Dalam matematika, teorema perlu dibuktikan kebenarannya. Melalui proses pembuktian, mahasiswa dapat mengetahui kebenaran suatu teorema dan juga dapat mengasah kemampuan berpikir logis mahasiswa. Namun, hasil studi pendahuluan menunjukkan bahwa sebagian besar mahasiswa calon guru matematika mengalami kesulitan dalam pembuktian. Penelitian ini bertujuan untuk menganalisis kesulitan mahasiswa calon guru matematika dalam pembuktian teorema. Kami menggunakan pendekatan penelitian deskriptif kualitatif dengan melibatkan mahasiswa semester II prodi Pendidikan Matematika Universitas Qomaruddin yang dipilih berdasarkan kemampuan awal matematikanya. Kami menggunakan soal tes dan pedoman wawancara untuk mengumpulkan data. Subjek yang terpilih diberikan soal pembuktian teorema dan dilakukan wawancara untuk memperjelas hasil jawaban pada saat tes tersebut. Data yang terkumpul dianalisis dengan kerangka kerja analisis Miles & Huberman, yang mencakup reduksi data, penyajian data, dan penarikan simpulan. Hasil penelitian menunjukkan bahwa: (1) kesulitan subjek berkemampuan tinggi adalah ketidakmampuan dalam menarik kesimpulan pembuktian teorema (2) kesulitan subjek berkemampuan sedang adalah ketidakmampuan mengingat beberapa konsep, dan kurang mampu menggunakan data serta mengaitkan pernyataan pernnyataan dalam pembuktian; dan (3) kesulitan subjek berkemampuan rendah adalah ketidakmampuan mengingat konsep pembuktian, ketidakmampuan mengenali simbol-simbol geometri matematika, dan ketidakmampuan dalam menarik kesimpulan.
Downloads
- Appova, A., & Taylor, C. E. (2019). Expert mathematics teacher educators’ purposes and practices for providing prospective teachers with opportunities to develop pedagogical content knowledge in content courses. Journal of Mathematics Teacher Education, 22(2), 179–204. https://doi.org/10.1007/s10857-017-9385-z
- Bieda, K. N. (2010). Enacting Proof-Related Tasks in Middle School Mathematics: Challenges and Opportunities Enacting Proof-Related Tasks in Challenges and Opportunities. Source: Journal for Research in Mathematics Education Journal for Research in Mathematics Education, 41(4), 351–382. https://doi.org/10.2307/41103880
- Cervello Rogers, K., & Steele, M. D. (2016). Graduate teaching assistants’ enactment of reasoning-and-proving tasks in a content course for elementary teachers. Journal for Research in Mathematics Education, 47(4), 372–419. https://doi.org/10.5951/jresematheduc.47.4.0372
- Clements, D. H., Sarama, J., Spitler, M. E., Lange, A. A., & Wolfe, C. B. (2011). Mathematics learned by young children in an intervention based on learning trajectories: A large-scale cluster randomized trial. Journal for Research in Mathematics Education, 42(2), 127–166. https://doi.org/10.5951/jresematheduc.42.2.0127
- Ellis, A. B., Ozgur, Z., Vinsonhaler, R., Dogan, M. F., Carolan, T., Lockwood, E., Lynch, A., Sabouri, P., Knuth, E., & Zaslavsky, O. (2017). Student thinking with examples: The criteria-affordances-purposes-strategies framework. Journal of Mathematical Behavior, January. https://doi.org/10.1016/j.jmathb.2017.06.003
- Fiallo, J., & Gutiérrez, A. (2017). Analysis of the cognitive unity or rupture between conjecture and proof when learning to prove on a grade 10 trigonometry course. Educational Studies in Mathematics, 96(2), 145–167. https://doi.org/10.1007/s10649-017-9755-6
- Fredriksdotter, H., Norén, N., & Bråting, K. (2022). Investigating grade-6 students’ justifications during mathematical problem solving in small group interaction. Journal of Mathematical Behavior, 67(January). https://doi.org/10.1016/j.jmathb.2022.100972
- García-García, J., & Dolores-Flores, C. (2018). Intra-mathematical connections made by high school students in performing Calculus tasks. International Journal of Mathematical Education in Science and Technology, 49(2), 227–252. https://doi.org/10.1080/0020739X.2017.1355994
- García, M., Llinares, S., & Sánchez-Matamoros, G. (2011). Characterizing thematized derivative schema by the underlying emergent structures. International Journal of Science and Mathematics Education, 9(5), 1023–1045. https://doi.org/10.1007/s10763-010-9227-2
