El aula invertida en el aprendizaje de matemática en estudiantes universitarios: una revisión sistemática

Autores/as

DOI:

https://doi.org/10.53732/rccsociales/e70114

Palabras clave:

Competencia digital, educación y desarrollo, autonomía educativa, aprendizaje, tecnología educacional, universidad

Resumen

El aula invertida es una metodología educativa que ha ganado relevancia en los últimos años debido a su enfoque en la inversión del método tradicional de enseñanza. En lugar de recibir instrucción directa en el aula, los estudiantes acceden a los contenidos teóricos fuera de clase y utilizan el tiempo en el aula para realizar actividades prácticas y colaborativas. El objetivo de este artículo de revisión sistemática es examinar y la evidencia existente sobre el uso del aula invertida en la enseñanza de matemáticas a estudiantes universitarios. Se usó un enfoque cualitativo de revisión literaria en bases de datos como WoS, Scielo y Scopus, donde se implementó las directrices de la declaración PRISMA para revisiones sistemáticas. Se aplicó criterios de inclusión y exclusión para la selección final de una muestra de 15 artículos para su revisión. Los estudios muestran que el aula invertida tiene beneficios claros en términos de mayor implicación personal en el aprendizaje, mejora en la comprensión de conceptos complejos, flexibilidad en el ritmo de estudio y una mayor interacción entre estudiantes y docentes. Se concluye que los estudiantes con estilo de aprendizaje asimilador presentan niveles más altos de satisfacción con esta metodología.

Citas

Aguilera-Ruiz, C., Manzano-León, A., Martínez-Moreno, I., Lozano-Segura, M. C., y Casiano Yanicelli, C. (2017). El modelo Flipped Classroom. International Journal of Developmental and Educational Psychology. Revista INFAD de Psicología., 4(1), 261-266. https://doi.org/10.17060/ijodaep.2017.n1.v4.1055

Algarni, B., & Lortie-Forgues, H. (2023). An evaluation of the impact of flipped-classroom teaching on mathematics proficiency and self-efficacy in Saudi Arabia. British Journal of Educational Technology, 54(1), 414–435. https://doi.org/10.1111/bjet.13250

Arias-Rueda, J. (2021). El modelo flipped classroom en la educación virtual: Una experiencia en matemáticas universitarias. Educare, 25(2), 215–236. https://doi.org/10.46498/reduipb.v25i2.1468

Ayob, H. H., Daleure, G., Solovieva, N., Minhas, W., & White, T. (2023). The effectiveness of using blended learning teaching and learning strategy to develop students’ performance at higher education. Journal of Applied Research in Higher Education, 15(3), 650–662. https://doi.org/10.1108/JARHE-09-2020-0288

Azizah, T., Fauzan, A., & Harisman, Y. (2022). “Flipped classroom type peer instruction-based learning” Based on a website to improve student’s problem solving. Infinity Journal, 11(2), 325–348. https://doi.org/10.22460/infinity.v11i2.p325-348

Barros, V., & Calero, M. (2018). Aula invertida en la enseñanza de Álgebra en la educación superior. Espirales, 2(13), 12–23. https://www.revistaespirales.com/index.php/es/article/view/150

Bergmann, J. & Sams, A. (2017). Learning for Math Instruction. International Journal of Mathematical Education in Science and Technology. https://www.academia.edu/34679122/Jonathan_Bergmann_and_Aaron_Sams_Flipped_Learning_Gateway_to_Student_Engagement_International_Society_for_Technology_in_Education_Eugene_Oregon_and_Washington_DC_2014_169_pp_ISBN_978_1_56484_344_9

Boater, J. (2016). Mathematical Mindsets: unleashing students’ potential through creative math, inspiring messages and innovative teaching. Jossey-Bass.

Butzler, K. B. (2015). ConfChem Conference on Flipped Classroom: Flipping at an Open-Enrollment College. Journal of Chemical Education, 92(9), 1574–1576. https://doi.org/10.1021/ed500875n

Castro, D. (2021). Flipped classroom en cursos universitarios de cálculo: metodologías usadas y resultados obtenidos. Emprendimiento Científico Tecnológico, (2), 1–11. https://doi.org/10.54798/DMUJ4895

Chen, Y., Wang, Y., Kinshuk, & Chen, N. S. (2014). Is FLIP enough? or should we use the FLIPPED model instead? Computers and Education, 79, 16–27. https://doi.org/10.1016/j.compedu.2014.07.004

