id: 05615062
dt: j
an: 2009f.00535
au: Kondratieva, Margo F.; Radu, Oana G.
ti: Fostering connections between the verbal, algebraic, and geometric
representations of basic planar curves for student’s success in the
study of mathematics.
so: Mont. Math. Enthus. 6, No. 1-2, 213-238 (2009).
py: 2009
pu: Information Age Publishing (IAP), Charlotte, NC; Department of Mathematical
Sciences, The University of Montana, Missoula, MT
la: EN
cc: I24 I25 C34 C35 E44 E45 C74 C75
ut: line; circle; semicircle; parabola; hyperbola; ellipse; planar curve;
graphical image; prototype; algebraic formula; algebraic
transformation; mathematical definitions; modes of representation;
concept formation
ci:
li:
ab: Summary: We discuss the significance of making connections between the
verbal, algebraic, and geometric representations of basic mathematical
objects for students’ understanding of mathematical instructions. Our
survey of 499 students enrolled in a pre-calculus university course
reveals that such connections are not always present, even if the
objects themselves are familiar to the students. We stress that the
ability of making these connections needs to be specifically addressed
in teaching mathematics at various levels. A proper attention to the
matter contributes to the formation of students’ mathematical
background, which makes a difference for their success in study of
calculus, in particular.
rv: