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Title: Structuring and Connecting 2D and 3D Space Using Linear Combinations
Developing a rich understanding of linear combinations is key to understanding linear algebra. In this paper, I explore the rich connections students make between the geometric and numeric representations of linear combinations through playing and analyzing a video game. I look at population of students who have never taken linear algebra before and analyze how they structure space using the video game, Vector Unknown, as a realistic starting point. I detail and analyze this activity including the activities that transition them from 2D to 3D space.  more » « less
Award ID(s):
1712524
PAR ID:
10463013
Author(s) / Creator(s):
Editor(s):
Cook, Samuel; Katz, Brian; Moore-Russo, Deborah
Date Published:
Journal Name:
Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education
ISSN:
2474-9346
Page Range / eLocation ID:
412 - 419
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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