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力学与实践 ›› 2020, Vol. 42 ›› Issue (1): 75-79.doi: 10.6052/1000-0879-19-272

• 教育研究 • 上一篇    下一篇

通识课"混沌与非线性思维"建设

陈立群1)   

  1. 上海大学力学与工程科学学院,上海 200444
  • 收稿日期:2019-07-29 发布日期:2020-03-13
  • 通讯作者: 1) 陈立群,教授,主要研究方向为振动控制和非线性动力学。E-mail: lqchen@shu.edu.cn

THE GENERAL EDUCATION COURSE CHAOS AND NONLINEAR THINKING

CHEN Liqun1)   

  1. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
  • Received:2019-07-29 Published:2020-03-13

摘要: 为探讨非线性动力学的普及化和整合科学新进展加强通识教育课程,本文总结和分析了通识教育课"混沌与非线性思维"的设计与实践。非线性动力学现在已经成为人类知识的一部分。"混沌与非线性思维"是为上海大学所有学生(包括理工、经营和人文三大类)开设的通识教育课。该课程聚焦于混沌的科学概念和文化影响,非线性不仅作为数学模型也作为思维模式。该课程帮助学生从非线性思维角度观察、分析和理解自然和社会中的不可预测和不确定现象。教学实践表明,非线性动力学可以恰当的方式普及而成为通识教育课程的实质性内容,并为各专业的本科生接受。

关键词: 混沌, 非线性, 通识课, 教学, 力学史

Abstract: In order to popularize the nonlinear dynamics and to improve the general education by integrating the new scientific achievements, the paper summarizes and analyzes the design and the practice of the course "Chaos and Nonlinear Thinking". Nonlinear dynamics nowadays becomes a part of the general human knowledge. The course "Chaos and Nonlinear Thinking" is intended for all three categories of students, namely, those majored in science and technology, economics and management, as well as humanities, in Shanghai University. The course involves the scientific concepts of chaos and its cultural impacts. Nonlinearity is treated not only as a mathematical model but also a thinking mode. The course encourages the students to observe, analyze, and understand unpredictable and uncertain phenomena in nature or society via the nonlinear thinking. The teaching practice demonstrates that the nonlinear dynamics can be appropriately popularized for undergraduates in all fields to form a substantial part of a general education course.

Key words: chaos, nonlinearity, general education, teaching, history of mechanics

中图分类号: 

  • O312