We are two chicks who do not have a lot of automotive expertise, and who do have an '01 Jetta 1.8T. Despite an immeasurable amount of bullshit problems, it has served us well and is much, much fun to drive

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Back to the immeasurable amount of bullshit part, though:
While 40 minutes from home in a hefty rainstorm, our wipers quit - midwipe. Everything else in the car seemed to be working fine, including the washer fluid sprayer thingy hehehehe..... Anyhow, I pulled over and the wipers were easily moved up and down by hand, so there doesn't seem to be any binding going on in the linkage. When we finally made it home, I located and checked the fuse, and it is also fine. So, I assume it's the wiper motor, but the funny thing is, when I turn on the wipers, I can HEAR the motor working (including going faster and slower depending on the position of the switch) - but there's no wiper action.
So ... is it the wiper motor, or no? If not, what else could it be?
Thank you to all of you auto-smarties out there willing to lend a bit of advice.
Molly and Kimmy