Tasks for enriching the understanding of the concept of linear span

Evi Papadaki, Christos Kourouniotis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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 publicationINDRUM 2018
Number of pages10
Publication statusPublished - 27 Oct 2018
EventINDRUM2018: Second conference of the International Network for Didactic Research in University Mathematics - University of Agder, Kristiansand, Norway
Duration: 5 Apr 20187 Apr 2018
Conference number: 2


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  • Teaching and learning of linear and abstract algebra
  • Teachers’ and students’ practices at university level
  • Linear span
  • Task-design

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