Kemampuan Berpikir Refraktif Matematis Mahasiswa melalui Pembelajaran Peer-Assited Reflection

Authors

  • Isra Nurmai Yenti Institut Agama Islam Negeri Batusangkar http://orcid.org/0000-0002-8372-2708
  • Yaya S. Kusumah Program Studi Pendidikan Matematika, Universitas Pendidikan Indonesia
  • Jarnawi Afghani Dahlan Program Studi Pendidikan Matematika, Universitas Pendidikan Indonesia

DOI:

https://doi.org/10.29408/jel.v7i2.3516

Keywords:

prior mathematical knowledge, mathematical refractive thinking ability, Peer-Assisted Reflection learning

Abstract

Refractive thinking needs to be developed in lectures because it has an essential role in decision-making. However, so far, there has not been found any relevant research that develops refractive thinking through applying a learning strategy. The purpose of this study was to obtain an overview of the enhancement of students' mathematical refractive thinking ability based on prior mathematical knowledge through the application of Peer-Assisted Reflection learning and the influence of the interaction of learning factors and the level of prior mathematical knowledge on enhancing mathematical refractive thinking ability. This research is a quantitative study with a quasi-experimental design. Using the purposive sampling technique, 73 students were selected to take the Multivariable Calculus course. The research sample was students who took the Multivariable Calculus course. The instrument used was a prior mathematical knowledge test and a mathematical refractive thinking ability test. Data analysis used t-test, t’-test, Mann-Whitney U test, Aligned Rank Transform, and two-way ANOVA. The findings of this study are: (1) The enhancement of students' mathematical refractive thinking ability who got Peer-Assisted Reflection learning is better than those who got conventional learning for all levels of prior mathematical knowledge; and (2) There is no significant effect on the interaction between learning and prior mathematical knowledge on improving mathematical refractive thinking ability.

Author Biography

Isra Nurmai Yenti, Institut Agama Islam Negeri Batusangkar

Mathematics Education

References

Angraini, L. M., & Wahyuni, A. (2021). The effect of concept attainment model on mathematical critical thinking ability. International Journal of Instruction, 14(1), 727-742. https://doi.org/10.29333/iji.2021.14144a.

Black, P., Harrison, C., Lee, C., Marshall, B., & Wiliam, D. (2003). Assessment for learning: Putting it into Practice. Maidenhead: Open University Press.

Calkins, S., Grannan, S., & Siefken, J. (2020). Using peer-assisted reflection in math to foster critical thinking and communication skills. PRIMUS, 30(4), 475-499. https://doi.org/10.1080/10511970.2019.1608608.

Fatmalasari, D. A., & Siswono, T. Y. E. (2020). Refractive thinking of visualizer and verbalizer students in solving geometry problems. Jurnal Ilmiah Pendidikan Matematika Volume, 9(2). 356-362. https://doi.org/10.26740/mathedunesa.v9n2.p356-362.

Ghasemi, A., & Zahediasl, S. (2012). Normality tests for statistical analysis: A guide for non-statisticians. International Journal of Endocrinology and Metabolism, 10(2), 486-489. https://doi.org/10.5812/ijem.3505.

Hake, R. R. (1998). Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics, 66(1), 64-74. https://doi.org/10.1119/1.18809.

Higgins, J. J., Blair, R. C., & Tashtoush, S. (1990). The aligned rank transform procedure. In Proceedings of Annual Conference on Applied Statistics in Agriculture (hlm. 185-195). Kansas: New Prairie Press. https://doi.org/10.4148/2475-7772.1443.

Jumaisyaroh, T., Napitupulu, E. E., & Hasratuddin, H. (2015). Peningkatan kemampuan berpikir kritis matematis dan kemandirian belajar siswa SMP melalui pembelajaran berbasis masalah. Kreano, Jurnal Matematika Kreatif-Inovatif, 5(2), 157-169. https://doi.org/10.15294/kreano.v5i2.3325.

Maslukha, M., Lukito, A., & Ekawati, R. (2018). Refractive thinking profile in solving mathematical problem reviewed from students math capability. Journal of Physics: Conference Series, 947(1), 012022. https://doi.org/10.1088/1742-6596/947/1/012022.

Meltzer, D. E. (2002). The relationship between mathematics preparation and conceptual learning gains in physics: A possible “hidden variable†in diagnostic pretest scores. American Journal of Physics, 70(12), 1259-1268. https://doi.org/10.1119/1.1514215.

Nicol, D., Thomson, A., & Breslin, C. (2013). Rethinking feedback practices in higher education: A peer review perspective. Assessment & Evaluation in Higher Education, 39(1), 102-122. https://doi.org/10.1080/02602938.2013.795518.

