> and generally mathematics is taught by mathematicians
So that leaves the door wide-open to a whole army of mathematicians to who it is unknown that are teachers.
And those are the ones for who all of the above does not apply and who still treat their 'entry level problems' as obvious to all their students even when the evidence strongly suggests that to the students it is not at all obvious.
And I'm writing this as a high school kid who was pretty good in math but totally lost interest due to such teachers (that, and computers were far more interesting).
> and generally mathematics is taught by mathematicians
So that leaves the door wide-open to a whole army of mathematicians to who it is unknown that are teachers.
And those are the ones for who all of the above does not apply and who still treat their 'entry level problems' as obvious to all their students even when the evidence strongly suggests that to the students it is not at all obvious.
And I'm writing this as a high school kid who was pretty good in math but totally lost interest due to such teachers (that, and computers were far more interesting).