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ERIC Number: EJ858578
Record Type: Journal
Publication Date: 2009-Oct
Pages: 6
Abstractor: ERIC
Reference Count: 3
ISSN: ISSN-1072-0839
Cultivating an Area Model
Tillema, Erik S.
Mathematics Teaching in the Middle School, v15 n3 p142-147 Oct 2009
This article describes how to multiply binomials so that middle school students produce the equivalence (a + b)[superscript 2] = a[superscript 2] + 2ab + b[superscript 2] after reasoning about and representing problems. First, a two-dimensional array representation is used so that students can become comfortable with multiplication embedded in their figures. Later, an area model is used. Such area models provide multiple representations of squaring a binomial; in so doing, these diagrams give students multiple ways to understand the concept. (Contains 7 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:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A