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A cartoon that explores long division is coupled with a full-page activity sheet.

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Nirmala Naresh and Bridget Royce

Students design game boards and gather experimental data to better understand the hidden mathematics in a common television game show.

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Aliza Libman Baronofsky

An activity explores whether a fraction will terminate or repeat. Activity sheets are included.

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Scott A. Brown

The traditional technique for converting repeating decimals to common fractions can be found in nearly every algebra textbook that has been published, as well as in many precalculus texts. However, students generally encounter repeating decimal numerals earlier than high school when they study rational numbers in prealgebra classes. Therefore, how do prealgebra students in the middle grades convert repeating decimals to fractions without using the age-old algebraic process (multiplying and finding the difference of two “stacked” equations) or without applying the precalculus approach of treating repeating decimal digits as an infinite geometric series?.

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Jenny Salls

Gain insight into students' understanding of the concept of fraction as operator as well as their reliance on rote procedures to convert fractions to decimals.

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Aina K. Appova

Students analyze the probability of receiving a lifetime of free coffee.

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Francis (Skip) Fennell, Beth McCord Kobett, and Jonathan A. Wray

Student understanding of fractions as numbers, a foundational element of fraction sense and a critical prerequisite of work with operations, is explored through real-world connections.

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Math for Real: Now We're Cooking

“when will I ever use this?”

Brendan Chandler

A recipe-costing sheet provides the real-life tie-in to this computation activity.

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Quick Reads: Posters: More Than Just for Looks

a good idea in a small package

Greisy Winicki-Landman and Christine Latulippe

Posters, commonly employed for decoration, can be used to introduce and practice new concepts and help assess student learning.

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Stacy Reeder

Edited by Kate Raymond

Eager to understand their world, students can really engage when population data are introduced in the classroom. The lesson presented in this article was inspired by the book If the World Were a Village: A Book about the World's People (Smith 2011), which presents a great deal of data in a concise form that middle school students typically find interesting, engaging, and, most often, surprising.