Effectiveness of GeoGebra-Assisted Collaborative Learning on Understanding Mathematical Functions and Graphs
DOI:
https://doi.org/10.62951/ijsme.v2i1.257Keywords:
Collaborative Learning, GeoGebra, Function Graphs, Mathematical Understanding, Student EngagementAbstract
This study investigates the impact of GeoGebra-assisted collaborative learning on students' understanding of function graphs. Function graphs are fundamental in mathematics education, yet many students struggle to grasp the relationships between variables, primarily due to traditional teaching methods that focus on procedural skills rather than conceptual understanding. To address this challenge, the study incorporates GeoGebra, a dynamic mathematics software, alongside collaborative learning strategies. The research utilizes a quasi-experimental design involving high school students who had previously struggled with function graphs. The results demonstrate that the experimental group, which engaged in GeoGebra-assisted collaborative learning, showed a significant improvement of 27% in their post-test scores, compared to just a 6% improvement in the control group using traditional methods. The study highlights the effectiveness of GeoGebra in fostering a deeper conceptual understanding of mathematical functions by enabling students to visualize and manipulate graphs interactively. Additionally, collaborative learning encouraged peer interaction, reinforcing the learning process and promoting better problem-solving skills. The findings suggest that combining interactive tools like GeoGebra with collaborative learning techniques can enhance students’ mathematical comprehension, leading to improved engagement and performance in mathematics education.
References
Ardina, G., & Boholano, H. (2024). The cognitive and non-cognitive effects of GeoGebra integration. Malaysian Journal of Mathematical Sciences, 18(2), 423-443. https://doi.org/10.47836/mjms.18.2.12
Awaji, B. M., Khalil, I., & Al-Zahrani, A. (2025). A bibliometric study of two decades of GeoGebra research in mathematics education. Journal of Educational and Social Research, 15(1), 130-150. https://doi.org/10.36941/jesr-2025-0011
Ayeh, I. G. (2025). Students' mathematics conceptual challenges: Exploring students' thinking, understanding, and misconceptions in functions and graphs. European Journal of Science and Mathematics Education, 13(3), 191-206. https://doi.org/10.30935/scimath/16596
Azis, Y. M., & Rohaeti, E. E. (2025). A systematic literature review on the implementation of GeoGebra: Benefits and challenges in mathematics education. Infinity Journal, 14(3), 655–672. https://doi.org/10.22460/infinity.v14i3.p655-672
Boote, S. K., & Boote, D. N. (2017). Leaping from discrete to continuous independent variables: Sixth graders’ science line graph interpretations. Elementary School Journal, 117(3), 455-484. https://doi.org/10.1086/690204
Cartmell, S., & Maher, C. (2025). Professional development lessons from an informal math learning longitudinal study. Proceedings of the International Group for the Psychology of Mathematics Education, 1, 139-146. https://www.scopus.com/inward/record.uri?eid=2-s2.0-105013104690&partnerID=40&md5=f0be2aeae138302f2a55b002342ca08d
Dahal, N., Pant, B. P., Shrestha, I. M., & Manandhar, N. K. (2022). Use of GeoGebra in teaching and learning geometric transformation in school mathematics. International Journal of Interactive Mobile Technologies, 16(8), 65-78. https://doi.org/10.3991/ijim.v16i08.29575
Hevardani, K. A., Yerizon, Yarman, & Arnellis. (2024). Use of GeoGebra in mathematics learning. AIP Conference Proceedings, 3024(1), art. no. 050017. https://doi.org/10.1063/5.0204591
Kusnadi, F. N., & Asih, E. C. M. (2023). GeoGebra on students' engagement in mathematics learning: A literature review. AIP Conference Proceedings, 2734(1), art. no. 090022. https://doi.org/10.1063/5.0156522
Lukac, S., & Sekerak, J. (2017). The use of the system GeoGebra for graphical interpretation of functional dependencies in mathematics teaching. ICETA 2017 - 15th IEEE International Conference on Emerging eLearning Technologies and Applications, art. no. 8102500. https://doi.org/10.1109/ICETA.2017.8102500
Mingirwa, I. M. (2016). Teachers' technology uptake, a case of GeoGebra in teaching secondary school mathematics in Kenya. IST-Africa Conference, IST-Africa 2016, art. no. 7530652. https://doi.org/10.1109/ISTAFRICA.2016.7530652
Mingla, L. (2025). Using digital tools and real-life interactive activities to teach trigonometric functions. Mathematics Teaching-Research Journal, 17(4), 133-152. https://doi.org/10.1007/s40299-019-00481-1
Miniankou, R., & Puptsau, A. (2023). Online collaborative learning: Use and efficiency evaluation. Lecture Notes in Networks and Systems, 640 LNNS, 498-509. https://doi.org/10.1007/978-3-031-26655-3_45
