Analisis Kemampuan Penalaran Matematis Siswa dalam Menyelesaikan Soal Materi Dimensi Tiga
DOI:
https://doi.org/10.30606/absis.v4i1.894Keywords:
Abstract
The purpose of this study was to describe students' mathematical reasoning abilities in solving three-dimensional material problems. The measured mathematical reasoning ability indicators include presenting mathematical statements in written and pictured (I1), submitting conjectures (I2), manipulating mathematics (I3), compiling evidence, giving reasons for the truth of the solution (I4), and making conclusions (I5). This research was a descriptive qualitative research with the subject of research were the students of class XII IPS 2 of SMA Negeri 5 Batam, which number 43 students. Data collection techniques using tests and interviews. The data collected was analyzed by procedures according to Miles and Huberman which included data reduction, data presentation, and concluding. Based on the analysis results, there were 32.5% of the subjects studied had a high mathematical reasoning ability by obtaining an average of 78.11 which needs to be increased again to I5 because it obtained an average with a low category of 47.43%. For moderately capable students there are 27.5% of the subjects studied by obtaining an average of 63.63 but for an average score of I4 and I5 is 57.77% still needs to be improved and for students with low ability there is 40% from the subjects studied by obtaining an average of 42.08 which needs to be increased again for all indicators of mathematical reasoning ability.
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References
Adegoke, B. A. (2013) Modelling the Relationship between Mathematical Reasoning Ability and Mathematics Attainment. J. Educ. Pract., vol. 4 No.17 pp. 54–61.
Afrilia, Y., & Fadiana, M. (2020). Profil kemampuan penalaran matematis siswa SMA dalam menyelesaikan soal dimensi tiga. Jurnal Riset Pembelajaran Matematika, 2(1), 15-22.
Akbar, G. A. M., Diniyah, A. N., Akbar, P., Nurjaman, A., & Bernard, M. (2018). Analisis Kemampuan Penalaran dan Self Confidence Siswa SMA Dalam Materi Peluang. Journal On Education P, 1(1), 14–21.
Basra, M., M, Kms., Fauzi, A. (2017). An analysis of students’ mathematical reasoning ability using metacognitive strategy based-learning in Malay culture among junior high school students. Journal of Education and Practice, 8(21), 87-92.
Herbert, S., Vale, C., Bragg, L.A., Loong, E., and Widjaja, W. (2015). A framework for primary teachers’ perceptions of mathematical reasoning. International Journal of Educational Research. 74, 26-37. https://doi.org/10.1016/j.ijer.2015.09.005.
Hidayati, A., & Widodo, S. (2015). Proses Penalaran Matematis Siswa dalam Memecahkan Masalah Matematika pada Materi Pokok Dimensi Tiga Berdasarkan Kemampuan Siswa di SMA Negeri 5 Kediri. Jurnal Math Educator Nusantara, Vol 1(2), 1–13.
Johansson, H. (2016). Mathematical reasoning requirements in Swedish National Physics Tests. International Journal of Science and Mathematics Education, 14(6), 1133-1152. doi: 10.1007/s10763-015-9636-3
Kadarisma, G., Rosyana, T., & Nurjaman, A. (2019). Pengaruh minat belajar matematika terhadap kemampuan penalaran matematik siswa SMP. Jurnal Absis, 2(1), 121-128.
Keraf, G. (2010). Argumentasi dan Narasi. Jakarta: PT Gramedia.
Nike, M. T. (2015). Penalaran deduktif dan induktif siswa dalam pemecahan masalah trigonometri ditinjau dari tingkat IQ. Apotema, 1(2), 67–75.
Peraturan Menteri Pendidikan Nasional (Permendiknas) Republik Indonesia Tahun 2006 tentang Standar Isi.
Retnawati, H. (2016). Analisis Kuantitatif Intrumen Penelitian (1st ed.). Yogyakarta: Parama Publishing.
Sofyana, U. M., & Kusuma, A. B. (2018). Upaya meningkatkan kemampuan penalaran matematis siswa menggunakan pembelajaran generative pada Kelas VII SMP Muhammadiyah Kaliwiro. KONTINU: Jurnal Penelitian Didaktik Matematika, 2(2), 11–23.
Sugiyono, S. (2016). Metode Penelitian Pendidikan; Pendekatan kuantitatif, Kualitatif, dan R&D (23rd ed.). Bandung: Alfabeta.
Sulistiawati, S., Suryadi, D., & Fatimah, S. (2015). Desain Didaktis Penalaran Matematis untuk Mengatasi Kesulitan Belajar Siswa SMP pada Luas dan Volume Limas. Kreano, Jurnal Matematika Kreatif-Inovatif, 6(2), 135-146. https://doi.org/10.15294/kreano.v6i2.4833
Sumarsih, Budiyono, & Indriati, D. (2018). Profile of mathematical reasoning ability of 8 th gradestudents seen from communicational ability, basic skills, connection, and logical thinking. IOP Conf. Series: Journal of Physics: Conf. Series 1008 (2018) 012078, 1-10.
Sumartini, T. S. (2015). Peningkatan kemampuan penalaran matematis siswa melalui pembelajaran berbasis masalah. Jurnal Pendidikan Matematika, 5(1).
Tiurma, L., & Retnawati, H. (2014). Keefektifan pembelajaran multimedia materi dimensi tiga ditinjau dari prestasi dan minat belajar matematika di SMA. Journal Institut Keguruan Ilmu Pendidikan Yogyakarta, 44(2), 175–187. https://doi.org/10.21831/jk.v44i2.5230
Wardhani, S. (2008). Analisis SI dan SKL Mata Pelajaran Matematika SMP/MTs untuk Optimalisasi Tujuan Mata Pelajaran Matematika. Yogyakarta: Pusat Pengembangan Dan Pemberdayaan Pendidik dan Tenaga Kependidikan Matematika.
Widiyasari, R., & Nurlaelah, E. (2019). Mathematical reasoning ability materials quadratic equation on selected topics subject of secondary school International Conference on Mathematics and Science Education (ICMScE 2018). IOP Conf. Series: Journal of Physics: Conf. Series, 1157 (2019) 022120.
Wahyuni, E.S., Susanto, Hadi, A. F. (2019). Profile of the student’s mathematical reasoning ability in solving geometry problem. IOP Conf. Series: Journal of Physics: Conf. Series, 1211 (2019) 012079, 1-9.
Wahyuni, Z., Roza, Y., & Maimunah, M. (2019). Analisis Kemampuan Penalaran Matematika Siswa Kelas X Pada Materi Dimensi Tiga. Jurnal Ilmiah Pendidikan Matematika Al-Qalasadi, 3(1), 81–92, https://doi.org/10.32505/qalasadi.v3i1.920.
Zaenab, S. (2015). Analisis Kemampuan Penalaran Matematis Siswa Melalui Pendekatan Problem Posing di Kelas X IPA 1 SMA Negeri 9 Malang. JINoP (Jurnal Inovasi Pembelajaran), 1(1), 90. https://doi.org/10.22219/jinop.v1i1.2451
