UTILIZATION OF GEOGEBRA IN ENHANCING HIGH SCHOOL STUDENTS’ MATHEMATICAL REASONING ABILITY
Keywords:
GeoGebra, Mathematical Reasoning, Circle Tangent LineAbstract
Students’ low mathematical reasoning skills, particularly regarding abstract concepts such Students’ mathematical reasoning ability in the topic of tangent lines to a circle remains relatively low, particularly in integrating geometric and algebraic concepts. This indicates limitations in students’ conceptual understanding, which may be influenced by the use of conventional teaching methods with minimal visualization. This study aims to examine the effectiveness of GeoGebra in improving high school students’ mathematical reasoning ability. This study employed a quasi-experimental method with a pretest–posttest control group design involving 44 eleventh-grade students’ at SMAN 5 Banda Aceh. The data were analyzed using the Method of Successive Interval (MSI) and an independent sample t-test. The results showed that the experimental group achieved a higher average post-test score (13.13) compared to the control group (11.04). The calculated t-value (5.13) exceeded the critical t-value (2.018), indicating a significant difference between the two groups. Therefore, the use of GeoGebra was proven to be effective in improving students’ mathematical reasoning ability compared to conventional methods. These findings confirm that the integration of technology in geometry learning can create a more interactive learning environment and support the development of students’ logical thinking skills.
References
Fendrik, M. (2021). Pengaruh pendekatan Realistic Mathematics Education terhadap kemampuan penalaran matematis siswa SD ditinjau dari kemampuan siswa dan level sekolah. Numeracy: Jurnal Ilmiah Pendidikan Matematika, 8(2), 102–112. https://doi.org/10.46244/numeracy.v8i2.1611
Fitria, R. (2022). Analisis kesulitan belajar matematika siswa dalam menyelesaikan soal HOTS. Jurnal Pendidikan Matematika, 7(1), 1– 10. https://doi.org/https://doi.org/10.33369/jpmr.v7i1.20947
Hendriana, H., Rohaeti, E. E., & Sumarmo, U. (2017). Hard skills dan soft skills matematik siswa. Bandung: Refika Aditama, 7, 2017.
Juandi, D., Kusumah, Y. S., Tamur, M., Perbowo, K. S., & Wijaya, T. T. (2021). A meta-analysis of GeoGebra software decade of assisted mathematics learning: what to learn and where to go? Heliyon, 7(5). https://doi.org/10.1016/j.heliyon.2021.e06953
Junaidi, J. (2018). Meningkatkan hasil belajar matematika pada materi bangun ruang dengan menggunakan aplikasi GeoGebra di SMP Negeri 1 Mila. Numeracy: Jurnal Ilmiah Pendidikan Matematika, 5(2), 184—193. https://doi.org/10.46244/numeracy.v5i2.392
Kementerian Pendidikan, Kebudayaan, Riset, dan T. (2024). Kajian Kurikulum Merdeka.
Mahmuzah, R., & Aklimawati, A. (2017). Peningkatan kemampuan penalaran matematis siswa SMP melalui pendekatan problem posing. Numeracy: Jurnal Ilmiah Pendidikan Matematika, 4(2), 71–79. https://doi.org/10.46244/numeracy.v4i2.266
Mirunnisa, M. (2019). Peningkatan kemampuan penalaran matematis siswa Sekolah Menengah Atas dengan model Discovery Learning. Numeracy: Jurnal Ilmiah Pendidikan Matematika, 6(1), 76—85. https://doi.org/10.46244/numeracy.v6i1.434
Mukuka, A., Mutarutinya, V., & Balimuttajjo, S. (2023). Enhancing mathematical reasoning through technology-based learning environments. International Electronic Journal of Mathematics Education,18(2), em0721. https://doi.org/https://doi.org/10.29333/iejme/13259
Nuralam, N., & Maulidayani, M. (2020). Capaian kemampuan penalaran matematis siswa dengan model AIR. Numeracy: Jurnal Ilmiah Pendidikan Matematika, 7(1), 35–48. https://doi.org/10.46244/numeracy.v7i1.997
Nuralam, H., Jupri, A., & Alifulloh, W. (2024). Exploring High School Students’ Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning. Jurnal Teknologi Pendidikan, 26(3), 1134–1147. https://doi.org/http://dx.doi.org/10.21009/JTP2001.6
Nur Hamidah, N., Widodo, S. A., & Mulyono, M. (2020). The effect of GeoGebra-assisted learning on students’ mathematics learning outcomes. Infinity Journal, 9(1), 13–24. https://doi.org/https://doi.org/10.22460/infinity.v9i1.3903
Purcell, E. J., & Varberg, D. (2003). Calculus with analytic geometry (9th ed.). Prentice Hall.
Sari, N. P., Waluyo, A., & Nurhayati, N. (2014). Kesulitan siswa SMP dalam mengembangkan penalaran matematis pada materi geometri. Jurnal Pendidikan Matematika, 8(2), 50–60.
Villaroza, R. D., Villaroza, R. C., Canoy, J. C. D., Macalong, E. R. N., & Coronado, W. A. (2023). Exploring the Impact of GeoGebra on Mathematical Proficiency and Inductive Reasoning Ability in Geometry Students’ of MSU N – Integrated Developmental School. International Journal of Science and Management Studies (IJSMS), 6(4), 128–142. https://doi.org/https://doi.org/10.51386/25815946/ijsms-v6i4p116
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