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Barbara Oakley

“If you have a library of concepts and solutions internalized as chunked patterns, you can more easily skip to the right solution to a problem by listening to the whispers from your diffuse mode. Your diffuse mode can also help you connect two or more chunks together in new ways to solve unusual problems. There are two ways to solve problems—first, through sequential, step-by-step reasoning, and second, through more holistic intuition. Sequential thinking, where each small step leads deliberately toward the solution, involves the focused mode. Intuition, on the other hand, often seems to require a creative, diffuse mode linking of several seemingly different focused mode thoughts. Most difficult problems are solved through intuition, because they make a leap away from what you are familiar with.24 Keep in mind that the diffuse mode’s semi-random way of making connections means that the solutions it provides with should be carefully verified using the focused mode. Intuitive insights aren’t always correct!25”

Barbara Oakley, A Mind for Numbers: How to Excel at Math and Science
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A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) A Mind for Numbers: How to Excel at Math and Science by Barbara Oakley
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