Regular outlines (the kind that use Roman numerals, capital letters, Arabic numbers, and lower case letters) are highly structured graphic organizers that don't work well for brainstorming. It is too difficult to come up with ideas quickly when you are trying to fit them into a complex pattern, such as a traditional outline, at the same time.
The problem/solution outline, however, is more simply structured. This type of graphic organizer is useful because the act of filling it out forces you to:
1. clearly delineate the problem at hand, including causes and effects
2. come up with solutions, and even possible outcomes of those solutions
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To do this successfully you need to build a clear path of action by using tools if necessary. These tools would be facts, evidence and stories which you know they can relate to. Plus you always want to have their best interests at heart, in other words, you know what is good for them