Nika, K., Wiryokusumo, I., & Karyono, H. (2019). Pengaruh penggunaan model kooperatif tipe numbered head together dan direct instruction terhadap hasil belajar matematika pokok bahasan aritmatika sosial ditinjau dari kemampuan awal. Jurnal Education and Development, 7(3), 42-42.

Nindiasari, H., Kusumah, Y. S., Sumarmo, U., & Sabandar, J. (2014). Pendekatan metakognitif untuk meningkatkan kemampuan berpikir reflektif matematis siswa SMA. Edusentris, 1(1), 80-90. https://doi.org/10.17509/edusentris.v1i1.136.

Pagano, M. & Roselle, L. (2009). Beyond reflection: Refraction and international experiential learning. Frontiers: The Interdisciplinary Journal of Study Abroad, 18, 217-229. https://doi.org/10.36366/frontiers.v18i1.263.

Prayitno, A., Sutawidjaja, A., Subanji & Muksar, M. (2014b). Proses berpikir refraksi siswa menyelesaikan masalah data “membuat keputusanâ€. Dalam Prosiding Seminar Nasional TEQIP (Teachers Quality Improvement Program) dengan tema “Membangun Karakter Bangsa melalui Pembelajaran Bermakna TEQIP (hlm. 154-162). Malang: Universitas Negeri Malang.

Prayitno, A., Subanji & Muksar, M. (2016). Refractive thinking with dual strategy in solving mathematics problem. IOSR Journal of Research & Method in Education (IOSR-JRME), 6(3), 49-56.

Prihati, C. N., & Wijayanti, P. (2017). Profil berpikir refraktif siswa SMP dalam memecahkan masalah geometri ditinjau dari tipe kepribadian Keirsey. Mathedunesa: Jurnal Ilmiah Pendidikan Matematika, 1(6), 48-57. https://doi.org/10.30998/formatif.v6i1.753.

Razali, N. M., & Wah, Y. B. (2011). Power comparisons of Shapiro-Wilk, Kolmogorov-Smirnov, Lilliefors and Anderson-Darling Tests. Journal of Statistical Modeling and Analytics, 2(1), 21-33.

Reinholz, D. L. (2015). Peer-assisted reflection: A design-based intervention for improving success in calculus. International Journal of Research in Undergraduate Mathematics Education, 1(2), 234-267. https://doi.org/10.1007/s40753-015-0005-y.

Reinholz, D. (2016). The assessment cycle: A model for learning through peer assessment. Assessment & Evaluation in Higher Education, 41(2), 301-315. https://doi.org/10.1080/02602938.2015.1008982.

Reinholz, D. (2017). Peer conferences in calculus: The impact of systematic training. Assessment & Evaluation in Higher Education, 42(1), 1-17. https://doi.org/10.1080/02602938.2015.1077197.

Reinholz, D. L., & Dounas-Frazer, D. R. (2016). Using peer feedback to promote reflection on open-ended problems. The Physics Teacher, 54(6), 364-368. https://doi.org/10.1119/1.4961181.

Retnaningsih, M., & Sugandi, A. I. (2018). The role of problem based learning on improving students’ mathematical critical thinking ability and self-regulated learning. (JIML) Journal of Innovative Mathematics Learning, 1(1), 8-17. https://doi.org/10.22460/jiml.v1i2.p60-69.

Schunk, D. H. (2012). Learning theories: An educational perseptive. Sixth Edition. Boston: Pearson.

Widyatiningtyas, R., Kusumah, Y. S., Sumarmo, U., & Sabandar, J. (2015). The impact of problem-based learning approach to senior high school students' mathematics critical thinking ability. Journal on Mathematics Education, 6(2), 30-38. https://doi.org/10.22342/jme.6.2.2165.107-116.

Yaman, B. B. (2019). A multiple case study: What happens in peer tutoring of calculus studies? International Journal of Education in Mathematics, Science and Technology, 7(1), 53-72. https://doi.org/10.18404/ijemst.328336.

Yumiati, Y., & Kusumah, Y. (2019). Interaction between students' learning and early mathematical skills to increase mathematical critical thinking skills. Al-Jabar Jurnal Pendidikan Matematika, 10(1), 125-134. https://doi.org/10.24042/ajpm.v10i1.3712.

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Published

15-07-2021

How to Cite

Yenti, I. N., Kusumah, Y. S., & Dahlan, J. A. (2021). Kemampuan Berpikir Refraktif Matematis Mahasiswa melalui Pembelajaran Peer-Assited Reflection. Jurnal Elemen, 7(2), 394–406. https://doi.org/10.29408/jel.v7i2.3516

Issue

Vol. 7 No. 2 (2021): July

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