They would not however be able to sync to another device as syncing would cause any of the apps installed using the school’s Apple ID to be removed from the device and only those apps purchased by the individual would remain.
the iPad is a consumer product. Period.
As I see it there are three possible methods for deploying an iPad and the apps:
Centralized Account Syncing — A traditional model
Tandem Accounts — A blended model
Individual Accounts — User “owned”