A description of a planet in the shape of a cube where everything was built from squares and parts of squares is presented. The story is used as a background for several paper folding exercises that explore several geometric shapes. Solutions to the problems stated are included. (MP)

The problem of finding the maximum number of right angles a polygon can have, given the number of sides, is discussed in detail. (MP)

Relates the study of geometric forms to the chemical structures of organic compounds, discussing isomerism and the occurrence of regular solids in chemical phenomena. (CS)

Few people view or teach geometry properly--as one of the ways in which we try to communicate our surroundings and understand certain aspects of reality. (MP)

Using student achievement in geometry as an output, 17 Punjab (India) schools were dichotomized as productive or underproductive. The global and analytic picture of such schools was viewed in terms of process and structure variables associated with school, classroom, teachers, and students. (Author/SJL)

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)

Data from some geometric exercises administered during the 1977-78 mathematics assessment of the National Assessment of Educational Progress (NAEP) are analyzed, and suggestions for correcting student deficiencies are presented. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

The use of solid cardboard geometric shapes as molds to make candles is presented as a possible mathematics enrichment activity. (MP)

This article suggests: ways to teach algebraic properties; a way to prove the Pythagorean Theorem using transformational geometry; a method of packaging and carrying AC-powered calculators; and a method for teaching standard formulas. (MK)

Mnemonic devices to aid in the teaching of perimeter and circumference are suggested. (MK)

Details are given about some activities designed to help students convey three-dimensional objects into two-dimensional representations by constructing and drawing buildings of blocks. (MP)

Beginning with a set of design cards and a rectangular grid, students can generate interesting and colorful designs using rotations, reflections, and translations. (SD)

Describes how students in a 10th-grade geometry class discovered relationships that led to the development of conjectures, theorems, and directions of proofs regarding the centroid of a triangle. (ASK)

Presents an activity on the sum of the measures of the interior angles of a five-pointed star by using The Geometer's Sketchpad. (ASK)

Explores cognitive operations such as coordination, integration, and structuring as manifested in a spatial context. Relates spatial thinking to enumeration strategies. Interviews with 45 third graders and 78 fifth graders suggest that students initially see arrays of cubes as uncoordinated sets of faces, later as space-filling structures. (FDR)