Keywords
Mathematical Representation Ability
Characteristics of Thinking
Graph Theory
How to Cite
Abstract
Students abilities differ when given questions that require representing aspects to appear. This is because the ability of mathematical representation is influenced by the characteristics of the student way of thinking. The purpose of this study was to analyze the mathematical representation abilities of students in graph theory in terms of the characteristics of the way of thinking. This type of research uses qualitative research in the form of case studies. The research subjects were class B students in the sixth semester of IKIP PGRI Pontianak with one student taken for ways of thinking in Concrete Sequences (SK), Abstract Sequences (SA), Concrete Random (AK), and Abstract Random (AA) with selected using purposive sampling technique. The main instruments in this research is the researcher and the necessary supporting instruments include test questions on mathematical representation abilities, questionnaires on the characteristics of ways of thinking, and interview guidelines. To test the validity of the data used triangulation techniques. Data analysis was performed by data reduction, data presentation and conclusion. The results of the study showed that students with the SK and Sa way of thinking had fulfilled all the indicators of mathematical representation abilities, namely verbal, visual, and symbolic representations because their way of thinking was detailed and mastered the concept, while students with the AA and AK thinking only met the indicators of verbal representation due to the unstructured way of thinking and not mastering the concept.
References
DePotter, B., & Hernacki, M. (2016). Quantum learning: Unleasing the genius in you (Quantum learning: Membiasakan belajar nyaman dan menyenangkan). Bandung: Kaifa.
Effendi, A. L. (2012). Pembelajaran matematika dengan metode penemuan terbimbing untuk meningkatkan kemampuan representasi dan pemecahan masalah matematis siswa SMP. Jurnal Penelitian Pendidikan, 12(2), 1–10. Retrieved from http://jurnal.upi.edu/penelitian-pendidikan/view/1852
Handayani, H. (2015). Pengaruh pembelajaran kontekstual terhadap kemampuan pemahaman dan representasi matematis siswa Sekolah Dasar. Didaktik: Jurnal Ilmiah PGSD STKIP Subang, 1(1), 142–149. https://doi.org/10.36989/didaktik.v1i1.20
Harahap, L. M., & Rakhmawati, F. (2020). Analisis kemampuan representasi matematis siswa pada materi sistem persamaan linear dua variabel (SPLDV) di kelas VIII 3 MTs Al-Jam’iyatul Wasliyah Tembung. AXIOM: Jurnal Pendidikan dan Matematika, 9(1), 1–10. https://doi.org/10.30821/axiom.v9i1.7235
Herdiana, Y., Marwan, M., & Zubainur, C. M. (2019). Kemampuan representasi matematis dan self confidence siswa SMP melalui penerapan model problem based learning (PBL). Al-Qalasadi: Jurnal Ilmiah Pendidikan Matematika, 3(2), 23–35. https://doi.org/10.32505/v3i2.1368
Khairunnisa, Firdaus, M., & Oktaviana, D. (2020). Berdasarkan motivasi belajar siswa di kelas VII SMPIT Al-Mumtaz Pontianak. Jurnal Prodi Pendidikan Matematika (JPMM), 2(1), 71–80. Retrieved from https://jurnal.mipatek.ikippgriptk.ac.id/index.php/JPPM/article/view/110
Kusrianto, S. I., Suhito, S., & Wuryanto, W. (2016). Keefektifan model pembelajaran core berbantuan pop up book terhadap kemampuan siswa kelas VIII pada aspek representasi matematis. Unnes Journal of Mathematics Education, 5(2), 154–162. https://doi.org/10.15294/ujme.v5i2.12314
Lestanti, M. M., Isnarto, & Supriyono. (2016). Analisis kemampuan pemecahan masalah ditinjau dari karakteristik cara berpikir siswa dalam model problem based learning. Unnes Journal of Mathematics Education, 5(1), 16–23. https://doi.org/10.15294/ujme.v5i1.9343
Munir, R. (2012). Matematika diskrit revisi ke-5. Bandung: Informatika.
