Tasks for enriching the understanding of the concept of linear span

Evi Papadaki, Christos Kourouniotis

    Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding


    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.
    Original languageEnglish
    Title of host publicationProceedings of the Second Conference of the International Network for Didactic Research in University Mathematics
    Publication statusPublished - 31 Dec 2018


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