This study explored Wyoming school leaders' perceptions about the traits of incompetent teachers, strategies used to work with incompetent teachers, and the barriers to their dismissal. Most importantly, this study differentiated how principals and superintendents viewed incompetency issues. Some major findings include school leaders' beliefs that classroom management problems were an indicator of incompetence, counseling to leave the profession was a strategy used with incompetent teachers, and teacher unions were a barrier to their dismissal. (Contains 3 tables.)