id: 06145595
dt: j
an: 2013b.00866
au: Kaplan, Jennifer J.; Otten, Samuel
ti: Optimization: old dogs and new tasks.
so: Math. Teach. (Reston) 105, No. 9, 686-691 (2012).
py: 2012
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: N64 I44
ut: optimization; calculus; discussion; mathematics; equations; problem solving
ci:
li: doi:10.5951/mathteacher.105.9.0686
http://www.nctm.org/publications/article.aspx?id=32960
ab: Summary: This article introduces an optimization task with a ready-made
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’ problem-solving behavior. In addition, a careful
consideration of the groups’ work suggests an order for orchestrating
a follow-up 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)
rv: