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

Antonio González ^[1] ; Víctor Manero ^[2] ; Alberto Arnal-Bailera ^[2] ; María Luz Puertas ^[3]
1. [1] Universidad de Sevilla
  
  Universidad de Sevilla
  
  Sevilla, España
2. [2] Universidad de Zaragoza
  
  Universidad de Zaragoza
  
  Zaragoza, España
3. [3] Universidad de Almería
  
  Universidad de Almería
  
  Almería, España
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Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 55, Nº. 8, 2024, págs. 1938-1956
Idioma: inglés
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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 from the perspective of the Van Hiele model.