just wait till you get into university.
I'm working on an educational theory called "Feather in the Cap"
like this old chap,

the idea can be applied to math, physics, philosophy, literature, and so forth. Instead of teaching courses, we teach principles and concepts. Some would depend more on others, while many would seem relatively autonomous.
Students would attain grades of feathers in terms of concepts demonstrated, not points accumulated. Either you know how something works, or you don't. Either you get it, or you don't. As students earned grades of understanding of related materials, they would branch out in the size of feathers, colors, and complexity, not unlike martial arts belts or capoeira ropes.
if a person couldn't divide, for example, it wouldn't matter how well they could multiply, the color for divide would never be added.
I've also discovered people have different ways of accomplishing the same goals, and this is not always accepted. This to me seems ludicrous except as a conditioning tool or assumed "doctrine" for communicating higher ideas. It seems to me, if something is an actual effective way of doing something, then it is, generally speaking, true, and changing it so it fits the idea of something else implies that the something else is either partially false or compatibility exists.