Karakterisasi Representasi Matematis Visual dan Simbolik Siswa Kelas IX pada Materi Transformasi
Keywords:
representasi matematis, representasi visual, representasi simbolik, transformasi
Abstract
Penelitian ini bertujuan untuk mengeksplorasi representasi matematis siswa terutama secara visual gambar dan simbolik dengan subjek transformasi dalam pembelajaran matematika. . Jenis penelitian yang digunakan adalah penelitian deskriptif kualitatif. Dalam penelitian ini, tiga dari 32 siswa kelas subjek penelitian menggunakan purposive sampling. Instrumen yang digunakan dalam penelitian ini adalah tugas representasi matematis siswa dan pedoman wawancara. Analisis data yang digunakan diambil dari 3 komponen representasi matematis untuk transformasi yang dapat digunakan adalah representasi visual, representasi simbolik melalui gambar, dan menggunakan kata-kata untuk memecahkan masalah. Dari hasil penelitian ditemukan bahwa kemampuan representasi matematis siswa dalam materi transformasi, subyek pertama (S1) pada kategori siswa berkemampuan tinggi memenuhi representasi matematis yang lengkap dan sangat baik. Subyek kedua (S2) lengkap dan memenuhi kemampuan representasi matematis dengan cukup baik. Subyek ketiga (S3) memiliki hasil yang tidak lengkap dan tidak memenuhi representasi matematis. Dari penelitian berikut dapat disimpulkan bahwa representasi matematis simbolik terutama melalui gambar masih rendah. Dengan demikian, untuk penelitian lebih lanjut, dapat menjadi masukan bagi guru untuk dapat lebih variatif dalam penyajian materi dan pendalaman materi yang mengasah ketrampilan siswa dalam menggambar persamaan garis lurus dan menggunakan alat peraga seperti penggaris, busur, dan jangkar.
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References
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Widdah, H., & Faradiba, S. S. (2022). Analisis Literasi Matematika Pada Pembelajaran Matriks Menggunakan Mind Mapping. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(2), 1670–1681. https://doi.org/10.31004/cendekia.v6i2.1374
Alimuddin, H., & Trisnowali, A. (2018). Profil Kemampuan Spasial Dalam Menyelesaikan Masalah Geometri Siswa yang Memiliki Kecerdasan Logis. HISTOGRAM: Jurnal Pendidikan Matematika, 2(2), 169. https://doi.org/10.31100/histogram.v2i2.238
Alkhateeb, M. (2018). Multiple Representations in 8th Grade Mathematics Textbook and the Extent to which Teachers Implement Them. International Electronic Journal of Mathematics Education, 14(1). https://doi.org/10.12973/iejme/3982
Aminah, S., Wijaya, T. T., & Yuspriyati, D. (2018). Analisis Kemampuan Komunikasi Matematis Siswa Kelas Viii Pada Materi Himpunan. Jurnal Cendekia : Jurnal Pendidikan Matematika, 2(1), 15–22. https://doi.org/10.31004/cendekia.v2i1.29
Arfany, F. P., & Faradiba, S. S. (2022). Karakterisasi Kesalahan Konsep Matematis Siswa dalam Menyelesaikan Soal Relasi dan Fungsi. 06(03), 3044–3058.
Cooper, J. L., & Alibali, M. W. (2012). Visual Representations in Mathematics Problem-Solving: Effects of Diagrams and Illustrations. 281–288.
Creswell, J. W. (2009). Research Design, Qualitative, Quantitative, and Mixed Methods Approaches. Third Edition. SAGE Publications Inc.
Faradiba, S. S., Fuady, A., & Sari, D. N. (2021). Pseudo Abstraksi Reflektif Dalam Menyelesaikan Masalah Barisan Bilangan. HISTOGRAM: Jurnal Pendidikan Matematika, 4(2), 409–422. https://doi.org/10.31100/histogram.v4i2.685
Farokhah, L., Herman, T., & Jupri, A. (2019). Students’ ability of mathematical representation on statistics topic in elementary school. Journal of Physics: Conference Series, 1157(3). https://doi.org/10.1088/1742-6596/1157/3/032110
Fauzi, K. M. A., Dirgeyase, I. W., & Priyatno, A. (2019). Building Learning Path of Mathematical Creative Thinking of Junior Students on Geometry Topics by Implementing Metacognitive Approach. International Education Studies, 12(2), 57. https://doi.org/10.5539/ies.v12n2p57
Firdaus, M., Studi Pendidikan Matematika, P., & PGRI Pontianak, I. (2019). Kemampuan Representasi Matematis Dalam Materi Fungsi Dengan Pendekatan Open Ended pada Siswa Kelas VIII MTs Sirajul Ulum Pontianak.
Hwang, W. Y., Chen, N. S., Dung, J. J., & Yang, Y. L. (2007). Multiple representation skills and creativity effects on mathematical problem solving using a multimedia whiteboard system. Educational Technology and Society, 10(2), 191–212.
