Does MinecraftEdu support mods?

Yes, MinecraftEdu supports Forge mods. You can add a host of pre-tested mods directly from the launcher but you can manually add any mods you want. Check the wiki for more details: http://services.minecraftedu.com/wiki/Taking_it_Further#Using_mods

In fact, the latest version of MinecraftEdu comes with ComputerCraft and the new beginner friendly ComputerCraftEdu (http://www.computercraftedu.com) included.