id: 06619310
dt: j
an: 2016e.00777
au: López, Jonathan; Robles, Izraim; Martínez-Planell, Rafael
ti: Students’ understanding of quadratic equations.
so: Int. J. Math. Educ. Sci. Technol. 47, No. 4, 552-572 (2016).
py: 2016
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: H35 I25 C35 D75
ut: quadratic equations; APOS theory; genetic decomposition
ci:
li: doi:10.1080/0020739X.2015.1119895
ab: Summary: Action-Process-Object-Schema theory (APOS) was applied to study
student understanding of quadratic equations in one variable. This
required proposing a detailed conjecture (called a genetic
decomposition) of mental constructions students may do to understand
quadratic equations. The genetic decomposition which was proposed can
contribute to help students achieve an understanding of quadratic
equations with improved interrelation of ideas and more flexible
application of solution methods. Semi-structured interviews with eight
beginning undergraduate students explored which of the mental
constructions conjectured in the genetic decomposition students could
do, and which they had difficulty doing. Two of the mental
constructions that form part of the genetic decomposition are
highlighted and corresponding further data were obtained from the
written work of 121 undergraduate science and engineering students
taking a multivariable calculus course. The results suggest the
importance of explicitly considering these two highlighted mental
constructions.
rv: