All the courseware, classes, and schooling in the world cannot teach one to think.

Educators absolutely can teach students to think. The scientific method is one example of a key mental tool which provides an organized, disciplined framework for thinking. If you read a lot of stuff written before the scientific revolution it's kind of a mess because the authors literally didn't know how to think. When they occasionally got things right it was mostly by accident.

Of course they can. What the heck?!?

Logic 101 changed the clarity of my thinking markedly.