let me try:
either in one shot mode or servo mode, you can choose your AF point to be any of the 19 selectable point. it can be the center point, a point on the left, a point on the right, up down or what ever. you also have the option of choosing all point (thats where you see all of them lit up) and than the camera will choose the point for you. now, in previous 1 series bodies, you had the option of choosing any point you wanted out of 45 available points which was nice but became a bit of a chore to scroll through all these points. in the mkIII, canon changed this system so now you can only choose out of 19 available points. now before you get all worked up saying that canon robbed you of extra points, they didn't. you still have 45 AF points working for you but you can only choose 19 (trust me, it is more than enough).
i know that it doesn't make much sense to you right now but it will once you start using it. as for how to choose the point and change it from the center one, all you have to do is press the upper right button on your camera (the one that looks like different color squares 2 buttons to the right from the AF-On button) and than use the scroll wheel to choose the point that you want.
i don't want to confuse you even more but in addition to all this mumbo jumbo, you also have some custom functions that will also modify the AF even more. for example, you can set a custom function that will auto expand your af points so if for example, you focus with a single point, the camera might turn on more points to the surrounding area.