Thinking about it, there are lots of ways to solve a problem, usually because the problems we face are hard to specify or aren't absolute and require humans to intervene because a machine can't be made for every possibility.

When you go to school they teach you only using regulated problems that the teachers already have the answers to. While this is good for math and physics it becomes difficult when getting into english or history. And once you leave high school and go to university they typically need to re-teach you math and physics more than the others.

The main reason for re-training is because while in reality math and science has continued to advance, highschools now teach stuff that is 150 years out of date because they think it's easier on the students.

The main reason is that school is all about creating an illusion of control. If the students don't trust or accept the teachers then they will basically ignore them. The reason they need to do this is because the teachers don't actually have any authority whatsoever. If they tell off the students then the parents may retaliate (assuming they are helicopter parents) and the school will take a greater fall than the student did.

However, they still teach students misinformation as absolute fact. And they continue to use a system to make life appear more controlled than it really is just because the illusion needs that for support.

If people stopped believing they were right about anything, imagine how much calmer things would be. People would double check everything before they commit to it, and information would be treated with much more respect than it does now. There is a lot of stigma against math and science right now because it is "hard". It's not hard, it's actually the closest thing to fact you can possibly get. If it were easy it would be wrong.

Actually, the easier something is to do or remember, the better the odds its wrong. The first words out of an infants mouth tend to be wrong and it takes a few years to get the words right, but try to imagine our society if we never took on the challenge to speak properly.

Or how about how Einstein was bad at math when he was younger? If you've never heard of it, odd are you will think "WOW, how was such a genius bad at math?". The answer is that he wasn't, he was actually the top of his class. There was some gossip back then that he had rectified through news media, but apparently didn't stick as many people still believe he was poor at math. The reason it's easy to remember because it seems... ironic? But the crucial point is that it's easy to remember, and so was probably wrong to begin with.