>>12182454>Maybe that's actually good cause only the most motivated decide to try to study it.To mathematicians the rote memorization of certain concepts (basic algebra, solving quadratics, using trig functions, ect.) is trivial. The whole point of algebra is to rewire your brain to be more mathematically mature, then higher level math goes back and reconsiders every concept you might consider reflexive (such as commutativity) and generalizes it.
One is a bridge to the other. If you do not know every highschool math concept reflexively and without deep thought, then you're never, NEVER, going to make it to higher level math. Conversely, geometry, history, motivation, ect. doesn't necessarily offer higher insight into math itself. For instance, the infinite Taylor series for the sine function is substantially more useful than the geometric expression for it in every way.
Their way of teaching may be useful for training engineers and scientists, but not mathematicians.