Tasks for enriching the understanding of the concept of linear span

Papadaki, Evi ORCID: https://orcid.org/0000-0002-6775-8647 and Kourouniotis, Christos (2018) Tasks for enriching the understanding of the concept of linear span. In: INDRUM 2018. UNSPECIFIED, NOR.

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Abstract

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.

Item Type: Book Section
Uncontrolled Keywords: teaching and learning of linear and abstract algebra,teachers’ and students’ practices at university level,linear span,task-design
Faculty \ School: Faculty of Social Sciences > School of Education and Lifelong Learning
UEA Research Groups: Faculty of Social Sciences > Research Groups > Research in Mathematics Education
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Depositing User: LivePure Connector
Date Deposited: 24 Sep 2020 00:16
Last Modified: 29 Dec 2023 03:01
URI: https://ueaeprints.uea.ac.uk/id/eprint/77006
DOI:

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