Student understanding of linear independence of functions - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

Student understanding of linear independence of functions

Résumé

We present findings regarding student understanding of linear independence of vector-valued functions, a concept common in linear algebra and differential equations. Data were collected from written homework questionnaires and a paired interview, prior to any formal instruction about the definition of linear independence of functions. Grounded theory was used to categorize student approaches, resulting in five main categories: Function Combination, Focus on t Values, Focus on Graphs, Focus on Scalars, and Previous Rule. Results suggest that students' transition from linear independence of vectors in Euclidean space to linear independence of functions in function space is not trivial and that fostering an object view of function may facilitate students more readily operating with functions as elements of a vector space.
Fichier principal
Vignette du fichier
CERME9.TWG14.49.posters.Wawro.pdf (171.01 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-01288684 , version 1 (15-03-2016)

Identifiants

  • HAL Id : hal-01288684 , version 1

Citer

Megan Wawro, David Plaxco. Student understanding of linear independence of functions. CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Charles University in Prague, Faculty of Education; ERME, Feb 2015, Prague, Czech Republic. pp.2297-2298. ⟨hal-01288684⟩
92 Consultations
204 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More