There is a difference between the language of math and the calculating of math.
Calculations prove knowledge of lower levels.
Language of math proves knowledge of higher levels.
It is the difference between reading topology and being able to reduce it.
It is the difference of reading a differential equation and solving one.
Reading is connected to concepts while calculations are based on pushing buttons.
"Stop teaching calculating.  Start teaching math." ~Conrad Wolfram
He says I should think about posing questions in the real world (or the holographic one).
University still hasn't become up to date.