The world if filled with possibilities that few will discover simply because they choose to confine their interests into what society would dictate they learn.
You won't go far wrong if you keep thinking this way P_O.
But sometimes 'a need to know' cannot be taught. It is down to the individual to make this decision, and the longer your mind keeps enquiring, the wider your understanding will become.
On a flip side, be careful. Too much knowledge can also do more harm than good. A clear mind is as important as full one.
If a concept is being taught why not present a related concept for the students who cannot fully relate to the initial concept?
'Alternate thinking', a philosophers best friend.
This is good, as you've recognised that we humans are very individual in the way that we 'understand' concepts.
If I were you, I would forget about the left/right brain thing P_O, because there is always the possibility we can break the mold.
Concentrate on what you just posted

I'm giving you karma for this.
Schooling teaches you what's known (the fundamentals). It doesn't teach you everything and never will.
Higher education encourages us to advance in topics of interest, again, based on accessable resources.
Outside of this, it is up to you to make up your own mind.
Both are equally important.
As a Philosopher or Renaissance Man, you shouldn't disregard any possibilities.
I hope we may be in an age where things are going back to this scattering of knowledge P_O.
And things like Google may play a part in this. As understanding has never been easier to gain
than at the moment via the internet.
I was once told that it is a gift if you can put a complex concept across to another person so they
can understand it. These people make good teachers.
I sometimes study concepts with no real application in hopes that they will help me later.
Yes, they will.