id: 05948942
dt: j
an: 2011f.00515
au: Faulkenberry, Eileen Durand; Faulkenberry, Thomas J.
ti: Transforming the way we teach function transformations.
so: Math. Teach. (Reston) 104, No. 1, 29-33 (2010).
py: 2010
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: G53 G54 D43 D44
ut: transformations; transformation geometry; graphs; teaching methods;
visualization
ci:
li: http://www.nctm.org/eresources/article_summary.asp?URI=MT2010-08-29a&from=B
ab: Summary: In this article, the authors discuss “function,” a
well-defined rule that relates inputs to outputs. They have found that
by using the input-output definition of “function,” they can
examine transformations of functions simply by looking at changes to
input or output and the respective changes to the graph. Applying
transformations to the input and output values and examining the
resulting graphs helps students build a better understanding of
functions. Most important, this technique allows students to keep their
intuitive notions of number and operations without having to memorize
counterintuitive procedures. (Contains 8 figures and 1 table.) (ERIC)
rv: