The development of square units for area and cube units for volume is discussed with emphasis that switching focus from one physical property to another is involved as opposed to simply multiplying units. (MN)

An activity unit is described that helps children recognize the inside and outside of closed curves. (MP)

Some misconceptions about "squares" encountered among college students as they attempt to master appropriate subject matter in preparation for teaching elementary grades are presented. (MN)

Some practical, hands-on ways in which ideas about geodesic domes can be used in secondary school mathematics are described. Instructions for constructing a one-frequency geodesic sphere are given. (MP)

These worksheets, involving polygonal shape made with four hexagons, are given. Students are to develop problem-solving skills involving congruence and symmetry. (MP)

Three activities are provided for introducing career education into the mathematics classroom as well as the rationale for doing so. (JT)

Describes a unit in which students design a space station. Provided are a timetable for the unit, requirements for space-station manufacturing, and an outline of the unit. Lists nine references. (YP)

In this unit of the Seeing and Thinking Mathematically series, students use geometry to analyze buildings from around the world, design and build their own house models, create plans for their designs, and build from each other's plans. Students start out the unit building with cubes and later move to other geometric shapes. As they learn to…

A brief outline of instruction for one unit of informal geometry is covered. The problem solving unit described involves work with picture frames and includes many mathematical concepts. (MP)

Two computer exercises involving the classification of geometric figures are given. The mathematics required is relatively simple but comes from several areas--synthetic geometry, analytic geometry, and linear algebra. (MN)

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module, intended to present a treatment of congruent triangles which is not totally axiomatic, contains six sections: (1) Draw vs. Construct; (2) Triangle Construction; (3) Arguing for Congruence; (4) Parallel Line Construction; (5)…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module was conceived as an alternative approach to the usual practice of giving Euclid's parallel postulate and then mentioning that alternate postulates would lead to an alternate geometry or geometries. Instead, the student is led…

The purpose of this activity book is to provide fun while learning and reinforcing mathematics in the following categories: (1) mathematical concepts and applications; (2) mathematical computations; (3) geometry; and (4) mathematics for daily living. A gameboard and playing cards are provided in this book. A die, pawns, and a container for the…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The thrust of this module is to introduce the student to transformations by having the student physically transform sets of points. Heavy use of manipulatives is made to aid the student in the transforming activity. Individual sections…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module includes: (1) Pythagorean Theorem (with review of radicals); (2) Basic Coordinate Geometry (distance and midpoint, slope, slope of parallels and perpendiculars, and equation of a line); (3) Selecting Coordinates; (4) Coordinate…