Elementos para una Descomposición Genética de la recta tangente

[EN] The goal of this research is characterize high school student¿s construction of the meanings to tangent line concept. We report the generation of a Genetic Decomposition for the tangent line concept as a high school students¿ learning progression. We integrate information from three perspective...

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Detalles Bibliográficos
Autores: Orts Muñoz, Abilio, LLINARES CISCAR, SALVADOR, Boigues Planes, Francisco José|||0000-0002-0899-2310
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:español
OAI Identifier:oai:riunet.upv.es:10251/150053
Acceso en línea:https://riunet.upv.es/handle/10251/150053
Access Level:acceso abierto
Palabra clave:Progresión en el aprendizaje
Comprensión matemática
Recta tangente
Descomposición Genética
Trayectoria de aprendizaje
MATEMATICA APLICADA
Descripción
Sumario:[EN] The goal of this research is characterize high school student¿s construction of the meanings to tangent line concept. We report the generation of a Genetic Decomposition for the tangent line concept as a high school students¿ learning progression. We integrate information from three perspectives: epistemological, curricular, and cognitive. Learning progression is articulated through two characteristics: (i) the integration of local analytical and geometrical perspectives, and (ii) the coordination of Leibnizian conception and the Cartesian conception as a mean to overcome the obstacles derived from the Euclidean conception. Finally, we situated our findings into the debate about the different ways to understand the ¿learning trajectories¿ and ¿learning progressions¿ constructs in mathematics education