Keefektifan pembelajaran matematika realistik ditinjau dari kemampuan pemodelan matematika dan prestasi belajar

Eki Rahmad, SMA Negeri 2 Ranah Batahan, Indonesia
Ariyadi Wijaya, Jurusan Pendidikan Matematika, Universitas Negeri Yogyakarta, Indonesia

Abstract


Tujuan penelitian ini adalah untuk menguji perbedaan keefektifan antara pembelajaran mate­matika realistik dan pembelajaran ekspositori ditinjau dari kemampuan pemodelan matematika dan prestasi belajar siswa SMP. Penelitian ini adalah penelitian quasi-experiment menggunakan pretest-posttest nonequivalent control group design. Populasi dalam penelitian ini adalah siswa kelas VIII SMP Negeri 15 Yogyakarta yang terdiri atas 10 kelas dan dipilih secara acak dua kelas yaitu siswa kelas VIII C (kelas eksperimen, n = 33) dan siswa kelas VIII F (kelas kontrol, n = 33) sebagai sampel penelitian. Instrumen yang digunakan dalam penelitian ini adalah tes uraian untuk mengukur kemampuan pemodelan matematika dan tes pilihan ganda untuk mengukur prestasi belajar siswa. Uji statistik menggunakan analisis multivariat Hotelling’s Trace pada taraf signifikansi 5% dilakukan untuk menguji hipotesis penelitian. Hasil penelitian menunjukkan bah­wa pembelajaran matematika realistik lebih baik dari pembelajaran ekspositori ditinjau dari kemampuan pemodelan matematika dan prestasi belajar siswa.


Effectivity of realistic mathematics education viewed from mathematics modelling competence and learning achievement

Abstract

The purpose of this study was to examine the difference in effectiveness between realistic mathematics education and expository learning viewed from mathematical modelling compe­tence and achievement of junior high school students. This study was quasi-experiment research with the pretest-posttest nonequivalent control group design. This study's population was the 8th-grade students of SMP Negeri 15 (junior high school) in Yogyakarta, Indonesia, consisting of ten classes. The sample in this study was the students of class VIII C (experiment group, n = 33) and VIII F (control group, n = 33) selected randomly. In this study, the instruments used were essay questions to measure mathematics modelling competence and multiple-choice questions to measure learning achievement. Statistical test using the Manova with the Hotelling's Trace test at a significance level of 5% was conducted to examine the hypothesis. The results showed that realistic mathematics education was better than expository learning viewed from students' ma­thematics modelling competence and learning achievement.


Keywords


Pembelajaran matematika realistik; pembelajaran ekspositori; kemampuan pemodelan matematika; prestasi belajar matematika; realistic mathematics education; expository learning; mathematics modelling competence; mathematics learning achievement

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References


Ali, M. (2010). Metodologi dan aplikasi riset pendidikan. Pustaka Cendikia.

Blomhøj, M., & Jensen, T. H. (2003). Developing mathematical modelling competence: conceptual clarification and educational planning. Teaching Mathematics and Its Applications, 22(3), 123-139. https://doi.org/10.1093/teamat/22.3.123

Blum, W. (2002). ICMI study 14 applications and modelling in mathematics education – discussion document. Educational Studies in Mathematics, 51, 149–171. https://doi.org/10.1023/A:1022435827400

Blum, W., Henn, H.-W., Galbraith, P. L., & Niss, M. (Eds.) (2007). Modelling and applications in mathematics education: The 14 th ICMI study. Springer. https://doi.org/10.1007/978-0-387-29822-1

Blum, W. (2011). Can modelling be taught and learnt? some answers from empirical research. In G. Kaiser, W. Blum, R. B. Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling ICTMA 14 (pp. 15-30). Springer. https://doi.org/10.1007/978-94-007-0910-2_3

Bray, A., & Tangney, B. (2016). Enhancing student engagement through the affordances of mobile technology: A 21st century learning perspective on realistic mathematics education. Mathematics Education Research Journal, 28, 173–197. https://doi.org/10.1007/s13394-015-0158-7

Confrey, J. (2007). Epistemology and modelling-overview. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 125–128). Springer. https://doi.org/10.1007/978-94-007-0910-2_3

Cowan, P. (2006). Teaching mathematics: A handbook for primary and secondary school teacher. Routledge.

Czocher, J. A. (2017). Mathematical modeling cycles as a task design heuristic. The Mathematics Enthusiast, 14(1), 129–140. https://scholarworks.umt.edu/tme/vol14/iss1/9/

Gravemeijer, K. (1999). How emergent models may foster the constitution of formal mathematics. Mathematical Thinking and Learning, 1(2), 155–177. https://doi.org/10.1207/s15327833mtl0102_4

Greefrath, G., & Vorhölter, K. (2016). Teaching and learning mathematical modelling. Springer. https://doi.org/10.1007/978-3-319-45004-9

Greer, B., & Verschaffel, L. (2007). Modelling competencies – Overview. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 218–224). Springer. https://doi.org/10.1007/978-94-007-0910-2_3

Hawkins, K. B., Florian, L., & Rouse, M. (2007). Achievement and inclusion in schools. Routledge.

