You're getting downvoted because the same thing happens every time someone wants to fix mathematics education: People who learned it "the old way" insist that t

You're getting downvoted because the same thing happens every time someone wants to fix mathematics education: People who learned it "the old way" insist that there can be no other way. Somehow people think that applying calculus rules is "real maths" and "experimenting with shapes and intuiting a result" is not, but that's not true, and it's especially not true when those calculus rules were arbitrarily memorised at some point (because most people never derive calculus from the real number axioms).