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数学直觉是具有意识的人脑对数学对象的某种直接的领悟和洞察,对于学生来说,数学学习是一个再创造的过程.这个过程要求学生除了必须具有一定的逻辑推理能力外,更需要具有观察力、直觉力和想像力,特别是直觉思维能力.学生的数学思维、判断能力的高低主要取决于直觉思维能力的高低.徐利治教授指出:“数学直觉是可以后天培养的,实际上每个人的数学直觉也是不断提高的.”可见,在数学教学过程中,培养学生的数学直觉思维能力势在必行.
Mathematical intuition is a kind of direct comprehension and insight of the conscious human brain to the mathematical object, and for the students, the mathematics learning is a re-creation process, which requires the students to need more logical reasoning ability than certain logic reasoning ability Has the ability of observation, intuition and imagination, especially intuition thinking ability.Mathematical thinking of students, the ability to judge mainly depends on the level of intuition thinking ability.Professor Xu Lizhi pointed out: “Mathematical intuition can be nurtured, in fact Everyone’s mathematical intuition is also rising. ”" It can be seen that in the process of mathematics teaching, it is imperative to cultivate students’ mathematical intuition thinking ability.