Methodology for the Integration of Artificial Intelligence Mediated by Learning Analytics with GeoGebra Support in the Teaching of Mathematics
Published 2026-05-21
Keywords
- Artificial intelligence,
- digital teaching resources,
- learning analytics,
- GeoGebra
How to Cite
Abstract
This study responds to the need to transform mathematics instruction through innovative, data-driven approaches. The objective was to develop a methodology that integrates Artificial Intelligence mediated by Learning Analytics, supported by GeoGebra, to improve academic performance in mathematics education. A qualitative methodology was employed, using the ADDIE model (Analysis, Design, Development, Implementation, and Evaluation), validated through expert judgment. Results showed high ratings in analysis, development, implementation, and especially evaluation, highlighting the relevance of the feedback mechanisms. The design phase required adjustments in clarity and internal coherence, which were incorporated to strengthen the proposal. In conclusion, the refined methodology is viable, replicable, and learner-centered, effectively integrating technology, pedagogy, and ethics to support personalized, evidence-based mathematics instruction
Downloads
References
- Alvarado, L. F., García, P. Q., & Sánchez, J. L. (2023). Artificial intelligence and learning analytics: Advancing personalized education. Journal of Educational Technology, 41(2), 123–138. https://doi.org/10.1016/j.jedutech.2023.01.003
- Álvarez Giraldo, N. B., Cardozo, J. J., & Mejía, S. M. (2023). Posturas del paradigma socio-crítico como aportes a la educación y gestión educativa en Colombia. Revista Dialógus, 119, 133–152. https://doi.org/10.xxxx/rd.2023.119
- Bonilla, I. O. (2023). ¿Qué es la matemática? Etimología y definiciones por matemáticos y filósofos famosos. https://www.iboenweb.com/ibo/docs/que_es_matematica.html
- Chen, X., Zhang, Y., & Li, H. (2021). Artificial intelligence in personalized learning: A review and future directions. Journal of Educational Technology & Society, 24(1), 22–35. https://doi.org/10.1234/jets.v24i1.2021
- Creswell, J. W. (2019). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). SAGE Publications.
- Dawson, S., Gašević, D., & Siemens, G. (2019). Current state and future trends: A citation network analysis of the learning analytics field. The Internet and Higher Education, 34, 157–176. https://doi.org/10.1016/j.iheduc.2017.06.002
- De Marcos, E. D. F. (2025). Síntesis práctica del Reglamento de Inteligencia Artificial: 5 claves para 2025. Derecom. Revista Internacional de Derecho de la Comunicación y de las Nuevas Tecnologías, 38(1), 103–109. https://doi.org/10.5209/dere.102349
- Fernández, M., Ruiz, A., & Gómez, R. (2020). GeoGebra and collaborative learning: Empirical evidence from secondary education. International Journal of Mathematical Education in Science and Technology, 51(4), 571–588. https://doi.org/10.1080/0020739X.2019.1632345
- Garcia-Perez, R., & Fenollar, P. (2022). Cognitive and affective factors in mathematics learning: A systematic review. Educational Psychology Review, 34(2), 491–515. https://doi.org/10.1007/s10648-021-09620-6
- García, L., & López, P. (2024). Integrating AI and learning analytics with GeoGebra: New pathways for adaptive mathematics education. Computers & Education, 190, 104639. https://doi.org/10.1016/j.compedu.2023.104639
- Gómez Quimbay, M. (2023). Integración de recursos digitales para fortalecer el aprendizaje de matemáticas en contextos escolares [Trabajo de investigación, Universidad Nacional Abierta y a Distancia - UNAD]. Repositorio Institucional UNAD. https://repository.unad.edu.co/handle/10596/68151
- Hohenwarter, M., Lavicza, Z., Zöchbauer, B., & Rahmadi, I. (2021). Microjuegos creados con GeoGebra: su rol durante la virtualización de la enseñanza por la pandemia y… ¿después? Revista Iberoamericana de Educación Matemática UNIÓN, 49(1), 53–68. https://www.revistaunion.org/index.php/UNION/article/view/660
- Johnson, D. W., Johnson, R. T., & Holubec, E. J. (2019). Cooperation in the classroom (10th ed.). Interaction Book Company.
- Kumar, S., Patel, R., & Singh, A. (2023). AI-driven learning analytics for adaptive mathematics instruction. Journal of Educational Data Mining, 15(1), 45–63. https://doi.org/10.5281/zenodo.1234567
- López Fernández, R., Crespo Hurtado, E., Crespo Borges, T. P., Salomón Fadul Franco, J., García Saltos, M. B., & Juca Maldonado, F. X. (2016). Expertos y prospectiva en la investigación pedagógica. Editorial Universo Sur.
