There are two small museums on either side of the amphitheater in downtown Amman.
They are the Folklore Museum and the Museum of Popular Culture, and they are pretty cool. They are both quite small, so even if you aren't a museum person you can enjoy these and then go on to do something else.
These are pictures from inside the small museum--I think all of these came from the Museum of Popular Culture/Tradition.
This is the first thing you see when you walk in--traditional Jordanian army wear.
Check out those ankle bracelets! Let's hope you don't kick yourself...
Self-defense bracelets, maybe?
The largest plate for Mansaf that I have ever seen...