The Impact of Using GeoGebra on the Teaching of Quadratic Functions in the First Year of High School
DOI:
https://doi.org/10.62452/a6f7f808Keywords:
GeoGebra, teaching, learning, modeling, quadratic functionAbstract
Quadratic functions are essential for understanding everyday situations; their application is found in trajectories, costs, parabolic motion, and more. However, teaching them has presented a challenge in high school due to the prevalence of static blackboard representations that hinder the dynamic visualization of the parabola and its connection to other representations. The objective of this research was to determine the impact of implementing a teaching strategy based on GeoGebra as a digital resource for teaching quadratic functions in the first year of high school at the “Arnaldo Calderón Coello Educational Unit.” This study employed a mixed-methods approach, based on a quasi-experimental design with an explanatory scope. The instruments used were pre-test and post-test questionnaires (validated with KR-20), a satisfaction survey (validated with Cronbach's alpha), and a teacher interview. The sample consisted of 27 students: 13 in the control group, who received traditional instruction, and 14 in the experimental group, where the intervention was implemented. The proposed teaching strategy mathematical modeling with GeoGebra—was based on the theories of Piaget, Vygotsky, Duval, and Ausubel. After its implementation, it was demonstrated that students in the experimental group showed a significant difference compared to the control group. In conclusion, GeoGebra is an interactive resource that allows for the exploration and understanding of the parameters and properties of quadratic functions, proving beneficial for teaching and learning.
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References
Ausubel, D. (2002). Adquisición y retención del conocimiento: Una perspectiva cognitiva. Paidós.
Bautista-Díaz, M. L., Victoria-Rodríguez, E., Vargas-Estrella, L. B., & Hernández-Chamosa, C. C. (2020). Pruebas estadísticas paramétricas y no paramétricas: Su clasificación, objetivos y características. Educación y Salud Boletín Científico Instituto de Ciencias de la Salud Universidad Autónoma del Estado de Hidalgo, 9(17), 78–81. https://doi.org/10.29057/icsa.v9i17.6293
Carapás Revelo, A. C., Anrango Sosa, M. A., Morales Chilo, M. O., Vaca Montenegro, M. L., & Pico López, K. A. (2025). Impacto del GeoGebra como recurso didáctico en el aprendizaje de la función cuadrática para estudiantes de bachillerato. LATAM Revista Latinoamericana de Ciencias Sociales y Humanidades, 6(3), 2223–2233. https://doi.org/10.56712/latam.v6i3.4106
Carrión Cano, H. A., Beato Diaz, O., José Tineo, A., & Mendoza Talledo, O. L. (2025). GeoGebra como herramienta didáctica para fortalecer el aprendizaje de vectores en el espacio en la asignatura de Cálculo de Varias Variables. Revista Científica de Innovación Educativa y Sociedad Actual “ALCON”, 5(1), 208–217. https://doi.org/10.62305/alcon.v5i1.426
Davila, B., Avelio, J., Benavides, R., & Davila, D. (2024). Impacto del uso del software GeoGebra en el aprendizaje de las funciones cuadráticas en estudiantes de bachillerato. Revista Minerva, 5(9). https://revistas.ug.edu.ec/index.php/minerva/article/view/1611
Duval, R. (2017). Semiosis y pensamiento humano: Registros semióticos y aprendizajes intelectuales (2.ª ed.). Universidad del Valle.
Ecuador. Ministerio de Educación. (2019). Currículo de los niveles de educación obligatoria. Nivel bachillerato (Tomo 2). https://es.scribd.com/document/429544303/BGU-tomo-2
Ecuador. Ministerio de Educación. (2021). Currículo priorizado con énfasis en competencias comunicacionales, matemáticas, digitales y socioemocionales. Nivel de bachillerato. https://educacion.gob.ec/wp-content/uploads/downloads/2021/12/Curriculo-priorizado-con-enfasis-en-CC-CM-CD-CS_Superior.pdf
Endara Crespata, L., Proaño Alulema, M., & Peñafiel Gaibor, G. (2022). Las estrategias metodológicas y funciones cuadráticas. AlfaPublicaciones, 4(3.1), 516–532. https://doi.org/10.33262/ap.v4i3.1.277
Gómez, A. L., Guirette, R., & Morales, F. (2022). Propuesta para el tratamiento de interpretación global de la función cuadrática mediante el uso del software GeoGebra. Educación Matemática, 29(3), 189–224. https://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S2448-80892017000300189
Hernández-Yañez, L., García-García, J., & Campo-Meneses, J. (2023). Conexiones matemáticas asociadas al concepto de ecuación cuadrática que establecen futuros profesores mexicanos de matemáticas. Revista Uniciencia, 37(1), 1–19. https://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S2215-34702023000100228
Huamán, R. (2025). GeoGebra en el entorno educacional básica: Una revisión sistemática. Horizontes Revista de Investigación en Ciencias de la Educación, 9(39), 3194–3210. https://doi.org/10.33996/revistahorizontes.v9i39.1112
Jiménez García, J. G., & Jiménez Izquierdo, S. (2017). GeoGebra, una propuesta para innovar el proceso enseñanza-aprendizaje en matemáticas. Revista Electrónica sobre Tecnología, Educación y Sociedad, 4(7). https://www.ctes.org.mx/index.php/ctes/article/view/654
Machuca Yaguana, J. A., Maldonado Machuca, M. E., & Vinces Vinces, F. V. (2023). Tratamiento y representación de datos provenientes de escalas tipo Likert. Ciencia Latina Revista Científica Multidisciplinar, 7(4), 736-747. https://doi.org/10.37811/cl_rcm.v7i4.6905
Nanjundeswaraswamy, T. S., & Divakar, S. (2021). Determination of sample size and sampling methods in applied research. Proceedings on Engineering Sciences, 3(1), 25–32. https://pesjournal.net/journal/v3-n1/3.pdf
Piaget, J. (1972). La psicología de la inteligencia. Editorial Psique.
Reid O’Connor, B., & Norton, S. (2024). Exploring the challenges of learning quadratic equations and reflecting upon curriculum structure and implementation. Mathematics Education Research Journal, 36(1), 151–176. https://doi.org/10.1007/s13394-022-00434-w
Sebsibe, M., & Abdella, M. (2025). The effects of GeoGebra-integrated instruction on students’ conceptual understanding and problem-solving performance in quadratic functions. F1000Research, 14(671). https://f1000research.com/articles/14-671
Sornoza-Loor, H. R., & Arteaga-Linzán, M. (2022). Estrategias didácticas tecnológicas para mejorar el rendimiento académico en el área de matemática. Revista Científica Multidisciplinaria Arbitrada YACHASUN, 6(11 Ed. esp.), 335–350. https://www.editorialibkn.com/index.php/Yachasun/article/view/254
Tuapanta Dacto, J. V., Duque Vaca, M. A., & Mena Reinoso, A. P. (2017). Alfa de Cronbach para validar un cuestionario de uso de TIC en docentes universitarios. Revista mktDescubre, 10, 37–48. https://dspace.espoch.edu.ec:8080/server/api/core/bitstreams/cea77ec6-5329-4957-beda-64433cd8f771/content
Vygotsky, L. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
Wei, Z., & Thiam Yew, W. (2024). The teaching strategy of teaching quadratic functions using GeoGebra following the 5E instructional model. International Journal of Academic Research in Progressive Education and Development, 13(1). https://ijarped.com/index.php/journal/article/view/694
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Copyright (c) 2026 Lisbeth Claudia Alejandro-Rueda, Jorge Luis Lucas-Santana, Alina Rodríguez-Morales, Graciela Abad-Peña (Autor/a)

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