  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.
