
How Mathematicians Think
William Byers
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What Mathematics Can Teach Us about the Mind
World Scientific Publishing Company
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There is more than one way to think. Most people are familiar with the systematic, rule-based thinking that one finds in a mathematical proof or a computer program. But such thinking does not produce breakthroughs in mathematics and science nor is it the kind of thinking that results in significant learning. Deep thinking is a different and more basic way of using the mind.
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