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ERIC Number: EJ1078472
Record Type: Journal
Publication Date: 2015-Oct
Pages: 9
Abstractor: ERIC
ISSN: ISSN-1072-0839
Visual Reasoning Tools in Action: Double Number Lines, Area Models, and Other Diagrams Power Up Students' Ability to Solve and Make Sense of Various Problems
Watanabe, Tad
Mathematics Teaching in the Middle School, v21 n3 p152-160 Oct 2015
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) identifies the strategic use of appropriate tools as one of the mathematical practices and emphasizes the use of pictures and diagrams as reasoning tools. Starting with the early elementary grades, CCSSM discusses students' solving of problems "by drawing." In later grades, such specific forms of diagrams as number lines, area models, tape diagrams, and double number lines are mentioned. This article illustrates the power of these visual reasoning tools by describing how Japanese sixth and seventh graders used a variety of pictures and diagrams to solve and make sense of problems. The article also discusses potential challenges and opportunities that these visual reasoning tools offer to middle school mathematics teaching and learning.
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: Secondary Education; Middle Schools; Junior High Schools; Grade 6; Intermediate Grades; Elementary Education; Grade 7
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Japan
Grant or Contract Numbers: N/A