Analysis of mathematical reasoning on trigonometry for students at high school: A case study on olympic class
Analisis kemampuan penalaran siswa SMA pada materi trigonometri: Studi kasus pada siswa kelas olimpiade
Abstrak
This study aims to examine the analysis of the level of mathematical reasoning ability of Olympic class students in solving trigonometric problems. The research method used is qualitative. The research was conducted at Depok Private High School in 2023/2024 with 8 Olympic class students as subjects. The results showed that the average mathematical reasoning ability of students reached 80% classified as moderate. In terms of mathematical reasoning ability in each indicator, the indicator of preparing evidence for the correctness of the solution reached 72.5%; the indicator of checking the validity of an argument reached 73.5%; the indicator of drawing conclusions from statements reached 73.5%; and the indicator of performing mathematical manipulation reached 100%. The results of the study can be concluded that students in the Olympic class at SMA Pribadi Depok have moderate reasoning ability. This result is because some students often forget to use the appropriate trigonometric formula to solve problems and lack of practice in trigonometric problems.
##plugins.generic.usageStats.downloads##
Referensi
Arikunto, S. (2013). Dasar-Dasar Evaluasi Pendidikan. Bumi Aksara.
Ariyanto, M. P., Nurcahyandi, Z. R., & Diva, S. A. (2023). Penggunaan Gamifikasi Wordwall untuk Meningkatkan Hasil Belajar Matematika Siswa. Mathema: Jurnal Pendidikan Matematika, 5(1), 1–10.
Bergqvist, E. (2007). Types of Reasoning Required in University Exams in Mathematics. Journal of Mathematical Behavior, 26(4), 348–370. https://doi.org/10.1016/j.jmathb.2007.11.001
Cahyanti, R. D., & Rahaju, E. B. (2019). Penalaran Siswa dalam Menyelesaikan Masalah Matematika Ditinjau dari Kemampuan Matematika. MATHEdunesa: Jurnal Ilmiah Pendidikan Matematika, 8(3), 611–617.
Depdiknas. (2003). Standar Kompetensi Mata Pelajaran Matematika SMP/MTs.
Eliza, R., Khadijah, K., & Wulandari, U. (2018). Motivasi dan Kemampuan Penalaran Matematis Siswa dengan Pembelajaran Kooperatif Tipe Pair Check Disertai Reward pada Materi Fungsi. Math Educa Journal, 2(2), 128–142.
Ernawati, E., & Firdaus, A. M. (2020). Analisis Kemampuan Matematis dalam Menyelesaikan Soal PISA pada Konten Kuantitas. Math Didactic: Jurnal Pendidikan Matematika, 6(2), 212–225. https://doi.org/10.33654/math.v6i2.921
Finken, M., & Ennis, R. H. (1993). Illinois Critical Thinking Essay Test.
Fitria, M., Ferita, R. A., Roniannor, M., Yanti, W., & Hidayat, F. (2023). Deskripsi Kemampuan Penalaran Matematis Siswa SMP pada Kompetensi Barisan dan Deret. Math Didactic: Jurnal Pendidikan Matematika, 9(2), 384–399. https://doi.org/10.33654/math.v9i2.2303
Graham, K. J., & Fennel, F. (2001). Principles and Standards for School Mathematics and Teacher Education: Preparing and Empowering Teachers. School Science and Mathematics, 101(6), 319–327.
Hadi, S., & Novaliyosi, N. (2019). TIMSS Indonesia (Trends in Mathematics and Science Study). Prosiding Seminar Nasional & Call for Papers Program Studi Magister Pendidikan Matematika Universitas Siliwangi, 562–569.
Hendriana, H., Rohaeti, E. E., & Sumarmo, U. (2018). Hard Skills dan Soft Skill Matematik Siswa. PT Refika Aditama.
Hill, H. C., & Ball, D. L. (2004). Learning Mathematics for Teaching: Results from California’s Mathematics Professional Development Institutes. Journal for Research in Mathematics Education, 35(5), 330–351.
Ikram, M. (2016). Eksplorasi Penalaran Siswa dalam Pemecahan Masalah Trigonometri Ditinjau dari Kemampuan Berpikir Logis pada Siswa Kelas XII-IPA. Jurnal Pendidikan Matematika Profesional, 1(1), 1–6.
Ilmi, M. B., & Rosyidi, A. H. (2017). Penalaran Siswa SMA dalam Pembuktian Matematika pada Materi Trigonometri Ditinjau dari Perbedaan Jenis Kelamin. MATHEdunesa: Jurnal Ilmiah Pendidikan Matematika, 3(6), 57–67.
Iqlima, T. W. (2020). Profil Penalaran Analogi Siswa dalam Pemecahan Masalah Matematika Ditinjau dari Kemampuan Matematika. MATHEdunesa: Jurnal Ilmiah Pendidikan Matematika, 9(1), 35–39.
Kalamu, L. Y. La. (2021). Pengaruh Locus of Control Terhadap Motivasi Belajar Siswa. KAMBOTI Jurnal Ilmu Sosial Dan Humaniora, 1(2), 133–143.
Kieran, C. (2004). Algebraic Thinking in the Early Grades: What Is It? The Mathematics Educator, 8(1), 139–151.
Latifa, A. N. (2017). Reasoning and Proof dalam Model Pembelajaran Reciprocal Materi Trigonometri Siswa SMA. Indonesian Digital Journal of Mathematics and Education, 4(6), 389–399. http://idealmathedu.p4tkmatematika.org
Lehrer, R., & Schauble, L. (2000). Developing Model-Based Reasoning in Mathematics and Science. Journal of Applied Development Psychology, 21(1), 39–48.
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. The National Council of Teachers of Mathematics.
Nurfadhilah, N., & MZ, Z. A. (2018). Kemampuan Penalaran Matematis Melalui Pembelajaran Contextual Teaching and Learning (CTL) pada Siswa SMP. Jurnal Elemen, 4(2), 171–182. https://doi.org/10.29408/jel.v4i2.714
Putri, R. C., Husna, A., & Amelia, F. (2021). Analisis Kemampuan Penalaran Matematis Siswa dalam Menyelesaikan Soal Cerita Aljabar ditinjau dari Gender di Kelas VIII SMP IT El-Yasin Batam. CAHAYA PENDIDIKAN, 7(2), 115–122.
Rohana, R., Sari, E. F. P., & Nurfeti, S. (2021). Analisis Kemampuan Representasi Matematis Materi Persamaan Linear Dua Variabel. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(2), 679. https://doi.org/10.24127/ajpm.v10i2.3365
Tamrin, M., Sirate, St. F. S., & Yusuf, Muh. (2011). Teori Belajar Konstruktivisme Vygotsky dalam Pembelajaran Matematika. Sigma (Suara Intelektual Gaya Matematika), 3(1), 40–47.
Utari, T., & Hartono, H. (2019). Muatan Penalaran dan Pembuktian Matematis pada Buku Teks Matematika SMA Kelas X Kurikulum 2013. Jurnal Riset Pendidikan Matematika, 6(1), 1–13. https://doi.org/10.21831/jrpm.v6i1.17002
Wardhani, S. (2008). Paket Fasilitasi Pemberdayaan KKG/ MGMP Matematika: Analisis SI dan SKL Mata Pelajaran Matematika SMP/ MTs untuk Optimalisasi Tujuan Mata Pelajaran Matematika. Pusat Pengembangan dan Pemberdayaan Pendidik dan Tenaga Kependidikan Matematika.
