
06145595
j
2013b.00866
Kaplan, Jennifer J.
Otten, Samuel
Optimization: old dogs and new tasks.
Math. Teach. (Reston) 105, No. 9, 686691 (2012).
2012
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
N64
I44
optimization
calculus
discussion
mathematics
equations
problem solving
doi:10.5951/mathteacher.105.9.0686
http://www.nctm.org/publications/article.aspx?id=32960
Summary: This article introduces an optimization task with a readymade motivating question that may be paraphrased as follows: ``Are you smarter than a Welsh corgi?" The authors present the task along with descriptions of the ways in which two groups of students approached it. These group vignettes reveal as much about the nature of calculus students' problemsolving behavior. In addition, a careful consideration of the groups' work suggests an order for orchestrating a followup class discussion that builds on some of the groups' realizations and will make the learning goals more accessible to the entire class. Further, the authors suggest that such a problem might be used many years before calculus with students in algebra or prealgebra. (ERIC)