id: 05645074
dt: j
an: 2009f.00532
au: Montiel, Mariana; Vidakovic, Draga; Kabael, Tangul
ti: Relationship between students\rq understanding of functions in Cartesian
and polar coordinate systems.
so: Investig. Math. Learn. 1, No. 2, 52-70 (2008).
py: 2008
pu: Research Council on Mathematics Learning (RCML), Memphis, TN; Taylor \&
Francis (Routledge), Philadelphia, PA
la: EN
cc: I20 C30
ut: research; function concept; student errors; modes of representation;
definitions; Cartesian coordinates; polar coordinates; learning;
transfer of training; knowledge
ci:
li:
ab: Summary: The present study was implemented as a prelude to a study on the
generalization of the single variable function concept to multivariate
calculus. In the present study we analyze students\rq mental processes
and adjustments, as they are being exposed to single variable calculus
with polar coordinates. The results show that there appears to be a
relation between students\rq definition of function and their success
(or lack of it) in transferring this definition to the polar
representation. This is seen, in particular, with the transference of
misconceptions.
rv: