Inspired by the promise of new 3D technologies and the proposition that new tools make innovation possible, this article provides a case study of how a tool called Thirty6 was designed and used in classrooms by mathematics teachers in their own varied and invented ways. Unlike established manipulatives that are designed to support the learning of…

Perspective is a rich area for mathematical work, and one that should be accessible to many students, since it is based on the everyday experience of viewing the 3D world directly and through familiar 2D representations (drawings, photographs, images on a television or cinema screen, etc). A nice feature of perspective tasks is that they can be…

Describes a factorial experiment that is used as a laboratory exercise in a research methods course. Uses a Howard-Dolman depth perception apparatus, combining the factors of viewing condition and rod orientation to illustrate the nature of an interaction and the necessity of an additional analysis of simple main effects. (Author/LS)

Analyzes the research strategies, stimuli, subjects, statistical strategies, and relative variables in 34 empirical studies on children's representation of three-dimensional objects. The studies fell into three categories: children's representation of spatial relationships within an object, between two objects, and studies that included both. (MJP)