Learning Spatial Transformations and their Math Representations through Embodied Learning in Augmented Reality
Learning Spatial Transformations and their Math Representations through Embodied Learning in Augmented Reality
复制标题
通过增强现实中的具身学习来学习空间变换及其数学表示
DOI：
10.1007/978-3-031-05675-8_10
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Yan, W.
中科院分区：
文献类型：
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作者：
Shaghaghian, Z.;Burte, H.;Song, D.;Yan, W.
在计算机辅助设计、计算机图形学、机器人等课程中，由于数学知识的缺乏，学生对三维建模软件的使用效率不高、不熟练。缺乏知识和技能可能导致学生在不了解算法和数学的情况下通过试错来使用建模软件。空间/几何变换被认为是学习三维建模软件的关键因素之一。本文介绍了一款新开发的教育增强现实（AR）移动应用程序，通过游戏帮助学生直观地学习变换矩阵的几何推理和相应的三角方程。该应用程序在初级和高级水平上开发，旨在通过自学方法促进对空间变换及其数学表示的基础知识的理解。一项针对7名小学本科学生的试点用户研究结果显示，在使用该应用程序后，学生的数学成绩有所提高。
In Computer Aided Design, Computer Graphics, Robotics, etc., students suffer from inefficient and non-proficient use of the 3D modeling software due to a lack of mathematical knowledge. Deficient knowledge and skills may lead students to use the modeling software through trial-and-error without understanding the algorithms and mathematics. Spatial/geometric transformation is recognized as one of the key factors in learning 3D modeling software. This paper presents a newly developed educational Augmented Reality (AR) mobile application to help students intuitively learn the geometric reasoning of transformation matrices and the corresponding trigonometric equations through play. The application, developed in primary and advanced levels, intends to facilitate the understanding of fundamentals of spatial transformations and their mathematical representations in a self-learning approach. The results of a pilot user study conducted on 7 undergraduate students for the primary level reveal that students’ math scores improved after playing with the application.