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…

Studies fourth grade students identified by their teachers as having 'above average ability' in mathematics who were participating in 'pull out' enrichment sessions. Indicates that these students did not show initial difficulties with turn commands previously reported in mixed populations, and they created strategies to determine the correct…

Discusses the geometric and mathematical features of the pyramids in Cairo. Describes the relationship between the great pyramid and Pi. (ASK)

Discusses the geometric features of a building called the Alhambra in a city in the southernmost region of Australia called Granada. Describes plane patterns and analyzes those patterns while focusing on the plane symmetry. (ASK)

Emphasizes how to express the breadth of mathematics itself. Addresses other missing dimensions which make mathematics attractive to a larger number of students by making it appear less isolated and more tied to thoughts and experiences that students find familiar and congenial. (ASK)

Describes ways to examine leaf structure and shape using fractal geometry. Students can test hypotheses using the leaves of replicated plants to look for non-linear trends in leaf shape along the stems of plants, across species, and under different environmental growth conditions. (SAH)

Analyzes the functions of semiotic mediation in a long-term teaching experiment, Mathematical Discussion, on the plane representations of three-dimensional space by means of perspective drawing in grade two to five classrooms. (Author/MKR)

Presents several theoretical solutions to a geometry problem involving circles and probability. Includes simulation procedures to estimate the solutions. (MKR)

Introduces The Square Thing, a lesson that engages and invites student development of problem solving and reasoning skills, understanding through connections within the content, and mathematics voice. Describes components for successful pedagogy and benefits for students experiencing this and similar mathematics pedagogies. (Author/MM)

Eight experiments examined abilities of 3- to 4-year-olds to reorient themselves and locate a hidden object in an open circular space furnished with landmark objects. Findings showed that children failed to use geometric configuration of objects to reorient themselves. Children successfully located the object in relation to a geometric…