The document discusses different frameworks and conceptions of the Trivium - the three basic subjects of grammar, dialectic, and rhetoric. It presents the Trivium approaches of various philosophers and educators such as Francis Bacon, Dorothy L. Sayers, C.S. Peirce, Karl Popper, and Marshall McLuhan. It then describes the school's framework for teaching and learning based on the Trivium, emphasizing grammar (knowledge), dialectic (exploration), and rhetoric (communication). The framework aims to develop "Philosopher Kids" who know, explore, and communicate effectively.