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An academic value-added mathematical model for higher education in Colombia
Un modelo matemático para el valor académico agregado: Caso de la educación superior en Colombia
DOI:
https://doi.org/10.15446/ing.investig.v33n2.39521Keywords:
Mathematical model, academic value added effectiveness, higher education, evaluation (en)Modelo Matemático, Valor académico agregado, educación superior, evaluación (es)
The concept of academic added-value can be associated with a variation in the cognitive development of students who complete an educational cycle at a given institution belonging to a reference universe, related to the tendency shown by all students in the aforementioned universe. Certain knowledge at the beginning and end of the cycle must be evaluated to estimate such variation. The pertinent literature states that learning is the result of students, teachers, and classmates' intellectual capacity, mainly within the family and an institution. This article proposes an academic value-added linear mathematical model representing a single student and sets of students in Colombia, grouped by institution, in terms of two vectors: learning outcome, regarding standardised national exams at the beginning and end of higher education programmes, and context, estimated as socioeconomic strata.
El concepto de valor académico agregado puede ser asociado con la variación en el desarrollo cognitivo de estudiantes que completaron un ciclo educativo en una institución perteneciente a un universo de referencia, con relación a la tendencia mostrada por todos los individuos del mencionado universo. Para estimar tal variación es necesario evaluar cierto conocimiento al comienzo y final del ciclo. La literatura existente dice que el conocimiento es el resultado de las capacidades intelectuales del estudiante, profesores y compañeros de clase, principalmente en el contexto familiar e institucional. Este trabajo propone un modelo matemático lineal que representa el valor académico agregado en Colombia para el nivel de un estudiante o de un grupo de estudiantes en una institución, en términos de dos vectores: los resultados de exámenes estandarizados a nivel nacional aplicados al comienzo y final de un programa de educación superior, y el contexto estimado como el estrato socioeconómico.
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Copyright (c) 2013 José Daniel Bogoya, Johan Manuel Bogoya Ramírez
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