
06675845
a
Hannah, John
Why does linear algebra have to be so abstract?
Stewart, Sepideh (ed.), And the rest is just algebra. Cham: Springer (ISBN 9783319450520/hbk; 9783319450537/ebook). 205217 (2017).
2017
Cham: Springer
EN
H60
vector
linear independence
computerbased experiments
concreteness
generalizability
necessity
need for proof
doi:10.1007/9783319450537_11
Summary: Research has shown that students struggle with the abstraction of linear algebra and many remedies have been tried. Here I offer another idea to add to your arsenal. Instead of presenting linear algebra as a standalone subject, deduced logically from a founding set of axioms, maybe we could present it as a subject that evolves naturally from students' experiences, either from prior contact with vectors in a physics course, or else from discussions and experiments designed to provoke a need to abstract, to generalize, to define and to prove.