论数学直觉思维的作用.doc

论数学直觉思维的培养 摘 要 思维是通过一系列比较复杂的操作来实现的，人们在头脑中，运用存储的长时记忆 中的知识经验，对外界输入的信息进行分析、综合、比较、抽象和概括的过程。对任何学科的学习都离不开思维能力。而数学直觉思维对数学的学习尤为重要，它是数学活动中一种认知过程和思维方式的直觉。它具有非逻辑性、快速性、跳跃性、简约性、偶然性、创造性、自信力等特点。对培养学生的思维能力、观察力、大胆猜测的能力，打下扎实的数学基础，提高对数学的感知能力大有裨益。但人们一向过多地强调对逻辑思维的能力，教师过多地注重一板一眼地教学，这都不利于学生思维能力的整体发展。培养直觉思维能力是对人才培养的需求。可以利用数学的哲学观点及审美观、重视数学解题及解题后的反思、联想与想象来培养学生数学直觉思维。 关键词： 数学直觉思维；性质；培养 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