pers.
Mason, J., & Johnston-Wilder, S. (2006). Developing Thinking in Geometry. Oxford: Oxford University Press.
Maryani, A. (2018). Psikologi pendidikan anak. Yogyakarta: Pustaka Pelajar.
Nurjan, S. (2016). Psikologi pendidikan (hlm. 20–145). Bandung: Remaja Rosdakarya.
Polya, G. (1973). How to Solve It: A New Aspect of Mathematical Method (2nd ed.). Princeton University Press.
Pramesti, C., & Prasetya, A. (2021). Analysis of Students’ Mathematics Learning Difficulty Levels in Using Mathematical Principles. Edumatica : Jurnal Pendidikan Matematika, 11(2), 9–17. https://doi.org/10.22437/edumatica.v11i02.11091
Reber dalam Nurjan (2016:15-16). Psikologi Pendidikan: Perspektif Kontemporer. Jurnal Pendidikan Indonesia.
Sanjaya, W. (2006). Strategi pembelajaran: Berorientasi standar proses pendidikan. Jakarta: Kencana.
Sari, R., & Andriani, M. (2019). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Trigonometri. Jurnal Pendidikan Matematika Indonesia, 12(3), 75-77.
Schoenfeld, A. H. (1985). Mathematical problem solving. New York, NY: Academic Press. 409 hlm. (jurnalp4i.com, journal.aripi.or.id)
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334–370). New York, NY: Macmillan.
Setyawan, A., & Hadi, S. (2020). Kesalahan Siswa dalam Menggunakan Identitas Trigonometri. Jurnal Matematika dan Pendidikan, 15(2), 96-98.
Srigambun, A. (2017). Metode Penelitian Sosial: Teori dan Praktik. Yogyakarta: Pustaka Pelajar.
Slameto. In S. Nurjan (Ed.), (2016). Psikologi pendidikan (hlm. 161–178). Bandung: Remaja Rosdakarya.
Sudjono. In Y. Yeni (Ed.), (2015). Kesulitan belajar matematika (hlm. 25–40). Bandung: Remaja Rosdakarya.
Sugiyono. (2017). Metode Penelitian Pendidikan: Pendekatan Kuantitatif, Kualitatif, dan R&D. Bandung: Alfabeta.
Sugiyono. (2018: 94). Nugrahani mengungkapkan cuplikan atau sampling berkaitan dengan pembatasan jumlah dan jenis sumber data yang akan digunakan dalam penelitian (2014: 98)
Suryani, S. (2014). Metodologi Penelitian Pendidikan. Jakarta: Rajawali Pers.
Tharp, R. G., & Gallimore, R. (1988). Raising Teaching Effectiveness. Educational Leadership, 46(3), 33-35.
Tyas, F. (2016). Kesulitan belajar matematika di sekolah. Jakarta: Rajawali Pers.
Van de Walle, J. A. (2004). Elementary and Middle School Mathematics: Teaching Developmentally (6th ed.). Boston: Pearson.
Van Hiele, P. M. (1986). Structure and Insight: A Theory of Mathematics Education. New York: Academic Press.
Wahyu, D., & Pratama, M. (2017). Analisis Kesalahan Siswa dalam Menggunakan Kalkulator dalam Pembelajaran Trigonometri. Jurnal Pendidikan Matematika, 8(2), 60-62.
Winkel, S. (2014). In Y. Yuberti (Ed.), Psikologi pembelajaran (hlm. 50–75). Jakarta: RajaGrafindo Persada.
Yeni, Y. (2015). Kesulitan belajar matematika. Bandung: Remaja Rosdakarya.
Yusuf, M., & Mahmud, R. (2018). Kesalahan siswa dalam fungsi trigonometri. Jurnal Pendidikan Matematika Nusantara, 4(1), 15–24. Semarang: Universitas PGRI Semarang. (ojs.fkip.ummetro.ac.id, trigin.pelnus.ac.id, ejournal.yana.or.id)
Yusuf, M., & Mahmud, I. (2018). Kesalahan Siswa dalam Menerapkan Fungsi Trigonometri pada Soal Cerita. Jurnal Penelitian Pendidikan Matematika, 9(1), 82-84.
Yuberti, Y. (2014). Belajar dan pembelajaran matematika. Jakarta: Rajawali Pers.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Riko Aditya Saputra, Sitta Khoirin Nisa, Cicik Pramesti, Suryanti
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
