摘 要：现代教学理论强调培养人才,提高人才素质的关键在于思维能力的培养,而直觉思维在培养学生创造力和创造意识方面起着独特作用.在数学探究和发展的过程中,直觉思维对数学概念的形成、理论的建立、方法的总结、思想的凝练和规律的发现等方面具有重要的作用.直觉思维有利于分析数学现象、猜想数学命题、顿悟解题思路、缩短思维过程、培育数学灵感.数学直觉思维是对数学对象某种直接的领悟和洞察,高度的直觉思维来源于丰富的学识和经验,可通过后天训练来培养.因此在数学教学活动中不仅要注重逻辑思维能力,还应注重直觉思维能力与培养.54327

毕业论文关键词：数学,教学,直觉思维

Abstract: Modern education theory puts emphasis on high skilled human resources training, and improving the capacity of high skilled people relies on the thinking capability training as it plays an unique role on the education of students' creativity and creative consciousness. Therefore, in the process of mathematics exploitation and development, intuitive thinking influences the formation of  mathematic definition, theory establishment, methods summary, thinking generation and pattern findings. In addition, intuition thinking contributes to analyzing mathematic phenomenon, hypothesizing mathematic proposition, understanding solution methods, shortening thinking process and training mathematic intuition. Mathematic intuitive thinking focuses on the direct understanding and observation on mathematic object, and the high intuitive thinking is derived from  enormous knowledge and experience, which could be gained by training. Therefore, mathematic education actions should not merely focus on the capability of logical thinking, but also concentrating on the capacity of intuitive thinking.

Keywords: mathematics，education，intuition thinking

目录

1 前言 5

2 数学直觉思维 5

2.1 数学直觉思维的涵义 5

2.2 数学直觉思维的特征 5

2.2.1 直接性 5

2.2.2 整体性 6

2.2.3 模糊性 6

2.2.4 或然性 7

3 数学直觉思维能力的培养 7

3.1 扎实的基础知识 7

3.2 有效的解题方法 7

3.2.1 大胆猜想 7

3.2.2 类比联想 8

3.2.3 数形结合 9

3.2.4 整体思想 9

3.3 敏锐的审美教育 10

结论 11

参考文献 12

致谢 13

1 前言 

有许多著名的数学家都对关于直觉思维的研究进行过说明.德国数学家伊恩·斯图加特曾说：“直觉是真正的数学家赖以生存的东西.”“数学王子”高斯也曾经反复强调，他的数学发现主要来自经验,证明只是补充的手续.而著名数学家狄多涅也认为：“任何水平的数学教学的最终目的,无疑是使学生对他所要处理的数学对象有一个可靠的直觉.”

可以说直觉是顿悟之地,创造之源,所以在数学教学中,充分认识到直觉思维的重要性,注意培养学生的直觉思维能力,是一项重要而又困难的工作.基于此,本文对数学直觉思维能力培养作一些探讨.