School administrators must regularly evaluate the needs of their school and analyze the abilities of the faculty and staff in being able to meet those needs. When supporting school leaders it is...

School administration and leadership.
School administration and leadership.
Everything that the school faculty or the school administration needs to meet the ends of the school.
How to select faculty leaders?
Selecting faculty leaders is a responsibility bigger than being the faculty leader. The reason being the choice you make will decide what the future of the faculty is going to be like in the upcoming years. So, analyzing each and every faculty member in every aspect of their work life is the key factor. Observation can help a lot in this case.
Check if the particular individual has got all the skills that a faculty leader needs or is expected to have, if someone satisfactorily checks this box than they are the one.
Check the previous records of that person. Focus on if there is any prior evidence of their success in the field of their work. If they were successful enough and reached the goals that were set for them in their previous jobs than they are likely to be successful in this job as well.
Personality of a person matters a lot. Their attitude towards their work, their co-workers and the students will decide the impression they will be having while on their jobs. No one likes an unapproachable leader with a rude behavior. And hence, personality is another major factor one should check while hiring a faculty leader.
How should the coaching style be?
There are different coaching styles, viz. democratic coaching, authoritarian coaching, holistic coaching, autocratic...