How did Athenian democracy differ from Roman republicanism?

The Roman Republic was a form of government in which the people would choose the representatives to govern them, which means that the elected the senate and assembly made the laws.

The Athenian Democracy was a direct democracy which means that they were a form of government in which an assembly of ordinary citizens makes decisions. Any male citizen could take part in the Athenian Assembly but women, slaves and people born in other countries were not allowed to participate in government.