An analysis of proportional reasoning ability of junior high school students
Ali Mahmudi, Department of Mathematics Education, Universitas Negeri Yogyakarta, Indonesia
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Aryvaty, A., & Saputra, C. (2013). Pengaruh model pembelajaran berbasis masalah (PBM) terhadap kemampuan penalaran proporsional siswa sekolah menengah pertama [The effect of problem-based learning model on the proportional reasoning ability of junior high school students]. Jurnal Pendidikan Matematika, 4(1), 61–72. https://doi.org/http://dx.doi.org/10.36709/jpm.v4i1.2002
Azwar, S. (2015). Tes prestasi, fungsi dan pengembangan pengukuran prestasi belajar [Achievement test, function and development of learning achievement measurement]. Pustaka Pelajar.
Ben-Chaim, D., Keret, Y., & Ilany, B. S. (2012). Ratio and proportion. Sense Publishers.
Carney, M. B., Hughes, G., Brendefur, J. L., Crawford, A., Totorica, T., & Smith, E. (2015). Analysis of students’ proportional reasoning strategies. The 37th Annual Conference of the North American Chapter of International Group for the Psychology of Mathematics Education, March 2016. https://scholarworks.boisestate.edu/cifs_facpubs/156/
Creswell, J. W., & Plano-Clark, V. L. (2011). Choosing a mixed methods design. Designing and Conducting Mixed Method Research, 2, 53–106. https://www.sagepub.com/sites/default/files/upm-binaries/10982_Chapter_4.pdf
Dooley, K. B. (2006). An investigation of proportional thinking among high school students [Doctoral dissertation, Clemson University]. https://tigerprints.clemson.edu/all_dissertations/17/
Hilton, A., Hilton, G., Dole, S., & Goos, M. (2016). Promoting middle school students’ proportional reasoning skills through an ongoing professional development programme for teachers. Educational Studies in Mathematics, 92(2), 193–219. https://doi.org/10.1007/s10649-016-9694-7
Howe, C., Nunes, T., & Bryant, P. (2011). Rational number and proportional reasoning: Using intensive quantities to promote achievement in mathematics and science. International Journal of Science and Mathematics Education. 9(2), 391–417. https://doi.org/10.1007/s10763-010-9249-9
Hurst, C., & Hurrell, D. (2016). Investigating children’s multiplicative thinking: Implications for teaching. European Journal of STEM Education, 1(3), 1–11. https://doi.org/10.20897/lectito.201656
Lamon, S. (2012). Teaching fractions and ratios for understanding: Ratio and proportion (3rd ed.). Routledge.
Lamon, S. J. (1993). Ratio and proportion: Connecting content and children’s thinking. Journal for Research in Mathematics Education, 24(1), 41–61. https://doi.org/10.2307/749385
Langrall, C. W., & Swafford, J. (2000). Three balloons for two dollars: Developing proportional reasoning. Mathematics Teaching in The Middle School, 6(4), 254–261. https://doi.org/10.5951/MTMS.6.4.0254
Lobato, J., & Ellis, A. B. (2010). Developing essential understandings of ratios, proportions, and proportional reasoning for teaching mathematics: Grades 6-8. National Council of Teachers of Mathematics.
Mcintosh, M. B. (2013). Developing proportional reasoning in middle school students [Master’s thesis, The University of Utah]. https://csme.utah.edu/wp-content/uploads/2013/06/Marcie-McIntosh.pdf
Modestou, M., & Gagatsis, A. (2010). Cognitive and metacognitive aspects of proportional reasoning. Mathematical Thinking and Learning, 12(1),36–53. https://doi.org/10.1080/10986060903465822
NCTM. (2000). Principles and standards for school mathematics. Author.
Nugraha, Y., Sujadi, I., & Pangadi, P. (2016). Penalaran proporsional siswa kelas VII [Grade VII students’ proportional reasoning]. Beta: Jurnal Tadris Matematika, 9(1), 34–47. https://doi.org/10.20414/betajtm.v9i1.2
Prayitno, A., Rossa, A., & Widayanti, F. D. (2019). Level penalaran proporsional siswa dalam meme¬cahkan missing value problem [The level of students’ proportional reasoning in solving the missing value problem]. Jurnal Riset Pendidikan Matematika, 6(2), 177–187. https://doi.org/10.21831/jrpm.v6i2.19728
Raharjanti, M., Nusantara, T., & Mulyati, S. (2016). Kesalahan siswa dalam menyelesaikan permasalahan perbandingan senilai dan berbalik nilai [Student errors in solving the problem of direct and inverse proportion]. Konferensi Nasional Penelitian Matematika dan Pembelajarannya (KNPMP I). https://publikasiilmiah.ums.ac.id/handle/11617/6971
Silvestre, A. I., & da Ponte, J. P. (2012). Missing value and comparison problems: What pupils know before the teaching of proportion. PNA, 6(3), 73–83. https://doi.org/10.30827/pna.v6i3.6142
Steinthorsdottir, O. B. (2005). Girls journey towards proportional reasoning. Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, 4, 225–232. https://www.emis.de/proceedings/PME29/PME29RRPapers/PME29Vol4Steinthorsdottir.pdf
Sumarto, S. N. (2013). Design research on mathematics education: Ratio table in developing the students’ proportional reasoning [Masters’ thesis, Universitas Sriwijaya, and Utrecht University]. http://www.fisme.science.uu.nl/en/impome/theses_group_2012/thesis_Sylvana.pdf
Tjoe, H., & Torre, J. De. (2013). Designing cognitively-based proportional reasoning problems as an application of modern psychological measurement models. Journal of Mathematics Education, 6(2), 17–26. http://personal.psu.edu/hht1/Tjoe_2013_JME.pdf
Van De Walle, J. A. (2007). Elementary and middle school mathematics: Teaching developmentally (6th ed.). Pearson Education.
Vig, R., Star, J. R., Dupuis, D. N., Lein, A. E., & Jitendra, A. K. (2015). Exploring the impact of knowledge of multiple strategies on students’ learning about proportions. In J. Middleton, J. Cai, S. Hwang (Eds.), Large-scale studies in mathematics education (pp. 61–73). Springer. https://doi.org/10.1007/978-3-319-07716-1_4
DOI: https://doi.org/10.21831/jrpm.v8i1.14995
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