@ Martha .... is this in a classroom environment and on a school WIFI network? Depending on how many students, this might be an issue of insufficient bandwidth of the network. Some students get lucky...others get shut out perhaps. Check with your IT person.
@ Martha/Ellen/9okil If the devices have been used for App Inventor programming for a while, the problem might be ameliorated by deleting the folder on the Android phone/tablet find the AppInventor folder , delete the contents of the assets folder. I have been told that for some, this will 'cure' the problem of getting stuck downloading. Try it and let us know if it works for you. The idea is that the device memory gets cluttered with unused files. App Inventor does NOT need these files. They will be replaced with the required data that your app has in its Media (Resources).
Regards,
Steve