Cronhjort, M., Filipsson, L., & Weurlander, M. (2018). Improved engagement and learning in flipped-classroom calculus. Teaching Mathematics and Its Applications, 37(3), 113–121. https://doi.org/10.1093/TEAMAT/HRX007

de Araujo, Z., Otten, S., & Birisci, S. (2017). Teacher-created videos in a flipped mathematics class: digital curriculum materials or lesson enactments? ZDM - Mathematics Education, 49(5), 687–699. https://doi.org/10.1007/s11858-017-0872-6

Del Arco Bravo, I., Alarcia, Ó. F., & García, P. S. (2019). The development of the model flipped classroom at university: Impact of its implementation from student voice. Revista de investigación Educativa, 37(2), 451–469. https://doi.org/10.6018/rie.37.2.327831

Diana, Surjono, H. D., & Mahmudi, A. (2023). The effect of flipped classroom learning model on students’ understanding of mathematical concepts and higher-order thinking skills. International Journal of Information and Education Technology, 13(12), 2014–2022. https://doi.org/10.18178/ijiet.2023.13.12.2016

Díaz, J. L. (2024). Integrating the anthropological theory of didactics in multivariate calculus education: Challenges, pedagogical shifts, and innovative activities. International Electronic Journal of Mathematics Education, 19(1), em0767. https://doi.org/10.29333/iejme/14142

Ding, H. (2024). A flipped classroom teaching model of college mathematics in colleges and universities based on the background of deep learning. Applied Mathematics and Nonlinear Sciences, 9(1). https://doi.org/10.2478/amns.2023.2.01234

Durán, M., & Viguera, J. (2023). Aula invertida inteligente como estrategia didáctica emergente para la enseñanza aprendizaje de matemática. Revista Cubana de Educación Superior, 42(1), 1–16. http://scielo.sld.cu/pdf/rces/v42n1/0257-4314-rces-42-01-16.pdf

Egara, F. O., & Mosimege, M. (2024a). Effect of blended learning approach on secondary school learners’ mathematics achievement and retention. Education and Information Technologies. 29, 19863-19888. https://doi.org/10.1007/s10639-024-12651-w

Egara, F. O., & Mosimege, M. (2024b). Effect of flipped classroom learning approach on mathematics achievement and interest among secondary school students. Education and Information Technologies, 29(7), 8131–8150. https://doi.org/10.1007/s10639-023-12145-1

Espada, M., Rocu, P., Navia, J. A., y Gómez-López, M. (2020). Rendimiento académico y satisfacción de los estudiantes universitarios hacia el método flipped classroom. Profesorado, 24(1), 116–135. https://doi.org/10.30827/profesorado.v24i1.8710

Estévez-Méndez, J. L., Díaz Palencia, J. L., Sánchez Sánchez, A., y Roa González, J. (2024). Evaluación de variables contextuales en la implementación de la metodología Flipped Classroom en educación secundaria. RIED-Revista Iberoamericana de educación a Distancia, 27(2). https://doi.org/10.5944/ried.27.2.38980

Fernández-Martín, F. D., Romero-Rodríguez, J. M., Gómez-García, G., & Navas-Parejo, M. R. (2020). Impact of the flipped classroom method in the mathematical area: A systematic review. In Mathematics, 8(12), 2162. https://doi.org/10.3390/math8122162

Fung, C. H. (2020). How does flipping classroom foster the STEM education: A case study of the FPD Model. Technology, Knowledge and Learning, 25(3), 479–507. https://doi.org/10.1007/s10758-020-09443-9

Fung, C. H., Poon, K. K., Besser, M., & Fung, M. C. (2024). Improving short-term academic performance in the flipped classroom using dynamic geometry software. Journal of Computer Assisted Learning, 40(2), 775–786. https://doi.org/10.1111/jcal.12914

Gasparič, R. P., Glavan, M., Mihelič, M. Ž., & Zuljan, M. V. (2024). Effectiveness of flipped learning and teaching: knowledge retention and students’ perceptions. Journal of Information Technology Education: Research, 23, 1. https://doi.org/10.28945/5237

Gómez-Hurtado, I., García-Rodríguez, M. P., González-Falcón, I., y Coronel Llamas, J. M. (2020). Adaptación de las metodologías activas en la educación universitaria en tiempos de pandemia . Revista Internacional de educación para la Justicia Social, 9(3), 415–433. https://doi.org/10.15366/RIEJS2020.9.3.022

Herrera Gil, Y., y Rueda Bolaños, J. H. (2022). La enseñanza de la capacidad de la resolución de problemas a través de la modalidad de aula invertida. [Tesis de Maestría, Universidad de La Salle]. https://bibliotecadigital.oducal.com/Record/ir-maest_docencia-1771/Description?sid=150780