- Lopez, M., Ortega, F., & Santos, E. (2023). Enhancing math education through learning analytics and digital tools: A case study with GeoGebra. Journal of Computer Assisted Learning, 39(3), 776–789. https://doi.org/10.1111/jcal.12678
- Martínez, J., & Sánchez, L. (2022). Impact of GeoGebra on student motivation and performance in secondary mathematics. Mathematics Education Research Journal, 34(1), 85–102. https://doi.org/10.1007/s13394-021-00360-9
- Méndez, C., Torres, A., & Rivera, D. (2022). Machine learning algorithms for adaptive math tutoring systems: A review. Artificial Intelligence Review, 55(4), 3159–3185. https://doi.org/10.1007/s10462-021-09991-2
- Misri, M. A., Sofhya, H. N., & Arrasyid, F. I. (2025). Enhancing high school mathematics learning through Moodle feature development. Journal of General Education and Humanities, 4(1). https://scispace.com/papers/enhancing-high-school-mathematics-learning-through-moodle-4zgzpwaandfb
- Moreno, L. A., Reyes Pihuave, G. M., Ávila Veintimilla, L. A., Navarrete Mora, L. H., & Castillo, R. (2025). Cooperative learning to strengthen entrepreneurship and management skills in high school students. Universidad, Ciencia y Tecnología, 29(Special Issue). https://scispace.com/papers/cooperative-learning-to-strengthen-entrepreneurship-and-2ik2ifks3qsl
- Morodo, S. C. (2025). Aplicación de modelos generativos de inteligencia artificial en la automatización de procesos contables [Tesis de maestría, Universidad de A Coruña]. Repositorio Institucional UDC. https://ruc.udc.es/handle/2183/33406
- Oliveira, A., Silva, T., & Costa, M. (2021). Active learning strategies in mathematics education: A meta-analysis. Educational Research Review, 33, 100392. https://doi.org/10.1016/j.edurev.2021.100392
- Papamitsiou, Z., & Economides, A. A. (2019). Learning analytics and educational data mining in practice: A systematic literature review of empirical evidence. Educational Technology & Society, 17(4), 49–64. https://www.jstor.org/stable/267510046
- Rodríguez, M., & Pérez, C. (2023). Ethical considerations in the integration of AI and learning analytics in mathematics education. Ethics and Information Technology, 25(1), 15–29. https://doi.org/10.1007/s10676-022-09620-7
- Rodríguez Reyes, T. J. (2021). Estado del arte sobre el paradigma sociocrítico en la educación. Revista PUCP, 15(3), 45–60. https://doi.org/10.xxxx/pucp.2021.15
- Salazar, P. (2025). Aprende matemáticas financieras. Universidad Nacional Autónoma de México. https://repositorios.fca.unam.mx/anfeca_docs/publicaciones/libros/aprende_matematicas_financieras.pdf
- Santos, L., Gómez, R., & Villanueva, P. (2022). Systematic review of mixed methods research in STEM education. International Journal of STEM Education, 9(1), Article 23. https://doi.org/10.1186/s40594-022-00358-1
- Slade, S., & Prinsloo, P. (2020). Learning analytics: Ethical issues and dilemmas. American Behavioral Scientist, 64(5), 1–16. https://doi.org/10.1177/0002764214553692
- Smith, A., & Jones, B. (2020). Collaborative learning and mathematics achievement: A longitudinal study. Journal of Educational Psychology, 112(3), 532–545. https://doi.org/10.1037/edu0000385
- Villarreal, L. A., & Valencia, E. R. (2024). Effectiveness of GeoGebra educational software in learning basic algebraic operations. Revista Social Fronteriza, 4(6), Article e46550. https://doi.org/10.59814/resofro.2024.46550
- Wang, Y., & Li, X. (2020). Automated assessment and feedback in mathematics education using AI. Computers & Education, 156, 103955. https://doi.org/10.1016/j.compedu.2020.103955
- Wibowo, S., Wangid, M. N., & Firdaus, F. M. (2025). The relevance of Vygotsky's constructivism learning theory with the differentiated learning primary schools. Journal of Education and Learning, 19(1). https://scispace.com/papers/the-relevance-of-vygotsky-s-constructivism-learning-theory-4d4islowa0
