I agree with the author here for most of what was said. Except I would summarize it as "explore both the problem the student identifies and the solution the stu

I agree with the author here for most of what was said. Except I would summarize it as "explore both the problem the student identifies and the solution the student uses" and while doing so they would catch their mistakes. Explore means to drill down and seriously make the student wonder why they're doing the problem that way. And the wonderful thing about exploration is you don't even have to know the subject. You can just keep asking and engaging in a conversation. The student learns. And so do you.