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)

Introduces a toy, the Educated Monkey, developed to help students learn multiplication tables and associated division, factoring, and addition tables and associated subtraction. Explains why the monkey works and reviews geometric, algebraic, and arithmetic concepts. (KHR)

Cites Mandelbrot as an example of one who learned the language of mathematics, biding his time until he could employ his knowledge both as a means of creative expression and as a tool for comprehending the intricacies of the world around us. (KHR)

Investigates the benefits and limitations of using pre-constructed, web-based, dynamic geometry sketches in activities related to deductive proof at the secondary school level. Focuses on the relationship between the design of materials and the exploration process. Draws attention to the idea that pre-constructed dynamic geometric sketches and…

Proposes some possible ways of using an interactive whiteboard as a means of stimulating pupils' thinking and active participation. (KHR)

Describes a rugby problem designed to help students understand the maximum-minimum situation. Presents a series of explorations that locate an optimal place for kicking the ball to maximize the angle at the goalposts. Uses interactive geometry software to construct a model of the situation. Includes a sample student activity. (KHR)

Describes a credit-card-debt activity that allows students to increase their awareness of underlying mathematical concepts relevant to the world of commerce and personal finance through learning geometric and arithmetic sequences. (KHR)