Many people like growing with a deep water culture hydroponics system because it is simple, easy, and productive.
 
With this type of hydroponic system, seedlings and clones are held in net pots full of expanded clay pellets, rockwool or other growing medium. From here the net pots are placed into some type of bin with precut holes perfect in size for the net pots. The plant is then allowed to dip down into the nutrient solution below. With many systems, a submersible pump sends nutrient solution up to the access lid. From here the solution cascades down, wetting the roots and splashing down to the self contained reservoir which actually creates even richer oxygen content in the nutrient solution. Because the pumps are left on at all times, this is a simple set up that doesn't even require a timer.
Deep water culture hydroponic systems are so versatile they can even be used outside! You would simply have to have an overflow drainage hole in the side of the reservoir to prevent rainwater from causing it to overflow.