When Diane Reay, Cambridge University professor of education, started researching her book about working class children’s experiences of education, she had no idea just how much inequality she would uncover in state schools today. “The most important thing I found out was that we are still educating different social classes for different functions in society.” She expected to find the English state system was providing roughly the same education for all. “But it doesn’t. Even within a comprehensive school, when…