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ERIC Number: EJ977739
Record Type: Journal
Publication Date: 2012-Aug
Pages: 7
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-1072-0839
EISSN: N/A
Discuss Similarity Using Visual Intuition
Cox, Dana C.; Lo, Jane-Jane
Mathematics Teaching in the Middle School, v18 n1 p30-36 Aug 2012
The change in size from a smaller shape to a larger similar shape (or vice versa) is created through continuous proportional stretching or shrinking in every direction. Students cannot solve similarity tasks simply by iterating or partitioning a composed unit, strategies typically used on numerical proportional tasks. The transition to thinking proportionally is difficult for students and tremendously challenging for teachers to get across to students. After working with urban middle school students, the authors concluded that understanding similarity was difficult, in part, because opportunities to study proportional reasoning were missing from the mathematics curriculum. These opportunities involved studying the following: (1) Simple and complex figures; (2) Distortion and proportion; and (3) Visual reasoning and more analytical strategies. In this article, the authors describe in depth two different types of classroom activities where these opportunities can arise for students: (1) categorization; and (2) construction. They also provide some specific recommendations about incorporating activities, thereby giving students opportunities to learn about similarity. (Contains 8 figures.)
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: orders@nctm.org; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Middle Schools
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A