6533b85cfe1ef96bd12bc67d

RESEARCH PRODUCT

Tasks for enriching the understanding of the concept of linear span

Evi PapadakiChristos Kourouniotis

subject

Teachers' and students' practices at university level[SHS.EDU]Humanities and Social Sciences/Education[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]design[SHS.EDU] Humanities and Social Sciences/Education[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]ComputingMilieux_COMPUTERSANDEDUCATIONTeaching and learning of linear and abstract algebraTaskLinear span

description

International audience; The concept of linear span is one of the first abstract notions that students encounter in a course on Linear Algebra. Using the theoretical construct of concept image and concept definition (Tall & Vinner, 1981) along with observations about teaching and learning Linear Algebra, we present two tasks designed to enrich students' concept image regarding linear span. These tasks could be included in a problem workshop of an introductory university course on Linear Algebra. Each task is carefully created and/or selected so as to foster the ground for potential conflict factors to arise and be confronted. A preliminary evaluation shows that the tasks are well received by students and succeed in addressing certain conflicting factors.

yearjournalcountryeditionlanguage
2018-04-05
https://hal.archives-ouvertes.fr/hal-01849948