数学直觉思维在数学思维活动中有着特殊的地位和作用。
Intuitional thought of mathematics has special status and function in mathematical thought.
数学直觉思维是人脑对数学对象及其结构的一种迅速的识别。
Summary: Mathematics intuition thinking is a kind of quick recognition to mathematics object and its structure which stems from brains of human being.
文章第三部分分析影响数学直觉思维的因素，研究数学直觉思维的培养策略。
In the third section, the paper researches the cultivating strategy of the mathematical intuition thinking by analyzing the factor of influencing the mathematical intuition thinking.
数学直觉思维在数学教学中的恰当运用，可以提高学生数学创造性思维的能力。
The proper application of Mathematics intuition thought in mathematics teaching , can improve the students creative thinking .
本文主要说明的是高中数学教材中数学美的体现及其与数学直觉思维能力的培养。
This article stated that high school math teaching in the mathematical expression of the United States and its intuitive and mathematical thinking ability training.
数学直觉思维是否具有逻辑性？能否有意识地加以培养？本文对此作了分析和探讨。
Does intuitional thought of mathematics have its logicality? Can it be fostered purposely? We analyse and approach these problems in this paper.
以上述研究为指导，制定了培养数学直觉思维的实验方案，进行为期一学年的数学实验。
Finally regarding the above research as guidance, I established the experiment project to educate the mathematics intuition thinking, and spent one academic year doing the mathematical experiment.
事实上，数学直觉思维是导致许多数学发现的关键，而形成良好的直觉依赖于对于数学美感的鉴赏力。
In fact, mathematics is the intuitive thinking of many mathematical found the key and form a good intuition depends on the appreciation of the beauty of mathematics.
正如这几章将要论述的，数学并不局限于解析和数值；直觉起着重要的作用。
As the chapters will illustrate, mathematics is not restricted to the analytical and numerical; intuition plays a significant role.
所有的读者都有机会参与数学体验，欣赏数学之美，熟悉其具有逻辑而又出于直觉的思维方式。
All readers will have the chance to participate in a mathematical experience, to appreciate the beauty of mathematics, and to become familiar with its logical, yet intuitive, style of thinking.
我是一个相当有耐心的人，并且凭直觉就能够理解数学的相关概念，所以我很好的利用了这个优势。
I'm a fairly patient person and I intuitively understand most mathematical concepts, so I was able to really make this take off.
机器人，或者更具体点地说，在机器人中安装的大脑——数学算法，无法做出这样的直觉跳跃。
A robot, or more specifically, the mathematical algorithms installed on a robot that are its brain, can't make that intuitive leap.
思考清楚你应该采取什么行动的概率后会相对容易些，但给答案时却依然反直觉行之——甚至对那些数学领悟力超强的人而言也是如此。
It's relatively easy to run through the probabilities that show which action you should take, but the answer remains counterintuitive-even for those with an exceptional grasp of math.
这样的发现并不仅限于数学，即使在依靠直觉的美学学习上也是如此。
These findings extend well beyond math, even to aesthetic intuitive learning.
“前严谨”阶段。在此阶段以一种非正式，直觉性的方式来教数学，建立在例子，模糊的符号，借助手势的基础上。
The “pre-rigorous” stage, in which mathematics is taught in aninformal, intuitive manner, based on examples, fuzzy notions, andhand-waving.
这是违反直觉的，但这却可以很容易的用初等数学来证明。
It's counterintuitive, but it can be proven easily with elementary mathematics.
我们知道，这种感觉，这种数学顺序的直觉，带给我们隐含的和谐和关系的神圣感，并不能被每个人所掌握。
We know that this feeling, this intuition of mathematical order, that makes us divine hidden harmonies and relations, cannot be possessed by every one.
去从事那些能发挥你卓越直觉和逻辑思维能力的工作，去探索科学、数学、法律和医学的迷人世界。
Do things that allow your brilliant intuition and logical abilities to flourish. Explore the fascinating worlds of science, mathematics, law and medicine.
应当帮助构筑学生的数学思维结构，重心放在具体、抽象、直觉、函数思维这四大维度。
It points out that the mathematical thinking in general includes the following aspects: concrete thinking, abstract thinking, intuitive thinking and functional thinking.
了解商标积分结石可能导致复杂数学想法在直觉上下文很好在这名学生进步对正式可使用想法的水平之前。
Understanding the integral calculus of LOGO can lead to complex mathematical ideas in an intuitive context well before the student has progressed to levels of formal operational thought.
在20世纪关于数学基础的争论当中，直觉主义流派往往将康德认作是其理论的鼻祖。
In the dispute about the foundation of mathematics in the 20th century, philosophers approving Intuitionalism usually take Kant for the originator of their theory.
它涉及了历史、直觉、逻辑、数学和希望。
It involves history, intuition, logic, mathematics, and hope.
任何数学算法必须由直觉来补充。
Any mathematical algorithms must be supplemented by heuristics.
数学思维问题是数学教育的核心，数学的创造性离不开直觉思维。
The mathematical thinking problem is the center of mathematical education . Mathematical creation is unable to leave intuitive thinking .
任何数学演算法必须由直觉来补充。
Any mathematical algorithms must be supplemented by heuristics.
受数学方法的影响，笛卡尔将直觉和演绎当作获得科学知识的根本方法，并进而用普遍怀疑对之进行修正和补充。
Under the influence of mathematics, Descartes regards intuition and deduction as the basic methods for acquiring scientific knowledge and then USES universal scepticism to revise and supplement it.
阐述直觉模糊S-粗集和直觉模糊S-粗集副集的数学结构与特性。
This paper expatiates the mathematics structures and characteristics of intuitionistic fuzzy S-rough-set and the assistant set of intuitionistic fuzzy S-rough-set.
阐述直觉模糊S-粗集和直觉模糊S-粗集副集的数学结构与特性。
This paper expatiates the mathematics structures and characteristics of intuitionistic fuzzy S-rough-set and the assistant set of intuitionistic fuzzy S-rough-set.
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