Hm, I think people vary a lot on this. I like to have a blurred outline of a thing before I fill in detailed steps; I find it painful and frustrating to be dragged through detailed logical steps without that context. I find mimesis is good for producing the blurred outline.
Agreed that classes also often go way too fast. University intro maths courses (in the UK at least) are often pretty terrible for this. But I have no problem in principle with people learning a mix of syntax and substance at the same time.
Hm, I think people vary a lot on this. I like to have a blurred outline of a thing before I fill in detailed steps; I find it painful and frustrating to be dragged through detailed logical steps without that context. I find mimesis is good for producing the blurred outline.
Agreed that classes also often go way too fast. University intro maths courses (in the UK at least) are often pretty terrible for this. But I have no problem in principle with people learning a mix of syntax and substance at the same time.