Its a public space, so no reason not to. I think Schools should have cameras though.
Why not invest a few more bucks into security? It is a public space and it adds an additional deterrent for people to cause trouble in that area. If you are going to cause a crime and not want to get caught, obviously your going to do it while not on camera.
In public schools but not private
Mostly, my school doesn't watch the footage anyway. I believe it adds extra costs to schools.
No. Why make our children feel like prisoners? The overlords don't need to know every time I walk into the bathroom. Bad kids will find a way around them, and good kids with just feel uncomfortable.