Flame/Fost/Shock augmented perks raise the staffs power. Using it does not raise the associated skill so you'll have to pay for training to increase it. For the example of destruction, raising your destruction skill and using fortify destruction enchantments will give you more charges but taking the Novice->Master perks will not affect the staff as far as I can tell (which is super lame).
Conjuration staffs don't have a distance limit, so you can shoot a dremora lord to the far side of the room with the rose and stay hidden if that is your inclination.
Why does the first idiot that responds give a one word answer? Usually inaccurate too.
Because he's one-vocabulary responder. We need to find a plumber to fixing him up. @FredCat07
I have a vast vocabulary, I said no because its the truth. TC asked if staves increase the level of a school of magic(I.e. destruction).. The answer is no, he/she didn't ask if staves were affected by the perks in said school of magic.