Charles Kwan (
Fri, 30 Aug 1996 00:48:11 -0700

Dear Elaine,

My project(s) will be mostly involved with puzzles. These puzzles

require very simple reasoning and straight forward arithmetic. Students

should be able to find these activities exciting and meaningful. It is

to be hoped that students will be looking at “Geometry” from a different

perspective after they try these puzzles out.

As of today, I am thinking about doing a 3 to 5 day lesson on

“routes”, “knots” and “topology”.

The first unit will be “routes”. This unit will incorporate some

activities such as “Salesman’s Round Trip”, “Get through the Mozmaze”,

“The Bickering Neighbors”, and “The Bridge of Konigsberg”.

(These activities can be found from “Math Puzzles & Games” by Michael

Holt--This book is on sale at Barnes & Noble for $5.98)

The second unit will be “knots”. This unit will incorporate various

useful hitches, ties, wraps, and knots(from “The Klutz Book of Knots” by

John Cassidy--can be found at the children's science section at Barnes &

Noble for $10.95, teacher gets 20% discount there, and “FM 21-76 US Army

Survival Manual” $8.98-Barnes & Noble).

The last unit will be “topology”. This unit will incorporate “Mobius

Band(Strip)”, “Double Mobius Band(Strip)”, “Klein’s Bottle”, “Torus” and

various tricks.(from “Math Puzzles” by Michael Holt and the handouts

from researcher, Chaim Goodman-Strauss and web pages at The Geometry


These are my tentative lesson plans. I’ll keep everyone posted on any

changes as semester goes on.