國立臺灣師範大學教育心理與輔導學系Wu, L. J.Lai, S. C.Chang, K. E.Sung, Y. T.Hsiao,H. S.2014-12-022014-12-022012-12-01http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/40803The aim of this research is to develop a hands-on spatial geometry learning system to facilitate students’ geometry learning. The system is developed with Duval’s four critical elements of geometry apprehension including perceptual apprehension, sequential apprehension, operational apprehension and discursive apprehension. The system supports senior high school students in the process of spatial geometry problem-solving, allowing them to hands-on manipulate spatial geometry graphics and develop their visualization and mental imagery. In total, 58 participants from different classes were recruited. The experimental group used the hands-on learning system, whereas the control group followed the traditional paper-based approach. The study investigates the effects of the hands-on geometry learning system on students’ perceptual apprehension, sequential apprehension, operational apprehension, overall spatial geometry scores and learning attitude. The results revealed more learning attitude, and higher perceptual apprehension, sequential apprehension, operational apprehension in the experimental group.spatial geometrymathematicsmobile devicesmental imageryimagery and visualization.The Effect of Learning Spatial Geometry By Mobile Devices