There's very little that I know of on an SAT that would demonstrate the skills to teach a 10 year-old math. Somebody who teaches a 10 year-old math doesn't even have to be very good at math.

So the problem I have with this argument is that it implies that virtually all of the essential skills (as I see it) that are required to be a good teacher shouldn't be compensated. Instead, teachers should be compensated for the skills that make them a good engineer or historian.