Mwingirwa, I. M., & Miheso-O’Connor, M. K. (2016). Status of teachers' technology uptake and use of GeoGebra in teaching secondary school mathematics in Kenya. International Journal of Research in Education and Science, 2(2), 286-294. https://doi.org/10.21890/ijres.83989
Ndagijimana, J.-B., Mukama, E., Lakin, L., Khan, S., Munyaruhengeri, J. P. A., Dushimimana, J. C., Habimana, O., Manirakiza, P., Musengimana, J., & Mushimiyimana, H. (2024). Contributions of GeoGebra software within the socio-cultural proximity on enhancing students’ conceptual understanding of mathematics. Cogent Education, 11(1), 2436296. https://doi.org/10.1080/2331186X.2024.2436296
Ng, O.-L., Ting, F., Lam, W. H., & Liu, M. (2020). Active learning in undergraduate mathematics tutorials via cooperative problem-based learning and peer assessment with interactive online whiteboards. Asia-Pacific Education Researcher, 29(3), 285-294. https://doi.org/10.1007/s40299-019-00481-1
Ogbonnaya, U. I., & Mushipe, M. (2020). The efficacy of GeoGebra-assisted instruction on students' drawing and interpretations of linear functions. International Journal of Learning, Teaching and Educational Research, 19(9), 1-14. https://doi.org/10.26803/ijlter.19.9.1
Pattanapiboon, W., & Nishizawa, H. (2024). Impact on student learning outcomes in mathematics using GeoGebra. Proceedings of the Asian Technology Conference in Mathematics, 258–267. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85217668592&partnerID=40&md5=abe3b6e904fac6e507bf4b145bd73b82
Rangkuti, M. A., & Karam, R. (2022). Conceptual challenges with the graphical representation of the propagation of a pulse in a string. Physical Review Physics Education Research, 18(2), art. no. 020119. https://doi.org/10.1103/PhysRevPhysEducRes.18.020119
Redish, E. (2022). Using math in physics: 5. Functional dependence. Physics Teacher, 60(1), 18-21. https://doi.org/10.1119/5.0040055
Shaik, M. G. (2025). Pedagogical approaches to collaborative learning: An analytical study. AIP Conference Proceedings, 3237(1), art. no. 050001. https://doi.org/10.1063/5.0248162
Ting, F. S. T., Lam, W. H., & Shroff, R. H. (2019). Active learning via problem-based collaborative games in a large mathematics university course in Hong Kong. Education Sciences, 9(3), art. no. 172. https://doi.org/10.3390/educsci9030172
Yerizon, A., Arnellis, F., Tasman, F., & Widjaja, W. (2023). Enhancing junior high school students' reasoning of linear equations using GeoGebra software. International Journal of Interactive Mobile Technologies, 17(18), 16-32. https://doi.org/10.3991/ijim.v17i18.41441
Yu, X. (2024). Empirical study on effect of mathematical visualization tools on learning partial differential equations using Java 2 platform enterprise edition. Proceedings of the 2024 IEEE 6th Eurasia Conference on Biomedical Engineering, Healthcare and Sustainability, ECBIOS 2024, 348-352. https://doi.org/10.1109/ECBIOS61468.2024.10885443
Zagoto, M. M., Musdi, E., Arnawa, I. M., Fauzan, A., Bentri, A., & Dakhi, O. (2025). Effectiveness of GeoGebra-based learning on students’ cognitive and affective participation in mathematics. Salud, Ciencia y Tecnologia, 5, art. no. 2001. https://doi.org/10.56294/saludcyt20252001
Zetriuslita, N., Nofriyandi, & Istikomah, E. (2019). The effectiveness of GeoGebra-assisted direct instruction learning in improving students' mathematical communication skills viewed from academic level. Journal of Physics: Conference Series, 1315(1), 012049. https://doi.org/10.1088/1742-6596/1315/1/012049
Zhang, Y., Wang, P., Jia, W., Zhang, A., & Chen, G. (2025). Dynamic visualization by GeoGebra for mathematics learning: A meta-analysis of 20 years of research. Journal of Research on Technology in Education, 57(2), 437-458. https://doi.org/10.1080/15391523.2023.2250886
Ziatdinov, R., & Valles, J. R. (2022). Synthesis of modeling, visualization, and programming in GeoGebra as an effective approach for teaching and learning STEM topics. Mathematics, 10(3), art. no. 398. https://doi.org/10.3390/math10030398
Ziatdinov, R., Valles, J. R., & Jr. (2022). Exploiting the potential of dynamic asymmetry in dragging to foster students’ understanding of functions and their Cartesian graphs. Springer International Handbooks of Education, F3098, 381-407. https://doi.org/10.1007/978-3-031-45667-1_14
Zulnaidi, H., Oktavika, E., & Hidayat, R. (2020). Effect of use of GeoGebra on achievement of high school mathematics students. Education and Information Technologies, 25(1), 51–72. https://doi.org/10.1007/s10639-019-09899-y
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 International Journal of Science and Mathematics Education

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


