Evoked Concept Images of the concept of Continuity of a Function

The study described in this paper has the aim of presenting an analysis of Evoked Concept Images of college students about the concept of continuity of a function. A diagnostic study was developed with fifteen students in a mathematics course at a public university located in Belém (Pará). The stude...

ver descrição completa

Detalhes bibliográficos
Autores: Messias, Maria Alice de Vasconcelos Feio, Brandemberg, João Cláudio
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:Brasil
Recursos:Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT)
Repositorio:Revista Prática Docente
Idioma:portugués
OAI Identifier:oai:ojs2.periodicos.cfs.ifmt.edu.br:article/1012
Acesso em linha:https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/1012
Access Level:acceso abierto
Palavra-chave:Imagem Conceitual
Definição Conceitual
Continuidade de uma Função
Concept Image
Concept Definition
Continuity of a Function
Imagen Conceptual
Definición Conceptual
Continuidad de una función
Descrição
Resumo:The study described in this paper has the aim of presenting an analysis of Evoked Concept Images of college students about the concept of continuity of a function. A diagnostic study was developed with fifteen students in a mathematics course at a public university located in Belém (Pará). The students answered a group of tasks involving the concept of continuity of a function; Their answers were analyzed according to the assumptions of the Theory of Concept Image and Concept Definition (Vinner, 1991). It was verified that the concept image of the investigated students was based on the comprehension of continuity as connectivity, wholeness, fluidity, absence of jumps and/or holes in their graphic representations. Most students experienced cognitive conflict when attempting to understand the relationship between domain, limit, and continuity.