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…

Takes the concept of using a geometrical or visual approach to teach algebraic concepts and extends it to connect with the section on binomial expansion by using three dimensional objects. (ASK)

Presents activities in a context that promotes connections between students' experiences and new content and provides visual and/or physical links between informal knowledge and formal math ideas. (YDS)

Presents the Shape Search problem to develop student visualization. Focuses attention on the National Council of Teachers of Mathematics (NCTM) Geometry Standard. (Author/NB)

Describes how elementary school teachers demonstrated for themselves and their students how using simple drawings and visualization can improve problem-solving ability. (ASK)

The graphing calculator affords the student in analysis a powerful tool to extend visualization, which was previously limited to textbook illustrations and time-consuming constructions. Provides illustrative examples used in initial classroom presentations of several topics including convergence and in student explorations of these topics. (ASK)

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

Presents problems designed to focus student attention on the visual representations that accompany the verbal statements of problem situations involving motion over a period of time. Shows that as a result of engaging in these activities, students gain a better understanding of a given problem situation before they apply procedures to answer…

Presents and discusses examples that can be used to develop the concept of slope as a rate of change through three modes of learning: (1) visualization, (2) verbalization, and (3) symbolization. (ASK)

The author recounts experiences introducing a first grade class to the concept of symmetry. The lesson includes activities for developing recognition of objects that have symmetry as well as visualization of both horizontal and vertical lines of symmetry.

Provides opportunities for children to develop visual images of the number situations they are exploring in order to develop powerful number sense. Illustrates two visual teaching aids to help young children develop number images. (ASK)

Develops a method for visualizing the complex roots of a polynomial equation. Illustrates some quadratic or cubic polynomials and their solutions. (KHR)

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)