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)

This study examined gender-related issues in four Canadian and Asian education systems based on algebra and geometry achievement data. Results suggested that each system affected the academic achievement of males and females in similar ways, although one gender might be affected more seriously than the other. (SM)

Describes how a software package that includes a spreadsheet, a relation grapher, and a dynamic geometry can contribute to teacher training through an exploratory problem-solving course. Discusses the ways in which technology-rich environments enhance and extend traditional topics. Contains 17 references. (DDR)

Examines existing research literature which suggests that introducing computing tools can help students focus on the relevant aspects of a problem, function at higher levels of geometric understanding, distinguish between drawings and constructions, and develop and reason about conjectures on the basis of generalization of patterns. (KHR)

Presents materials and methods that maintain student interest and encourage them to think creatively, develop mathematical reasoning, and look at problems from different perspectives, all within an open-ended approach to problem solving. Includes questions for discussion. (KHR)

Describes the angles-of-a-star problem designed to find the sums of the measures of the angles at the vertices of a five-pointed star. Shows that a good problem may have many correct solutions. (KHR)

Describes activities that use geoboards to explore properties of polygons such as the relationship between a polygon's number of sides and the sum of its interior angles. Describes a generalized method for constructing any Pythagorean triangle. (DDR)

Describes the habits of mind that would be most desirable for students to develop. In high school for example, content-specific habits would include geometric habits of mind that support the mathematical approaches, and algebraic ways of thinking that complement the geometric approaches. (AIM)

This activity involves students investigating the mathematics of packaging and exploring various concepts in geometry, including area and the Pythagorean theorem. Mathematics comes out of the discussion of packaging cans into six-packs and focuses on the cost-effectiveness of the horizontal storage area used. Students learn how knowledge of…

Argues that genuine problem solving and investigation on the part of pupils rarely occurs in mathematics classrooms in Hong Kong and other Asian countries. Provides a rationale for drawing problems from the content of a curriculum or syllabus. (DDR)