This document discusses various teaching methodologies. It begins by outlining traditional teaching methods like memorization and recitation. It then describes principles of different contemporary teaching methods based on psychology of learning, democratic ideals, and education objectives. Specific methods covered include inductive, deductive, project, expository, problem, demonstration, lecture, and metacognition teaching methods. Each method is defined and its typical steps are provided. The document emphasizes that teaching methods have evolved significantly over time to better engage students and promote active learning.