DiffGame：基于游戏的物理数学学习
DiffGame: Game-based mathematics learning for physics
摘要：
微分是一种应用于整个科学的数学技巧，用于描述函数相对于因变量的变化。因此，对分化的直观理解是必要的，以便与用于描述高等教育中物理系统的数学框架一起工作。为了获得这种直觉，需要反复的实践。本文介绍了DiffGame的开发，它由一系列练习组成，通过类似游戏的元素为高中生介绍分化的基本原则。DiffGame在丹麦一所高中的117名一年级学生中进行了测试，这些学生之前没有接受过任何分化培训。学生们的学习是通过直接从DiffGame获得的数据来评估的。该测试证明了DiffGame的有效性，因为各级学生都表现出学习上的收获。与以往的研究表明，大多数学习在低年级学生，中间层的学生（基于整体表现）表现出最大的学习收益。
英文摘要：
Differentiation is a mathematical skill applied throughout science in order to describe the change of a function with respect to a dependent variable. Thus, an intuitive understanding of differentiation is necessary to work with the mathematical frameworks used to describe physical systems in the higher levels of education. In order to obtain this intuition repeated practice is required. This paper presents the development of DiffGame, which consists of a series of exercises that introduce the basic principles of differentiation for high-school students through game-like elements. DiffGame have been tested with 117 first-year students from a single Danish high school, who did not have any prior training in differentiation. The students' learning was assessed by the data obtained directly from DiffGame. The test demonstrated the efficacy of DiffGame, since students at all levels demonstrate a learning gain. In contrast to previous studies demonstrating most learning in the lower tier of students, the middle tier of students (based on overall performance) exhibits the largest learning gains.
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。