Henning, H., & Keune, M. (2007). Levels of modelling competencies. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 225–232). Springer. https://doi.org/10.1007/978-94-007-0910-2_3

Hidiroglu, Ç. N., & Guzel, E. B. (2013). Conceptualization of approaches and thought processes emerging in validating of model in mathematical modeling in technology aided environment. Educational Sciences: Theory & Practice, 13(4), 2499-2506. https://doi.org/10.12738/estp.2013.4.1932

Kaiser, G., & Brand, S. (2015). Modelling competencies: Past development and further perspectives. In G. A. Stillman, W. Blum, & M. S. Biembengut (Eds.), Mathematical modelling in education research and practice (pp. 129–149). Springer. https://doi.org/10.1007/978-3-319-18272-8_10

Kaiser, G., & Schwarz, B. (2010). Authentic modelling problems in mathematics education – examples and experiences. Journal for Didactics of Mathematics, 31, 51–76. https://doi.org/10.1007/s13138-010-0001-3

Maaß, K. (2006). What are modelling competencies. ZDM – Mathematics Education, 38, 113–142. https://doi.org/10.1007/BF02655885

Mullis, I. V., Martin, M. O., Foy, P., & Arora, A. (2012). TIMSS 2011 international results in mathematics. TIMSS & PIRLS International Study Center, Lynch School of Education. https://timssandpirls.bc.edu/timss2011/downloads/t11_ir_mathematics_fullbook.pdf

Nainggolan, P. (2009). Pengaruh pendekatan matematika realistik dan motivasi belajar siswa terhadap kemampuan pemodelan matematika siswa smp di Lubuk Pakam TP. 2008/2009 [Master’s thesis, Universitas Negeri Medan]. http://digilib.unimed.ac.id/id/eprint/2704

Nitko, A. J., & Brookhart, S. M. (2011). Educational assessment of students. Pearson Education.

OECD. (2009). Learning mathematics for life: A perspective from PISA. OECD Publishing. https://doi.org/10.1787/9789264075009-en

OECD. (2010). PISA 2009 Results: Executive summary. OECD Publishing. https://doi.org/10.1787/9789264091450-2-en.

OECD. (2014). PISA 2012 results: What students know and can do. OECD Publishing. https://doi.org/10.1787/9789264208780-en.

Phye, G. D. (1997). Handbook of classroom assessment learning, achievement, and adjustment. Academic Press.

Pollak, H. (2006). Modelling in mathematics classrooms: Reflections on past developments and the future. ZDM – Mathematics Education, 38, 178–195. https://doi.org/10.1007/BF02655888

Puspendik. (2014). Laporan hasil ujian nasional tahun pelajaran 2013-2014 [Software]. Balitbang Kemdikbud RI.

Puspendik. (2015). Laporan hasil ujian nasional tahun pelajaran 2014-2015 [Software]. Balitbang Kemdikbud RI.

Puspendik. (2016). Laporan hasil ujian nasional tahun pelajaran 2015-2016 [Software]. Balitbang Kemdikbud RI.

Sopia, H. F., & Wutsqa, D. U. (2015). Keefektifan pendekatan realistik ditinjau dari prestasi belajar, kemampuan pemecahan masalah, dan kepercayaan diri matematika. Pythagoras: Jurnal Pendidikan Matematika, 10(2), 146–154. https://doi.org/10.21831/pg.v10i2.9139

Van den Heuvel-Panhuizen, M. V. (2003). The didactical use of model in realistic mathematics education: An example from longitudinal trajectory on percentage. Educational Studies in Mathematics, 54, 9–35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc

Wahidin, W., & Sugiman, S. (2014). Pengaruh pendekatan PMRI terhadap motivasi berprestasi, kemampuan pemecah¬an masalah, dan prestasi belajar. Pythagoras: Jurnal Pendidikan Matematika, 9(1), 99–109. https://doi.org/10.21831/pg.v9i1.9072

Wijaya, A. (2012). Pendidikan matematika realistik suatu alternatif pendekatan pembelajaran matematika. Graha Ilmu.

Zaini, A., & Marsigit. (2014). Perbandingan keefektifan pembelajaran matematika dengan pendekatan matematika realistik dan konvensional ditinjau dari kemampuan penalaran dan komunikasi matematik siswa. Jurnal Riset Pendidikan Matematika, 1(2), 152–163. https://doi.org/10.21831/jrpm.v1i2.2672




DOI: https://doi.org/10.21831/pg.v15i1.34593

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