I am loving Instashare for transferring files, videos and photos between iOS devices such as an iPad and iPhone. It works like Airdrop on the Mac by enabling the transfer of files via local wi-fi or Bluetooth. There is a Mac beta version which works well to instantly share files between my Mac, iPad and iPhone. Currently an app for iOS Devices, the developers are working on an android as well as Windows version.
Instashare would be great for sharing files between devices the classroom.
Instashare is free, and you can upgrade to a ad-free version for around $1.30.