id: 06675846
dt: a
an:
au: Stewart, Sepideh
ti: School algebra to linear algebra: advancing through the worlds of
mathematical thinking.
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). 219-233 (2017).
py: 2017
pu: Cham: Springer
la: EN
cc: H60 C30
ut: advanced mathematical thinking; linear algebra; three worlds of
mathematical thinking; algebra; APOS
ci:
li: doi:10.1007/978-3-319-45053-7_12
ab: Summary: Linear algebra is a core subject for mathematics students and is
required for many STEM majors. Research reveals that many students
struggle grasping the more theoretical aspects of linear algebra which
are unavoidable features of the course. Working with vectors and
understanding new concepts through definitions, theorems, and proofs
all indicate that a sudden shift has occurred, and despite carrying the
name “algebra,” in many respects linear algebra is significantly
more complex than school algebra. In this chapter we will employ the
Framework of Advanced Mathematical Thinking (FAMT) to describe the type
of thinking that is required for linear algebra students to succeed at
college level.
rv: