Amanda - We use our Jive community for teaching/learning in a master's program at Northwestern. There are definitely applications for how we are using Jive in the corporate learning arena. I also know another Jive customer who uses their Jive community for learning in a consulting firm. She may be willing to talk to you. It might be easiest to set up a time to connect via google hangout or skype so we can chat about this in more detail. You can reach me at email@example.com
I'm not sure I have great answers for you around content management, copying documents, etc. but it would be great to connect. We are always interesting in having thought partners to connect with around learning/teaching.