Mathematics education often grapples with the challenge of teaching abstract mathematical concepts, particularly those existing in 3D space. Visualizing, manipulating, and comprehending these abstract objects can be a formidable task for learners. While 3D printing technology has found applications in various fields, its utilization in mathematics…

Spatial discontinuity between causes and effects is a feature of many scientific concepts, particularly those in the environmental and ecological sciences. Causes can be spatially separated from their effects by great distances. Action at a distance, the idea that causes and effects can be separated in physical space, is a well-studied concept in…

This study compared the spatial-geometrical abilities of 85 students (ages 5-13) with learning disabilities (LD) and 94 children without LD, matched for IQ and age. Generally, students with LD did not perform as well as same-aged students without LD, suggesting that LD students experience delayed development in this general spatial-cognitive…

A two-year study randomly assigned children (K-grade 2) with advanced mathematical skills (n=276) to two groups, an intervention group reflecting a constructivist approach or a control. Boys gained more than girls on quantitative and visual-spatial measures in the control, whereas the intervention group made greater gains in quantitative measures…

Discusses a variation on tiling that offers opportunities for the construction of the fundamental mathematical concept of constructing abstract units called "unitizing." Tiling integrates geometric and numerical settings to develop spatial sense and present mathematics as constructing patterns. (MDH)