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A cartoon exploring a problem about order of operations is coupled with a full-page activity sheet.

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Kami M. Dupree

Abandon mnemonics and make stronger connections between the operations and properties of arithmetic.

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Joel Amidon and Matt Roscoe

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

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Margaret Rathouz, Nesrin Cengiz, Angela Krebs, and Rheta N. Rubenstein

Tasks that have been developed to build a foundation for ratio meanings and language not only provide valuable information about student thinking but also support proportional reasoning.

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Steve Leinwand, DeAnn Huinker, and Daniel Brahier

This article provides an introduction to the six guiding principles for school mathematics and eight core mathematics teaching practices that appear in the new NCTM document, Principles to Actions: Ensuring Mathematical Success for All.

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Joel Amidon and Matt Roscoe

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

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Sherri L. Martinie

Teachers who are skilled at recognizing students' misconceptions about decimals are better equipped to make instructional decisions that build on these ideas.

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Shiv Karunakaran, Ben Freeburn, Nursen Konuk, and Fran Arbaugh

Preservice mathematics teachers are entrusted with developing their future students' interest in and ability to do mathematics effectively. Various policy documents place an importance on being able to reason about and prove mathematical claims. However, it is not enough for these preservice teachers, and their future students, to have a narrow focus on only one type of proof (demonstration proof), as opposed to other forms of proof, such as generic example proofs or pictorial proofs. This article examines the effectiveness of a course on reasoning and proving on preservice teachers' awareness of and abilities to recognize and construct generic example proofs. The findings support assertions that such a course can and does change preservice teachers' capability with generic example proofs.

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Anna F. DeJarnette, Jennifer N. Dao, and Gloriana González

Elicit productive discourse from students as they work through a bicycle rate problem.

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