I learned more about the four dimensions of knowledge in this chapter : Declarative, Procedural, Schematic and Strategic. On page 224, the work of Shavelson, Ruiz-Primo, Li, and Ayalas (2003) with these four dimensions helped me to think more strategically when planning, organizing, critiquing and abstracting specific content, student needs and classroom situations within the TPCK framework.
I envision the creation of a math toolbox for Physics students. Math is an area where many students struggle in physics. Having a resource using the dimensions of knowledge as an organizing schema would be helpful for students to know how (procedural) to use what (declarative) math concepts when (strategic) and why (schematic) they are using them.
The discussion about preparing tomorrow's teachers to rethink, unlearn and relearn, change, revise and adapt reminded me of discussions in Daniel Pink's book A Whole New Mind that recognize the fostering and use of "right-brained" qualities like inventiveness, empathy, meaning in future.
And as a person who values good educational quotes, (get a daily one at http://www.lightafire.net/) I found this chapter's quotes excellent - real t-shirt material!
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