论文标题
CDIO-CT协作策略,用于解决系统建模和模拟中复杂的茎问题:解决数学摆时的例子
CDIO-CT collaborative strategy for solving complex STEM problems in system modeling and simulation: an illustration of solving the period of mathematical pendulum
论文作者
论文摘要
面向问题的STEM教育在培训学生的创新能力中起着重要作用。尽管受孕设计 - 实现 - 操作方法(CDIO)方法和计算思维(CT)是近十年来的热门话题,但仍存在两个缺陷:分别讨论了CDIO方法和CT,并且缺少了系统建模和模拟中的复杂茎问题的一般框架。在本文中,提出了一种基于CDIO和CT的协作策略,以通过一般框架解决系统建模和模拟中的复杂茎问题,其中CDIO与``如何做了''有关,CT是关于``如何思考''的,而项目的含义是``''''''''''。问题是要计算第一类的椭圆形成部分(CEI-1)。根据遇到的要求,可以为系统建模和仿真解决复杂的STEM问题的一般框架重复使用R&D项目。
The problem-project-oriented STEM education plays a significant role in training students' ability of innovation. Although the conceive-design-implement-operate (CDIO) approach and the computational thinking (CT) are hot topics in recent decade, there are still two deficiencies: the CDIO approach and CT are discussed separately and a general framework of coping with complex STEM problems in system modeling and simulation is missing. In this paper, a collaborative strategy based on the CDIO and CT is proposed for solving complex STEM problems in system modeling and simulation with a general framework, in which the CDIO is about ``how to do", CT is about ``how to think", and the project means ``what to do". As an illustration, the problem of solving the period of mathematical pendulum (MP) is discussed in detail. The most challenging task involved in the problem is to compute the complete elliptic integral of the first kind (CEI-1). In the philosophy of STEM education, all problems have more than one solutions. For computing the CEI-1, four methods are discussed with a top-down strategy, which includes the infinite series method, arithmetic-geometric mean (AGM) method, Gauss-Chebyshev method and Gauss-Legendre method. The algorithms involved can be utilized for R & D projects of interest and be reused according to the requirements encountered. The general framework for solving complex STEM problem in system modeling and simulation is worth recommending to the college students and instructors.