Mavericks won't sync calendar with Exchange server

I use a Microsoft exchange server at work for my email, calendard, and contacts. I primarily enter information from my work computer (originally 10.6, recently upgraded to 10.8) or my iPhone or iPad (latest iOS 7). These all sync fine. I also occasionally view and modify my calendar at home with an iMac or a Mac mini, which until recently were running 10.6 and 10.7 respectively. Everything has worked flawlessly for several years.

When I updated my home computers to 10.9, mail and contacts continued to work fine, but calendars stopped syncing. Old events show up, but new events did not. If I add an event on the 10.9 computers, it shows up everywhere else, but if I then delete it from another place, it doesn't clear from the 10.9 computers. I tried to delting the account and adding it, but that made *all* calendar entries go away.

Googling around, this looks like a pretty common problem, but I have yet to see a fix. At this point, it's just a nuisance, but we're about to go to Mavericks at work, and if my calendar stops working, it's a real disaster.

Any advice would be appreciated.