This activity involved constructing parallelograms on the sides of an arbitrary triangle and discovering a relationship between the areas of the parallelograms. (MP)

A way that allows students to discover a strategy for determining the area of rectangles, squares, parallelograms, triangles, and trapezoids is described. Students use grid paper and scissors to determine the number of square units that cover a specified space. (KR)

Presents an extension of Pick's theorem for simple closed polygonal regions to unions of simple closed polygonal regions. Students are guided to discover Pick's theorem from sets of data including numbers of boundary points and numbers of interior points. (Author/MKR)

It is viewed understandable that many teachers consider fractions one of the most difficult mathematical topics to teach. School experiences need careful planning to include sequential activities which develop accurate concepts, and concepts are thought best developed by activities which move along the concrete-to-abstract continuum. (MP)

Presents several problems that use calculator or computer-generated graphs of the absolute value function as related to the maximum and minimum functions to illustrate the statistical concepts of range, median, mean, and variance. (MDH)

A series of modules designed for teaching energy concepts in a manner related to the classroom, school, and environmental settings is presented. The unit is seen as able to provide both teachers and students with a concept which has far-reaching implications. (MP)

Describes examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)

Offers LOGO as an environment that facilitates the development of cognitive strategies useful in problem solving. Presents LOGO activities requiring students to combine preprogramed procedures to produce worksheet patterns. Using this approach promotes using LOGO as a vehicle for problem solving and results in a more positive attitude toward LOGO.…

Proposes that problem scenarios are activities that give students opportunities to employ mathematics across the curriculum by asking them to define problems, identify information needed and potential sources of data, and make related conjectures. Discusses an example of a scenario involving transportation. (MDH)

Reports development and results of the Kramer Project, a two-year study of the implementation of a problem-solving, activity-based mathematics program in the elementary grades. Describes the mathematical content covered, participating teachers, instructional materials employed, inservice teacher training provided, and academic achievement gains of…

Provides a rationale for a learning environment in science classrooms that integrates science, mathematics, and technology while solving authentic problems. Describes activities that can be used in such an environment and presents data regarding students' attitudes toward the described activities. (MDH)