Five activities involving an array of numbers called an even triangle are given. Properties of the triangle are listed and some generalizations are proven. (MP)

Performance of over 200 third and fourth graders on a post test and a two-month follow-up measure showed that groups receiving lessons based on a task analysis instructional design performed significantly better than groups receiving placebo lessons at two levels of advanced mastery for the concepts, "equilateral triangle" and…

Using a pegboard and different colored pegs, students were able to visualize mathematical concepts, generate and solve problems, and test hypotheses. Illustrations included. (MA)

Paper squares, each divided into eight congruent triangles, can be used in a variety of activities introducing ideas related to symmetry, pattern, and geometric transformations. (SD)

Explains the use of the 3-dimensional analytic geometry method to find values for a field geology problem. Gives a description of the mathematical theory for this method which can be applied to data obtained by drilling as well as open surfaces, and a computer program. (RT)

Description of the field of robotics and its possible use in high school computational geometry classes emphasizes motion planning exercises and computer graphics displays. Eleven geometrical problems based on robotics are presented along with the correct solutions and explanations. (LRW)

Some research indicates that students often think that their drawings of three dimensional objects can be done without ambiguity, and that properties of drawings are properties of the objects. This "knowing vs. seeing" conflict was studied in three French sixth grade classes. (PK)

Described are ways teachers who are familiar with Logo can employ some special procedures (or programs) that allow students to explore and use traditional geometric topics within the context of the environment of Logo. The procedures are called MATHSTUFF and allow many traditional pencil-and-paper activities for middle and junior high school…

Three geometry games are presented. For each game, the game itself and the instructional objectives are discussed. (PK)

Argues that geometry games are potentially effective instructional activities for all grade levels--even high school. Three games and some suggestions for varying the games are presented. (PK)

Suggests a model for teaching mathematics with three dimensions: facts and skills, understanding, and problem solving. Geometric examples are used to illustrate each dimension and suggestions for integrating the teaching of the three dimensions are given. (PK)

Some examples are given of geometric exploration and problem solving in which Logo is the primary tool and turtle graphics is the mathematical environment. Students can explore and develop important patterns while building visual intuition. (MNS)

Develops a classification scheme for mathematical problem-solving activities. Presents problems generated in solid and plane geometry and fractions. (JM)

Activities focus on the use of computers as an instructional tool. Three worksheets provide experiences with: perimeter and areas of squares; area of parallelograms and triangles; and properties of triangles. A Logo computer program is included. (MNS)

Discusses research studies which examine why many capable students continue to avoid mathematics in school. The ideal mathematics student, sex differences, teacher behavior, student attitudes, and minority participation are among the areas considered. (JN)