Significado de derivada en las tareas de los libros de 1° de Bachillerato
Fecha
2020-12
Tipo
artículo original
Autores
Vargas González, María Fernanda
Fernández Plaza, José Antonio
Ruiz Hidalgo, Juan Francisco
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Título del volumen
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Resumen
Dada la importancia de los libros de texto dentro del proceso de enseñanza y aprendizaje de la matemática, este artículo se centra en las tareas propuestas en cinco libros de texto de 1º de Bachillerato para este tema. El objetivo es identificar los significados de derivada que ponen de manifiesto los libros de texto escolares a través de las tareas que proponen. Se trata de una investigación cuantitativa en la que mediante un análisis clúster se agruparon las tareas según similitud. Los resultados muestran que los libros destacan tres significados de la derivada: uno procedimental-algebraico, un segundo algorítmico y otro conceptual-geométrico; dominados por el sistema de representación simbólico y que manifiestan un sentido de aplicación exclusivamente matemático.
Due to the importance of textbooks within the processes of teaching and learning in Mathematics, this article focuses on the tasks proposed in five textbooks of 1st of Bachillerato for this topic. The goal is to identify meanings of derivative in the textbooks through the proposed tasks. It is a quantitative research in which, by means of a cluster analysis, the tasks were grouped according to similarity. The results show that the books emphasize three meanings of the derivative: one procedural-algebraic, one algorithmic, and finally another conceptual-geometric meaning, all of them dominated by the symbolic representation system and that exclusively show a mathematical context.
Due to the importance of textbooks within the processes of teaching and learning in Mathematics, this article focuses on the tasks proposed in five textbooks of 1st of Bachillerato for this topic. The goal is to identify meanings of derivative in the textbooks through the proposed tasks. It is a quantitative research in which, by means of a cluster analysis, the tasks were grouped according to similarity. The results show that the books emphasize three meanings of the derivative: one procedural-algebraic, one algorithmic, and finally another conceptual-geometric meaning, all of them dominated by the symbolic representation system and that exclusively show a mathematical context.
Descripción
Palabras clave
Análisis de tareas, LIBRO DE TEXTO, MATEMÁTICAS, Análisis clúster, Significado de un contenido matemático escolar, JOB DESCRIPTION, TEXTBOOKS, MATHEMATICS, CLUSTER ANALYSIS, Meaning of school mathematics content