Synthesized answer
The key concepts revolve around the fundamental sociological project of understanding how ruling ideas within a social system are linked to structures of class, production, and power [Passage 1]. These ideas are legitimated and perpetuated through various means [Passage 1].
The authors analyze education, broadly defined, to demonstrate how it carries an arbitrary cultural scheme that is, in reality, based on power, even if not appearing so [Passage 1]. This reproduction of culture through education plays a significant role in the reproduction of the entire social system [Passage 1]. The passages do not provide further explanation of these concepts in simpler terms.
Synthesized from the book passages below. Chat with the book on Feynman for follow-up.
From the book
Title: Reproduction in Education, Society and Culture by Pierre Bourdieu, Jean-Claude Passeron Description: The way in which the ruling ideas of a social system are related to structures of class, production and power, and how these are legitimated and perpetuated, is fundamental to the sociological project. In this second edition of this classic text, which includes a new introduction by Pierre Bourdieu, the authors develop an analysis of education (in its broadest sense, encompassing more than the process of formal education). They show how education carries an essentially arbitrary…