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Nurturing creativity is a recurring theme in both frameworks, as is the importance of collaborative learning,

Dependent on PD

Besides the lack of time and/or motivation, I’m beginning to wonder if teachers really know how to learn new skills independently. We come from a system of education where everything was fed to us. As a student (even through my master’s degree), if I was told I needed to learn something there was a clear process I had to go through to learn it; sign up (and pay) for the right course with the available expert, buy some textbooks, go to class, follow directions, and collect my credits to show that I had learned it. Most PD follows a similar process (although greatly abbreviated). So that is the paradigm that teachers have for their own learning – they feel that they need to be taught something in order to learn it. I’m not sure that they know there is now another way to learn, especially where learning about technology is concerned. But how would they know this new way of learning if it’s rarely been modeled for them? And if this is how they view their own learning, can we really expect them to teach students how to be independent learners?

Even if the student can solve optimization or related rates problems just like the ones in the book and in the lecture — but doesn’t know how to start if the optimization or related rates problem does not match their template — then the student hasn’t really learned calculus. At that point, those “applied” problems are just more mechanical processes.

Khan Academy is great for learning about lots of different subjects. But it’s not really adequate for learning those subjects on a level that really makes a difference in the world. Learning at these levels requires more than watching videos (or lectures) and doing exercises. It takes hard work (by both the learner and the instructor), difficult assignments that get students to work at these higher levels, open channels of communication that do not just go one way, and above all a relationship between learner and instructor that engenders trust.

more efficient way to shepherd students through basic general-education requirements—particularly those courses, such as college math, that disproportionately cause students to drop out

That fall, with little debate or warning, it placed 4,700 students into computerized math courses. Last year some 50 instructors coached 7,600 Arizona State students through three entry-level math courses running on Knewton software. By the fall of 2014 ASU aims to adapt six more courses, adding another 19,000 students a year to the adaptive-learning ranks.