id: 06464618
dt: j
an: 2015e.00749
au: Ratliff, Kevin; Garofalo, Joe
ti: Examining studentsâ€™ conceptions using sum functions.
so: AMATYC Rev. 28, No. 1, 45-56 (2006).
py: 2006
pu: ,
la: EN
cc: I25 D75 C35
ut: functions; concept formation; misconceptions; problem solving strategies;
research; understanding; sum functions; college teaching
ci:
li:
ab: Summary: Studentsâ€™ understanding of functions is a topic that has been
researched extensively. In this qualitative study, five university
students of varying mathematical backgrounds were interviewed to reveal
strategies and misconceptions as they struggled with graphical and
analytical tasks relating to sum functions. Weaker students are seen to
rely heavily on algebraic approaches to solving problems and to have a
strong urge to average graphically. Selection of an appropriate scale
is problematic, as is the confusion of slope and height. Understanding
functions as objects emerges as beneficial for the stronger students
while function as process seems preeminent for the weaker ones.
Implications for teaching are presented.
rv: