I'm no mathematician nor a school teacher. But I read through the document and I agree with some points, on others however I disagree greatly.
He seems to be greatly concerned about the difficulty of the courses. In my opinion mathematics should be difficult, it should challenge students and force them to think logically. What is the point in doing a maths exam if you have seen every single question before?
For instance he said:
(Under the Advanced Specimen paper)
That the simplification of
is beyond the capability of his 2 unit students.
And implying that students would need a compound angle formula
This is of course ridiculous as the maths courses should reward thinking, not mindless formula usage. I sincerely hope that all of his students at his prestigious school would be able to do this question.
I think he is vastly underestimating Advanced maths students. The letter does raise a few good points however.
Overall it seems he wants to make the Advanced course easier, and remove the harder types of questions in Induction for 3U (such as advancement by 2), which will make course easier.
Whether maths should be difficult or not is up to opinion, and in my opinion it should be difficult enough so that if you are doing Maths you dont take it as a joke.
In my opinion the exams should be structured in a way such that MOST top students get:
100% - Adv
85% - Extension 1
70% - Extension 2
Difficulty of the exams should be constructed such that these marks are obtained by the top students (not the very top, some of the math pros will obviously get higher).