Capaian Kemampuan Mathematical Thinking Siswa melalui Model Comprehensive Mathematics Instructions
DOI:
https://doi.org/10.29408/jel.v7i1.2793Keywords:
CMI model, conjecturing, convincing, mathematical thinking, specializing, generalizingAbstract
The national exam results show that students still have difficulty solving PISA standardization questions, reinforcing the reason why Indonesian students' mathematical literacy scores on PISA are still very low. This mathematical literacy is part of the mathematical thinking ability, so building it will impact students' mathematical literacy. The comprehensive mathematics instruction (CMI) model is thought to build students' mathematical thinking abilities. This study aims to describe students' mathematical thinking achievement who obtain learning with the CMI model. Besides, this study also analyzed the achievement of students' mathematical thinking through the CMI model by paying attention to the prior knowledge of mathematics (PAM). This research is a quasi-experimental study. Samples were taken purposively from the population of high school students in Subang. The results showed that the achievement of students' mathematical thinking through the CMI model differed significantly from students' mathematical thinking abilities through conventional models. The difference in the achievement of generalizing, conjecturing, and convincing abilities between students who get CMI model learning and those who get conventional model learning occurs in students with moderate PAM. Thus, the CMI model is effective for building students' mathematical thinking abilities.
References
Bass, H. (2005). Mathematics, mathematicians and mathematics education. Bulletin of the American Mathematical Society, 42(4), 417–430. https://doi.org/10.1090/S0273-0979-05-01072-4.
Breen, S., & O’shea, A. (2010). Mathematical thinking and task design. Irish Mathematics Society Bulletin, 66(1), 39–49.
Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education (6 ed.). New York: Routledge. https://doi.org/10.4324/9780203029053.
Delima, N. (2017). A relationship between problem solving ability and students’ mathematical thinking. Infinity Journal, 6(1), 21. https://doi.org/10.22460/infinity.v6i1.231.
Delima, N., & Fitriza, R. (2017). Pengembangan model comprehensive instruction (CMI) dalam membangun kemampuan mathematical thinking siswa. JNPM (Jurnal Nasional Pendidikan Matematika), 4(1), 1–25. https://doi.org/10.33603/jnpm.v1i1.248.
Delima, N., Kusumah, Y. S., & Fatimah, S. (2019). Improving mathematics self-concept through comprehensive mathematics instruction model. Journal of Physics: Conference Series, 1315(1). https://doi.org/10.1088/1742-6596/1315/1/012076.
Delima, N., Rahmah, M. A., & Akbar, A. (2018). The analysis of students’ mathematical thinking based on their mathematics self-concept. Journal of Physics: Conference Series, 1108(1). https://doi.org/10.1088/1742-6596/1108/1/012104.
Dick, W., & Lou, C. (2005). The systematic design of instructional third education. London: Pearson.
Diezmann, C. M. (2004). Assessing learning from mathematical inquiry: Challenges for students, teachers and researchers. Proceedings Mathematical Association of Victoria Conference, 80–85. Diambil dari http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.570.4931&rep=rep1&type=pdf
Ersoy, E., & Güner, P. (2015). The place of problem solving and mathematical thinking in the mathematical teaching. The Online Journal of New Horizons in Education, 5(1), 120–130. Diambil dari www.pinar.guner@marmara.edu.tr
Fernández, C., Sánchez-Matamoros, G., Valls, J., & Callejo, M. L. (2018). Noticing students’ mathematical thinking: Characterization, development and contexts. Avances de Investigacion en Educacion Matematica, 13, 39–61. https://doi.org/10.35763/aiem.v0i13.229.
Gibney, J. (2014). Provoking mathematical thinking: Experiences of doing realistic mathematics tasks with adult numeracy teachers. Adults Learning Mathematics, 9(2), 97–115.
Guberman, S. (2015). On Gestalt theory principles. Gestalt Theory, 37(1), 25–44.
Harefa, A. O. (2013). Penerapan teori pembelajaran Ausebel dalam pembelajaran. Majalah Ilmiah Warta Dharmawangsa, 36(1), 43–55. Diambil dari https://media.neliti.com/media/publications/168547-ID-penerapan-teori-pembelajaran-ausebel-dal.pdf
Hendrickson, S., Hilton, S. C., & Bahr, D. (2008). The comprehensive mathematics instruction (CMI) framework: A new lens for examining teaching and learning in the mathematics classroom. Utah Mathematics Teacher, 1(1), 44–52.
Kemdikbud. (2019). Ringkasan eksekutif hasil ujian nasional 2019 masukan untuk pembelajaran di sekolah SMA/MA. Jakarta: Puspendik Balitbang Kemdikbud.
Mason, J. (2020). Generating worthwhile mathematical tasks in order to sustain and develop mathematical thinking. Sustainability, 12(14), 1–12. https://doi.org/10.3390/su12145727.
Mason, J., Burton, L., & Stacey, K. (2010). Thinking mathematically (2 ed.). London: Pearson.
Mason, J., & Johnston-Wilder, S. (2004). Designing and using mathematical tasks. London: Tarquin Press.
OECD. (2019). PISA 2018 results. combined executive summaries. Paris: OECD Publishing. https://doi.org/10.1787/17457005-en.
Setiyawan, H. (2017). Pembelajaran matematika model PBL pada mata pelajaran matematika materi luas bidang pada siswa kelas III SD. Jurnal Inovasi, XIX(1), 1–17. Diambil dari https://erepository.uwks.ac.id/276/1/JURNAL_HERY_FBS.pdf
Stacey, K. (2006). What is mathematical thinking and why is it important? Australia: University of Melbourne. Diambil dari https://www.researchgate.net/publication/254408829
Uyangör, S. M. (2019). Investigation of the mathematical thinking processes of students in mathematics education supported with graph theory. Universal Journal of Educational Research, 7(1), 1–9. https://doi.org/10.13189/ujer.2019.070101.
Yildirim, D., & Yavuzsoy Kose, N. (2018). Mathematical thinking processes of secondary school students in polygon problems. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 18(1), 605–633. Diambil dari https://dergipark.org.tr/en/download/article-file/376448.
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