Comment Re:Wait... They want them to dumb things down... (Score 1) 511
Actually, things like this are done all the time. For example, think back to when you were first taught math. Actually, a little further, to just numbers. I don't know about you, but I was originally told there were no numbers below zero, and thus you can't subtract a number from one smaller than itself. Oops, that was wrong, wasn't it? They're called negative numbers.
Move forward a bit to square roots. You can't take the square root of a negative number. Whoops, wrong again. You get an imaginary, or complex number.
This even persists through college. I'm in a class right now where, from talking to people ahead of me, I know that most of the information is dumbed down to the point that it will become utterly useless in the following classes, because the physical models are too simplified.
Actually, let's take a look at your F=ma example. F=ma isn't truly accurate. It's really F=m(dv/dt), since "a" isn't necessarily constant.
This all gets even better, when you start thinking about the fact that many things most people think of as fundamental truths and facts go flying out the window when you get into the realm of relativity or quantum theory. Time flow is constant? Not when traveling near lightspeed or near a large enough mass. An object has a defined position and momentum? Not on small enough scales.
Concepts like this are simplified all the time, often to the point that, to someone who knows better, they're wrong. Now, I'm not saying it's a good thing. I would much rather learn it right the first time than learn it incorrectly and have to fix what I know later. But, somebody decided that wasn't the best way to teach "complex" concepts, thus that's the way it's done.
Move forward a bit to square roots. You can't take the square root of a negative number. Whoops, wrong again. You get an imaginary, or complex number.
This even persists through college. I'm in a class right now where, from talking to people ahead of me, I know that most of the information is dumbed down to the point that it will become utterly useless in the following classes, because the physical models are too simplified.
Actually, let's take a look at your F=ma example. F=ma isn't truly accurate. It's really F=m(dv/dt), since "a" isn't necessarily constant.
This all gets even better, when you start thinking about the fact that many things most people think of as fundamental truths and facts go flying out the window when you get into the realm of relativity or quantum theory. Time flow is constant? Not when traveling near lightspeed or near a large enough mass. An object has a defined position and momentum? Not on small enough scales.
Concepts like this are simplified all the time, often to the point that, to someone who knows better, they're wrong. Now, I'm not saying it's a good thing. I would much rather learn it right the first time than learn it incorrectly and have to fix what I know later. But, somebody decided that wasn't the best way to teach "complex" concepts, thus that's the way it's done.