I will just address one thing you bring up that probably exemplifies why we read this in a colossally different way. 'focus on the correct answer' *is* a bad w

I will just address one thing you bring up that probably exemplifies why we read this in a colossally different way. 'focus on the correct answer' *is* a bad way to teach anything and this is one of the least controversial statements in pedagogy. You focus on the process. You focus on "why we care about the question" and "how do we approach the question". Discussing the wrong answer and how to correct it is many times more useful than discussing the correct answer. This is all and this is truly standard.