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arXiv math/0609209math.HO
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研究数学的一些最新趋势及其与教学的联系:受科学和技术平行发展启发的案例研究

Some recent trends from research mathematics and their connections to teaching: Case studies inspired by parallel developments in science and technology

Palle E. T. Jorgensen

摘要:

我们将概述我们在核心数学学科教学的想法。它们是基于我们自己在美国和欧洲一些大学的教学经验。虽然一些核心思想在很长一段时间内保持相对稳定,但它们必须根据学生的需求和要求而变化,并且必须不断更新,以关注当前的研究和现代国际技术趋势。我们对这些趋势在教学中的使用的想法和建议已经被作者尝试过了,他们现在在教科书中,一些作者。

英文摘要:

We will outline our ideas for teaching in the core mathematics disciplines. They are based on our own experience in teaching at a number of universities in the USA, as well as in Europe. While some of the core ideas stay and have stayed relatively constant over a long period of time, they must be varied in accordance with the needs and the demands of students, and they must constantly updated keeping an eye to current research and to modern international trends in technology. Our thoughts and suggestions on the use of these trends in teaching have been tried out by the author, and they are now in textbooks, some by the author.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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