I would first suggest reading books to help get you familiar with basic tactics such as a fork, double attack, pin, skewer, deflection, etc. Then, you'll want to practice these till you know them very well. You should practice tactics a lot.
After you have the basics down, move on to books that help you recognize combinations; which are basically a bunch of tactics coupled with a sacrifice. Once you know the basics, it is simply a matter of spotting opportunities in your own games.
Books I would recommend: Winning Chess Tactics and Winning Chess Combinations by GM Yasser Seirawan.
I'm fairly new to Chess (rated about 1400 on yahoo)
Practicing with tactics trainer has made me realize im loosing alot of opportunities to use winning tactics, probably because I'm not seeing them.
How would you suggest seeing more of these combinations?
Thanks