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ERIC Number: EJ993624
Record Type: Journal
Publication Date: 2012-Nov
Pages: 8
Abstractor: ERIC
Reference Count: N/A
ISSN: ISSN-1072-0839
An Exce-L-ent Algorithm for Factors and Multiples
Lee, Jae Ki; Choi, Kyong Mi; McAninch, Melissa
Mathematics Teaching in the Middle School, v18 n4 p236-243 Nov 2012
Research has proved that American students, as well as some adults, struggle with understanding fraction concepts and operations (Behr et al. 1992; NCES 2011). Having a solid understanding of this topic is important because fraction concepts are a foundation for many areas in secondary school mathematics, such as rate of change, rational expressions, functions, and equations (Son 2011). Researchers have turned to studying instructional approaches of higher-performing countries, comparing written curricula cross-nationally, with the goal of explaining differences in achievement among countries (Son and Senk 2010; Son 2011; Watanabe 2003). They have also analyzed teacher knowledge for instruction (Son and Crespo 2009). The purpose of this article is to propose a new instructional technique that blends ideas from different sources. The L-shaped 2-5-3-7 algorithm combines the efficiency of an L-shaped representation found in Singaporean and Korean mathematics textbooks with a simplified procedure that uses divisibility rules of primes 2, 3, 5, and 7 from U.S. textbooks. From the elementary school to the remedial collegiate level, this representation can help students as they develop procedural skills and understanding of the factorization of numbers and operations of fractions. (Contains 7 figures and 1 table.)
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; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Singapore; South Korea; United States