ERIC Number: EJ972664
Record Type: Journal
Publication Date: 2012
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1051-1970
EISSN: N/A
Gabriel's Other Possessions
Royer, Melvin
PRIMUS, v22 n4 p338-351 2012
Gabriel's Horn is a solid of revolution commonly featured in calculus textbooks as a counter-intuitive example of a solid having finite volume but infinite surface area. Other examples of solids with surprising geometrical finitude relationships have also appeared in the literature. This article cites several intriguing examples (some of fractal type), adds additional ones, and discusses how these topics can enhance a Calculus II or Real Analysis course by adding cohesiveness between topics, challenging students at multiple levels, and illustrating both the power and limitations of a computer algebra system. (Contains 12 figures.)
Descriptors: Mathematics Education, Textbooks, Scientific Concepts, Calculus, Algebra, Geometric Concepts, Geometry, Teaching Methods, Mathematics Instruction, Computer Uses in Education, College Mathematics, Higher Education
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A