Anthroposphy is a system of belief that believes amongst other things, that people are reincarnated.
The way schools are set up and run is set by this belief system. Everything from the colour of the walls, to the curriculum, to the use of wood and no plastic.
And any schools that are listed as Steiner/Waldorf schools do follow anthroposophy.
If parents are happy with anthroposophy influencing every aspect of the school, then fine.