The Silent Way is a language teaching method developed by Caleb Gattegno that focuses on student discovery and problem solving. The teacher remains mostly silent to encourage independent learning. Key aspects include using colored charts to represent sounds and vocabulary, rods to create visual situations, and focusing first on pronunciation before more complex grammar. The role of the learner is to take responsibility for their own learning by formulating hypotheses and discovering rules through exploration, while the teacher facilitates this process without providing direct instruction or answers.