How exactly do you teach "Making new things, solving new problems."? How can you solve a math problem if you can't do basic algebra, even if you can run an alg

How exactly do you teach "Making new things, solving new problems."? How can you solve a math problem if you can't do basic algebra, even if you can run an algebraic statement through wolfram and get a result? You learn problem solving largely through solving already solved problems in life. They're new problems to the student, not the teacher.