id: 06581374
dt: j
an: 2016c.00804
au: Bagley, Spencer; Rabin, Jeffrey M.
ti: Students’ use of computational thinking in linear algebra.
so: Int. J. Res. Undergrad. Math. Educ. 2, No. 1, 83-104 (2016).
py: 2016
pu: Springer US, New York, NY
la: EN
cc: H65 C35 D55
ut: justification; linear algebra; problem solving; procedural understanding;
conceptual understanding
ci: ME 2016a.00720; ME 2016a.00721
li: doi:10.1007/s40753-015-0022-x
ab: Summary: In this work, we examine students’ ways of thinking when
presented with a novel linear algebra problem. Our intent was to
explore how students employ and coordinate three modes of thinking,
which we call computational, abstract, and geometric, following similar
frameworks proposed by {\it J. Hillel} [in: On the teaching of linear
algebra. Dordrecht: Kluwer Academic Publishers. 191‒207 (2000; ME
2016a.00720)] and {\it A. Sierpinska} [in: On the teaching of linear
algebra. Dordrecht: Kluwer Academic Publishers. 209‒246 (2000; ME
2016a.00721)]. However, the undergraduate honors linear algebra
students in our study used the computational mode of thinking in a
surprising variety of productive and reflective ways. This paper
examines the solution strategies that the students employed to solve
the problem, emphasizing their use of the computational mode of
thinking.
rv: