Email this article Penalaran Proporsional Siswa SMP Kelas IX dalam Menyelesaikan Masalah Matematika ditinjau dari Gender
Abstract
Penelitian ini merupakan penelitian kualitatif yang bertujuan untuk mendeskripsikan penalaran proporsional siswa smp laki-laki dan perempuan dalam menyelesaikan masalah matematika. Subjek penelitian terdiri dari siswa laki-laki dan perempuan kelas IX SMPN 2 Bangsal Mojokerto. Penelitian ini dimulai dengan memberikan Tes Kemampuan Matematika (TKM) untuk mendapatkan dua subjek dengan kemampuan matematika yang setara. Kemudian dilanjutkan dengan pemberian Tugas Penalaran Proporsional (TPP) dan wawancara. Pengecekan keabsahan data menggunakan triangulasi waktu. Hasil penelitian ini menunjukkan bahwa siswa laki-laki dan perempuan menunjukkan aktivitas penalaran proporsional pada komponen 1) memahami kovariasi, 2) mengenali situasi proporsional dan non-proporsional, 3) mengaplikasikan strategi multiplikatif dan 4) memahami syarat penggunaan rasio, pada saat menyelesaikan masalah jenis “missing value”. Kemudian untuk jenis masalah “numerical comparison” diperoleh hasil bahwa hanya siswa laki-laki yang menunjukkan aktivitas penalaran proporsional sedangkan siswa perempuan mengenali bahwa jenis masalah tersebut merupakan situasi non-proporsional.
This research is a qualitative research which aimed to describe the proportional reasoning of male and female students on solving mathematical problems. The subject of this research are two students, they are male and female students at IX grade of SMPN 2 Bangsal Mojokerto. This study begins by giving the Mathematical Ability Test (TKM) to get two subjects with similar mathematical abilities and then it continued with Proportional Reasoning Task (TPP) and interviews. The checking of the data validity using triangulation of time. The results of this study showed that in the reasoning of proportional component, there is activity of the male and female students in 1) understand covariation, 2) recognize proportional and non-proportional situations, 3) apply multiplicative strategies and 4) understand terms of use of ratios, when resolving type problems "missing value". For the type of "numerical comparison" problem, only male student showed proportional reasoning activities whereas female students recognize that the type of problem as a non-proportional situation.
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Avcu, R., & Avcu, S. (2010). 6 th grade students’ use of different strategies in solving ratio and proportion problems. Procedia-Social and Behavioral Sciences, 9, 1277-1281.
Benbow, C. P., Lubinski, D., Shea, D. L., & Eftekhari-Sanjani, H. (2000). Sex differences in mathematical reasoning ability at age 13: Their status 20 years later. Psychological science, 11(6), 474-480.
Berk, D., Taber, S. B., Gorowara, C. C., & Poetzl, C. (2009). Developing prospective elementary teachers' flexibility in the domain of proportional reasoning. Mathematical Thinking and Learning, 11(3), 113-135.
Boyer, T. W., Levine, S. C., & Huttenlocher, J. (2008). Development of proportional reasoning: where young children go wrong. Developmental Psychology, 44(5), 1478.
Brodie, K. (2010). Teaching mathematical reasoning in secondary school classrooms (Vol. 775). New York: Springer Science & Business Media.
Langrall, C. W., & Swafford, J. (2000). Three balloons for two dollars: Developing proportional reasoning. Mathematics teaching in the middle school,6(4), 254.
Lohman, D. F., & Lakin, J. M. (2009). Reasoning and intelligence. Handbook of intelligence, 1-47.
Norton, S. J. (2005, July). The construction of proportional reasoning. In Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 17-24).
Park, J. S., Park, J. H., & Oh, N. K. (2010). Characterizing the proportional reasoning of middle school students.
Santrock, J.W. (2007). Psikologi Perkembangan. (Ed. 11 Jilid 1). Jakarta: Erlangga
Steinthorsdottir, O. B. (2005). Girls journey towards proportional reasoning.International Group for the Psychology of M athematics Education, 225.
Steinthorsdottir, O. B., & Sriraman, B. (2007). Gender and strategy use in proportional situations: an Icelandic study. Nordic Studies in Mathematics Education, 12(3), 25-56.
Suriasumantri, J. S. (2010). Filsafat Ilmu: Sebuah Pengantar Populer. Jakarta: Pustaka Sinar Harapan.
Vince, M. (2011). Reasoning in every day life. Diunduh dari http://dai.fmph.uniba.skpada tanggal 12 November 2016.
Walle, J. A., Karp, K. S., & Williams, J. M. B. (2013). Elementary and middle school mathematics. Teaching development. Boston: Pearson.
Wellington, J., & Ireson, G. (2013). Science learning, science teaching. New York: Routledge.
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