First, he says, we must understand why we teach math in the first place
Math teaches students how to think more clearly in all areas of life but it mostly performs this function silently, invisibly…
Mathematics gives students practice in core reasoning skills with concrete problems that have definite answers in order to help them achieve mastery of the reasoning process. That will allow the skill to be applied later to fuzzier problems where answers are not as certain.
Jonathan Bartlett, “How can we really fix the way math is taught?” at Mind Matters News
See also: The progressive war on science takes dead aim at math
and
Which side will atheists choose in the war on science? They need to re-evaluate their alliance with progressivism, which is doing science no favours.
Also: Jonathan Bartlett’s calculus paper reviewed in mathematics magazine. The paper offers fixes for long-standing flaws in the teaching of elementary calculus.