When you get out of grammar school they'll teach you about reasoning in a little more detail
No, they won't. It sure would be nice, though.
If the (government-owned, government-operated) public schools actually taught logic, argumentation, and critical thinking, thoroughly and exhaustively, it would remove a lot of individuals and interests from power. Imagine if we never had any laws or policies except those that could stand up to rigorous examination. Imagine that clearly enough and you'll see why no one who could arrange that is inclined to let it happen.