Thanks -- from that article: ?To make a student feel like they?re not good at math because they can?t explain something that to them seems incredibly obvious clearly isn?t good for the student,? said W. Stephen Wilson, a math professor at Johns Hopkins University.
I think the recog/recall distinction helps understand what's the common thread among these various complaints: a confusion between understanding something and being able to explain it, and of course in this context that means explain it in the "Approved" way. They are taking conceptual understanding, which is a very delicate and private sort of thing, and trying to regiment it and make into a drill that everyone does the same way in lock step.
Once you really "get" a new concept, it doesn't do much good to do it over and over. Once you realize that a grid of dots helps explain what 3x5 is, its over. Doing 10 more pictures with dots doesn't do anything but make people weary and disgusted.