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ERIC Number: EJ1134542
Record Type: Journal
Publication Date: 2017-Mar
Pages: 9
Abstractor: ERIC
ISSN: ISSN-1073-5836
Facilitating Mathematical Practices through Visual Representations
Murata, Aki; Stewart, Chana
Teaching Children Mathematics, v23 n7 p404-412 Mar 2017
Effective use of mathematical representation is key to supporting student learning. In "Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014), "use and connect mathematical representations" is one of the effective Mathematics Teaching Practices. By using different representations, students examine concepts through multiple lenses. Visual representations are particularly helpful to engage students in mathematical discussion, as they provide visual references and meaningful space for student participation. The Common Core State Standards in Mathematics (CCSSM) (CCSSI 2010) emphasize mathematical practices in children's learning processes in classrooms. These practices seem ambitious and reasonable, but how they come together in classrooms may not be immediately clear. Important aspects of these practices can be effectively facilitated through student discussion of ideas, with careful representations of student ideas. This article presents a set of lesson examples in which effective uses of representations facilitate mathematical practices while first graders solve addition problems using place value.
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Elementary Education; Grade 1; Primary Education; Early Childhood Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A