A note on 3: It's not really a dichotomy between communication skills and content knowledge. Pedagogical content knowledge builds on content knowledge--it's abo

A note on 3: It's not really a dichotomy between communication skills and content knowledge. Pedagogical content knowledge builds on content knowledge--it's about knowing the structure of knowledge--the paths different learners will take through ideas, the common misconceptions and the examples that will resolve them, the ability to infer the shape of a learner's web of ideas, and knowing your way around the content knowledge well enough to offer something just beyond what the student has considered, but which is close enough that she can make the leap and thereby add it to her web.