The Theory of Didactic Situations as a Methodology for Teaching Mathematical Modeling

 

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Detalles Bibliográficos
Autores: Sacaquirín, Mateo, Trelles Zambrano, César
Formato: artículo original
Estado:Versión publicada
Fecha de Publicación:2025
Descripción:[Objective] The main objective of this research was to measure the impact on academic performance of a teaching proposal for mathematical modeling of functions using Brousseau’s theory of didactic situations. [Methodology] A quantitative study with a pre-experimental design was conducted with a sample of 22 high school students belonging to the Remigio Crespo Toral Educational Unit (Ecuador). Previously, the participants followed a conventional study routine on the topics of function modeling. A pretest was then administered to evaluate the group’s academic performance. Subsequently, eight work sessions were conducted during which the didactic situations were implemented. Finally, a posttest was administered to evaluate the results after the intervention. [Results] The results of a descriptive analysis of the grades showed an 87% improvement in posttest scores, and the results of a student’s t-test analysis showed a significant difference between the pretest and posttest scores (p-value < 0.05). Furthermore, it was confirmed that the theory of didactic situations is compatible with the modeling cycle by strengthening various modeling competencies, such as the use of graphs and algebraic language. [Conclusions] It was shown that mathematical modelling using didactic situations significantly improved academic performance.
País:Portal de Revistas UNA
Institución:Universidad Nacional de Costa Rica
Repositorio:Portal de Revistas UNA
Lenguaje:Español
OAI Identifier:oai:www.revistas.una.ac.cr:article/20441
Acceso en línea:https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/20441
Palabra clave:Theory of Didactical Situations
Mathematical Modeling
Mathematics Education
Ecuadorian High School
Teoría de situaciones didácticas
modelización matemática
Educación Matemática
bachillerato ecuatoriano
Teoria das Situações Didáticas
Modelagem Matemática
Educação Matemática
Ensino Médio Equatoriano