Also the “feel good” idea of passing everyone along and giving most students A's and B's hurts our overall education. Students take home report cards filled with A's and B's, when they are actually falling further and further behind.
Memorization has absolutely no place at all in mathematics.
That is precisely correct. I happened to be about two years ahead of "new math" while my younger brother caught the first wave, and I still remember my parents' disgust with it. "New math" was a disaster for my brother.