Spiffy's anology of pool is straight on with shooting. If you're new, just keep it simple. Line up your sights, concentrate on the front sight (everything else will be a blur) and fire.
Dry fire practice is also a good thing to practice.
Don't mean to probe into personal things here, how is the recoil on the .40? Some will develope a flinch when shooting guns that have a bit of a "bite" to them (the recoil "flip" sort of speak) and you could be anticipating your shots. Dry fire practice will show if this is a problem or not.
And Spiffman, keep on practicing your pool. Your "english" will get much better over time
edited: Just saw Rob's post, I agree with getting some basic training from the NRA.