ERIC Number: EJ891810
Record Type: Journal
Publication Date: 2010
Reference Count: 10
Engaging All Students with "Impossible Geometry"
Wiest, Lynda R.; Ayebo, Abraham; Dornoo, Michael D.
Australian Senior Mathematics Journal, v24 n1 p57-63 2010
Geometry is an area in which Australian students performed particularly poorly on the 2007 Trends in International Mathematics and Science Study (TIMSS). One innovative area of recreational geometry that has rich potential to engage and challenge a wide variety of students is "impossible geometry." An impossible geometric object is a two-dimensional drawing that gives the impression of a viable three-dimensional figure, which in fact cannot exist. It is thus an optical illusion where the misperception requires careful analysis to detect and explain. In this article, the authors describe an impossible-geometry lesson where two high school classes in different Northern Nevada school districts explore the concept of impossible geometry before creating their own impossible object. The authors provide lesson-implementation details, sample student work, and student response to the lesson. The intent of this lesson is to have students explore connections between two- and three-dimensional figures. (Contains 6 figures and 13 online resources.)
Descriptors: Foreign Countries, Geometric Concepts, Geometry, Recreational Activities, High School Students, Secondary School Mathematics, Learner Engagement, Visual Perception, Interdisciplinary Approach
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: firstname.lastname@example.org; Web site: http://www.aamt.edu.au
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Secondary Education
Authoring Institution: N/A
Identifiers - Location: Australia; Nevada