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数学化

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In the situation, this paper brought up the risk analysis and evaluation method on the basis of intelligent control and network communication technology for Network Communication System. The risk analysis and evaluation of Network Communication System firstly discussed the character of network communication and its risk. At the following we estimate a risk evaluation model according the distribution of the systems risk by time and space. Otherwise, we combined Fuzzy Comprehensive Evaluation with Analytic Hierarchy Process, and set up the multi-grade fuzzy comprehensive evaluation model for Network Communication System.

该方案主要通过讨论网络通信系统及其风险的特性,根据风险的时间和空间分布规律,以"风险"为整个网络通信系统安全模型的评估和分析对象,确立网络通信系统风险分布的量化评估模型,同时,就不同区域和不同时段的风险通过引入层次分析的一般方法来确定它们的权重系数,最后,通过模糊综合评判法则对系统中模糊不确定性因素进行数学化的抽象,建立一个反映其本质特征和动态过程的理想化的数学评估模型。

Realistic Mathematics Education and Multiple Intelligences Inspired Education — A Study of Mathematization in School Mathematics (ICMI-15 Study).

现实数学教育与多元智能教育:学校数学中的数学化思想ICMI-15 研究计划

The article takes mathematization as the characteristic of neoteric science by starting from the background of 17th century's philosophy of the nature and reviewing three aspects.

本文从考察十七世纪数学的自然哲学背景出发,从基于毕达哥拉斯传统的自然图景的数量化和基于基督教传统的宇宙图景的机械化,以及基于欧几里德传统的物理学科体系的演绎化等三个方面更加具体地考察了近代科学的数学化特征。

So I expect to find a way through my survey and research to cultivate the students' ability of mathematization from solving the real problems ,to cultivate their ability of organizing their Math knowledge and complete their constructs of Math knowledge ,and establish a Math basis of the students' life development . This paper consists of three parts : Part One : The concept of Mathematization .

对此,我期望通过调查和研究的方式探索出一条小学生利用解决实际问题培养"数学化"能力的途径,培养学生对掌握的相关数学知识进行数学化组织,建构完善的数学认知结构,为学生的终身可持续发展奠定良好的数学基础。

We should not deny mathematization of economics in the face of the complexity of economic phenomenon or just because of occasional successes achieved by some economists without using mathematics. Mathematization will become a mainstream. Meanwhile, it would be better to form a multi-layer pattern for economic research approaches.

不能因为经济现象的复杂性、部分经济学家不用数学同样取得成功来否定经济学数学化,经济学数学化会成为一种主流趋势,同时,经济学研究的方法也应该形成一个多元化的格局。

The second chapter is to analyze Freudenthal's thought of mathematics education in brief, and summarize four principles: realistic mathematics, mathematization, thinking and recreation. The next two chapters are case studies, the intention of which is to test the efficiency and practical value of Freudenthal's thought of mathematics education.

归纳了他数学教育思想中的四条原则:数学现实、数学化、反思和再创造论文第三、四两章属于实证研究,通过这两章对弗赖登塔尔数学教育思想的有效性和实践性进行验证。

We should not deny the role of mathematization in economics due to the complexity of economic phenomena or the successes achieved by some economists not use mathematics.

不能因为经济现象的复杂性、部分经济学家不用数学同样取得成功来否定经济学数学化,经济学数学化会成为一种主流趋势,同时,经济学研究也应该形成一个多元化的格局。

The new curriculum emphasizes mathematics and the real life relation, but also proposed specially mathematics teaching is mathematics activity teaching, is also lets the student career mathematization process the activity, lets the student embark from own mathematics reality, catches mathematics question with mathematics judgment in the life, utilizes mathematics knowledge analysis life phenomenon on own initiative, thus solves the actual problem which independently in the life meets.

新课程强调数学与现实生活的联系,还特别提出了数学教学是数学活动的教学,也就是让学生经历数学化过程的活动,让学生从自己的数学现实出发,用数学的眼光在生活中捕捉数学问题,主动地运用数学知识分析生活现象,从而自主地解决生活中所遇到的实际问题。

The essay also treats significance of this method in maths of high school education. It puts forward teaching strategy about how to emphasize maths transformation method, that is to place emphasis on basic knowledge, perfect knowledge structure, develop the transformation method, and improve the ability of transformation. We also base on our text books, and epurate and summarize the basic teaching strategy in our work.

接下来,论述了化归思想方法在中学数学教学中的意义,最后结合个人教学实践,提出了加强数学化归思想方法的教学策略,即夯实基础知识,完善知识结构;培养化归意识,提高转化能力;掌握化归的一般方法;强化通性通法教学;深入教材,反复提炼与总结等基本教学策略。

Second, mordern science investigates Nature only through mathematical way, which make people take the mathematical nature for Nature itself. Third, its result is physicalistic objectivism was seen as the metaphysical foundation of natural science which has led to the riddle of cogni...

本文认为,胡塞尔的科学批判虽具有重要启发意义,但从科学和科学哲学的角度来看,他的批评在某些方面是不恰当的:①实证主义科学观固然不是健全的科学观,但现代科学自身却不是意义、价值等形而上学的领域;②尽管数学化的自然并不是自然本身,但数学化却是现代科学最有效、最可靠的方法;③胡塞尔反对任何实在论的自然观,但这种自然观是现代科学世界观的基础。

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