id: 06664329
dt: j
an: 2016f.01143
au: Steketee, Scott; Scher, Daniel
ti: Connecting functions in geometry and algebra.
so: Math. Teach. (Reston) 109, No. 6, 448-455 (2016).
py: 2016
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: I23 G43
ut: geometry; algebra; mathematical concepts; mathematical formulas; teaching
methods; transformations; educational practices; educational
strategies; functions
ci:
li: http://www.nctm.org/Publications/Mathematics-Teacher/2016/Vol109/Issue6/Connecting-Functions-in-Geometry-and-Algebra/
ab: Summary: One goal of a mathematics education is that students make
significant connections among different branches of mathematics.
Connections ‒ such as those between arithmetic and algebra, between
two-dimensional and three-dimensional geometry, between
compass-and-straight-edge constructions and transformations, and
between calculus and analytic geometry ‒ form the backbone of
important mathematical understandings. In this article, Steketee and
Scher describe a way of forging a strong connection between geometric
and algebraic functions, a connection that can deepen students’
concept of function and develop students’ appreciation for the
interconnectedness of geometry and algebra. If students have no
meaningful way to connect, for instance, dilations and translations in
the geometric realm with linear functions in the algebraic realm, the
connection between geometric and algebraic functions will be a bit of
trivia without real value. This article includes web-available
mathematics software tools and five activities, geometric functions
that provide students an alternative environment for engaging with
function concepts. The activities also reveal a connection between
geometry and algebra with the “same” function created by dilation
and translation in one realm and by multiplication and addition in the
other. (ERIC)
rv: