El aula invertida en el aprendizaje de progresiones aritméticas en estudiantes de segundo de bachillerato

Authors

DOI:

https://doi.org/10.70577/ks00bd25

Keywords:

flipped classroom; arithmetic progressions; active learning methodologies; sequences; algebraic thinking.

Abstract

The purpose of this study was to analyze the contribution of the flipped classroom to the learning of arithmetic progressions among 12th-grade students at a public school in the Lago Agrio canton, in the city of Nueva Loja, Ecuador. The study was conducted using a quantitative approach with a quasi-experimental and statistical design; in addition, pretests and posttests were used for data collection. The sample was selected through convenience sampling, taking into account criteria of accessibility and feasibility, and consisted of 40 students (n=40), divided into an experimental group and a control group. The results showed that the flipped classroom made a statistically significant and positive contribution to learning arithmetic progressions; thus, the experimental group showed an increase in performance, rising from 6.98 points on the pretest to 8.06 points on the posttest, representing a gain of 1.08 points; in contrast, the control group showed a decrease, falling from 7.10 points on the pretest to 6.85 points on the posttest. Furthermore, an inferential statistical test was included to confirm statistical significance; this included tests such as Student’s t-test for paired samples, t-test for independent samples, ANCOVA, analysis of differences of differences, and confidence intervals. The intervention was of limited duration; the results should be interpreted in light of the exploratory and contextual nature of the study, but they serve as a basis for considering the application of this methodology in future research.

Downloads

Download data is not yet available.

References

Ausubel, D. P. (1968). Educational Psychology: A Cognitive View. Holt, Rinehart and Winston, Inc.

Bergmann, J., & Sams, A. (2012). Flip Your Classroom: Reach Every Student in Every Class Every Day. International Society .

Bruner, J. S. (1960). The Process of Education. Harvard University Press.

Fernández, P., Vallejo, G., Livacic-Rojas, P., & Tuero, E. (2014). Structured Validity for a quasi-experimental research of quality. They are fulfilled 50 years of the presentation in company of the quasi-experimental designs. Anales De Psicología Annals of Psychology, 30(2), 756–771. https://doi.org/10.6018/analesps.30.2.166911

Galarza, A. A. (2011). Habilidades para desempeñar cargos gerenciales en las pymes de la industria manufacturera de Quito sector de fabricación de maquinaria y equipo N.C.P. subsector de fabricación de otros tipos de maquinaria de uso general . Pontificia Universidad Católica del Ecuador: https://repositorio.puce.edu.ec/server/api/core/bitstreams/ca139e94-b4b0-4799-b5fb-8d5c8dcb4c76/content

Hernández-Sampieri, R., Fernández, C., & Baptista, P. (2018). Metodología de la investigación (6ª ed. ed.). McGraw-Hill Education.

Piaget, J. (1952). The child's conception of number. The Norton Library.

Piaget, J. (2001). Studies in Reflecting Abstraction (Vol. Trabajo original publicado en 1977). (R. L. Campbell, Ed., & R. L. Campbell, Trad.) Psychology Press.

Vygotsky, L. (1978). Mind in Society: Development of Higher Psychological Processes. Harvard University Press.

Vygotsky, L. (1986). Thought and Lenguage. MIT Press.

Downloads

Published

2026-08-24

How to Cite

El aula invertida en el aprendizaje de progresiones aritméticas en estudiantes de segundo de bachillerato. (2026). Visión Académica, 4(3), 812-838. https://doi.org/10.70577/ks00bd25

Similar Articles

You may also start an advanced similarity search for this article.