id: 06388192
dt: j
an: 2015a.00625
au: Moore, Kevin C.; Paoletti, Teo; Musgrave, Stacy
ti: Complexities in students’ construction of the polar coordinate system.
so: J. Math. Behav. 36, 135-149 (2014).
py: 2014
pu: Elsevier, New York, NY
la: EN
cc: G79 C39
ut: polar coordinates; coordinate systems; pre-service secondary teachers;
teaching experiment; quantitative reasoning
ci:
li: doi:10.1016/j.jmathb.2014.10.001
ab: Summary: Despite the importance of the polar coordinate system (PCS) to
students’ study of mathematics and science, there is a limited body
of research that explores students’ ways of thinking about the PCS.
Research on students’ construction of the PCS is especially sparse.
In this article, we highlight several issues that arose spontaneously
during a teaching experiment that explored students’ construction of
the PCS. We illustrate how students’ angle measure meanings
influenced their construction of the PCS. We also discuss how the
students’ ways of thinking about the Cartesian coordinate system
(CCS) became problematic as they transitioned to the PCS. Collectively,
we highlight that students’ ways of thinking about coordinate systems
evolve when students reason within and across multiple coordinate
systems.
rv: