Describes a college geometry course centered around challenging, open-ended problems that invite students to draw upon their experiences and share their understandings. Includes discussion of sample problems; writing assignments; classroom dialog; student comments and insights about geometry, mathematics, and themselves and mathematics; and…

This paper advocates the use of symbolic computation packages as another aid in teaching geometry. The need for such packages and their use in computerized proofs are demonstrated by a problem in high school planar geometry. (LZ)

Using sequential chains of regular n-gons in a row with one side touching, as for example, one triangle, two triangles, three triangles, and so on, students graph the length of the perimeter versus the number of n-gons and determine the functional relationship for different values of n. (MKR)

Standard treatments of uniform circular motion generally employ a combination of geometric and kinematic arguments to obtain the magnitude of radial acceleration. Presents a novel approach to the geometric portion of the derivation that uses the property that vectors can be translated parallel to themselves. (JRH)

Maintains that, by looking at and asking questions about the shapes of common objects, teachers can lead students to discussions of geometric topics such as triangles, tessellations, point on plane, and conservation of space. (MDM)

Presents an activity using simple constructions and a knowledge of proportions to discover that the sets of points generated by the described procedures are circles. Presents a proof of the result. (Author/MKR)

Presents proofs of some trigonometric identities from a geometric point of view. (MKR)

Describes an analysis of the direction taken by a baseball immediately after coming into contact with the bat. Uses geometry, trigonometry, and physics. (MKR)

Presents results from research aimed to design and experiment with a set of units for teaching plane isometries in grades 3 through 12 and applies the van Hiele model of geometric reasoning to isometries. Includes a table of characteristics of teaching objectives for the van Hiele Levels in Isometries. (MKR)

Offers an excerpt from a paper written by Nicolay Lobachevsky (1792-1856) on the topic of the then new non-Euclidean geometry in tribute to this scientist as his 200th birthday approaches. Lobachevsky discusses his ideas about parallel lines in the context of his new geometry. (MDH)

Offers suggestions for a unit on word study in geometry, including defining, recognizing, producing, and appreciating the concepts of geometry. Includes lists of terms and Greek and Latin word roots. (MKR)

Presents Cevian geometry problems (involving a segment that joins a triangle's vertex to a non-vertex point on opposite side) that illustrate how to implement methods for developing flexible strategies of problem solving, finding multiple representations, and making connections to other areas of mathematics and the real world. (ASK)

Reports the development of a new geometric analogies test for elementary school children and the examination of its use for future longitudinal studies. Three studies involving 361 elementary school students indicate the quality of the scale and support its use. (SLD)

Presents a student description of the Cape of Good Hope project in which pairs of students designed capes and cloaks out of garbage bags for a fashion show. (ASK)

Analyzes college geometry courses with regard to content, pedagogy, and assessment based on 30 syllabi and 108 questionnaire responses from randomly selected U.S. colleges and universities. Concludes that common characteristics are evident but wide diversity exists. Notes that a typical geometry course did not emerge from the data. (Contains 20…