协调矢量场方程和图表与一个严重的游戏在介绍物理学
Coordinating vector field equations and diagrams with a serious game in introductory physics
摘要：
数学推理与代数和图形表示是必不可少的物理课程的成功。许多问题需要学生流利地在代数和图形表示之间移动。我们开发了一个免费的严肃游戏，以挑战入门学生关于向量场的代表性流利性。在游戏中，使用不同类型的矢量场来解决交互式难题，这些矢量场必须配置正确的数学参数。游戏中的奖励系统防止使用试错法，而是鼓励玩家在采取任何行动之前在向量场的图形表示和（代数）方程之间建立心理联系。对于正确的解决方案，玩家可以获得积分，并可以解锁更多的关卡。我们从教育的角度报道了游戏的目的，描述了潜在的学习场景，并反映了第一次尝试在课堂上使用游戏。
英文摘要：
Mathematical reasoning with algebraic and graphical representations is essential for success in physics courses. Many problems require students to fluently move between algebraic and graphical representations. We developed a freely available serious game to challenge the representational fluency of introductory students regarding vector fields. Within the game, interactive puzzles are solved using different types of vector fields that must be configured with the correct mathematical parameters. A reward system implemented in the game prevents from using trial-and-error approaches and instead encourages the player to establish a mental connection between the graphical representation of the vector field and the (algebraic) equation before taking any action. For correct solutions, the player receives points and can unlock further levels. We report about the aim of the game from an educational perspective, describe potential learning scenarios and reflect about a first attempt to use the game in the classroom.
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。
