Analisis Kemampuan Representasi Matematika Siswa SMA Dalam Menyelesaikan Soal Geometri Berdasarkan Level Berpikir Van Hiele
DOI:
https://doi.org/10.33603/jnpm.v6i1.5330Abstract
Abstrak. Penelitian ini bertujuan untuk mendeskripsikan kemampuan siswa dalam mengilustrasi sebagai langkah dalam menyelesaikan soal yang berkaitan dengan geometri bidang datar berdasarkan level berpikir Van Hiele pada siswa SMA. Metode deskriptif kualitatif digunakan dalam penelitian ini dengan melibatkan 36 siswa dari salah satu SMA Negeri di kota Magetan. Teknik pengumpulan data yang digunakan yaitu tes, wawancara, dan dokumentasi. Data dianalisis secara kualitatif melalui reduksi data, penyajian data, penarikan kesimpulan. Hasil penelitian ini menunjukkan bahwa: 1) Siswa dengan kategori level berpikir Van Hiele tinggi mampu memenuhi level pengenalan, level analisis, dan level pengurutan, namun belum cukup mampu memenuhi level deduksi dan level keakuratan. 2) Siswa dengan kategori level berpikir Van Hiele sedang tergolong mampu memenuhi level pengenalan, dan level pengurutan, akan tetapi belum dapat memenuhi level analisis, level deduksi dan level keakuratan. 3) Sedangkan untuk siswa dengan kategori level berpikir Van Hiele rendah hanya dapat memenuhi level pengurutan. Hasil dari penelitian ini dapat digunakan sebagai gambaran bagi praktisi di dunia pendidikan matematika dalam memetakan kemampuan representatif matematis siswa dalam pembelajaran geometri.
Kata Kunci: Ilustrasi, Geometri Bidang, Level Berpikir Van Hiele
References
Ahamad, S. N. S. H., Li, H. C., Shahrill, M., & Prahmana, R. C. I. (2018). Implementation of Problem-Based Learning in Geometry Lessons. Journal of Physics: Conference Series, 943(1), 1–14. https://doi.org/10.1088/1742-6596/943/1/012008
Alex, J. K., & Mammen, K. J. (2016). Lessons Learnt From Employing Van Hiele Theory Based Instruction in Senior Secondary School Geometry Classrooms. EURASIA Journal of Mathematics, Science and Technology Education, 12(8), 2223–2236. https://doi.org/10.12973/eurasia.2016.1228a
AR, R. A., & Mahmud, N. (2018). Analisis Kemampuan Representasi Matematis dalam Pemecahan Masalah Geometri serta Faktor-Faktor yang Mempengaruhinya. Jurnal Review Pembelajaran Matematika, 3(2), 146–160. https://doi.org/10.15642/jrpm.2018.3.2.146-160
Avyani, T., & Pranata, O. H. (2017). Penggunaan Teori Van Hiele untuk Meningkatkan Hasil Belajar Siswa pada Materi Jaring-Jaring Kubus dan Balok. PEDADIDAKTIKA: Jurnal Ilmiah Pendidikan Guru Sekolah Dasar, 4(2), 19–27.
Baccelli, F., Klein, M., Lebourges, M., & Zuyev, S. (1997). Stochastic Geometry and Architecture of Communication Networks. Telecommunication Systems, 7(1–3), 209–227. https://doi.org/10.1023/a:1019172312328
Campbell, B., & Manning, J. (2019). Social Geometry and Social Control. In M. Deflem (Ed.), The Handbook of Social Control (pp. 50–62). https://doi.org/10.1002/9781119372394.ch4
Cartwright, K. (2020). Analyzing Students’ Communication and Representation of Mathematical Fluency During Group Tasks. Journal of Mathematical Behavior, 60, 1–18. https://doi.org/10.1016/j.jmathb.2020.100821
Chriss, N. (2009). Representation Theory and Complex Geometry. Switzerland: Springer Science & Business Media.
Dimmel, J. K., & Herbst, P. G. (2017). Secondary Mathematics Teachers’ Attitudes toward Alternative Communication Practices when Doing Proofs in Geometry. Teaching and Teacher Education, 68, 151–160. https://doi.org/10.1016/j.tate.2017.08.018
Hall, J., & Chamblee, G. (2013). Teaching Algebra and Geometry with GeoGebra: Preparing Pre-Service Teachers for Middle Grades/Secondary Mathematics Classrooms. Computers in the Schools, 30(1–2), 12–29. https://doi.org/10.1080/07380569.2013.764276
Ishartono, N., Desstya, A., Prayitno, H. J., & Sidiq, Y. (2021). The Quality of HOTS-Based Science Questions Developed by Indonesian Elementary School Teachers. Journal of Education Technology, 5(2), 236–245. https://doi.org/http://dx.doi.org/10.23887/jet.v5i2.33813
Koyuncu, I., Akyuz, D., & Cakiroglu, E. (2015). Investigating Plane Geometry Problem-Solving Strategies of Prospective Mathematics Teachers in Technology and Paper-And-Pencil Environments. International Journal of Science and Mathematics Education, 13(4), 837–862.
