Create a new class in Prodigy and help all your students love learning math, whether they're learning in the classroom or from home! It couldn't be easier — just log in or sign up for your free teacher account, then select "Create new class" to get started. Once your class is ready, we'll show you how to add students so you can use all of Prodigy's powerful teacher tools.
From the Prodigy Website
If students choose "School" when they sign on it will match all the students from their class on the same server so they are able to interact with each other in real time on the game. This is how they can duel each other instead of just playing against the game characters.
If students choose "Home", they have the option to choose what server they play on. To them, it looks like they are choosing a world. The game is the same, it is just a server they are logged into. If they choose the same server (world) they can still see each other and interact the same, they just need to be on the same server.
In both cases, if there happens to be a lot of traffic on that particular server they may be invisible to each other until the server traffic lightens up.
More information is available at the prodigy support website.