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The number of abstract relations and visual graphics combine research, is an important mathematical thinking and problem solving A double-edged benefit "sword."

将抽象的数量关系与直观的图形结合起来研究,是一种重要的数学思想和一柄双刃的解题利"剑"。

Psychology}, the paper defines intuition as a cognitive ability to make immediate judgement without analyzing or reasoning and further analyzes the relation and difference between intuition, inspiration, insight, imagination and perceptual intuition, pointing out that mathematical intuitive thinking is a swift judgement on and imagination to the objects of mathematics and their relationship in structure which is featured by illogicality, directness, probability, randomness and unity and aids students in predicting conclusion or direction to solution as well as making definite choice between several options, Furthermore, the paper probes into the foundation of mathematical intuitive thinking in terms of psychological mechanism, and thereupon holds it necessary to develop students mathematical intuition in that it does good to the excitement of creativity, improvement of overall qualities, all- brain development and optimization of mathematical thinking among students.

而数学直觉思维就是人脑对数学对象及其结构关系的一种迅速的判断与敏锐的想象,并探讨了数学直觉思维的生理机理基础,总结其特征有非逻辑性、直接性、或然性、随机性、整体性和综合性。在解题时直觉能帮助学生对结论或解题方向做出预见,也可以在推理面临多种可能性时,帮助学生做出果断的选择。

A comparison is made between the electrostatic field and universal gravitation field to find out the very similarities between them.

在比较静电场与万有引力场相似性的基础上,归纳出相似性的本质,进而根据相似性由静电场中已有的公式、定理及解题方法推导出万有引力场中与此相似的公式、定理及解题方法。

We can find out the value of the tool from the survey result of the questionnaire, despite the inapparent result of using the tool.

尽管从两次的后测成绩显示,物理解题动画的成效并不明显;但从「学习感受问卷」可发现,解题动画就扮演课后辅助教材的角色而言,仍有其正面价值。

In the real life, have some to grow similarity since new problem and the old problem are general, unknown object and the known number object get in touch with always mutually, be on basis observing carefully in new problem , overwear knowledge , come to handle the new problem old experience, this thought is that process it is have purpose's , effective conversion contradiction, to solve a problem ultimately change solving problems that process , the mathematics inscribe one kind , is to change from saying , solving problems on this significance melt return to

中文摘要:在实际生活中,由于新老问题总有某种相似之处,未知的事物与已知的事物总是相互联系的,即在新问题仔细观察的基础上,用旧知识、旧经验来处理新问题,这种思维是一种转化过程,数学题的解题过程就是有目的的、有效的转化矛盾,最终解决问题,从这个意义上说,解题就是转化。

Influence of rewording verbal problems on children's problem representations and solution.

表徵策略教学对提升国小低解题正确率学生解题表。现之效果研究。

First, this text studies these problems in the process of saluting mathematics questions by the way of researching present condition of the supervisory and controlled ability.

首先,本文通过对初中生数学解题过程中自我监控能力现状的调查研究,探讨了初中生数学解题过程中自我监控能力存在的问题。

The students could use the thought of unitizing and norming about time and area to help figure out what to do when they solved problems. Among them some students had difficulty in understanding the relationship or operation related to that procedural.

三学生对时间、面积的「单位化」与「基准化」能力可帮助学生解题成功,然而该能力对学生是否能了解解题相关过程中的关系或运算,不见得是一个保证。

Thirdly, we examine a job scheduling problem, in which jobs could be processed by multiple in-line steppers. This problem includes two decisions: job assignment and job sequencing. Through developing a new and concise representation scheme for modeling the two decisions, we solve the multiple-machine scheduling problem by various meta-heuristic algorithms. The preceding single-machine scheduling problem in fact is a special case of the multiple-machine scheduling problem.

第三部分探讨在多机情境下,求解工件排程问题,在此情境下产生两个决策变数:工件指派给各机台,以及工件在机台内的排序问题;为了解决此问题,本研究透过新的染色体设计,能同时代表此两个决策变数,使得解题空间变小,求得更好的解题品质。

Based on practice, the author studied and understood Polya's thoughts on problem solving, and provided the original material of developing school-made teaching material, seeking ways of serving professional courses by math, which are to push the reformation of mathematics course in secondary vocational schools.

在实践的基础上,反复学习和认识波利亚的解题思想,根据数学学科的知识特点和结构,站在方法论的高度,结合新课标理念,运用波利亚解题思想来从事中职数学教育,切实发挥学生的主体作用,为研究职业学校数学校本课程开发、数学课为专业课怎样服务和推进中职校数学课程改革提供第一手的实践素材。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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The almost sure central limit theorem is a pop topic of the probability research in recent years,because it has many actual applications in the random analogue.

中文摘要:几乎处处中心极限定理是近几十年概率论研究的一个热门话题。它之所以引起人们的注意是由于它在随机模拟方面的实际应用参见Fisher