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Colleen Haberern

Students used a pinch of this (a 3D printer and geometry software) and a cup of that (various volume formulas) to complete a tiered task.

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Stephan Pelikan, Anna F. DeJarnete and Stephen Phelps

A monthly set of problems is aimed at a variety of ability levels.

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E. Fanny Sosenke and Tala Councilman

A real-world problem about the cost of moving one's household from one city to another.

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Kasandra Dickman and Laura Bofferding

This department explores a game used to help students learn about additive inverses, or “zero pairs.” Authors describe some common reasoning that students used while playing the game and provide activity sheets geared toward students in grades 5–7.

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Making Squares

little problems with big solutions

Annie Perkins and Pamela J. Wells

To elicit creative student thinking, this open-ended problem asks solvers to measure as many squares as possible using a certain size of cardboard.

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Stephan Pelikan, Anna F. DeJarnette and Stephen Phelps

A monthly set of problems is aimed at a variety of ability levels.

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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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Stephan Pelikan, Anna F. DeJarnette and Stephen Phelps

A monthly set of problems is aimed at a variety of ability levels.

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Stephan Pelikan, Anna F. DeJarnette and Stephen Phelps

A monthly set of problems is aimed at a variety of ability levels.

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James Metz

Students analyze how many trees are used to produce toilet tissue.