Analysis the proportional reasoning abilities of senior high school students in solving mathematical problems
Analisis kemampuan penalaran proporsional siswa SMA dalam memecahkan masalah matematika
Abstrak
Penelitian ini bertujuan untuk menganalisis kemampuan penalaran proporsional siswa SMA dalam memecahkan masalah matematika. Subjek pada penelitian deskriptif kualitatif ini adalah 3 siswa kelas X SMA Negeri 2 Salatiga berkemampuan matematika tinggi. Instrumen utama adalah peneliti sendiri, didukung oleh instrumen tes dan pedoman wawancara. Data hasil tes dan wawancara dianalisis menggunakan langkah reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa ketiga subjek memiliki kemampuan penalaran proporsional yang berbeda dalam memecahkan masalah matematika. Kemampuan penalaran proporsional subjek S cenderung berada pada level 1 dengan menunjukkan strategi menggunakan gambar dan membuat perbandingan kualitatif. Kemampuan penalaran proporsional subjek F cenderung berada pada level 2 dengan menunjukkan strategi menghubungkan model melalui perhitungan numerik, menggunakan unit komposit, dan menggunakan penalaran kuantitatif. Kemampuan penalaran proporsional subjek M cenderung berada pada level 3 dengan menunjukkan strategi menggunakan cara formal dan mengetahui hubungan invarian dan kovarian. Ketiga subjek menunjukkan kemampuan penalaran proporsional pada level 0 dalam memecahkan masalah yang memerlukan perbandingan aditif dan multiplikatif dengan hanya menggambarkan situasi perubahan dalam pandangan aditif.
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Referensi
Acton, M. (2009). Teenage well-being. Retrieved from https://www.tusla.ie/uploads/content/Teenagers_Wellbeing_d3.pdf
Artut, P.D., & Pelen, M.S. (2015). 6th Grade Students’ Solution Strategies on Proportional Reasoning Problems. Procedia - Social and Behavioral Sciences, 197(February), 113–119.
Căprioară, D. (2015). Problem Solving - Purpose and Means of Learning Mathematics in School. Procedia - Social and Behavioral Sciences, 191, 1859–1864.
Cetin, H., & Ertekin, E. (2011). The relationship between eighth-grade primary school students’ proportional reasoning skills and success in solving equations. International Journal of Instruction, 4(1), 47–62.
Dole, S., Clarke, D., Wright, T., & Hilton, G. (2012). Students’ proportional reasoning in mathematics and science. In Tso, T.Y. (Ed). Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education, 2, 195–202. Taipei, Taiwan: PME.
Dole, S., Wright, T., & Clarke, D. (n.d.). Proportional Reasoning. Making Connections in Science and Mathematics, 1–18. https://doi.org/10.1027/1618-3169.56.2.92
Dooley, K. B. (2006). an Investigation of Proportional Thinking Among High School Students. (December).
Frith, V., & Lloyd, P. (2016). Investigating Proportional Reasoning in a University Quantitative Literacy Course. 9(1).
Isroil, A., Budayasa, I.K., & Masriyah, M. (2018). Profil Berpikir Siswa SMP dalam Menyelesaikan Masalah Matematika Ditinjau dari Kemampuan Matematika. Jurnal Review Pembelajaran Matematika, 2(2), 93.
Jung, S. P., Jee, H. P., & Oh, N. K. (2010). Characterizing the Proportional Reasoning of Middle School Students. The SNU Journal Of Education Research, 119–144.
Langrall, C. W., & Swafford, J. (2000). Three Balloons for Two Dollars: Developing Proportional Reasoning. Mathematics Teaching in the Middle School, 6(4), 254–261.
Lewis, E.T. (2012). Qualitative Data Analysis: A Participatory View. Retrieved from http://emmathereselewis.com/Papers/Data Analysis Feb12.pdf
Montague, M. (2004). Math Problem Solving for Middle School Students with Disabilities. American Institutes for Research, 1–13.
Nugraha, Y., Sujadi, I., & Pangadi. (2016). Penalaran proporsional siswa kelas VII. Beta - Jurnal Tadris Matematika, 9(1), 34–47.
OECD. (2013). PISA 2012 Assessment and Analytical Framework: Mathematics, Reading, Science, Problem Solving and Financial Literacy.
Ojose, B. (2015). Proportional Reasoning and Related Concepts: Analysis of Gaps and Understandings of Middle-Grade Students. Universal Journal of Educational Research, 3(2), 104–112.
Ortiz, A. M. (2015). Examining Students’ Proportional Reasoning Strategy Levels as Evidence of the Impact of an Integrated LEGO Robotics and Mathematics Learning Experience. Journal of Technology Education, 26(2), 46–69.
Parish, L. (2010). Facilitating the Development of Proportional Reasoning through Teaching Ratio. In L. Sparrow, B. Kissane, & C. Hurst (Eds.). Shaping the Future of Mathematics Education: Proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia., 469–476. Fremantle: MERGA.
Prayitno, A., Rossa, A., Widayanti, F. D., Rahayuningsih, S., Hamid, A. A., & Baidawi, M. (2018). Characteristics of Students ’ Proportional Reasoning In Solving Missing Value Problem. Journal of Physics: Conference Series, 0–6.
Şen, C., & Güler, G. (2017). Effect of Strategy Teaching For the Solution of Ratio Problems on Students ’ Proportional Reasoning Skills. Malaysian Online Journal of Educational Sciences, 5(2), 1–15.
Syahlan. (2017). Sepuluh strategi dalam pemecahan masalah matematika. Indonesian Digital Journal of Mathematics and Education, 4(6), 358–369.
Thompson, C. S., & Bush, W. S. (2003). Improving middle school teachers’ reasoning about proportional reasoning. Mathematics Teaching in the Middle School, 8(8), 398–403.
Utami, R. W., & Wutsqa, D. U. (2017). Analisis Kemampuan Pemecahan Masalah Matematika dan Self-Efficacy Siswa SMP Negeri di Kabupaten Ciamis. Jurnal Riset Pendidikan Matematika, 4(2), 166–176.
Walle, J.A.V. (2007). Matematika Sekolah Dasar dan Menengah. (Terjemahan Suyono). Jakarta: Penerbit Erlangga.
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