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ERIC Number: EJ1029438
Record Type: Journal
Publication Date: 2013-Oct
Pages: 8
Abstractor: ERIC
Reference Count: 4
ISSN: ISSN-1072-0839
Seeing Spots and Developing Multiplicative Sense Making
Matney, Gabriel T.; Daugherty, Brooke N.
Mathematics Teaching in the Middle School, v19 n3 p148-155 Oct 2013
Dot arrays provide opportunities for students to notice structures like commutativity and distributivity, giving these properties an image that can be manipulated and explored. These images also connect to ways that we organize discrete objects in everyday life. This article describes how the authors developed an array of dot tasks that have been found beneficial to students. These tasks allow students to reconnect and redevelop a sense for multiplicative efficiency and understanding, particularly with large numbers. They quickly come to realize that expectations go beyond a memorized procedure and involve reasoning and justifiation.
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