I'm renting a home and the kitchen faucet causes a lot of splashing.  The first thing I did was un-screw the little piece on the end to check the aerator, and there wasn't one.  So I went to the hardware store and bought what I *thought* was right, just a little aerator screen to insert into the un-screwed piece.

But that didn't seem to make a difference.  The stream coming out of the faucet doesn't seem very aerated (still looks pretty laminar) and it still splashes a lot.

Is there something else I can try?  Every faucet I've ever used has been pretty well aerated, so I'm not really sure what to do here.