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ERIC Number: EJ973362
Record Type: Journal
Publication Date: 2012-May
Pages: 6
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-1072-0839
EISSN: N/A
Proportioning Cats and Rats
Markworth, Kimberly A.
Mathematics Teaching in the Middle School, v17 n9 p538-543 May 2012
Students may be able to set up a relevant proportion and solve through cross multiplication. However, this ability may not reflect the desired mathematical understanding of the covarying relationship that exists between two variables or the equivalent relationship that exists between two ratios. Students who lack this understanding are likely to use a proportion and the cross-multiplication algorithm to solve missing-value problems even when the quantities do not covary proportionally. The Cats and Rats problem is a rich example of how a table or proportion is not necessary to make sense of and solve a proportional situation. To solve the problem, students can visualize the context and reason about how changes to one variable will affect another variable. A table can serve as a tool for recording students' calculations, and the variety of approaches to the solution can be shared. (Contains 3 tables)
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: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A