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ERIC Number: EJ1074901
Record Type: Journal
Publication Date: 2015-Sep
Pages: 8
Abstractor: ERIC
ISSN: ISSN-0025-5769
Exploring New Geometric Worlds
Nirode, Wayne
Mathematics Teacher, v109 n2 p112-119 Sep 2015
When students work with a non-Euclidean 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 Larger-Distance Geometry (LDG) using The Geometer's Sketchpad® (GSP).
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A