Where Are We Going?

I've slowly gained an immense (I can't encompass it) disdain for our academic syllabus. I'm preparing of the IIT's (as ya'll should know), but I still feel that lack of true persuance of the holy grail of knowledge. As a gentle warning, this is going to be a ranting post, so pardon me if any emotions are flared.

The main problem I have with what we are learning is: WHAT ARE WE DOING WITH IT??? Do we analyse, rip apart and reconstruct situations. What makes a parabola a parabola? There are like a thousand questions which give a very interesting results, GENERAL results. Why don't we deconstruct the situations and understand WHY things happen? I'll give a simple and not very good example: If you find the locus of points from a pair of tangents are drawn to a parabola, such that the intercept made by the pair of tangents on ANY line parallel to the directrix is a constant, it ends up being a parabola PARALLEL to the first one.

Especially in maths, we tend to take a lot of things for granted, that two parallel lines must be straight. If we analyse (which we don't) non-eucledian geometry we see that this is not a condition. We take so many things for granted, that when it comes to interesting new worlds (which represent our world better) we make those same wrong assumptions.

Physics too is becoming a bore. I love physics, and it is my forte, but we take a lot of things for granted again. We derive results for very simple cases, and push them off as universal things. We make horribly inaccurate simplifications of certain differentials. For example the expansion of a rod equation, (L_f = L_o (1+aT), the T is valid only for very small degree changes, in the order of 10^-5 to yield any degree of accuracy, but we use it for things with 40-50 degree differences.

Chemistry is the worst of them all. We were shown Heisenberg's uncertainty princple, without actually understanding WHY it is INESCAPABLE. And Schrodinger's Wave Equation is nothing but a jumble of symbols (though elegant and very professionalistically complex symbols). We are told that it is one of the most important equations there is, and that it can tell the electron density. But WHY? Leave why, how do we apply it? We surely haven't used it ever.
Organic chemistry is a funky subject, because a lot of things are not really known. But I know for a fact that there are good and consistent explanations for most things that we do. But most of the time we have so many exceptions and we have to consider simple rules of thumb: If the product is complex, it is right. If the probable yield of the compound is fractional, it is probably right (I've kinda made these, and they work well).

Why can't we leave this stuff behind? We are in our 12th, and that is definately old enough to understand what's going on. We should understand this world better, and most of what were doing doesn't push us in that direction. No matter what we do, we will have to analyse situations break them down, and there no time too soon. I don't know if it's just me going through these emotions, but knowing that most of you are scientifically orientated, I'm sure that you understand what I'm going through.