Wx Man I am the king on bouncing the aircraft on landing. The short field landing on the 172 is pretty hair raising as you have full flap and think that you are going to fall out of the sky. If you fly your speed and aim at the threshold you should come down alright. I have found that most bouncing occurs at low speeds so you will just have to continually practice landing. After a long while I finally stopped bouncing and believe me, greasing it on is one of the best feelings of flying.
Good Luck