
06597598
j
2016d.00647
Nirode, Wayne
Exploring new geometric worlds.
Math. Teach. (Reston) 109, No. 2, 112119 (2015).
2015
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
G40
G90
geometric concepts
Euclidean geometry
taxicab geometry
distance
http://www.nctm.org/Publications/MathematicsTeacher/2015/Vol109/Issue2/ExploringNewGeometricWorlds/
Summary: When students work with a nonEuclidean distance formula, geometric objects such as circles and segment bisectors can look very different from their Euclidean counterparts. Students and even teachers can experience the thrill of creative discovery when investigating these differences among geometric worlds. In this article, the author describes a high school honors geometry enrichment project that enhanced his students' understanding of distance. He explains how the students used Euclidean and taxicab geometry to explore distance and shape and learned about LargerDistance Geometry (LDG) using The Geometer's Sketchpad (GSP). (ERIC)