Is it a subspace or not? Making sense of subspaces of vector spaces in a technology-assisted learning environment

The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of subspaces of vector spaces in a series of in-depth qualitative interviews in a technology-assisted learning environment. Fourteen mathematics majors came up with a diversity of innovative and creative ways in which they coordinated visual and analytic approaches in the exploration of subspaces of a number of vector...