Profile of Students Mathematical Representation in Solving Trigonometric Problems Based on Mathematics Ability
Abstract
Abstract: Profile of students mathematical representation in solving trigonometric problems based on mathematics ability. Objectives: This study aims to determine and describe students mathematical representational abilities in solving trigonometric problems based on mathematical abilities. Methods: This research is a qualitative research with a descriptive approach, in this study 3 subjects were selected from 36 students. Data was collected through tests and interviews. Findings: Students with high math skills are good at using visual representations and quite good at using equation representations or mathematical expressions. Students with moderate mathematical ability are quite good at using visual representations and representations of mathematical equations or expressions. Students with low mathematical ability are quite good at using visual representations but are still not good at using representations of mathematical equations or expressions. Conclusion: The three research subjects only involved visual representations and mathematical equations or expressions, but did not involve representations of words or written text in solving problems.
Keywords: Mathematical representation, problem solving, and mathematical ability.
Abstrak: Profil representasi matematis siswa dalam memecahkan masalah trigonometri berdasarkan kemampuan matematika. Tujuan: Penelitian ini bertujuan untuk mengetahui dan mendeskripsikan kemampuan representasi matematis siswa dalam memecahkan masalah trigonometri berdasarkan kemampuan matematika. Metode: Penelitian ini merupakan penelitian kualitatif dengan pendekatan deskriptif, pada penelitian ini dipilih 3 subjek dari 36 siswa. Pengumpulan data dilakukan melalui tes dan wawancara. Temuan: Siswa berkemampuan matematika tinggi baik dalam menggunakan representasi visual dan cukup baik dalam menggunakan representasi persamaan atau ekspresi matematika. Siswa berkemampuan matematika sedang cukup baik dalam menggunakan representasi visual dan representasi persamaan atau ekspresi matematika. Siswa berkemampuan matematika rendah cukup baik dalam menggunakan representasi visual namun masih kurang baik dalam menggunakan representasi persamaan atau ekspresi matematika. Kesimpulan: Ketiga subjek penelitian hanya melibatkan representasi visual dan persamaan atau ekspresi matematika, namun tidak melibatkan representasi kata-kata atau teks tertulis dalam memecahkan masalah.
Kata kunci: Representasi matematis, pemecahan masalah, dan kemampuan matematika.
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Fuad, M. N. (2016). Representasi matematis siswa SMA dalam memecahkan masalah persamaan kuadrat ditinjau dari perbedaan gender [Mathematical representation of high school students in solving quadratic equation problems in terms of gender differences]. KREANO: Jurnal Matematika Kreatif-Inovatif, 7(2): 145-152.
Gunawan, I. (2015). Metode Penelitian Kualitatif Teori & Praktik (Suryani, Ed.). Jakarta: Bumi Aksara.
Gustina, L. S. (2018). Analisis kemampuan representasi matematis dalam menyelesaikan soal teorema pythagoras siswa kelas VIII SMP Al Islam Kartasura tahun ajaran 2017/2018 [Analysis of mathematical representation abilities in solving the Pythagorean theorem questions for class VIII students of SMP Al Islam Kartasura for the 2017/2018 academic year]. Publikasi Ilmiah: 1-15.
Handayani, H. (2015). Pengaruh pembelajaran kontekstual terhadap kemampuan pemahaman dan representasi matematis siswa sekolah dasar [The effect of contextual learning on elementary school students' mathematical understanding and representation abilities]. Pendidikan Guru Sekolah Dasar, 1(1): 142-149.
Junita, R. (2016). Kemampuan representasi dan komunikasi matematis peserta didik SMA ditinjau dari prestasi belajar dan gaya kognitif [Mathematical representation and communication skills of high school students in terms of learning achievement and cognitive style]. PYTHAGORAS: Jurnal Pendidikan Matematika, 11(2): 193-206.
Miles, M. B. & Huberman, A. M. (1994). An expanded sourcebook: qualitative data analysis (2nd ed.). Retrieved 25 November 2017 from http://www. books.google.co.id.
Munalikatasari, & Rosyidi. (2016). Representasi siswa SMP dalam memecahkan masalah matematika berdasarkan kemampuan matematika [Representation of junior high school students in solving mathematical problems based on mathematical ability]. MATHEdunesa, 3(5), 112-121.
Moleong. (2010) Metodologi penelitian kualitatif. Bandung: PT Remaja Rosdakarya.
NCTM. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
NRC. (1989). Everybody counts. A report to the nation on the future of mathematics education. Washington DC: National Academy Press.
Polya, G. (1985). How to solve I. A new aspect mathematical methods. New Jersey: Pearson Education. Inc.
Probondani, S. D. (2016). Pengaruh kecerdasan logis-matematis terhadap kemampuan representasi matematis peserta didik kelas XI Madrasah Aliyah Wathoniyah Islamiyah Banyumas tahun ajaran 2015/2016 pada materi pokok trigonometri [The effect of logical-mathematical intelligence on the mathematical representation ability of class XI students of Madrasah Aliyah Wathoniyah Islamiyah Banyumas academic year 2015/2016 on trigonometry main material] (Thesis). Retrieved from http://eprints.walisongo.ac.id/id/eprint/5912/
Sabirin, M. 2014. Representasi dalam pembelajaran matematika [Representation in Mathematics Learning]. Jurnal Pendidikan Matematika, 01(2), 33-44.
Salkind, G. M., & Hjalmarson, M. (2007). Mathematical Representations. Spring. George Mason University. Retrieved 9 November 2017 from http://mason.gmu.edu/~gsalkind/portfolio/products/857LitReview.pdf
Saputri, & Masduki. (2017). Analisis Kemampuan Representasi Matematis dalam Menyelesaikan Soal Materi Himpunan pada Siswa Kelas VII SMP Negeri 2 Baki [Analysis of mathematical representation ability in solving problems on set materials for class V II SMP Negeri 2 Baki]. Prosiding Seminar Nasional Pendidikan Matematika, 1-8.
Sugiman, Kusumah, Y. S., & Sabandar, J. (2009). Pemecahan masalah matematik dalam matematika realistik [Mathematical problem solving in realistic mathematics]. 1-8. Retrieved from http://staffnew.uny.ac.id/upload/131930135/penelitian/2009a_PM_dalam_PMR.pdf
Sugiyono. (2010). Metode Penelitian pendidikan Pendekatan Kuantitatif, Kualitatif dan R & D. Bandung: Alfabeta.
Suherman, E., Turmudi, Suryadi, D., Herman, T. (2001). Common Text Book: Strategi Pembelajaran Matematika Kontemporer (Turmudi Ed.). Bandung: JICA-Universitas Pendidikan Indonesia.
Utomo, E. S. (2015). Representasi visual dalam menyelesaikan masalah kontekstual [Visual representation in solving contextual problems]. APOTEMA, 1(1), 37-42.
Warisi, K. (2016). Representasi matematis berdasarkan tingkat kemampuan dalam memecahkan masalah sistem persamaan linier dua variabel siswa kelas VIII SMP Inshafuddin Banda Aceh [Mathematical representation based on ability level in solving two variable linear equation system problems for class VIII students of SMP Inshafuddin Banda Aceh] (Thesis). Retrieved from https://repository.ar-raniry.ac.id/id/eprint/1080/
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