Is it possible to prove that a bunch of individuals were (or could be) convinced to be good at something (even really difficult), but it was in fact their illusion of knowledge?
Here's a bit more detail: let's take an average class at school. Let's give them a math teacher, whose way of teaching math is extremely mnemonic, still facing hard subjects. They'll be asked exactly what they were told at lesson, without any reworking demanded. The teacher will assign the highest marks to those students who are able to repeat the better. Will some of them eventually get to believe they are good at math, when in fact they can scarcely ever apply what they're studying or explain the ideas behind?
I did not find what I was looking for in the Wikipedia persuasion though.