As an admin you can decide if teachers can add students, without requiring admin privileges.
To choose which teachers can add students on the fly, simple enable the CAN ADD STUDENTS option on the teachers in the Active Teachers list.
Teachers with this option will be presented with an option to add a student if they search for a student and the student is not found.
Please note that we do not recommend this option if you school syncs from ClassLink, Clever or CSV spreadsheet, as it is best these are managed only by CritterCoin admins.