Lok, B., McNaught, C., & Young, K. (2016). Criterion-Referenced and Norm-Referenced Assessments: Compatibility and Complementarity. Assessment and Evaluation in Higher Education, 41(3), 450–465. https://doi.org/10.1080/02602938.2015.1022136
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
Minarni, A., Napitupulu, 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.
Muawanah, L. (2013). Analisis Kemampuan Siswa Menyelesaikan Soal Geometri Bangun Ruang Sisi Datar Berdasarkan Level Berpikir Geometri Van Hiele (Pada Siswa Kelas VIII MTS N 1 Surakarta Tahun 2012/2013). Disertasi tidak dipublikasikan, Surakarta, Universitas Muhammadiiyah Surakarta.
Mulligan, J. (2015). Looking Within and Beyond the Geometry Curriculum: Connecting Spatial Reasoning to Mathematics Learning. ZDM Mathematics Education, 47(3), 511–517. https://doi.org/10.1007/s11858-015-0696-1
Muslimin, M., & Sunardi, S. (2019). Analisis Kemampuan Penalaran Matematika Siswa SMA pada Materi Geometri Ruang. Kreano, Jurnal Matematika Kreatif-Inovatif, 10(2), 171–178. https://doi.org/10.15294/kreano.v10i2.18323
Noto, M. S., Hartono, W., & Sundawan, D. (2016). Analysis of Students Mathematical Representation and Connection on Analytical Geometry Subject. Infinity Journal, 5(2), 99–109. https://doi.org/10.22460/infinity.v5i2.216
Razak, F., & Sutrisno, A. B. (2017). Analisis Tingkat Berpikir Siswa Berdasarkan Teori Van Hiele Pada Materi Dimensi Tiga Ditinjau dari Gaya Kognitif Field Dependent. EDUMATICA | Jurnal Pendidikan Matematika, 7(02), 22–29. https://doi.org/10.22437/edumatica.v7i02.4214
Retnawati, H. (2016). Proving Content Validity of Self-Regulated learning Scale (The Comparison of Aiken Index and Expanded Gregory Index). Research and Evaluation in Education, 2(2), 155–164. https://doi.org/http://dx.doi.org/10.21831/reid.v2i2.11029
Retnawati, H., Arlinwibowo, J., & Sulistyaningsih, E. (2017). The Students’ Difficulties in Completing Geometry Items of National Examination. International Journal on New Trends in Education and Their Implications, 8(4), 28–41.
Russell, T. (2011). Symplectic Geometry: The Natural Geometry Of Economics?. Economics Letters, 112(3), 236–238. https://doi.org/10.1016/j.econlet.2011.05.001
Sandelowski, M. (2000). Focus On Research Methods: Whatever Happened to Qualitative Description?. Research in Nursing and Health, 23(4), 334–340. https://doi.org/10.1002/1098-240x(200008)23:4<334::aid-nur9>3.0.co;2-g
Sari, D. P., Darhim, D., & Rosjanuardi, R. (2018). Errors of Students Learning with React Strategy in Solving The Problems of Mathematical Representation Ability. Journal on Mathematics Education, 9(1), 121–128. https://doi.org/10.22342/jme.9.1.4378.121-128
Sunaryo, Y. (2020). Kemampuan Representasi Matematis Melalui Pembelajaran Berbasis Masalah Berbantuan Software Wolfram Mathematica. JNPM (Jurnal Nasional Pendidikan Matematika), 4(1), 85–94. https://doi.org/10.33603/jnpm.v4i1.2683
Sutama. (2019). Metode Penelitian Pendidikan Kuantitatif, Kualitatif, PTK, Mix Method, R&D (Quantitative Educational Research Methods, Qualitative, CAR, Mix Method, R & D). Surakarta: Jasmine.
Sutama, S., Prayitno, H. J., Narimo, S., Ishartono, N., & Sari, D. P. (2021). The Development of Student Worksheets Based on Higher Order Thinking Skill for Mathematics Learning in Junior High School. Journal of Physics: Conference Series, 1776(1), 1–8. https://doi.org/10.1088/1742-6596/1776/1/012032
Voronina, M. V., & Tretyakova, Z. O. (2017). The Experience of Teaching of Descriptive Geometry and Engineering Graphics in Russian language as a Foreign Language. International Journal of Environmental & Science Education, 12(1), 25–34.
Widakdo, W. A. (2017). Mathematical Representation Ability by Using Project Based Learning on the Topic of Statistics. Journal of Physics: Conference Series, 895(1), 1-7 https://doi.org/10.1088/1742-6596/895/1/012055
Yenni, Y., & Sukmawati, R. (2020). Analisis Kemampuan Representasi Matematis Mahasiswa Berdasarkan Motivasi Belajar. Mosharafa: Jurnal Pendidikan Matematika, 9(2), 251–262.
Zhang, D. (2017). Effects of Visual Working Memory Training and Direct Instruction on Geometry Problem Solving in Students with Geometry Difficulties. Learning Disabilities-A Contemporary Journal, 15(1), 117–138.
Zulfa, H., Saputro, D. R. S., & Riyadi, R. (2018). Analysis of Difficulties in Mathematics Learning on Students with Deictic Gesture Type in Problem-Solving HOTS Algebra Test. Journal of Physics: Conference Series, 1108(1), 1–10. https://doi.org/10.1088/1742-6596/1108/1/012074
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