id: 06145588
dt: j
an: 2013b.00594
au: Reiter, Harold; Holshouser, Arthur; Vennebush, Patrick
ti: Don’t fence me in!
so: Math. Teach. (Reston) 105, No. 8, 594-599 (2012).
py: 2012
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: G40 C30
ut: geometric concepts; plane geometry; secondary school mathematics;
mathematics activities; teaching methods; manipulative materials;
problem solving; computation
ci:
li: doi:10.5951/mathteacher.105.8.0594
http://www.nctm.org/publications/article.aspx?id=32490
ab: Summary: Getting students to think about the relationships between area and
perimeter beyond the formulas for these measurements is never easy. An
interesting, nonroutine, and accessible problem that will stimulate
such thoughts is the lattice octagon problem. A “lattice polygon" is
a polygon whose vertices are points of a regularly spaced array.
Therefore, a “rectangular lattice octagon" is a lattice polygon in
which each of the eight sides is perpendicular to its adjacent sides.
This article provides a framework for solving this maximization problem
and other problems that involve lattice polygons. In addition, it
suggests ways to use this problem in the classroom and offers related
problems that students can investigate. (ERIC)
rv: