查询词典 constructive mathematics

The number shape is hit by mentality in common use combining with being that the mathematics solves problems , shape is can make some abstract mathematics problems perception-rization , pictorialize , vivid-rization in the thought being tied in wedlock , is able to change an abstratc thinking into the thinking in images , is helpful to the nature grasping the mathematics problem.

数形结合是数学解题中常用的思想方法，数形结合的思想可以使某些抽象的数学问题直观化、形象化、生动化，能够变抽象思维为形象思维，有助于把握数学问题的本质。

Through teaching the Pythagoras theorem and the make-square method of quadric equation with one unknown, the teaching practice of using mathematics history during mathematics teaching of the secondary school is researched deeply, so the educational value of mathematics history is embodied well.

第四、通过勾股定理的教学和一元二次方程的配方法的教学，更深入地进行了中学数学教学中利用数学史的教学实践研究，更好地体现了数学史的教育价值。

Mathematics with emotion is not self-contradiction in the mathematics teaching and education, whats more , it is an indispensable and important link inside mathematics teaching in high school .

本文重点从两个方面研究了中学数学教学中的情感教育：研究了情感教育在中学数学教学中的体现与作用。

The Mathematics of Egypt, Mesopotamia, China, India, and Islam:A Sourcebook, book review, history of mathematics, eastern mathematics

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In this study, we try to provide the examples of the application of mathematics to music; the application of golden ratio to musical structure; the calculation and derivation of Pythagoras scale、pure scale and twelve-tone equal temperament scale; the application and analysis of mathematics in fifth-degree co-generation method; and the two-dimension research of the interval and scale. These discussions apparently show the strong correlation of mathematics and music.

本文藉由数学与音乐的多元对话，探讨音乐领域中数学的应用范例；黄金比例在乐曲结构之应用；运用数学推演和计算毕氏音阶、纯律音阶和十二平均律音阶的组成；探讨五度相生律的应用范例与数学的密切关系；归纳和分析音程和音调的数学二元图表，在在都显示出数学与音乐密不可分的关系。

In order to solve some teaching problems of advanced mathematics, the authors of this paper advance whole teaching design, and attempt to expound it s principium with characteristics of mathematics and leaning mentality, then, calculous and part problems are exampled to explain the whole teaching design of advanced mathematics.

为解决高等数学教学存在的问题提出整体教学设计，从数学本身的特点和学生数学学习心理的角度阐述整体教学设计的原理，并以微积分和局部问题为例说明高等数学的整体教学设计。

Namely,"how to teach mathematics course in realtion to other subjects","how to improve our classroom teaching patterns","how to strengh students mathematics co -mmunication in classroom teaching","how to enlight students understanding math- ematics with mathematics experiments","how to implement assessment on teachers and students".

第二部分，中、美课例的对比研究，分别从如何进行课程整合、如何改进我们的课堂教学模式、如何促进学生的数学交流、如何在课堂上运用数学实验促进学生的数学认知、如何在课堂上评价教师的课堂教学等五个大的方面进行了同一教学内容的比较。

In the New Course Standard, the developing of students' awareness of mathematics application is particularly regarded as an very important aspect.Asking the pupils can undstand that there are a great deal of mathematics info and flot applications at fruit subsistence.affront fact issue,they can initiative try tolook after the resource of resolveing;To newinformantion of mathematics,threy can looking after for the prarctice of background.

新课程标准中特别强调了把增强学生的应用数学的意识作为总体目标的一个重要方面，要求学生能认识到现实生活中蕴涵着大量的数学信息、数学在现实生活中有着广泛的应用；面对实际问题时，能主动尝试着从数学的角度运用所学知识寻求解决问题的策略；面对新的数学知识时，能主动地寻求其实际背景，并探索其应用价值。

In order to clarify the real state of intercourse between Chinese and western mathematics, and how western, mathematics developed unbendingly after Qingdynasty emperor Yongzheng issued degree to avoid the west missionary delivering sermons, and the development of west mathematics in Qing dynasty found a firm base for the second Xinxue import.

第四、五、六章探讨了在西学输入的第二次大潮中，新学发展的三个阶段。

Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics?

即使数学和物理学几个世纪以来有关并且这关系看起来是unproblematic，有很多问题仍然打开：数学对于物理学真的必要，还是物理学能没有数学而存在？

Finally, the Knight strung a line between two of the monoliths and tied the horses up there.

最后，骑士们在两颗巨石之间拉了一条绳子，将他们的座骑绑在上面。

T7zN/hyS0 The island lies south by east from here.

那个岛位于此地的正南偏东方向。