- Jones, S. R. (2019). Students’ Application of Concavity and Inflection Points to Real-World Contexts. International Journal of Science and Mathematics Education, 17(3), 523–544. https://doi.org/10.1007/s10763-017-9876-5
- Kholid, M. N., Swastika, A., Ishartono, N., Nurcahyo, A., Lam, T. T., Maharani, S., Ikram, M., Murniasih, T. R., Majid, Wijaya, A. P., & Pratiwi, E. (2022). Hierarchy of Students’ Reflective Thinking Levels in Mathematical Problem Solving. Acta Scientiae, 24(6), 24–59. https://doi.org/10.17648/acta.scientiae.6883
- Komatsu, K., & Jones, K. (2022). Generating mathematical knowledge in the classroom through proof, refutation, and abductive reasoning. Educational Studies in Mathematics, 109(3), 567–591. https://doi.org/10.1007/s10649-021-10086-5
- Kontorovich, I. (2021). Minding mathematicians’ discourses in investigations of their feedback on students’ proofs: a case study. Educational Studies in Mathematics, 107(2), 213–234. https://doi.org/10.1007/s10649-021-10035-2
- Nachlieli, T., Herbst, P., & González, G. (2009). Seeing a Colleague Encourage a Student to Make an Assumption While Proving: What Teachers Put in Play When Casting an Episode of Instruction. Journal for Research in Mathematics Education, 40(4), 427–459. http://www.jstor.org/stable/40539346
- Nolte, M., & Pamperien, K. (2017). Challenging problems in a regular classroom setting and in a special foster programme. ZDM - Mathematics Education, 49(1), 121–136. https://doi.org/10.1007/s11858-016-0825-5
- Nursyahidah, F., Saputro, B. A., & Albab, I. U. (2021). Desain Pembelajaran Kerucut Berkonteks Tradisi Megono Gunungan. Jurnal Elemen, 7(1), 19–28. https://doi.org/10.29408/jel.v7i1.2655
- Sholekah, L. M., Anggreini, D., & Waluyo, A. (2017). Analisis Kesulitan Siswa Dalam Menyelesaikan Soal Matematika Ditinjau Dari Koneksi Matematis Materi Limit Fungsi. WACANA AKADEMIKA: Majalah Ilmiah Kependidikan, 1(2), 151–164. https://doi.org/10.30738/wa.v1i2.1413
- Sindy Mustika Sari, Aldi Firmansyah, & Reza Lestari. (2022). Analisis Kesulitan Siswa Dalam Menyelesaikan Soal Matematika Problem Solving Berdasarkan Tahapan Heuristik Polya Siswa Kelas XI Ipa. Seminar Nasional Pendidikan Guru Sekolah Dasar Universitas Kuningan, 2(1), 109–114. https://doi.org/10.25134/prosidingsemnaspgsd.v2i1.32
- Weber, K., Mejía-Ramos, J. P., Fukawa-Connelly, T., & Wasserman, N. (2020). Connecting the learning of advanced mathematics with the teaching of secondary mathematics: Inverse functions, domain restrictions, and the arcsine function. Journal of Mathematical Behavior, 57(January 2019), 100752. https://doi.org/10.1016/j.jmathb.2019.100752
- Wilkie, K. J. (2019). Investigating secondary students’ generalization, graphing, and construction of figural patterns for making sense of quadratic functions. Journal of Mathematical Behavior, 54(August 2018), 0–1. https://doi.org/10.1016/j.jmathb.2019.01.005
- Yang, K. L. (2012). Structures of cognitive and metacognitive reading strategy use for reading comprehension of geometry proof. Educational Studies in Mathematics, 80(3), 307–326. https://doi.org/10.1007/s10649-011-9350-1
Copyright (c) 2024 Ika Narulita, Roisatun Nisa', Melinda Dwi Jayanti

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Education and Talent Development Center of Indonesia (ETDC Indonesia)
e-mail: kognitif@etdc.org, website : https://etdc-indonesia.com

Kognitif: Jurnal Riset HOTS Pendidikan Matematika dengan Situs: https://etdci.org/journal/kognitif berlisensi Creative Commons Attribution-ShareAlike 4.0 International License
Most read articles by the same author(s)
- Ana Fithrotun Nada, Roisatun Nisa', Pengembangan Modul Ajar Model Learning Cycle 5E Materi Operasi Aljabar , Kognitif: Jurnal Riset HOTS Pendidikan Matematika: Vol. 5 No. 1 (2025): January - March 2025
- Nubailah, Roisatun Nisa', Pengembangan Media Pembelajaran Bangun Ruang menggunakan Program Construct 2 untuk Siswa SMP , Kognitif: Jurnal Riset HOTS Pendidikan Matematika: Vol. 4 No. 1 (2024): January - March 2024






.png)
