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)

• Autores: Arias Balarezo, Ana Lucía, Lima Yarpaz, Jhon, Muela Pillajo, Jimmy
• Formato: artículo
• Fecha de Publicación: 2021
• Institución: Universidad Nacional de Huancavelica
• Repositorio: UNH-Revistas
• Lenguaje: español
• OAI Identifier: oai:revistas.unh.edu.pe:article/43
• Enlace del recurso: https://revistas.unh.edu.pe/index.php/quintaesencia/article/view/43
• Nivel de acceso: acceso abierto
• Materia: Teoría APOE; límite de una sucesión; fractales; APOS theory; limit of a sequence; fractals

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.