Los fractales en la enseñanza-aprendizaje de la concepción dinámica del concepto de límite de una sucesión: una propuesta didáctica para estudiantes de Bachillerato General Unificado (BGU)

The objective of the present research was to design didactic tasks for the teaching-learning of the dynamic conception of the concept of limit of a sequence for students of Bachillerato General Unificado (BGU) through the use of fractals. The research is based on the Piagetian construct called Genet...

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Detalles Bibliográficos
Autores: Arias Balarezo, Ana Lucía, Lima Yarpaz, Jhon, Muela Pillajo, Jimmy
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Perú
Institución:Universidad Nacional de Huancavelica
Repositorio:Quintaesencia
Idioma:español
OAI Identifier:oai:revistas.unh.edu.pe:article/43
Acceso en línea:https://revistas.unh.edu.pe/index.php/quintaesencia/article/view/43
Access Level:acceso abierto
Palabra clave:Teoría APOE
límite de una sucesión
fractales
APOS theory
limit of a sequence
fractals
Descripción
Sumario:The objective of the present research was to design didactic tasks for the teaching-learning of the dynamic conception of the concept of limit of a sequence for students of Bachillerato General Unificado (BGU) through the use of fractals. The research is based on the Piagetian construct called Genetic Decomposition (GD) and on the Action-Process-Object-Object-Scheme (APOE) theory; it also considers the difficulties associated with the teaching and learning process of the concept of limit, as well as the numerical and symbolic representation systems. It has a qualitative approach, a descriptive level of depth. The final product of this work was a set of tasks framed in the constructs and mechanism of APOE theory that allow BGU students to deduce in terms of the limit of a sequence the dimensions of fractals such as the Set of Cantor, Koch's Snowflake, Carpet and Sierpinski's Triangle.