| 1. | A brief discussion on the socialization of the ideas of modern mathematics
浅谈现代数学思想的社会化 |
| 2. | Analyzing the factors contributing to the changes of modern mathematics education ideology in the east and west
近现代中西数学教育思想变迁之因素探析 |
| 3. | The understanding which emphasized with the overseas modern mathematics teaching theory in has the common idea
这与国外现代数学教学理论中所强调的理解有着共同的理念。 |
| 4. | The famous mathematical manifold is perhaps one of the most important scientific research tasks in modern mathematics as a whole
对总体分析来说，著名的数学流形或许是现代数学的一个最重要的课题。 |
| 5. | Proving the conjecture false would have cast doubt on much of modern mathematics ? and everything that depends on it
一旦证明猜想是伪命题，那将使人们对现代数学的许多部分产生质疑? ?当然也包括基于庞加莱猜想的一切。 |
| 6. | With vector ' s ( a new tool of modern mathematics ) being introduced into solid geometry , there arise some new ways of dealing with solid geometry problems
摘要向量这一现代数学新工具引入立体几何后处理立体几何问题，有了新方法、新途径。 |
| 7. | Full attention must be paid to theoretical research in the natural sciences , including such basic subjects as modern mathematics , high energy physics and molecular biology
要充分重视自然科学理论包括现代数学、高能物理、分子生物学等理论的研究。 |
| 8. | At the beginning of 20 * century , lebesgue rebuilt riemann integral and introduced lebesgue integral . with the development of modern mathematics , the concept of integral develops too
20世纪初，集合论的观点引起积分学的变革， lebesgue以集合测度概念为基础，对riemann积分的定义加以改造，建立lebesgue积分的概念。 |
| 9. | With the development and innovation of computer science > computer graphic and modern mathematics theory , some entirely new research directions , such as virtual reality ( vr ) and scientific visualization ( sv ) , are attracting more and more researchers
随着计算机科学、计算机图形学以及现代数学理论的不断发展和创新，以虚拟现实( vr ) 、科学计算可视化( sv )为突出代表的一些崭新的研究方向正吸引着越来越多的研究学者。 |
| 10. | Instructional design on mathematical problem solving is a systematic process applying theory and technology related to modern mathematics learning theory , mathematics instructional theory and psychology , diffusing theory and instructional media . to analyze instructional question of problem solving , to determine instructional objectives and requirement , to design strategic scenanrio , trying out scenario for instructional question resolving , to evaluate trying out result and improve design based on the evaluation
数学问题解决的教学设计是运用现代数学学习论、数学教学论与心理学、传播学、教学媒体论等相关的理论与技术，来分析问题解决的教学问题，确定教学目标和需要，设计解决教学问题的策略方案、试行方案，评价试行结果并在评价基础上改进设计的一个系统过程。 |
