Hi all,
I'm a high school math teacher, and I use a cube whenever possible in discussing mathematics with my students. Last week I allowed some students to scramble my cube for me to solve, and came across a curious problem. There is one corner oriented wrong on my cube. It's not a matter that it just needs to be turned once or twice; it's backward. That is to say, going clockwise around it, this piece should be blue/orange/yellow, and instead it's blue/yellow/orange. The rest of the cube is correctly completed.
Obviously, I can't just pop the piece off and put it in correctly. So my questions are:
(1) What did my students do to my cube?
(2) What can I do to fix it?
(3) What should I do to the students who commit such a crime against mathematics?
Thanks for your help!
I'm a high school math teacher, and I use a cube whenever possible in discussing mathematics with my students. Last week I allowed some students to scramble my cube for me to solve, and came across a curious problem. There is one corner oriented wrong on my cube. It's not a matter that it just needs to be turned once or twice; it's backward. That is to say, going clockwise around it, this piece should be blue/orange/yellow, and instead it's blue/yellow/orange. The rest of the cube is correctly completed.
Obviously, I can't just pop the piece off and put it in correctly. So my questions are:
(1) What did my students do to my cube?
(2) What can I do to fix it?
(3) What should I do to the students who commit such a crime against mathematics?
Thanks for your help!