Knuth, E. J., Alibali, M. W., Mcneil, N. M., Weinberg, A., & Stephens Madison, A. C. (2005). Middle School Students’ Understanding of Core Algebraic Concepts: Equivalence & Variable 1. In ZDM (Vol. 37, Issue 1).
Kusumah, E. C. (2016). Peningkatan Kemampuan Representasi Matematis Siswa Melalui Model Means-Ends Analysis Dalam Pembelajaran Matematika.
Lohi, H., Mardiyana, & Pramudya, I. (2021). How Students’ Difficulty in Implementing Mathematical Representations in Solving Problem of Statistical Content is? Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME
2021), 597, 118–122. https://doi.org/10.2991/assehr.k.211122.016
Machaba, F. M., & Machaba, F. (2016). Pythagoras-Journal of the Association for Mathematics Education of South Africa Affiliation. https://doi.org/10.4102/pythagoras
Maulyda, M. A. (2019). Paradigma Pembelajaran Matematika Berbasis NCTM. CV IRDH.
Minarni, A., Napitupulu, E. E., & Husein, R. (2016). Mathematical understanding and representation ability of public junior high school in North Sumatra. Journal on Mathematics Education, 7(1), 43–56. https://doi.org/10.22342/jme.7.1.2816.43-56
Mulyono, B., & Hapizah, H. (2018). Pemahaman Konsep Dalam Pembelajaran Matematika. KALAMATIKA Jurnal Pendidikan Matematika, 3(2), 103–122. https://doi.org/10.22236/kalamatika.vol3no2.2018pp103-122
Nafi Rohyana, N., Kalijaga Yogyakarta, S., & Author, C. (2021). Profil Kemampuan Pemecahan Masalah Matematis Siswa Kelas VIII MTs pada Materi Lingkaran. Jurnal Pendidikan Matematika, 5(2), 205–217. https://doi.org/10.31100/histogram.v5i2.931
Nugroho, A. A., Nizaruddin, N., Dwijayanti, I., & Tristianti, A. (2020). Exploring students’ creative thinking in the use of representations in solving mathematical problems based on cognitive style. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 5(2), 202–217. https://doi.org/10.23917/jramathedu.v5i2.9983
Permendikbudristek Nomor 21. (2022). Permendikbudristek No_21 Tahun 2022_ Standar Penilaian Pendidikan.
Pramata Sari, D., & Rosjanuardi, R. (2018). rrors Of Students Learning With React Strategy In Solving The Problems Of Mathematical Representation Ability. Journal on Mathematics Education, 9(1), 121–128.
Sa, C., & Muksar, M. (2020). Multiple Representations’ Ability in Solving Word Problem. https://doi.org/10.4108/eai.20-9-2019.2292114`state
Saifiyah, S., & Retnawati, H. (2019). Why is Mathematical Representation Difficult for Students? Journal of Physics: Conference Series, 1397(1). https://doi.org/10.1088/1742-6596/1397/1/012093
Samsuddin, A. F., & Retnawati, H. (2018). Mathematical representation: The roles, challenges and implication on instruction. Journal of Physics: Conference Series, 1097(1). https://doi.org/10.1088/1742-6596/1097/1/012152
Santri, F., Fakultas Tarbiyah, S., Tadris, D., & Bengkulu, I. (2017). Kemampuan RepResentasi Matematis dan Kemampuan Pembuktian Matematika. Jurnal Edumath, 3(1), 49–55. http://ejournal.stkipmpringsewu-lpg.ac.id/index.php/edumath
Susanti, E., & Faradiba, S. S. (2022). Analisis Kemampuan Koneksi Matematika Peserta Didik dalam Memecahkan Masalah Matematika Berdasarkan Metacognitive Awereness Inventory. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(2), 1203–1209. https://doi.org/10.31004/cendekia.v6i2.1344
Syahnaz, R. A. G. L., Anggareni, D. K., & Setiawan, Y. E. (2021). Analisis Kemampuan Penalaran Matematis Siswa Kelas X SMA pada Materi Sistem Persamaan Linear Tiga Variabel. Wahana Matematika dan Sains: Jurnal Matematika, Sains, dan Pembelajarannya, 15(2), 1–14.
Utomo, D. P., & Syarifah, D. L. (2021). Examining mathematical representation to solve problems in trends in mathematics and science study: Voices from Indonesian secondary school students. International Journal of Education in Mathematics, Science and Technology, 9(3), 540–556. https://doi.org/10.46328/IJEMST.1685
Widdah, H., & Faradiba, S. S. (2022). Analisis Literasi Matematika Pada Pembelajaran Matriks Menggunakan Mind Mapping. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(2), 1670–1681. https://doi.org/10.31004/cendekia.v6i2.1374
Published
2023-08-16
How to Cite
Cahyaningrum, I., Fuady, A., & Faradiba, S. (2023). Karakterisasi Representasi Matematis Visual dan Simbolik Siswa Kelas IX pada Materi Transformasi. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(3), 2646-2659. https://doi.org/10.31004/cendekia.v7i3.1944
Section
Articles
Copyright (c) 2023 Ira Yoshita Cahyaningrum, Anies Fuady, Surya Sari Faradiba
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
