Describes a method of effectively introducing the concept of radian measure that uses Cabri Geometry II software to construct a circle of arbitrary radius and to measure that radius. The goal is to determine how many of these radii fit around a circle. (DDR)

Describes how the rich examples of geometric images provided by string art can be used to generate some of the mathematics studied by students. Considers string art, graphing calculators, and elementary algebra as appropriate tools for students to use in generating interesting topics of study in mathematics. (DDR)

Presents a project-based interdisciplinary unit involving chemistry, physics, English, and geometry in which students are charged with the task of building a boat that will carry one student across the school's pool and back. (JRH)

Describes an activity that allows students to investigate families of linear functions and families of quadratic functions. Offers an opportunity for students to conjecture, explain, and justify in an environment based on Euclidean geometry. Includes a teacher's guide, answers, and student worksheets. (KHR)

States that often constant returns to scale are also much more and that many important results depend on the very special properties of this class of production function. Offers a unified set of simple proofs, employing only familiar diagrams and high school geometry, for most of the crucial analytical properties of constant returns production.…

Emphasizes the importance of children exploring hands-on and minds-on mathematics. Presents a midpoint shape activity for students to explore the midpoint shape of familiar quadrilaterals, such as squares and rectangles. (KHR)

Presents a question designed to launch a discovery journey through conjecture, research, serendipitous encounters, proof, answers, and new questions. Reports some discoveries and suggests ways in which to incorporate this strategy into classrooms. Presents a geometry project that incorporates this problem-solving approach to mathematics. (JRH)

Describes a project that involves students working with Pascal's triangle. Includes using computation involving Pascal's triangle to understand Plinko, a game on a well-known television show. (JRH)

Demonstrates the use of hexagonal dot paper in integrating algebra, geometry, and trigonometry within a single problem-solving setting rather than treating them in isolation. Suggests other related mathematically challenging activities for enrichment. (AIM)

Describes a group activity for writing and evaluating poetry on "pi." Notes that the activity worked well in a high-school geometry class and that the students in the class had fun with it. (RS)

Examines the levels of geometric reasoning commonly exhibited by primary school students, namely visualization, analysis, and informal deduction. Describes open-ended tasks that can be conducted in small groups or in a whole group setting. (KHR)

Presents classroom vignettes in which middle grade students with developmentally different views of geometry stimulate each other's reasoning by externalizing mental images through modeling and discourse. (KHR)

Shows how to find an equation in one variable whose solution set is a given line segment as well as an equation in two variables whose solution set is a given triangle and its interior. (KHR)

Comments on student responses to the three dimensional items produced by first investigating flat paper cutouts of the items. (KHR)

Presents a sampler of statements from "Principles and Standards for School Mathematics" related to standards, goals, and activities for preschoolers. (Author)