id: 02364748
dt: j
an: 2005d.01749
au: Knuth, Eric J.
ti: Student understanding of the Cartesian connection: An exploratory study.
so: J. Res. Math. Educ. 31, No. 4, 500-507 (2000).
py: 2000
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: I23 D63
ut: functions; connections in mathematics; representations; lower secondary
ci:
li: doi:10.2307/749655
ab: The topic of multiple representations of functions is important in
secondary school mathematics curricula, yet many students leave high
school lacking an understanding of the connections among these
representations. Research results are presented from a study in which
studentsâ€™ understandings of the connections between algebraic and
graphical representations of functions were examined. Responses from
178 students, enrolled in 1st-year algebra through calculus, revealed
an overwhelming reliance on algebraic representations, even on tasks
for which a graphical representation seemed more appropriate. The
findings indicate that for familiar routine problems many students have
mastered the connections between the algebraic and graphical
representations; however, such mastery appeared to be superficial at
best.
rv: