A method typically involves a set of actions that can be followed in a given situation. A strategy involves a plan for how to solve a problem. While methods tend to be fairly constant, strategy can be updated depending on the circumstances or the actions of others. For example, there is a method to ship-building. There is a strategy to winning a game. If you follow the correct procedure to build a ship, you will end up with a correctly built ship. The outcome of a game, on the other hand, depends on the other players and your response to them, so your actions will be part of a strategy. A method will not work because the same actions on your part will not always result in the same outcome.
strategy is how you plan to do something, mehtods are how you actually do it.