Don't feel stupid, lots of people have the same issue. Here's how I explain the program:
Think of AOW as a dinner appetizer. You get to sample a few different things and if you like something you can go back for more (specialty). Or if you already think know what you are already interested in, order up the main course (specialty) or dive right in

(I crack myself up!).
AOW consists of a deep dive and a navigation dive which are mandatory as well as 3 others that you, your instructor, class choose giving you a 'taste' of the different types of diving. A specialty course will focus on that one type of specific diving.
Take the deep dive, with your instructor you will do 1 deep dive (doing/learning skills) to a maximum of 100 feet for the AOW. With the deep specialty you'll do 4 dives (doing/learning different skills on each dive). Your last dive in that course you could go to a maximum of 130 feet.
(I'm trying to keep this simple so I'm not talking about pro and cons of going that deep, size of tanks, gas management, etc....)
Most people that take the AOW course do so, at least in my opinion, so that they can 'sample' the various different dives that they can do before deciding if they want to invest more time and money into a specific specialty. Also, some courses don't need more than the introduction dive that you would get with the AOW.
Hope this helps.