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ERIC Number: EJ847113
Record Type: Journal
Publication Date: 2008-Oct
Pages: 13
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0036-6803
Identifying Fourth Graders' Understanding of Rational Number Representations: A Mixed Methods Approach
Moseley, Bryan; Okamoto, Yukari
School Science and Mathematics, v108 n6 p238-250 Oct 2008
This study examined average-, high- and top-performing US fourth graders' rational number problem solving and their understanding of rational number representations. In phase one, all students completed a written test designed to tap their skills for multiplication, division and rational number word-problem solving. In phase two, a subset of students sorted cards that showed part-whole, ratio, quotient, measure, and operator perspectives of rational number representations. Each perspective was shown in numerical notational, word-problem, and visual formats. The results indicated that top-performing students scored significantly higher in problem solving and showed more effectively linked rational number representations than the other groups. The results imply that successful rational number problem solving is intertwined with representational knowledge for a wide range of rational numbers and that the bulk of US students do not possess effective skills for working with rational number representations.
School Science and Mathematics Association. Oklahoma State University, 245 Willard, Stillwater, OK 74078. Tel: 405-744-8018; Fax: 405-744-6290; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 4
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A