Toulmin's method of argumentation vs. the classical method

The classical approach relies on appeals mainly and the Toulmin model on probabilities rather than absolutes. The classical helps you structure an argument in a way to cover the needs of your audience while Toulmin is good for analyzing arguments by requiring justification. Toulim’s is good for testing ideas so that you can see the truth and strength of the claim.Do you need to give background information first or can you jump right in to your claim? It would depend on whom your audience was and what you where trying to convince them.  

I believe most people use a combination of the two on a daily basis to try to persuade others. Probably more so the Toulmin because it's not so formal with no introduction or conclusion.