《论数学直觉思维的作用.docVIP

论数学直觉思维的培养 摘要Abstract Thinking is realized through a series of complex operation, the people in mind, knowledge and experience and memory in the use of storage time, process analysis, comprehensive, comparison, abstract and generalization of the input information. For any discipline study cannot do without thinking ability. While learning mathematics intuition thinking in mathematics is very important, it is a kind of mathematical activities in the cognitive process and intuitive. It has the characteristics of non - logic, simplicity, contingency, creative, self-confidence. To cultivate the students thinking ability, observation ability, bold guess ability, to lay a solid foundation of mathematics, be of great advantage to improve the perception of mathematics. But people have always used to emphasize the ability of logical thinking, teachers tend to focus on every rhythm teaching, this is not conducive to the overall development of the students thinking ability. Cultivate the intuition thinking ability is the demand for talents. Can use mathematical philosophy and aesthetics, focus on mathematical problem solving and problem solving, the association and imagination to develop students mathematics intuition thinking. Keywords：Intuitional thought of Mathematics；train  引言 20世纪以来，人们开始把“直觉”概念从哲学、艺术中抽取出来，放在人的一般人是思维活动乃至各种创造活动中加以讨论，把直觉思维看做是从事实到理论，从旧理论到新理论的跃迁或突变的一种思维方式，并给予很高的评价。 数学新课标里提到“注重提高学生的数学思维能力”。课件课程标准把数学的数学思维放在了极其重要的地位。并且将一贯的数学能力提法“逻辑思维能力”改成了“思维能力”。这一叙述上的改变虽然只是去掉两个字，但广大和丰富了思维能力的内涵。在数学思维中，直觉思维对数学创造性思维的培养有着特殊的意义。数学直觉思维能力的培养是目前数学教学中经常被忽视而又非常重要的实践内容，长期以来，在数学教学中，只重视分析、综合的逻辑思维训练，而忽视对直觉思维的诱发和培养，知识学生的“智慧视力”和创造心理品质得不到很好的发展，嘘声思考问题按部就班，循规蹈矩；缺乏敏锐的观察，丰富的想象，大胆的猜想；缺乏快速思考能力，直接判断的能力。因此，在数学教学中加强逻辑思维训练的同时，也应十分重视对学生直觉思维的诱发和培养，进一步探讨数学直觉思维内涵及其培养方法，有着重要的实践和理论价值。 一、数学直觉思维的概述 （一）直觉思维 直觉一词实际上有许多用法，在各种论著中说法不一。根据林智贤、林崇德等心理学教授的论述：“直觉思维是思维的一种方式”，“是人脑对于突然出现在面前的新事物、新现象、新问题、新关系的一种迅速的识别、敏锐而深入的洞察、直接的本质的理解和综合的整体判断，换句话说，直觉思维就是直接领悟的思维或认知。”这种思维不