Hidayat, W., & Aripin, U. (2023). How to develop an E-LKPD with a scientific approach to achieving students’ mathematical communication abilities? Infinity Journal, 12(1), 85–100. https://doi.org/10.22460/infinity.v12i1.p85-100

Idsardi, R., Friedly, I., Mancinelli, J., Usai, N., & Matos, L. F. (2023). Outcomes of early adopters implementing the flipped classroom approach in undergraduate STEM Courses. Journal of Science Education and Technology, 32(5), 655–670. https://doi.org/10.1007/s10956-023-10066-9

Jdaitawi, M. (2019). The effect of flipped classroom strategy on students learning outcomes. International Journal of Instruction, 12(3), 665–680. https://doi.org/10.29333/iji.2019.12340a

Kadarisma, G., Juandi, D., & Darhim. (2024). Global trends in flipped classroom research within mathematics education over past two decade: a bibliometric analysis. Infinity Journal, 13(2), 531–552. https://doi.org/10.22460/infinity.v13i2.p531-552

Kämpf, L., & Stallmach, F. (2024). Spiral-curricular blended learning for the mathematics education in physics teacher training courses. Frontiers in Education, 9. https://doi.org/10.3389/feduc.2024.1450607

Kiem, M. T., & Keodavan, X. (2024). Unpacking the advantages and challenges of flipped classrooms in initial mathematics teacher education in Vietnam. Eurasia Journal of Mathematics, Science and Technology Education, 20(5), em2437. https://doi.org/10.29333/ejmste/14449

Kim, J. Y. (2018). A study of students’ perspectives on a flipped learning model and associations among personality, learning styles and satisfaction. Innovations in Education and Teaching International, 55(3), 314–324. https://doi.org/10.1080/14703297.2017.1286998

Kwon, J. E., & Woo, H. R. (2018). The impact of flipped learning on cooperative and competitive mindsets. Sustainability (Switzerland), 10(1), 79. https://doi.org/10.3390/su10010079

Lage, M., Platt, G., & Treglia, M. (2000). Inverting the classroom: A gateway to creating an inclusive learning environment. The Journal of Economic Education, 31(1),30-43. https://doi.org/10.2307/1183338

Lai, C. L., & Hwang, G. J. (2016). A self-regulated flipped classroom approach to improving students’ learning performance in a mathematics course. Computers and Education, 100, 126–140. https://doi.org/10.1016/j.compedu.2016.05.006

Lockhart, P. (2009). A mathematician’s lament: how school cheats us out of our most fascinating and imaginative art form. Bellevue Literary Press.

Maluenda Albornoz, J., Varas Contreras, M., & Chacano Osses, D. (2021). Efectos del aula invertida y la evaluación auténtica en el aprendizaje de la matemática universitaria en estudiantes de primer año de ingeniería. Educación, 30(58). https://doi.org/10.18800/educacion.202101.010

Mason, G. S., Shuman, T. R., & Cook, K. E. (2013). Comparing the effectiveness of an inverted classroom to a traditional classroom in an upper-division engineering course. IEEE Transactions on Education, 56(4), 430–435. https://doi.org/10.1109/TE.2013.2249066

Mazur, E. (1997). Peer Instruction: A User’s Manual. Prentice Hall.

Menino, H., Reis, S., & Oliveira, A. (2024). Portuguese students’ perceptions of the flipped classroom: a case study in didactics of mathematics in higher education. Journal of Global Business and Technology, 20(2), 20–33. https://gbata.org/wp-content/uploads/2024/07/JGBAT-Volume-20-Number-2.pdf

Orlić, S., Marić, M., & Petojević, A. (2023). Implementing the flipped classroom model in mathematics class teaching. South African Journal of Education, 43(4). https://doi.org/10.15700/saje.v43n4a2223

Pérez Collantes, R. D., Alberto Lovera, P. C., Gonzales Zuñiga De Las Casas, N. E., & Salvatierra Melgar, Á. (2022). Aula Invertida para el aprendizaje de Física a nivel universitario. Horizontes. Revista de Investigación en Ciencias de La Educación, 6(23), 404–417. https://doi.org/10.33996/revistahorizontes.v6i23.343

López Rengifo, C. F., Perez, E. C., & Rivera, E. R. E. (2023). Optimización de funciones con derivadas en aula invertida: estudio a través de múltiples estrategias didácticas. Praxis Educativa, 18. https://doi.org/10.5212/praxeduc.v.18.21394.019

Rodrigues, A. L., Lin, T.-C., Ramos Navas-Parejo, M., & Ramos-Pla, A. (2022). Bibliometric analysis of the flipped classroom pedagogical model: Trends and strategic lines of study. Frontiers, 7, 1–14. https://doi.org/10.3389/feduc.2022.1022295

Ruiz, J., Francisco, P., Guillén-Gámez, D., Colomo-Magaña, E., & Sánchez-Vega, E. (2023a). Effectiveness of the Flipped Classroom in the Teaching of Mathematics in an Online Environment: Identification of Factors Affecting the Learning Process.

