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

González, Antonio ; Manero, Víctor (Universidad de Zaragoza) ; Arnal-Bailera, Alberto (Universidad de Zaragoza) ; Puertas, María Luz

Resumen: 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 froThis 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.m the perspective of the Van Hiele model.

Idioma: Inglés

DOI: 10.1080/0020739X.2022.2113467

Año: 2024

Publicado en: International Journal of Mathematical Education in Science and Technology 55, 8 (2024), 1938-1956
ISSN: 0020-739X

Factor impacto CITESCORE: 2.6 - Mathematics (Q2) - Social Sciences (Q2)

Factor impacto SCIMAGO: 0.826 - Applied Mathematics (Q1) - Mathematics (miscellaneous) (Q1) - Education (Q1)

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2020-115652GB-I00
Financiación: info:eu-repo/grantAgreement/ES/DGA/S60-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-104964GB-I00

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Didáctica Matemática (Dpto. Matemáticas)