Research reveals that many mathematics teachers find it difficult to stimulate learners' interest in learning geometry. One major reason suggested is that geometric concepts are not well conceptualised and comprehended by both learners and teachers. The study explored learners' views on how polygon pieces and dictionary mediate learning of…

Middle school mathematics teachers often do not emphasise statistics and geometry in their lesson plans for a variety of reasons. However, these are integral topics in mathematics, and using direct lecture or hands-on activities may have different effects on teacher confidence when approaching these subjects. Using qualitative and quantitative…

We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…

The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important concepts of geometry and calculus. This article describes how an origami box can be folded, then it goes on to describe how its volume and surface area can be calculated. Finally, it describes how the box could be folded to…

The triangle congruence conditions are a central focus to nearly any course in Euclidean geometry. The author presents a hands-on activity that uses straws and pipe cleaners to explore and justify the triangle congruence conditions. (Contains 4 figures.)

Four geoboard activities for elementary school students are described. (SD)

A classroom activity is described where students divided circular regions into equal sections and reassembled them to determine the formula for the area of a circle. Using an odd number of sections (Instead of an even number) changes the shape of the reassembled pieces but still gives rise to the same formula. (MN)

Activities are described that involve polyhedrons constructed with a marble inside enabling them to roll across a smooth surface. Directions are given for constructing such a tetrahedron. (DT)

This report describes a program for increasing adolescent visualization and understanding of geometry problems. The targeted population consisted of high school students in two geometry classes in a growing middle-class community. The inability of students to adequately visualize and understand geometry problems was documented through teacher-made…

Angle measurement activities utilizing tinker-toys, geoboards, and paper-and-pencil constructions are given which could be used with children prior to the development of the degree concept. (MN)

Construction of a series of 13 nested, regular tetrahedrons from 12 square sheets of paper without using geometric instruments, scissors, or glue is described. (MN)

The relationship between area and perimeter is presented through a series of laboratory-type activities and demonstrations. (SD)

Several activities in which students use geometric shapes and their shadows to study geometric concepts are described. (SD)