Many of the tools will be familiar from your education, professional, and life experience, and have application in a wide variety of situations. Consulting another person to augment your own thinking about a problem is generally beneficial.
The various interaction tools are especially important for complex, “tough”, or “wicked” problems.
The problem complexity spectrum illustrates several ways to view problem complexity.
To me, the most critical of the common themes is that as social complexity—the number and diversity of people involved—increases, problem complexity increases.
Problem solving consists of using generic or ad hoc methods in an orderly manner to find solutions to problems.
Some of the problem-solving techniques developed and used in philosophy, artificial intelligence, computer science, engineering, mathematics, or medicine are related to mental problem-solving techniques studied in psychology.
Wading through everything you’re given and making sense of what’s important can be easier when you draw a picture!
It’s also incredibly important to draw a picture when working on right triangle trig problems.
I believe it is because seeing a visual representation of the problem can put things in perspective, help organize the information, and enable students to make connections that may not have been otherwise seen.
So while I know that not everyone is a visual learner, I believe this is still an important and helpful problem solving strategy.