I am one of those people who shoot mainly in Aperture Priority (Av) Mode. Av Mode allows me to set my aperture and the camera will adjust the shutter-speed (exposure) for me. This is because I like to control the depth of field, or in other words, I sometimes want the background and/or foreground of my image to be out-of-focus (or have shallow depth-of-field). You can see what I mean in the image of the tree root above. The center of the image is in focus, but the foreground and background aren't. This is because I shot this with a "wide open" aperture.
If I had my camera in "idiot mode" the entire image probably would have been in focus, unless I used the portrait mode (which uses a wide aperture, but gives me no final control). Technically fine, but you lose control of your final image... In the portrait below you can see a subtle out-of- focus background. This brings attention to Imp's little mischievous face. I prefer the soft background.
I shoot in Av (aperture) priority mode 95% of the time. This setting allows me to preset my aperture and it will automatically adjust the shutter speed. I don't want to go into great detail today, but the larger your aperture, the smaller the number on your camera, and the less depth of field -dof- (in other words, your entire image will not be in focus).
For example, see the photographs below of an old tennis ball I found out in the back yard. I know, it is pretty gross. It is the cat's ball.
The first image is shot with a wide aperture (f/1.8,small number-large aperture, lots of light gets in the camera). Notice the foreground and background are blurred. I used my Canon EF 50mm f/1.8 II Camera Lens
The second and third images are shoot with smaller apertures (f/4.0 and f/6.3). Notice the smaller the aperture (larger numbers mean smaller apertures) more of the image is in focus and the exposure time is longer (because less light is getting into the camera through the lens).
Remember, I only set the aperture and ISO ("film" speed). The camera automatically picked the exposure (amount of time the "film" is exposed to the light) for me.
If you don't understand this, you have to go read Understanding Exposure: How to Shoot Great Photographs with a Film or Digital Camera (Updated Edition)
BTW, if you are trying to capture quickly moving children in low light and don't want to use a flash, use a smaller aperture (or faster exposure) to make sure they are in focus and bump up your "film" speed. There is no way you can shoot wide-open in dim light with moving kids. They will be a complete blur. Kind of like some of my days here!!! :-)
The idiot modes on your camera can only get you so far, but once you understand how the camera takes photos, you can control your final images. I don't think there is an idiot mode on my Canon Rebel XT that would be able to automatically capture this shot you see below.

By the way, I am so excited by the new Canon EOS Rebel T2i
My Rebel XT is still doing fine, but I will upgrade when this Canon T2i has been out for a while. It not only has excellent low light abilities (a must for this mom who hates using any type of flash), but it also has HD movie capabilities. Having a camera and movie camera combined sounds like this mom's dreams come true. If anyone has seen this camera I would love to hear about it! I hope it is as good as it sounds.

