Here is an example, go outside and lay on the ground, look around you, you'll notice that everything looks differently than when you were looking at them standing up. Aha! A different perspective; see what I mean?
So, in this simple example, your eye and brain should be trained at seeing things, from different angles; from standing on a ladder to laying on the ground. Now combine this variation in perspective with how you pick a scene, an object, location, etc, and start evaluating color, light (angles, types, etc,) DOF, and you are beginning to scratch the surface.
Taking lots of shots, without going through this kind of homework, might not get you there.
In my opinion, this is the best advice in the thread thus far.
True creativity very often comes from the decision one makes as to where the camera will be, in relation to the subject(s), when the image is taken. Consider not only the angle from which the image is taken, but also the distance-to-subject, and, by extension, the relative distance between the primary subject and all of the other elements in the frame.
Unfortunately, this is often overlooked, or at least the importance of it is underestimated, even by many seasoned pros. For example, when I am shooting wildlife, and surrounded by many successful wildlife photographers, it always amazes me how many of them shoot from a comfortable standing position - even in cases where lying down and shooting from the ground will yield a far superior composition.