id: 05945686
dt: j
an: 2011e.00244
au: Sofronas, Kimberly S.; DeFranco, Thomas C.; Vinsonhaler, Charles;
Gorgievski, Nicholas; Schroeder, Larissa; Hamelin, Chris
ti: What does it mean for a student to understand the first-year calculus?
perspectives of 24 experts.
so: J. Math. Behav. 30, No. 2, 131-148 (2011).
py: 2011
pu: Elsevier, New York, NY
la: EN
cc: C35 D65 D75
ut: calculus; understanding; comprehension; mathematical concepts; introductory
courses; concept formation; mathematics skills; goals of mathematics
education; misconceptions; cognitive difficulties
ci:
li: doi:10.1016/j.jmathb.2011.02.001
ab: Summary: This article presents the views of 24 nationally recognized
authorities in the field of mathematics, and in particular the
calculus, on student understanding of the first-year calculus. A
framework emerged that includes four overarching end goals for
understanding of the first-year calculus: (a) mastery of the
fundamental concepts and-or skills of the first-year calculus, (b)
construction of connections and relationships between and among
concepts and skills, (c) the ability to use the ideas of the first-year
calculus, and (d) a deep sense of the context and purpose of the
calculus. Each end goal for student understanding is explored in detail
and the potential for using the framework as an organizational tool is
discussed. (ERIC)
rv: