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伊恩·斯图加特说:“直觉是真正的数学家赖以生存的东西。”许多重大的发现都是基于直觉,比如欧几里得的几何学,阿基米德的辨别王冠的方法,还有苯分子的环状结构的发现,都是从直觉开始。究竟什么是数学直觉思维呢?而中学生的直觉思维又该如何开发并且培养呢?直觉思维就是具有意识的人类大脑对于数学对象、数学结构以及数学规律具有敏锐的想象并且作出迅速的判断。这里最主要的两个方面是判断和想象,并且两者要有机结合,而中学生的思维特
Ian Stuttgart says: “Intuition is what real mathematicians depend on for survival.” Many of the major discoveries are based on intuition, such as Euclidean geometry, Archimedes’ method of identifying crowns, And the discovery of the ring structure of benzene molecules, all from the intuition. What exactly is the intuition of mathematical intuition? And how to develop and train middle school students’ intuition thinking? Intuitive thinking is that the conscious human brain has a keen imagination and quick judgment on mathematical objects, mathematical structures and mathematical laws. The two most important aspects here are judgment and imagination, and the two should be combined organically.