CLUSTER PROFILES OF ACTIVE LEARNING AND ACADEMIC ENGAGEMENT IN ECUADORIAN TECHNICAL EDUCATION
Main Article Content
Abstract
Most quantitative research on active learning methodologies (ALM) and academic engagement (AE) in higher education compares predefined groups, such as academic programs, using a variable-centered logic that reports average differences between categories the researcher already knows. This study instead asks a person-centered question: do naturally occurring configurations of students exist within a single technical and technological higher education institution, independent of the program they are enrolled in? Using data from 130 students across six academic programs at an Ecuadorian technical and technological higher education institute, hierarchical (Ward's method) and k-means cluster analysis were applied to seven ALM and AE subdimension scores. A three-cluster solution was retained based on silhouette width, the Calinski-Harabasz index, and bootstrap stability (adjusted Rand index = .957 across 200 resamples): a Critically Disengaged profile (n = 13, 10.0%; ALM and AE means near 1.3 of 5), a Moderate-Favorable profile (n = 58, 44.6%; means near 3.9-4.0), and a Highly Engaged profile (n = 59, 45.4%; means near 4.8). Cluster membership was statistically independent of academic program (chi-square = 15.21, df = 10, p = .125) and gender (chi-square = 1.82, df = 2, p = .402), indicating that these profiles cut across, rather than coincide with, the program-based differences documented in a companion comparative study using the same dataset. The findings suggest that a small but identifiable subgroup of students combines low active-learning exposure with low engagement regardless of program, a pattern invisible to between-program comparisons alone, with direct implications for targeted, rather than program-wide, institutional support.
Downloads
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
All articles published in e3 – Journal of Economics, Business and Entrepreneurship in the community of Portuguese-speaking countries are licensed under the Creative Commons Attribution (CC BY) license.
This license allows users to share (copy and redistribute the material in any medium or format) and adapt (remix, transform, and build upon the material) for any purpose, including commercial use, provided that appropriate credit is given to the original author(s) and the journal, a link to the license is provided, and any changes made are indicated.
References
Astin, A. W. (1984). Student involvement: A developmental theory for higher education. Journal of College Student Personnel, 25(4), 297–308.
Becher, T., & Trowler, P. (2001). Academic tribes and territories: Intellectual enquiry and the culture of disciplines (2nd ed.). Open University Press/SRHE.
Bergman, L. R., & Magnusson, D. (1997). A person-oriented approach in research on developmental psychopathology. Development and Psychopathology, 9(2), 291–319. https://doi.org/10.1017/S095457949700206X
Bergman, L. R., & Trost, K. (2006). The person-oriented versus the variable-oriented approach: Are they complementary, opposites, or exploring different worlds? Merrill-Palmer Quarterly, 52(3), 601–632. https://doi.org/10.1353/mpq.2006.0023
Biglan, A. (1973). The characteristics of subject matter in different academic areas. Journal of Applied Psychology, 57(3), 195–203.
Bonwell, C. C., & Eison, J. A. (1991). Active learning: Creating excitement in the classroom. George Washington University.
Caliński, T., & Harabasz, J. (1974). A dendrite method for cluster analysis. Communications in Statistics, 3(1), 1–27. https://doi.org/10.1080/03610927408827101
Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. https://doi.org/10.1007/BF02310555
Fredricks, J. A., Blumenfeld, P. C., & Paris, A. H. (2004). School engagement: Potential of the concept, state of the evidence. Review of Educational Research, 74(1), 59–109. https://doi.org/10.3102/00346543074001059
Freeman, S., Eddy, S. L., McDonough, M., Smith, M. K., Okoroafor, N., Jordt, H., & Wenderoth, M. P. (2014). Active learning increases student performance in science, engineering, and mathematics. Proceedings of the National Academy of Sciences, 111(23), 8410–8415. https://doi.org/10.1073/pnas.1319030111
Kahu, E. R. (2013). Framing student engagement in higher education. Studies in Higher Education, 38(5), 758–773. https://doi.org/10.1080/03075079.2011.598505
Kuh, G. D. (2009). What student affairs professionals need to know about student engagement. Journal of College Student Development, 50(6), 683–706. https://doi.org/10.1353/csd.0.0099
MacCallum, R. C., Widaman, K. F., Zhang, S., & Hong, S. (1999). Sample size in factor analysis. Psychological Methods, 4(1), 84–99. https://doi.org/10.1037/1082-989X.4.1.84
MacQueen, J. B. (1967). Some methods for classification and analysis of multivariate observations. In L. M. Le Cam & J. Neyman (Eds.), Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (Vol. 1, pp. 281–297). University of California Press.
Milligan, G. W., & Cooper, M. C. (1985). An examination of procedures for determining the number of clusters in a data set. Psychometrika, 50(2), 159–179. https://doi.org/10.1007/BF02294245
Morales-Morgado, E. M., Ruiz-Torres, S., Rodero-Cilleros, S., Morales-Romo, B., & Campos-Ortuño, R. A. (2023). Active methodologies in higher education, mediated by technologies across disciplines. Aula, 29, 295–311. https://doi.org/10.14201/aula202329295311
Pazmiño Carrión, J. I. (2026). Metodologías activas y compromiso académico en educación superior tecnológica: Un análisis multidimensional. Espíritu Emprendedor TES, 10(3), 38–52. https://doi.org/10.33970/eetes.v10.n3.2026.488
Pineda-Báez, C., Bermúdez-Aponte, J. J., Rubiano-Bello, Á., Pava-García, N., Suárez-García, R., & Cruz-Becerra, F. (2014). Compromiso estudiantil y desempeño académico en el contexto universitario colombiano. RELIEVE, 20(2), 1–20. https://doi.org/10.7203/relieve.20.2.4238
Prince, M. (2004). Does active learning work? A review of the research. Journal of Engineering Education, 93(3), 223–231. https://doi.org/10.1002/j.2168-9830.2004.tb00809.x
Rousseeuw, P. J. (1987). Silhouettes: A graphical aid to the interpretation and validation of cluster analysis. Journal of Computational and Applied Mathematics, 20, 53–65. https://doi.org/10.1016/0377-0427(87)90125-7
Ryan, R. M., & Deci, E. L. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. American Psychologist, 55(1), 68–78. https://doi.org/10.1037/0003-066X.55.1.68
Taber, K. S. (2018). The use of Cronbach's alpha when developing and reporting research instruments in science education. Research in Science Education, 48(6), 1273–1296. https://doi.org/10.1007/s11165-016-9602-2
Tinto, V. (1993). Leaving college: Rethinking the causes and cures of student attrition (2nd ed.). University of Chicago Press.
Ward, J. H. (1963). Hierarchical grouping to optimize an objective function. Journal of the American Statistical Association, 58(301), 236–244. https://doi.org/10.1080/01621459.1963.10500845