Answer:
Direct: A direct way to participate in Democracy is to vote in elections, this infact is the easiest way to participate in Democracy, choosing you're an official to represent you may help you see action in idea's you would like.
Indirect: An indirect way to participate in Democracy is to contact your local Representative on a bill you would like propose, believe it or not, many other people would like this, and probably would vote for the Representative that proposes the bill.