One form of political participation is donation, of either time or money. Volunteering your time to call or stuff envelopes, volunteering your lawn for a political sign and adding your name to a petition are all forms of political participation.
There are dozens to choose from. One way people participate in the political process involves "doorbelling". This means volunteers canvass specific neighborhoods and homes to rally support for one candidate or cause, and to get more voters to show up at the polls. Many times they will also register people to vote while they are out doorbelling as well.
I do not know for sure what you want discussed, but I will talk a bit about social movements.
To me, social movements are the form of political participation used by desperate people. They are very high risk things because they can easily backfire. People who have better options will tend to use them.
Social movements are risky because they can offend people. The whole point of a social movement is to publicize your greivance by acting up in some way. When you act up, you might actually make people MORE angry at you than they were before.
A good example of this could be how people like the Earth Liberation Front make some people angrier at environmentalists than they would have been before ELF started acting up. ELF wants to make people oppose things like new housing developments that (they say) harm the environment. But by doing things like burning houses down, they make people think that ELF is a bunch of crazy and violent people. This may well end up hurting ELF's cause.