I'm confused. How is that a problem? A student who is having trouble with a problem, rather than being told "Huh. You must be some special kind of stupid, everyone else got it" is instead told "Huh, you must be a real kinesthetic learner."

That does not seem like a problem in the slightest. Yes, it does assign part of that as an identity to a student, but an identity as "Visual Learner" is a lot better, and significantly more useful that "Bad at math." I can't tell you the number of people who have said they were "Bad at math" when their only problem was that they had only ever been exposed to visual math lessons.

I still don't understand what is exactly the problem with having children identify with a learning style. Yes, "their" learning style is more based off of preferences than anything, but being able to acknowledge that you prefer to learn a certain way seems be a step up, not a step down as the article seems to be arguing.