My problem with the "new math" is the lack of volume. Developing a sense for the numbers is best done by working more with numbers; in the "old math" kids had to do thousands of additions in the first and second grade, and developed ten times the sense of numbers compared to kids today. Theory is theory, but practice is practice. Just get over the addition and multiplication, please. That's not where the true math is…
Learning by rote doesn’t teach you anything.
I believe critical thinking is as important as anyone does, but there's no critical thinking without foundational skills and knowledge. Education simply cannot be 100% critical thinking, even if we wanted it do.
"Rote learning is widely used in the mastery of foundational knowledge."