Developing Virtual Reality-Mediated Representational Tools for
Supporting and Enhancing Deep Mathematical Understanding
of Linear Algebra Relationships
(DUE 2315756)
Ferdie Rivera, Plamen Koev, Dan Brinkman, and Yingjie Liu
See introductory video of our VR LA modules.
Our overall project goal is to understand how to better support students successfully transition from practical to theoretical thinking about linear algebra concepts and relationships in a virtual reality (VR)-mediated learning environment. (Or, explore how VR can support embodied, embedded, enactive, and extended abstraction and deep understanding of Linear Algebra.)
Our proposed VR representational tools capitalize on and embrace the strengths of this practical thinking about linear algebra in order to support an emerging learning progression that explicitly links the practical approach with deep theoretical knowledge and understanding.
In this project, we address the following two research questions (RQs):
(RQ 1) To what extent does a visual-geometric and action-oriented VR-mediated intervention support and enhance a deep theoretical understanding of linear algebra concepts?
(RQ 2) What is the nature of student reasoning elicited in a VR-mediated environment for learning linear algebra?
Embodied, Embedded, Enactive, and Extended Abstraction in Mathematics
