Conexiones matemáticas y concepciones alternativas asociadas a la derivada y a la integral en estudiantes del preuniversitario

This paper answers three research questions: (1) What mathematical connections do preuniversity students make when they solve tasks (algebraic, graphical and application problems) of Calculus that involve the derivative and the integral?, (2) What is the relationship between those mathematical conne...

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Detalhes bibliográficos
Autor: García García, Javier
Formato: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2018
País:México
Recursos:Universidad Autónoma de Guerrero
Repositorio:Repositorio Institucional de Ciencia Abierta de la Universidad Autónoma de Guerrero
Idioma:español
OAI Identifier:oai:ri.uagro.mx:uagro/981
Acesso em linha:http://ri.uagro.mx/handle/uagro/981
Access Level:acceso abierto
Palavra-chave:HUMANIDADES Y CIENCIAS DE LA CONDUCTA::PEDAGOGÍA::OTRAS ESPECIALIDADES PEDAGÓGICAS::OTRAS
Descrição
Resumo:This paper answers three research questions: (1) What mathematical connections do preuniversity students make when they solve tasks (algebraic, graphical and application problems) of Calculus that involve the derivative and the integral?, (2) What is the relationship between those mathematical connections that pre-university students make and how they contribute to mathematical understanding of the Fundamental Theorem of Calculus?, and (3) What alternative conceptions appear when pre-university students solve tasks (algebraic, graphical and application problems) of Calculus that involve the derivative and the integral?