The intention of this investigation was to diagnose the retention of some basic skills in some topics in algebra and geometry and to reveal difficult steps in the learning processes in these topics. (MP)

A discussion is given of the technique used to create repeating patterns with interlocking congruent figures using reflection, rotation, translation, and glide reflection. (MP)

A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)

Described is an experiment that allows students to determine the distance to the moon by triangulation. Included is a description of parallax methods and photographic techniques. (CS)

After students learn that it is impossible to trisect an angle using compass and straight-edge, students are introduced to the trisectrix curve which accomplishes the trisection. (SD)

Discusses some aspects of the defining process in geometrical context in the reference frame of the theory of "figural concepts." Presents analysis of some examples taken from a teaching experiment at the sixth-grade level. Contains 30 references. (Author/ASK)

Defines and discusses anamorphic art and describes an anamorphic art activity using the reflection of mirrored cylinders through a grid system. Particularly suitable for algebra or geometry classes. Requires some minimal skills from coordinate geometry and spatial visualization. (AIM)

Describes an activity, designed to comply with the National Science Education Standards, that integrates science and mathematics concepts. Mathematical modeling of the moon's phases is employed to show students the role of mathematics in describing scientific phenomena. (DKM)

Presents the classroom activity of finding a Hamiltonian circuit that helps students understand the properties of geometric shapes and symmetry. (ASK)

Describes the solution to a geometric problem by two ninth-grade mathematicians using The Geometer's Sketchpad computer software program. The problem was to divide any line segment into a regular partition of any number of parts, a variation on a problem by Euclid. The solution yielded two constructions, one a GLaD construction and the other using…

Describes a lesson that uses the graphing calculator to prompt the proof of the mean-value theorem. Students, through guided questioning, proposed the idea of using a difference function to find where a tangent line is parallel to a secant line. Through the use of graphing technology, students conjectured the essential fact that the constructed…

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)