Proof levels of graph theory students under the lens of the Van Hiele model

This work is devoted to exploring proof abilities in Graph Theory of undergraduate students of the Degree in Computer Engineering and Technology of the University of Seville. To do this, we have designed a questionnaire consisting of five open-ended items that serve as instrument to collect data con...

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Detalhes bibliográficos
Autores: González Herrera, Antonio, Manero, Víctor, Arnal-Bailera, Alberto, Puertas, María Luz
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/146491
Acesso em linha:https://hdl.handle.net/11441/146491
https://doi.org/10.1080/0020739X.2022.2113467
Access Level:acceso abierto
Palavra-chave:Levels of reasoning
Proof
Graph theory
Van Hiele model
Descrição
Resumo:This work is devoted to exploring proof abilities in Graph Theory of undergraduate students of the Degree in Computer Engineering and Technology of the University of Seville. To do this, we have designed a questionnaire consisting of five open-ended items that serve as instrument to collect data concerning their proof skills when dealing with graphs. We have thus analysed them adapting the methodology for computing the degrees of acquisition of the Van Hiele levels. Our analysis leads to different proof profiles of Graph Theory students whose characteristics provide empirical support to consider proof levels in Graph Theory from the perspective of the Van Hiele model.