Discipline is a negative action taken against an employee by management for percieved wrongdoing or failure to perform duties.
A Grievance, on the other hand, is what the employee files or claims when he or she feels that the university has done something wrong.
The academic setting for grievances is unique because of our complex bureacracy. The University of Florida may not blame lower management (departement chairs or deans) for mistakes. UF is responsible for training its grad coordinators, grad supervisors, chairs, deans, and provosts in the proper management of the contract.