Directions are given for activities that introduce students to determining the total surface area of rectangular prisms. A worksheet with 18 problems, plus a puzzle problem, is included. (DT)

Examines and analyzes occurrences of the English prepositions "at, "to, "on, and "in. Concludes that these prepositions are logically connected and their functions and meanings are comprehensible from the psycho-physiological experiences of man in space. (DS)

A summary of the changes in content and method taking place in secondary school geometry in South Australia. (MM)

It is noted that interest in tennis has risen dramatically. It is felt the knowledge and application of some basic geometric concepts can help improve tennis insight and competence and increase enjoyment. Tennis is seen as complex, and the view expressed is that anything simplifying mechanics or strategy is welcome. (MP)

Explorations of Pascal's triangle through computer programming are described. Programming offers different methods and techniques that enrich the topic. (MNS)

Three ideas are explored: (1) an improvement of the SSA congruence theorem for trigonometry; (2) a discussion of the failure of SSA in spherical geometry; and (3) an extension of SSA to spherical geometry and hyperbolic geometry. (MNS)

The effect of direction of motion on the difficulty of slides, flips, and turns for first, third, and fifth graders was examined. The study considered only students with no training in transformation tasks. The investigation found that the sex main effect was not significant. (Author/MP)

The material is designed to help students build a cone model, visualize how its dimensions change as its shape changes, estimate maximum volume position, and develop problem-solving skills. Worksheets designed for duplication for classroom use are included. Part of the activity involves student analysis of a BASIC program. (MP)

The problem involves randomly breaking a stick into three pieces and using the pieces to form a triangle. The probability of getting a triangle is calculated using four different solution methods. Two unique problem interpretations are noted, and one solution method involves a BASIC program. (MP)

Two orientation problems and six sample worksheets that stimulate students to use a complete conjecture-proving sequence are shared. The view promoted is that pupils can gain experience in conjecturing and in writing proofs that mirror their logical thinking through work with a careful sequence of activities. (MP)

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)