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.
| Original language | English |
|---|---|
| Title of host publication | INDRUM 2018 |
| Number of pages | 10 |
| Publication status | Published - 27 Oct 2018 |
| Event | INDRUM2018: Second conference of the International Network for Didactic Research in University Mathematics - University of Agder, Kristiansand, Norway Duration: 5 Apr 2018 → 7 Apr 2018 Conference number: 2 https://indrum2018.sciencesconf.org/ |
Conference
| Conference | INDRUM2018 |
|---|---|
| Country/Territory | Norway |
| City | Kristiansand |
| Period | 5/04/18 → 7/04/18 |
| Internet address |
Keywords
- Teaching and learning of linear and abstract algebra
- Teachers’ and students’ practices at university level
- Linear span
- Task-design