OK, I'll give it the ol college try. Proper exposure is the result of the correct combination of shutter speed and aperture for any given situation.
It might be helpful for you to know that for every incremental change in shutter speed, i.e. 1/60 sec, 1/125 sec, 1/250 sec, 1/500, 1/1000th sec and for every incremental change in aperture, i.e. F/1.8, F/2.8, F/4, F/5.6, F/8, F/11, F/16 etc. you are either halving or doubling the light falling on your sensor (or your film if you are not digital)
So.... F/16 at 1/125 sec allows the same amount of light as F/11 at 1/250. If you increase one you have to decrease the other to maintain the proper exposure. ISO speed of course does enter the picture but it does not effect the basics of this math; it only raises or lowers the settings needed for the light conditions.
Use faster shutter speeds when you have to capture motion which is moving across the path of the sensor / film plane. Or when you need shallow depth of field. The resulting larger aperture will decrease your depth of field. Use smaller apertures (larger numbers) when you want a large depth of field such as an object in the foreground and a distant mountain both in sharp focus. Automatic cameras simply choose for you a combination of aperture and shutter speed that will give you a proper exposure without regard to how depth of field is affected unless you've chosen an automatic setting that is meant for either portrait (shallow depth of field) or landscape (large depth of field) or sports (fast shutter speed ant depth of field not a consideration)
Well, I tried to be concise but it looks like a went a little long, It's hard to be brief and still be comprehensive
Hope some of this helps