Effectiveness of the Flipped Classroom Online Learning Journal, 27(2). https://doi.org/10.24059/olj.v27i2.3239

Salas-Rueda, R.A. (2023). Perception of Students about the Effectiveness of the Flipped Classroom and Technological Tools in the Learning of Mathematics. Journal of Learning for Development, 10(3), 376–391. https://eric.ed.gov/?id=EJ1411305

Sablan, J. R., & Prudente, M. (2022). Traditional and flipped learning: Which enhances students’ academic performance better? International Journal of Information and Education Technology, 12(1), 54–59. https://doi.org/10.18178/ijiet.2022.12.1.1586

Sánchez-Soto, L., y García-Martín, J. (2023). El impacto psicoeducativo de la metodología Flipped Classroom en la Educación Superior: una revisión teórica sistemática. Revista Complutense de Educación, 34(1), 217–229. https://doi.org/10.5209/rced.77299

Selcuk, A. A. (2019). A Guide for Systematic Reviews: PRISMA. Turkish Archives of Otorhinolaryngology, 57(1), 57–58. https://doi.org/10.5152/tao.2019.4058

Shea, B. J., Grimshaw, J. M., Wells, G. A., Boers, M., Andersson, N., Hamel, C., Porter, A. C., Tugwell, P., Moher, D., & Bouter, L. M. (2007). Development of AMSTAR: A measurement tool to assess the methodological quality of systematic reviews. BMC Medical Research Methodology, 7. https://doi.org/10.1186/1471-2288-7-10

Sørensen, M. H., & Medbø, J. I. (2022). To what extent does flipped classroom teaching affect students’ learning outcomes in 9th grade mathematics compared to traditional teaching? Acta Didáctica Norden, 16(3). https://doi.org/10.5617/adno.9268

Torres, J. E., & Jarquín, R. F. (2023). Importancia de la comunicación para la educación en el aprendizaje de la Matemática. Revista Torreón Universitario, 12(34), 17–22. https://doi.org/10.5377/rtu.v12i34.16337

Ventosilla Sosa, D. N., Santa María Relaiza, H. R., Ostos De La Cruz, F., & Flores Tito, A. M. (2021). Aula invertida como herramienta para el logro de aprendizaje autónomo en estudiantes universitarios. Propósitos y Representaciones, 9(1). https://doi.org/10.20511/pyr2021.v9n1.1043

Wong, J. Y., Azam, A. B., Cao, Q., Huang, L., Xie, Y., Winkler, I., & Cai, Y. (2024). Evaluations of Virtual and Augmented Reality Technology-Enhanced Learning for Higher Education. Electronics, 13(8). https://doi.org/10.3390/electronics13081549

Yan, J., Liu, S., Armwood-Gordon, C., & Li, L. (2024). Factors affecting Active Flipped Learning on Underrepresented students in Three STEM Courses. Education and Information Technologies, 29, 10791–10804. https://doi.org/10.1007/s10639-023-12234-1

Yang, W., Zhang, X., Chen, X., Lu, J., & Tian, F. (2024). Based case based learning and flipped classroom as a means to improve international students’ active learning and critical thinking ability. BMC Medical Education, 24(1). https://doi.org/10.1186/s12909-024-05758-8

Yohannes, A., & Chen, H. L. (2024). The effect of flipped realistic mathematics education on students’ achievement, mathematics self-efficacy and critical thinking tendency. Education and Information Technologies, 29, 16177-16203. https://doi.org/10.1007/s10639-024-12502-8

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Publicado

2025-06-04

Cómo citar

Reyes, K., Solís Trujillo , B. P., Contreras Litardo, A. C., & Chara de los Ríos, T. (2025). El aula invertida en el aprendizaje de matemática en estudiantes universitarios: una revisión sistemática. Revista científica En Ciencias Sociales, 7, 01–17. https://doi.org/10.53732/rccsociales/e70114

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