Pemanfaatan Analisis Kompleks Berbasis Software Matematis bagi Mahasiswa Pendidikan Matematika
Abstract
Analisis kompleks merupakan mata kuliah yang memiliki tingkat abstraksi tinggi sehingga sering menimbulkan kesulitan pemahaman konsep bagi mahasiswa pendidikan matematika. Salah satu upaya untuk mengatasi permasalahan tersebut adalah dengan memanfaatkan perangkat lunak matematis dalam proses pembelajaran. Penelitian ini bertujuan untuk mendeskripsikan implementasi penggunaan software matematis dalam pembelajaran analisis kompleks, menganalisis pengaruhnya terhadap pemahaman konsep mahasiswa, serta mengidentifikasi faktor pendukung dan kendala dalam penerapannya. Penelitian menggunakan pendekatan deskriptif kualitatif dengan subjek mahasiswa Pendidikan Matematika yang menempuh mata kuliah Analisis Kompleks. Pengumpulan data dilakukan melalui observasi, wawancara, dokumentasi, dan angket persepsi mahasiswa. Analisis data dilakukan dengan model Miles dan Huberman yang meliputi reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa pemanfaatan software matematis, seperti GeoGebra dan MATLAB, memberikan kontribusi positif terhadap pemahaman konsep mahasiswa, terutama dalam visualisasi pemetaan fungsi kompleks. Mahasiswa menilai software membantu mengaitkan konsep abstrak dengan representasi visual. Namun demikian, masih ditemukan kendala teknis dan kecenderungan ketergantungan pada visualisasi tanpa verifikasi analitis. Oleh karena itu, diperlukan pendampingan dosen dan perencanaan pembelajaran yang terintegrasi agar pemanfaatan software matematis lebih optimal.
Downloads
References
Ablowitz, M. J., & Fokas, A. S. (2021). Introduction to Complex Variables and Applications. In Introduction to Complex Variables and Applications. https://doi.org/10.1017/9781108961806
Anam, K., Hidayati, W. S., & Rozak, A. (2022). Analisis Kesalahan Mahasiswa Dalam Menyelesaikan Soal Nilai Mutlak Bilangan Kompleks. Fourth Conference on Research and Community Services STKIP PGRI Jombang Transformasi Pendididkan Berbasis Hasil Penelitian Dan Pengabdian Masyarakat Di Era Merdeka Belajar, September.
Arcavi, A. (2003). The role of visual representations in the learning of mathematics. In Educational Studies in Mathematics (Vol. 52, Issue 3). https://doi.org/10.1023/A:1024312321077
Breda, A. M. d’Azevedo, & Santos, J. M. D. S. Dos. (2016). Complex Functions With Geogebra. Teaching Mathematics and Its Applications: An International Journal of the IMA, 2(32), 102–110.
Cheong, K. H., Chu, C. E., Ng, W. K., & Yeo, D. J. (2024). Implementing GeoGebra 3D Calculator With Augmented Reality in Multivariable Calculus Education. IEEE Access, 12, 85455–85464. https://doi.org/10.1109/ACCESS.2024.3394531
Creswell. John W. (2017). Research Design: Pendekatan Kualitatif, Kuantitatif dan Mixed. Pustaka Pelajar.
Dimitrijević, N., Zdravković, N., & Ponnusamy, V. (2024). Learning Data Visualization in Python Utilizing an Autograding and Feedback System. CEUR Workshop Proceedings, 3938.
Drijvers, P., Ball, L., Barzel, B., Heid, M. K., Cao, Y., & Maschietto, M. (2016). Uses of Technology in Lower Secondary Mathematics Education. https://doi.org/10.1007/978-3-319-33666-4_1
Goos, M., Galbraith, P., Renshaw, P., & Geiger, V. (2003). Perspective on technology mediated learning in secondary school mathematics classrooms. Journal of Mathematical Behavior, 22(1). https://doi.org/10.1016/S0732-3123(03)00005-1
Hohenwarter, M., & Hohenwarter, J. (2008). Teaching and Learning Calculus with Free Dynamic Ma- thematics Software GeoGebra Calculus with GeoGebra. Proceedings of the International Conference on the Teaching of Mathematics - TSG 16, September 2016.
