"A traditional type of line tag, sometimes played in snow, is Fox and geese. The fox starts at the centre of a spoked wheel, and the geese flee from the fox along the spokes and around the wheel. Geese that are tagged become foxes. The intersections of the spokes with the wheel are safe zones."
This was a form of "Tag' and required snow. Another form of Tag was "What Time is is Mr. Fox?
Another Tag game was Duck, Duck Goose.
In this game, usually played by young children, the players sit in a circle facing inward. One player, the "picker" or "fox", walks around tapping or pointing to each player in turn, calling each of them a "duck", until finally announcing one to be the "goose". The goose then rises and runs around the circle in the same direction as the picker, attempting to tag that player before he or she can sit back down in the vacated spot.
As with all games and playground activities the supervising teacher was there to make sure that things did not get out of hand. If they did not pay attention and make sure rules were followed and the games did not get out of hand there would be complaints which would lead to banning.
Red Rover Red Rover
In later years when I was supervising playground the boys wanted to play football. They also were playing football in after school leagues and always wanted to play tackle. This had to be banned on the playground because they did not have protective gear on and so they played tag football or flag football and the girls were mostly relegated to the sidelines. Once in awhile a girl would play football but that was not usually the case.
I was not in favor of it because of the injuries. I can remember one mother being very upset because of a broken arm that her child had received playing football after school. I remember thinking (and I may have even said it) "What can you expect when you let him play football. You are lucky the injury was not worse.
The teachers were there to modify rules, select appropriate boundaries and equipment, and make sure pupils are safe. Teachers should emphasize tag games that develop self-improvement, participation, fair play, and cooperation and they need to make sure the game does not get out of hand. Too many times when I was supervising I would see other teachers using the time to visit with one another instead of actively watching to make sure the students were safe and I am sure I did the same thing at times.
Play is necessary and important to a child's development but it should be play that includes all children and above all it should be safe. Here is an article from the New York Times about the importance of Recess.. The Fourth R.