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数学思维可分为直觉思维、形象思维、逻辑思维三种基本类型,直觉思维也称非逻辑思维,它是一种没有完整的分析过程或者逻辑程序,依靠数学的灵感或顿悟迅速理解并作出判断和结论的思维。这是一种直接的领悟性的思维,具有直接性、敏捷性、简缩性、跳跃性等特点。在数学学习过程中,直觉思维往往被误认为是蒙的,猜测的,得不到教师的认可与重视,但它是解决数学问题或者数学思维培养的一个重要组成部分,甚至是开发学生智力不可或缺的因素。布鲁纳指出:“直觉思维、预感的训练,是正式的学术学科和日常生活中创造
Mathematical thinking can be divided into three basic types of intuitive thinking, visual thinking and logical thinking. Intuitive thinking is also called non-logical thinking. It is a kind of incomplete analysis process or logic program. It can be quickly understood and judged by mathematical inspiration or epiphany And the conclusion of thinking. This is a direct comprehension of thinking, with the characteristics of directness, agility, simplicity, jumping and so on. In the process of mathematics learning, intuition thinking is often mistaken for being Mongolian, speculative, and not recognized and valued by teachers. However, it is an important part of solving mathematical problems or mathematical thinking development, even developing students’ intelligence Or lack of factors. Bruner pointed out: ”Intuitive thinking, premonition training, is the formal academic disciplines and create in everyday life