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.…

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)

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)

Discusses the language-inquiry approach to learning geometry and describes the use of geometry stations to promote this inquiry. (Author)

Uses concrete models to teach conventional algebraic topics with emphasis on connections to other mathematical concepts such as notion of variable, number properties, and geometry. (Contains 10 references.) (YDS)

Describes a method for teaching Euler's line, the co-linearity of the circumcenter, centroid, and orthocenter of a triangle. Discusses teaching results. (KHR)

A problem concerning circles and points from a comic strip is presented. Its solution, using coordinate geometry, is then presented. The problem demonstrates how much one can learn by looking beyond the simple or partial solutions to a problem. (MNS)

An easier-to-understand alternative to the usual proofs of inequalities in triangles is presented. (MNS)

Reports what real life contexts meant while teaching Year 11 Geometry and Trigonometry. Presents problems to support the teaching of a topic on vectors in three-dimensional space. Takes a critical look at five of the problems in view of students' responses to them. (ASK)

Examines the relationship between problem-solving performance and the quality of the organization of students' knowledge. Reports on findings on the extent to which content and connectedness indicators differentiated between groups of high-achieving and low-achieving Year 10 students undertaking geometry tasks. (Contains 29 references.)…

Presents an activity in which students use their skills as creative thinkers and writers and combine them with their knowledge of geometry to create their own class Book of Creative Geometry. (ASK)

Describes a geometry course that attempts to prepare prospective mathematics teachers to meet the goals described in the Standards. (ASK)