There are no stupid questions, You want information, you got it. Firearms terms can be decidedly vague or confusing. So I will try to explain a few of what you asked.
S/A = Single action, the hammer must be cocked before you can give a single pull to the trigger to fire. Whether this is a revolver where you cock the hammer manually, or a semi auto, that you can cock the hammer manually or just retract the slide, or in a rifle, like an AR15, M1A, etc... pull the charging handle which cocks the hammer. The hammer is a seperate part that is brought back under spring tension, and as it is named, go's forward like a hammer and hits the firing pin.
D/A = Double action, that means you can do as above and manually cock the hammer, or just pull the trigger, through a normally long trigger stroke, and the trigger cocks the hammer for you. Also called trigger cocking.
DAO = Double action only, this is not a correct term, but used a lot. It means, Trigger cocking only, no pre-tensioned hammer.
Striker fired = The firing pin has a spring that forces the pin against the primer, when it is pulled back and locked, and then released. Glocks, S&W M&P, Springfield XD's, etc.. use this, as well as bolt action rifles.
Floating firing pin = a firing pin that is preloaded toward the hammer with a spring, but not attached to the hammer, when hit by the hammer, it is forced against the spring hard enough to ignite the primer, New S&W revolvers use this as most rimfire revolvers, and most semi-auto pistols with a hammer.
Semi-auto = Self loading, with each pull of the trigger, a round fires and a new cartridge is loaded for a new pull of the trigger.
Cocked and locked = A loaded cartridge in the chamber, the hammer is cocked, and it has an external safety that has to manipulated to put it into the fire mode, for the hammer to release and fire the cartridge.
Passive safeties = Things that will prevent the gun from firing unless in a firing grip, such as a lever on the trigger, that won't release the trigger unless a finger is on it, Glocks, M&P's and XD's use this, the XD also has a grip safety, grip safety, like on 1911's won't fire unless the pistol is in a firing grip.
Worth mentioning, a Squeeze cocker, H&k P7 or M13, a lever on the front of the grip that has to be compressed and it cocks the hammer to enable it to fire.
Like everyone else said, do some homework, the NRA absolutely has some great literature, and their courses are excellent. I hope I gave you some immediate satisfaction
