Colorado State University   Mathematical

An Inquiry-Oriented Approach to the Teaching and Learning of Linear Algebra

By  Megan Wawro
From  Department of Mathematics
Virginia Tech
When  Friday, December 12, 2014
10:00 am
Where  Weber 223

The purpose of this talk is to provide an overview of my research program investigating the teaching and learning of introductory linear algebra, which is grounded in a classroom-based design research framework. The goals of my current project include producing curricular materials for linear algebra that promote a student-centered, inquiry-oriented approach to the teaching and learning of introductory linear algebra. Based on the instructional design theory of Realistic Mathematics Education, the curricular materials consist of a set of experientially real tasks that allow for active student engagement in the guided reinvention of key mathematical ideas and that leverage students' intuitive knowledge towards the development of more formal ways of reasoning about those mathematical ideas. It also develops instructional support materials that convey the instructional designers' intention without being overly prescriptive and that provide information about how students think and learn within the task sequences. I will illustrate this research by highlighting some results regarding student understanding of span and linear independence and the associated task sequence.