The document summarizes several common second language teaching methodologies:
1) The Grammar-Translation Method focuses on grammar rules and translation with little oral practice.
2) The Direct Method uses only the target language and encourages oral production through questions and answers.
3) The Audio-Lingual Method relies on repetition and memorization of dialogs and structures.
4) Communicative Language Teaching emphasizes real-world communication over grammar with a learner-centered approach.
5) Other methods discussed include Humanism, Task-Based Teaching, and a potential future focus on cognitive and information-processing approaches.