I liked the article. Thank you.
For example, Stigler says, in the Japanese classrooms that he's studied, teachers consciously design tasks that are slightly beyond the capabilities of the students they teach, so the students can actually experience struggling with something just outside their reach. Then, once the task is mastered, the teachers actively point out that the student was able to accomplish it through the students hard work and struggle.
I've always thought this to be a necessary part of instruction, and I've used it with DS7 as much as possible. It's one of the reasons I'm probably going to use Art of Problem Solving with him soon.
