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Sarah B. Bush, Karen S. Karp, Jennifer Nadler, and Katie Gibbons

By examining ratios in paintings and using a free educational app, students can size up artists' use of proportional reasoning in their creations.

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Sherry L. Bair and JoAnn Cady

Solutions to a November 2013 Solve It problem are discussed, and the procedures used with problem solving are explored.

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Solve It! Lemon Tea?

little problems with big solutions

Sherry L. Bair

To elicit creative student thinking, this open-ended problem asks solvers to calculate mixtures of lemon and tea.

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Victor Mateas

Teachers can benefit from productive and manageable suggestions to align instruction to the intention of the Common Core's Standards for Mathematical Practice.

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Joe Champion and Ann Wheeler

A classic manipulative, used since the 1960s, continues to offer opportunities for intriguing problem solving involving proportions.

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Kimberly A. Markworth

This feline-rodent problem helps preservice teachers go beyond the cross-multiplication algorithm to think about proportional relationships.

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Jill A. Cochran

An outdoor context can reel in two important mathematical ideas and catch students' misconceptions in the process.

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Jessica S. Cohen

Use strip diagrams to model and solve problems requiring proportional reasoning.

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Elizabeth T. Walker and Jeffrey S. Molisani

Multiple entry points on the road to assessing students can tell teachers if students can do math and therefore apply math to real-world problems.

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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.