Earlier today I was a guest at one of our elementary after school math club meetings. The students ranged from 4-6th grade and included both identified gifted and not identified gifted students. We had fun exploring the Moibus strip (a loop with a single twist). Besides the usual of talking about where and why a moibus strip might be useful we:
1. traced a single line dividing the moibus strip horizontally in half, and discovering that it only has one side and one edge 2. cut the moibus strip along the drawn horizontal line, and discovering the single band, we also
3. explored what happened when we cut the moibus strip horizontally, but not in the middle (or half), 4. explored what happened when we glued two loops (not moibus strips) together at 90 degree angles and then cut them in half horizontally, 5. explored what would happen if the two loops were not glued together at 90 degree angles.
I am basing the success of the explorations on the fact that they all took adding machine paper home with them to explore some more or "fool" a parent.
Students this age also enjoy Hexaflexagons. I spend lots of money on adding machine tape.
Linda Coutts e-mail address: email@example.com Coordinator Elementary Mathematics Columbia Public Schools Voice: (314) 886-2233 1206 E. Walnut St FAX: (314) 886-2078 Columbia, MO 65201