Cans on a grocery store shelf and Hirst's Capric Acid Amide can illustrate dot arrays, thus helping students understand the distributive property, partial products, and the standard algorithm for multiplication.

Contributor Notes

Gabriel T. Matney,, a former teacher and math department chair for the Santa Fe South schools in Oklahoma City, Oklahoma, currently teaches preservice methods courses and graduate level mathematics education courses as an associate professor of education at Bowling Green State University in Ohio. He is interested in students' mathematical authenticity and teachers' professional development.

Brooke N. Daugherty,, teaches grades 6-8 and chairs the math department at Santa Fe South Middle School in Oklahoma City. She is interested in the role that classroom culture plays in developing students as self-initiated problem solvers.

(Corresponding author is Matney
(Corresponding author is Daugherty
Mathematics Teaching in the Middle School
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