
06581374
j
2016c.00804
Bagley, Spencer
Rabin, Jeffrey M.
Students' use of computational thinking in linear algebra.
Int. J. Res. Undergrad. Math. Educ. 2, No. 1, 83104 (2016).
2016
Springer US, New York, NY
EN
H65
C35
D55
justification
linear algebra
problem solving
procedural understanding
conceptual understanding
ME 2016a.00720
ME 2016a.00721
doi:10.1007/s407530150022x
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. 191207 (2000; ME 2016a.00720)] and {\it A. Sierpinska} [in: On the teaching of linear algebra. Dordrecht: Kluwer Academic Publishers. 209246 (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.