The document discusses the inductive and deductive methods of problem solving. The inductive method involves moving from specific observations and examples to broader generalizations and conclusions. It allows students to discover truths for themselves through a process of observation, analysis, classification, abstraction and application. While slow, it promotes active learning and self-confidence. The deductive method provides students with general principles and rules and asks them to apply these to specific examples. It is faster but does not facilitate self-discovery or independent thinking. Both methods have merits and limitations depending on the learning context and goals.