Presented are worksheets designed to provide experience in identifying, discriminating, and drawing geometric shapes; introduce area approximation or irregularly shaped figures; provide practice in estimating and determining areas of irregular plane regions; and provide experiences in making tile designs. (MP)

A discussion of a contest between the German mathematician Adam Riese and a draftsman involving the construction of as many perpendicular lines as possible in one minute leads to a review of some interesting constructions involving circles. It is suggested teachers challenge their students with the historic contest question. (MP)

The use of a ruler with two parallel Straight edges as a tool in geometric constructions is presented, based on ideas that are fairly standard in high school geometry courses. The constructions are seen as potential challenges that provide opportunities for inventiveness by students. (MP)

Activities used with gifted elementary students as part of a Title IV project are presented. The project was viewed to sharpen the analytical and investigative skills of participants, with both deductive and inductive critical thinking modes improved. It is felt everyone can reap tremendous benefits working with Soma. (MP)

The following ideas are presented: plans for constructing a calculator bin rack that provides a place for a school to store and charge calculators; a lesson in geometry based on a news article about salt containers; and a very simple approach to the concept of infinite geometric series. (MP)

Geometric construction problems are recommended as sources of stimulating exercises for mathematics classes. (MP)

Three teaching ideas are presented: (1) the use of "factor cards" to teach the concept of greatest common factor; (2) examples and tools used in student graphing in three dimensions; and (3) ways to use cuisenaire rods, cubes, and flats to discover binomial expansions. (MP)

Seven activities designed to lead students to the idea that the ratio of the perimeter of a square and its diagonal is a fixed number for all squares are presented. The activities are groundwork for preparing students for the ratio between the circumference and diameter of a circle. (MP)

A didactic principle of operative concept formation is described and explained. It is argued that this principle meets current demands for practical geometric activities with concrete forms and for the exploration of the primordial relation between geometry and reality. (MK)

The movement to modernize mathematics education is critically examined in the area of instruction of geometry. The author concludes that the elimination of deductive geometry should be reconsidered by mathematics teachers. (MP)

Tesselations and n-dimensional geometry problems are reviewed. The author discusses possible models which could be used to approach and understand these special aspects of geometry. (MP)

Spatial concepts are important to the development of many skills, including reasoning and problem solving. Here are guidelines for making geometry learning more effective for elementary-grade students. (Editor)

"Pure" geometry is promoted as instructional material suitable for enriching the education of the mathematically gifted student. Examples of mathematical and logical concepts that can be highlighted with geometric presentations are given. (MP)

Three teaching ideas are presented: a way to solve problems based on the attitude to the hypotenuse in a right triangle, some interesting applications of percentages in determining pay raises, and a flowchart guide for reducing polynomials. (MP)

Suggestions for outdoor mathematics activities include six each for primary-age and intermediate-age children. (MK)