EKSPLORASI PENGETAHUAN CALON GURU MATEMATIKA TENTANG PROSES PENALARAN MATEMATIS SISWA
DOI:
https://doi.org/10.22460/jpmi.v5i6.12950Keywords:
Mathematical content knowledge, mathematical reasoning processes, prospective teacherAbstract
The development of mathematical reasoning is part of an important process that needs to be taught to students, as reflected in teacher education. This study focuses on the education of prospective teachers of mathematics which aims to describe the knowledge of prospective teachers about students' mathematical reasoning processes. The subjects of this study were prospective mathematics teacher students who were selected by purposive sampling. The instruments used include math assignments and interview guidelines. Data analysis techniques with data reduction, data presentation, data interpretation, and making conclusions. The results of this study indicate that the knowledge of the reasoning process carried out by prospective mathematics teachers is organized into 3 levels of knowledge in each reasoning process that appears, namely generalizing, justifying, classifying, and exemplifying. At the level of knowledge of the reasoning process, student teacher candidates still have difficulty in analyzing students' reasoning processes, using the meaning of terms in everyday life, and only considering the correct reasoning process. An important aspect of the reasoning process is developing knowledge by completing the means as a medium to understand the reasoning process in each student's learning.
References
Brunheira, L. (2019). O desenvolvimento do raciocÃnio geométrico na formação inicial dos professores dos primeiros anos. 226.
Febriyanti, R. (2018). The Way of Students ’ Reasoning of Elementary Students in Solving Integer Problem. Journal of Physics: Conference Series, 1108. https://doi.org/10.1088/1742-6596/1108/1/01033
Febriyanti, R. (2019). Pola Pemecahan Masalah Matematika Pada Siswa yang Berkemampuan Setara. Vygotsky: Jurnal Pendidikan Matematika Dan Matematika, 1(2), 56–64.
Herbert, S., Vale, C., Bragg, L. A., Loong, E., & Widjaja, W. (2015). A framework for primary teachers’ perceptions of mathematical reasoning. International Journal of Educational Research, 74, 26–37. https://doi.org/10.1016/j.ijer.2015.09.005
Hiebert, J., Morris, A. K., & Glass, B. (2003). Learning to learn to teach: An “experiment†model for teaching and teacher preparation in mathematics. Journal of Mathematics Teacher Education, 6(3), 201–222.
Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in Mathematics, 96(1), 1–16. https://doi.org/10.1007/s10649-017-9761-8
Loewenberg Ball, D., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407. https://doi.org/10.1177/0022487108324554
Loong, E. Y.-K., Vale, C., Herbert, S., & Bragg, L. A. (2017). Tracking change in primary teachers’ understanding of mathematical reasoning through demonstration lessons. Mathematics Teacher Education and Development, 19(1), 5–19.
Mata-Pereira, J., & Ponte, J. P. da. (2018). Promover o RaciocÃnio Matemático dos Alunos: uma investigação baseada em design. Bolema: Boletim de Educação Matemática, 32(62), 781–801. https://doi.org/10.1590/1980-4415v32n62a02
Pamungkas, A. S., & Yuhana, Y. (2016). Pengembangan Bahan Ajar untuk Meningkatkan Kemampuan Penalaran Matematis Mahasiswa Calon Guru Matematika. JUrnal Pendidikan Sekolah Dasar, 9(2), 177–182. https://jurnal.untirta.ac.id/index.php/JPPM/article/view/995
Rodrigues, M., Brunheira, L., & Serrazina, L. (2021). A framework for prospective primary teachers’ knowledge of mathematical reasoning processes. International Journal of Educational Research, 107(November 2020). https://doi.org/10.1016/j.ijer.2021.101750
Rohana, R. (2015). Peningkatan Kemampuan Penalaran Matematis Mahasiswa Calon Guru Melalui Pembelajaran Reflektif. Infinity Journal, 4(1), 105. https://doi.org/10.22460/infinity.v4i1.76
Stylianides, G. J. (2008). An analytic framework of reasoning and proving. For the Learning of Mathematics, 28, 9–16.
