Understanding spatial transformations and their mathematical representations are essential in computer-aided design, robotics, etc. This research has developed and tested an Augmented Reality (AR) application (BRICKxAR/T) to enhance students' learning of spatial transformation matrices. BRICKxAR/T leverages AR features, including information augmentation, physical-virtual object interplay, and embodied learning, to create a novel and effective visualization experience for learning. BRICKxAR T has been evaluated as a learning intervention using LEGO models as example physical and virtual manipulatives in a user study to assess students' learning gains. The study compared AR (N=29) vs. non-AR (N=30) learning workshops with pre- and post-tests on Purdue Visualization of Rotations Test and math questions. Students' math scores significantly improved after participating in both workshops with the AR workshop tending to show greater improvements. The post-workshop survey showed students were inclined to think BRICKxAR/T an interesting and useful application, and they spent more time learning in AR than non-AR.

翻译：在计算机辅助的设计、机器人等中,了解空间变异及其数学表现至关重要。这一研究开发和测试了一个增强现实(AR)应用软件(BRICKxAR/T),以加强学生对空间变异矩阵的学习。BRICKxAR/T利用AR的特征,包括信息增强、物理-虚拟物体相互作用和体现的学习,以创造创新和有效的可视化学习经验。BRICKxAR T被评价为学习干预措施,将LEGO模型作为评估学生学习成果的物理和虚拟操控模型。研究将AR(N=29)与非AR(N=30)的学习讲习班进行比较,同时进行关于升级测试和数学问题纯度测试前后的学习讲习班。学生在参加两次讲习班之后的数学得分都大为改善。后,讲习班的调查显示学生倾向于认为BRICKXAR/T是一种有趣和有用的应用,他们花在AR上的时间比非AR更多。