walk through 3-D manifold elaboration “Triangulating the figure 8 knot complement ” https://www.youtube.com/watch?v=k6QNuuK9Ae4

3-D printed solid http://www.shapeways.com/product/C27TWPDU2/figure-8-knot-complement

]]>BTW, I believe Thurston did do such a course in Minneapolis (and posted it online).

As far as critical feedback:

– I think the “ant” metaphor is worn out

– There are too many topics

– More applications to real life make it more interesting for students.

Also the more they can draw (crayons for example — http://webcache.googleusercontent.com/search?q=cache:7JU_5Sz4E1MJ:jdh.hamkins.org/math-for-seven-year-olds-graph-coloring-chromatic-numbers-eulerian-paths/+&cd=1&hl=en&ct=clnk&gl=us )

or draw on a computer (https://gist.github.com/isomorphisms/5a30e61fb305ee52bcff)

In general think mathematicians remove themselves from the story, whereas an English teacher will be more personal. We know which subject is more popular; I think a personal touch of why it moves you, why you find it interesting, and even more reaching out to whoever is participating and how they came to like it.

]]>Thank you, Lisa ]]>