Koehler, M. J., Mishra, P., & Cain, W. (2013). What is Technological Pedagogical Content Knowledge (TPACK)? Journal of Education, 193(3). https://doi.org/10.1177/002205741319300303
Konold, C., & Lehrer, R. (2008). Technology and Mathematics Education: An Essay in Honor of Jim Kaput. In L. D. English (Ed.), Handbook of International Research in Mathematics Education (2nd Edition). New York: Routledge, 1976.
Lin, P. W., Yu, S. H., & Lai, C. H. (2025). Dynamic Program Analysis and Visualized Learning System in University Programming Courses †. Engineering Proceedings, 98(1). https://doi.org/10.3390/engproc2025098030
L.J Moleong. (2022). Metodologi Penelitian Kualitatif. In Metodologi Penelitian Kualitatif. Rake Sarasin, Maret.
Menggo, S., Jama, K. B., Adnyani, N. L. P. S., & Krismayani, N. W. (2025). Indonesian English as A Foreign Language Learners’interpersonal Communication: Profiles And Challenges. LLT Journal: A Journal on Language and Language Teaching, 28(1), 242-256.
Miles, M. B., A. Michael Huberman, & Johnny Saldaña. (2023). Qualitative Data Analysis A Methods Sourcebook. Experiencing Citizenship: Concepts and Models for Service-Learning in Political Science.
Nasifatul Ulya, Aryani Indri Arsani, Nur Salsabila, & Umi Mahmudah. (2024). Analisis Kesulitan Belajar Dalam Mata Kuliah Analisis Kompleks Ditinjau Dari Kemandirian Belajar Mahasiswa. Katalis Pendidikan : Jurnal Ilmu Pendidikan Dan Matematika, 1(2). https://doi.org/10.62383/katalis.v1i2.312
Needham, T. (2023). Visual Complex Analysis: 25th Anniversary Edition. In Visual Complex Analysis: 25th Anniversary Edition. https://doi.org/10.1093/oso/9780192868916.001.0001
Pierce, R., & Stacey, K. (2010). Mapping pedagogical opportunities provided by mathematics analysis software. International Journal of Computers for Mathematical Learning, 15(1). https://doi.org/10.1007/s10758-010-9158-6
Ristama, Y. D. (2025). Geogebra sebagai solusi interaktif untuk pembelajaran matematika yang lebih menarik dan efektif. Maliki Interdisciplinary Journal (MIJ) EISSN, 3(1), 267–274. http://urj.uin-malang.ac.id/index.php/mij/index
Scott, D. B., Churchill, R. V., & Brown, J. W. (1985). Complex Variables and Applications. The Mathematical Gazette, 69(449). https://doi.org/10.2307/3617559
Sugiyono. (2020). Metodologi Penelitian Kualitatif. In Metodologi Penelitian Kualitatif. In Rake Sarasin (Issue March).
Susilo, B. E., Darhim, D., & Prabawanto, S. (2021). Students’ learning difficulties in integral calculus based on critical thinking skills. Journal of Physics: Conference Series, 1918(4). https://doi.org/10.1088/1742-6596/1918/4/042058
Tall, D. (2013). How Humans Learn to Think Mathematically. In How Humans Learn to Think Mathematically. https://doi.org/10.1017/cbo9781139565202
Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12(2). https://doi.org/10.1007/BF00305619
Utami, N. S. (2022). Analisis Kesalahan Mahasiswa Pada Bentuk Kutub Bilangan Kompleks Ditinjau Dari Kemandirian Belajar. Jurnal Kiprah Pendidikan, 1(4). https://doi.org/10.33578/kpd.v1i4.99
Weigand, H. G., Trgalova, J., & Tabach, M. (2024). Mathematics teaching, learning, and assessment in the digital age. ZDM - Mathematics Education, 56(4). https://doi.org/10.1007/s11858-024-01612-9
Zengin, Y. (2017). The effects of GeoGebra software on pre-service mathematics teachers’ attitudes and views toward proof and proving. International Journal of Mathematical Education in Science and Technology, 48(7). https://doi.org/10.1080/0020739X.2017.1298855
Ziatdinov, R., & Valles, J. R. (2022). Synthesis of Modeling, Visualization, and Programming in GeoGebra as an Effective Approach for Teaching and Learning STEM Topics. In Mathematics (Vol. 10, Issue 3). https://doi.org/10.3390/math10030398
Kofifatun Amila(1*)
