
02364748
j
2005d.01749
Knuth, Eric J.
Student understanding of the Cartesian connection: An exploratory study.
J. Res. Math. Educ. 31, No. 4, 500507 (2000).
2000
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
I23
D63
functions
connections in mathematics
representations
lower secondary
doi:10.2307/749655
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 students' understandings of the connections between algebraic and graphical representations of functions were examined. Responses from 178 students, enrolled in 1styear 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.