id: 06675845
dt: a
an:
au: Hannah, John
ti: Why does linear algebra have to be so abstract?
so: Stewart, Sepideh (ed.), And the rest is just algebra. Cham: Springer (ISBN
978-3-319-45052-0/hbk; 978-3-319-45053-7/ebook). 205-217 (2017).
py: 2017
pu: Cham: Springer
la: EN
cc: H60
ut: vector; linear independence; computer-based experiments; concreteness;
generalizability; necessity; need for proof
ci:
li: doi:10.1007/978-3-319-45053-7_11
ab: 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
stand-alone subject, deduced logically from a founding set of axioms,
maybe we could present it as a subject that evolves naturally from
studentsâ€™ 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.
rv: