I am old enough to remember when the schools in Ontario Canada switched from learning math by rote to teaching math by making students learn math by first principles and then leaving them to figure it out on their own. Both systems had advantages and the latter system was designed to teach students to do creative thinking which is considered a good thing. I think the latter system created better thinkers who became good problem solvers. I don't know what they teach in the schools these days but I gather there are problems with it.
When are schools no longer educate we get followers!
I am old enough to remember when the schools in Ontario Canada switched from learning math by rote to teaching math by making students learn math by first principles and then leaving them to figure it out on their own. Both systems had advantages and the latter system was designed to teach students to do creative thinking which is considered a good thing. I think the latter system created better thinkers who became good problem solvers. I don't know what they teach in the schools these days but I gather there are problems with it.