数值方法课程的主动学习模块

Matthew R Haney, Heather E Dillon, Jakob Kotas
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摘要

教育研究表明,在学习过程中接受更多种感官输入的学生将能够建立更多的联系,并更深刻地理解课程内容。为此,我们为计算数值方法课程设计了三个物理动手实验学习模块,以帮助学生培养对物理系统的直觉,允许将真实数据与物理方程的数值解进行比较,并提高学生的参与度。这些模块旨在加强数值方法课程中涵盖的特定主题,包括常微分方程的数值微分和数值解。前测试和后测试表明,学生的知识在模块完成后有所增加。此外,期末调查显示,绝大多数学生认为模块帮助他们可视化和理解关键的数值方法概念,并且大多数人有兴趣在未来学习类似模块的新材料。
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Active learning modules for a numerical methods course
Education research has suggested that students who receive a wider variety of sensory inputs during the learning process will be able to make more connections and more deeply understand course content. To this end, three physical hands-on laboratory learning modules were designed for a computational numerical methods course to help students develop intuition for physical systems, to allow for a comparison of real data against numerical solutions of physics equations, and to increase student engagement. These modules were designed to reinforce specific topics covered in the numerical methods curriculum, including numerical differentiation and numerical solution of ordinary differential equations. Pre- and post-tests showed an increase in student knowledge after module completion. In addition, end-of-term surveys showed that a strong majority of students believed modules helped them visualize and understand key numerical methods concepts, and that most would be interested in learning new material with similar modules in the future.
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