Research as a guide for teaching introductory mechanics: An illustration in the context of the Atwood’s machine

Research as a guide for teaching introductory mechanics: An illustration in the context of the Atwood’s machine
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研究作为入门力学教学的指南:阿特伍德机器背景下的示例

DOI:
10.1119/1.17740
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发表时间:
1994
影响因子:
0.9
通讯作者:
M. D. Somers
M. D. Somers
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
L. McDermott;Peter S. Shaffer;M. D. Somers

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在动力学教学的早期,经常引入阿特伍德机的问题,以演示牛顿定律在复合系统运动中的应用。在一系列初步研究中,在典型的基于微积分的课程中涵盖了这个主题后,检查了学生对阿特伍德机器的理解。对数据的分析显示,许多学生在加速度、内外力和弦的作用方面存在严重困难。本研究的目的是获得有关这些困难的性质和普遍性的更详细的信息,从而为设计更有效的教学提供一个良好的基础。调查的背景是一组相关的问题,涉及不太复杂的复合系统。具体的例子说明了如何这项研究,这主要是在课堂环境中进行的,已作为指导,在发展的教程材料,以补充讲座和教科书中的一个标准…
A problem on the Atwood’s machine is often introduced early in the teaching of dynamics to demonstrate the application of Newton’s laws to the motion of a compound system. In a series of preliminary studies, student understanding of the Atwood’s machine was examined after this topic had been covered in a typical calculus‐based course. Analysis of the data revealed that many students had serious difficulties with the acceleration, the internal and external forces, and the role of the string. The present study was undertaken to obtain more detailed information about the nature and prevalence of these difficulties and thus provide a sound basis for the design of more effective instruction. The context for the investigation is a group of related problems involving less complicated compound systems. Specific examples illustrate how this research, which was conducted primarily in a classroom setting, has served as a guide in the development of tutorial materials to supplement the lectures and textbook in a stan...