
05945686
j
2011e.00244
Sofronas, Kimberly S.
DeFranco, Thomas C.
Vinsonhaler, Charles
Gorgievski, Nicholas
Schroeder, Larissa
Hamelin, Chris
What does it mean for a student to understand the firstyear calculus? perspectives of 24 experts.
J. Math. Behav. 30, No. 2, 131148 (2011).
2011
Elsevier, New York, NY
EN
C35
D65
D75
calculus
understanding
comprehension
mathematical concepts
introductory courses
concept formation
mathematics skills
goals of mathematics education
misconceptions
cognitive difficulties
doi:10.1016/j.jmathb.2011.02.001
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 firstyear calculus. A framework emerged that includes four overarching end goals for understanding of the firstyear calculus: (a) mastery of the fundamental concepts andor skills of the firstyear calculus, (b) construction of connections and relationships between and among concepts and skills, (c) the ability to use the ideas of the firstyear 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)