Adobe has its own version of cloud computing*, like Google with Google Docs. It's called Buzzword.
*Also called Office 2.0 but in education, I think we like the term "cloud computing" better.
You can file share, create PDFs, have web conferences with screen sharing. It's a nice clean looking program. People say that it looks more like a desktop application than other cloud programs. Here's one review. Here's another.
I've mentioned Zoho before. They seem to have added a lot more features since the last time I visited. I wanted to check in and see if they've improved. I really like the layout and all the different functions! Here's a more detailed review.
From what I've gathered, these programs are great for cloud computing, but with lengthier more involved projects, your desktop software may be the better choice.
I still like GoogleDocs for school use, since so many districts are getting domains within Google to use for their students & staff. But really, any of these are great ways to do computing at school & at home without having to worry about a flash drive (kids are notorious for losing stuff, right) or email yourself.
If you're looking for a way to collaborate, I really like these programs for that. In a classroom, a teacher can open up a document & the kids can collaborate together either in a lab setting or using one computer & taking turns. There are a lot of possiblities.