Planned experiences for exploration of materials are suggested for introducing geometric concepts. Examples discussed include motion, symmetry, and shape. (MP)

Activities are presented that permit students to gain firsthand experiences with ideas about two-dimensional and three-dimensional shapes and volume that textbook exercises rarely provide. (MP)

Preschool children copied peg locations with standardized comparison pegboards aligned horizontally and diagonally and with three levels of pegboard complexity. Error patterns varied with type of alignment and display complexity. Results failed to support Bryant's hypothesis that mirror image confusions are no more frequent than other in-line…

The author focuses on encouraging pupils to think in an open way through his discussion and illustrations of activities involving geometric shapes. (MN)

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

Worksheets are presented by grade level that give practice in comparing and measuring areas. (MP)

The solution of cubic equations is obtained by constructing intersecting conic sections. Details for a particular cubic are given. (MP)

An approach to the proof that not all angles can be trisected which is elementary enough to present to senior level high school students as well as undergraduates is given. (MN)

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)

The author gives a three dimensional analog of Pascal's Triangle as an exercise in heuristic thinking and an introduction to the multinomial theorem. The analog involves finding the number of shortest routes to various rooms in a cubical apartment house. (MN)

Three constructions using thread are given for the hyperbolic paraboloid in addition to a method for constructing an approximation for the third-order saddle surface. (MN)

This essay discusses the sketching and transformation of parabolas and other curves as areas where learners can exercise and develop control of their mental imagery. (MN)

Relationships between the linear dimensions, surface area, and volume of parallelepipeds are examined. (SD)

This article examines the Pythagorean Theorem from a geometric point of view by suggesting some natural extensions of the theorem. The use of a more general theorem to prove a difficult one is suggested, where possible. The article includes figures and proofs. (Author/MA)

The author illustrates a method for the construction of the eight deltahedra, using cardboard and rubber bands. (MN)