Study Guide for Chapter 9
Terry Tao’s post: There’s more to mathematics than rigour and proofs
Leone Burton’s article: Why is Intuition so Important to Mathematics but Missing from Mathematics Education? ($)
A lovely video of Thurston, showing how he used his imagination, manipulatives, and diagrams to visualize mathematics. “From Knots to Narnia.”
Deborah Ball’s must-read article about manipulatives: Magical Hopes: Manipulatives and the Reform of Math Education, courtesy of American Educator: The Professional Journal of the American Federation of Teachers, v16 n2 p14-18,46-47 Sum 1992.
Figure 9.6: The Estimation Cycle
Joe Schwartz‘s blogposts about Estimation 180:
- Our First Real 3-Act about mileage
- That’s Gold, Jerry! Gold!!
- Building Number Sense
- Boogers and Bloody Noses