数学

Through analysis of the basic diathetic requirements that the reformation of maths education in high school in the twentyfirst century has set for teachers of maths of high school, authors of the thesis have outlined the goals of maths education in teachers′universities for the maths education major students.

本文从分析二十一世纪中学数学教育改革对数学教师的基本素质要求出发，提出师范院校数学教育专业的培养目标，并以此为基础，分析了现行数学教育专业课程体系的现状，找出课程体系改革中应处理好的几个问题，提出了以模块为基础的数学教育专业课程体系改革的初步设想。

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。

Because Richard Skemp is a mathematical educationist and psychologist, he can base his study on the intersection between the mathematics and psychology to deeply explore the relationship and effect between the psychology problems of mathematics study and mathematical problems.

由于斯根普是一个心理学家兼数学教育家，因此他能立足于数学与心理学的交叉点上，深刻探讨数学学习中的心理学问题与数学问题的相互关系和作用，他的著作《数学学习心理学》影响很大。

Because Richard Skemp is a mathematical educationist and psychologist, he can base his study on the intersection between the mathematics and psychology to deeply explore the relationship and effect between the psychology problems of mathematics study and mathematical problems. His works, Psychology on Math Study, has a great effect to others.

由于斯根普是一个心理学家兼数学教育家，因此他能立足于数学与心理学的交叉点上，深刻探讨数学学习中的心理学问题与数学问题的相互关系和作用，他的著作《数学学习心理学》影响很大。

So in mathematic teaching of the middle school, the teachers must pay alien lion to lnatlieinalic thinking process teaching, behaves that teachers ignore oppress students' thinking process of mathematic; Some teachers adopt the in pouring teaching arid the tactics of many as apperceiving and reagnition. Moreover, some teachers regard the thinking of mathematic as formal logic thinking.

因此，在中学数学教学中，教师必须注重学生的数学思维过程及其培养，然而实际教学的缺陷之一，却恰好表现为忽视或压抑学生的数学思维过程：有的教师采用注入式和题海战术，把数学的学习仅仅看成感知和再认；有的教师把数学思维活动仅仅看作形式逻辑思维，而忽视了从整体看问题的辩证的、发展的思维活动。

This thesis,under the guidance of the mathematical methodology,dis- cusses the lelationships between the wethods and knowledge in mathematics teaching.

根据现代数学的要求，数学内容应包括：数学知识和数学方法两个部分。数学教学的内容当然也不外乎这两方面。

One of the content is using efficiently multimedia computer and maths software in teaching process,and potentiating the geometrical teaching by all appearances, translating the difficulty of knowledge, strengthening the understanding of concepts. Another content is how to carry out the maths experiments, how to set up the problem for student.

研究的主要内容使如何有效地利用多媒体及数学应用软件，加强高等数学的几何直观教学，化解知识的难点，加强概念的理解；开设数学实验，创设探索数学问题的情景，培养学生探索数学问题的习惯和能力。

Technical talk about mathematics – trying to understand mathematics in terms of mathematics or mathematical philosophy – has the effect of isolating mathematics from the turn to practice, experience, and shared meaning and "spiritualizing" the technical.

从技术上说，谈论数学――试图按照数学或者数学哲学理解数学――就会将数学与实践转向、经验转向或者共享意义隔离开来，并将技术上的事情精神化）。

The base of this point is that firstly, math has become the base of natural science, social science and behavioural science, and the content, ideology and other elements of math have been widespreadly applied to our social life; secondly, math plays a key role in improving the scientific and cultural qualities of a nation because it not only provided us with applying technology but also gibes people capability; thirdly, one of the weak line in math education is the cultivation of the ability of self-supervision and self-control.

另一方面，数学教育应着眼于人的文化素质教育已成为人们对数学教育认识的一个新变化点。这一点是基于：1、数学已成为自然科学、社会科学和行为科学的基础，数学的内容、思想等在人类社会生活中已经得到广泛的应用；2、数学在提高一个民族的科学和文化素质上起着非常关键的作用，他不仅给予应用技术，而且也给人以能力。

Our curriculum reform has arrived at its critical period, classroom-oriented maths teaching can not meet \the senior high-school's maths teaching meeds, so how to make maths activity-centered education theory better helps our senior high school's maths teaching is a difficult probbem facing the maths theoreticians and teachers.

我国的新课程改革正处在关键时期，仅局限于数学课堂教学已不能满足高中数学教学的需要，如何搞好数学活动课教学，更好地为高中数学教学服务，是摆在数学理论工作者和实践工作者面前的一道难题。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。