Myers, B., & Dyer, J. (2006). The influence of student learning style on critical thinking skill. Journal of Agricultural Education, 47(1), 43–52. https://doi.org/10.5032/jae.2006.01043
Oktaviana, D., & Haryadi, R. (2020). The model of based-problem learning, students problem-solving skills and characteristics of thinking way. Kawanua International Journal of Multicultural Studies, 1(1), 38–47. https://doi.org/10.30984/kijms.v1i1.8
Permata, J. I., Sukestiyarno, Y. L., & Hindarto, N. (2017). Analisis representasi matematis ditinjau dari kreativitas dalam pembelajaran CPS dengan asesmen diagnostik. Unnes Journal of Mathematics Education Research, 6(2), 233–241. Retrieved from https://journal.unnes.ac.id/sju/index.php/ujmer/article/view/20602
Putri, S. A., & Effendi, K. N. S. (2021). Analisis kemampuan representasi siswa SMK. JP3M (Jurnal Penelitian Pendidikan dan Pengajaran Matematika), 7(2), 69–78. https://doi.org/10.37058/jp3m.v7i2.2652
Rahayu, G. D., & Firdausi. (2016). Pengaruh gaya berpikir terhadap kemampuan koneksi matematis mahasiswa. JPPM (Jurnal Penelitian dan Pembelajaran Matematika), 9(2), 210–221. Retrieved from https://jurnal.untirta.ac.id/index.php/JPPM/article/view/999
Ramziah, S. (2018). Peningkatan kemampuan representasi matematis siswa kelas X2 SMAN 1 Gedung Meneng menggunakan bahan ajar matriks berbasis pendekatan saintifik. Mosharafa: Jurnal Pendidikan Matematika, 5(2), 138–147. https://doi.org/10.31980/mosharafa.v5i2.269
Sabirin, M. (2014). Representasi dalam pembelajaran matematika. Jurnal Pendidikan Matematika, 1(2), 33–44. https://doi.org/10.18592/jpm.v1i2.49
Sanjaya, I. I., Maharani, H. R., & Basir, M. A. (2018). Kemampuan representasi matematis siswa pada materi lingkaran berdasar gaya belajar Honey Mumfrod. Kontinu: Jurnal Penelitian Didaktik Matematika, 2(1), 60–72. https://doi.org/10.30659/kontinu.2.1.72-87
Sari, H. J., Kusaeri, A., & Mauliddin. (2020). Analisis kemampuan representasi matematis siswa dalam memecahkan masalah geometri. Jurnal Pendidikan Matematika Indonesia, 5(2), 56–66. Retrieved from https://journal.stkipsingkawang.ac.id/index.php/JPMI/article/view/1813
Setianto, I. E., & Risnanosanti. (2020). Kemampuan representasi matematis siswa SMP melalui pendekatan pembelajaran RME dan CTL pada sub pokok bahasan kubus dan balok. Indonesian Journal of Mathematics and Natural Science Education, 1(3), 175–181. https://doi.org/10.35719/mass.v1i3.50
Sugiyono. (2016). Metode penelitian pendidikan (Pendekatan kuantitatif, kualitatif, dan R & D). Bandung: Alfabeta.
Suningsih, A., & Istiani, A. (2021). Analisis kemampuan representasi matematis siswa. Mosharafa: Jurnal Pendidikan Matematika, 10(2), 225–234. https://doi.org/10.31980/mosharafa.v10i2.984
Widakdo, W. A. (2017). Mathematical representation ability by using project based learning on the topic of statistics. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012055
Zaenab, D. S., Adyanti, D. A., Fanani, A., & Ulinnuha, N. (2016). Aplikasi graph coloring pada penjadwalan perkuliahan di Fakultas Sains dan Teknologi UIN Sunan Ampel Surabaya. Jurnal Matematika “MANTIK,” 2(1), 30–39. https://doi.org/10.15642/mantik.2016.2.1.30-39
Zollinger, S. W., & Martinson, B. E. (2010). Do all designers think alike? What research has to say. Institute for Learning Styles Journal, 1, 1–15.
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