Deep thinking what mathematics can teach us about the mind
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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[Hackensack] New Jersey
World Scientific
2015
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| Online-Zugang: | FAW01 FAW02 Inhaltsverzeichnis |
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Inhaltsangabe:
- Preface: smart people or smart machines?
- What is deep thinking?
- Conceptual systems
- Deep thinking in mathematics and science
- Deep thinking in the mind and the brain
- Deep thinking and creativity 99
- Deep learning
- Good teaching
- Undergraduate mathematics
- What the mind can teach us about mathematics
- What mathematics can teach us about the mind
- 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. It results in the discontinuous "aha!" experience, which is the essence of creativity. It is at the heart of every paradigm shift or reframing of a problematic situation. The identification of deep thinking as the default s