i think the problem is math is taught backwards, if at all correctly. I have never once in class found out how or why the formula's and expressions and equations were created. Never. Yet, almost all math I've found has had real-world implications, even in theory to the mathematicians who created it. In my experience, this was even more evident in higher-math courses such as calculus, where proofs were done with the same attitude as simple arithmetic. it got to a point where you didnt ask why, you just did the work and handed it in, knowing the theories and concepts with no real way to think about them.
Were it not for my luck in several corresponding courses in calculus, biology, and several string theory and game theory specials courtesy of the Disovery Channel and PBS, I doubt I would ever have thought of the simple beauty of math and it as the ultimate language. Math is the one connecting function of everything, even in say, literature, timing is key to a great story, now how do you express time and its relations to other times?
Math is important, theoretical math doubly so: Experimental and theoretical math is the boundary pusher of math and science, the two go hand-in-hand at that level. this is the concept that is lost when math becomes commonplace. all math started as a radical new idea of thinking, of explaining and analyzing. to me theoretical math is the benchmark that shows the boundary of human thought.
To me somebody who cannot realize the importance of math, especially theoretical math and its relation to science has no right using a computer, which is above all designed to aide in these respects. we have computers to do math.... i.e. we give them rules and an equation to solve. we are now free to become creative mathematicians because we dont have to do the legwork until we get the right answer from the computer.