Challenges and Strategies in Teaching Linear Algebra by Sepideh Stewart Christine Andrews-Larson Avi Berman & Michelle Zandieh

Author:Sepideh Stewart, Christine Andrews-Larson, Avi Berman & Michelle Zandieh
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

3 Discussing Task 3 and Results from Students’ Solutions

As stated in the introduction the overall learning goal for Task 3, which is composed of three problems, is for students to explore the relationships involved in the equation and to develop intuitive notions of eigenvalue and eigenvector. As with earlier tasks, we cast the problems in this task geometrically, in terms of stretch factors and stretch directions, but we ask students to provide numeric solutions, giving students the impetus to create and manipulate symbolic expressions to find those numeric solutions. The three problems are ordered in increasing level of difficulty. Having already asked students (in Task 1) to find a matrix given stretch factors and stretch directions, we now recast this by switching which information is given and which is requested, as follows:P1.The matrix and the stretch directions are given and students are asked to find the stretch factors.

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