We consider here a number of ideas for the classroom or lecture theatre associated with the mensuration of solids. In particular, the volumes of various tetrahedra are obtained in an indirect manner (by way of prisms and square-based pyramids). This activity develops problem-solving skills, spatial visualization and a from-first-principles…

Describes an activity for children of any age to develop spatial sense and explore the effects of transforming, combining, subdividing, and changing geometric figures. Students analyze empty cereal boxes opened flat to determine the specific shape, how it opens and closes, to check maps or sketches against the actual geometry of the box, and write…

Describes three activities of imaging, including constructing an image, representation-presenting the image, and transforming the image. Discusses a link between imaging and number sense, teaching students to image, and assessing imaging. Contains 25 references. (ASK)

Presents four activities in which students cut out and assemble pieces to create Celtic designs. (ASK)

Presents a problem of tetras made with four cubes, mathematical ideas involved in this problem, and guiding questions for teachers. (KHR)

Illustrates the use of a course focused on developing 3-D spatial skills at Michigan Technological University. Provides data to support the recommendation that some students take the spatial skills course before enrolling in the regular engineering graphics courses. (DDR)

Answers several questions regarding background information on research in spatial skills. Describes strategies that graphics educators can adopt to develop these skills in students. (Author/CCM)

Uses spatial visualization to make connections among Zeno's paradox, geometry, fractions, infinite series, and limits. (YDS)

Calculus students have great trouble visualizing solids of revolution and their cross sections. Illustrates the use of props in order to help students understand the solid revolution. (ASK)

Discusses the need for three-dimensional ideas in geometry. Describes a three-year sequence of projects that help develop students' spatial skills. (ASK)

Describes new geometric computer models used in contemporary computer-aided design (CAD) software including wire frame, surface, solid, and parametric models. Reviews their use in engineering design and discusses the impact of these new technologies on the engineering design graphics curriculum. (Author/CCM)

Describes how to deal with students' structuring of rectangular arrays of squares and other two-dimensional regions. Presents activities that connect spatial structuring to the development of multiplicative thinking. (ASK)

This series of activities on spatial relationships was designed to help users acquire the skills of spatial visualization and orientation and to improve their effectiveness in applying those skills. The series contains an introduction to spatial orientation with several self-directed activities to help improve that skill. It also contains seven…

Presents a ping-pong activity to teach the coordinate plane that puts students in a position to experience and relate to the coordinate plane in a manner that evokes their visual, spatial, and physical senses while linking the plane with a familiar object. (ASK)

Presents interesting activities to develop mental imagery and the ability to transform these images. Concludes that using images facilitates mathematical thought in numerical and geometric settings. (ASK)