Pengaruh Strategi Flow Proof pada Perkuliahan Struktur Aljabar terhadap Kemampuan Mahasiswa dalam Menganalisis Pembuktian
DOI:
https://doi.org/10.31629/jg.v6i1.2782Keywords:
flow proof, konstruksi buktiAbstract
Struktur Aljabar mempelajari gabungan satu atau lebih himpunan dengan satu atau lebih operasi biner yang memenuhi kumpulan aksioma. Calon guru semester lima yang menjadi subjek dalam penelitian ini harus memiliki definisi dan aksioma untuk melakukan proses analisis pendahuluan terhadap teorema-teorema untuk dibuktikan. Kesulitan mahasiswa dalam menyusun bukti pada materi Struktur Aljabar adalah menelaah pembuktian, dan melihat hubungan antara definisi dan teorema yang ada. Solusi yang diberikan berdasarkan karakteristik masalah dalam struktur aljabar adalah dengan menggunakan strategi flow proof dalam penyusunan analisis pendahuluan. Dengan menggunakan desain Quasy Experiment type One group pretest-postest design, hasil penelitian menunjukkan bahwa terdapat pengaruh strategi flow proof terhadap kemampuan analisis pendahuluan mahasiswa calon guru.
Downloads
References
Adila, R., Hartono, Y., Indaryanti, Scristia, & Yusup, M. (2020). The effect of creative problem-solving models on students’ higher level thinking skills in linear programming. In Journal of Physics: Conference Series (Vol. 1480). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1480/1/012047
Emeira, G., Hapizah, & Scristia. (2020). Mathematical proof analysis using mathematical induction of grade XI students. In Journal of Physics: Conference Series (Vol. 1480). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1480/1/012044
Gabel, M., & Dreyfus, T. (2017). Affecting the flow of a proof by creating presenceâ€â€Âa case study in Number Theory. Educational Studies in Mathematics, 96(2), 187–205. https://doi.org/10.1007/s10649-016-9746-z
Hanna, G. (2000). Proof, Explanation and Exploration: An Overview. Educational Studies in Mathematics, 97(1–4), 131–141. https://doi.org/10.1023/A
Helma. (2019). Penggunaan Flow Proof pada Perkuliahan Analisis Real untuk Meningkatkan Kemampuan Mahasiswa dalam Menganalisis Pembuktian definitions and theorems to solve the problems and perform a process which is often called the preliminary analysis . After that , st, 3.
Jessica, C., Hapizah, & Scristia. (2020). Analysis of student’s proof construction on logarithms. In Journal of Physics: Conference Series (Vol. 1480). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1480/1/012035
Knuth, E. J. (2002). Secondary school mathematics teachers’ conceptions of proof. Journal for Research in Mathematics Education, 33(5). https://doi.org/10.2307/4149959
Ko, Y. Y., & Knuth, E. (2009). Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions. Journal of Mathematical Behavior, 28(1). https://doi.org/10.1016/j.jmathb.2009.04.005
Larson, R., Boswell, L., Kanold, Timothy D., & Stiff, Lee. (2011). Larson algebra 2 assesment book (common core edition). Holt McDougal.
Linares, L. (2006). The Effects of a Proof Mapping Instructional Technique on High School Geometry Students and Their Ability to Write Geometric Proofs. (Thesis, University of California)
Miyazaki Fujita, T., M., & Jones, D. K. (2012). Introducing the structure of proof in lower secondary school geometry: a learning progression based on flow-chart proving. Icme2012, 2858–2867.
Nadlifah, M., & Prabawanto, S. (2017). Mathematical proof construction: Students’ ability in higher education. Journal of Physics: Conference Series, 895(1), 8–13. https://doi.org/10.1088/1742-6596/895/1/012094
Nurfadilah, F., Hapizah, & Scristia. (2020). Analysis of student’s proof construction on exponents. In Journal of Physics: Conference Series (Vol. 1480). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1480/1/012036
Sari, D., Hapizah, & Scristia. (2020). Analysis of student’s proof construction on matrix determinants. In Journal of Physics: Conference Series (Vol. 1480). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1480/1/012060
Scristia, Hapizah, Sumarni, & Araiku, J. (2020). Flow-proof strategy in proof construction on geometry instruction. Journal of Physics: Conference Series, 1581, 012037. https://doi.org/10.1088/1742-6596/1581/1/012037
Selvia, N., Hartono, Y., Indaryanti, Scristia, & Yusup, M. (2020). Students’ high-level thinking skills in creative problem solving learning model. In Journal of Physics: Conference Series (Vol. 1480). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1480/1/012046
Sumarni, Hapizah, & Scristia. (2020). Student’s triangles congruence proving through flow proof strategy. In Journal of Physics: Conference Series (Vol. 1480). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1480/1/012030
Syafri, F. S. (2019). Pengaruh kemampuan representasi siswa dalam pemecahan masalah matematika. Jurnal Pendidikan Matematika, 3(May), 49–55.
Weber, K. (2001). Student difficulty in constructing proofs: The need for strategic knowledge. Educational Studies in Mathematics, 48(1). https://doi.org/10.1023/A:1015535614355
