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## The Locker Problem: An Open and Shut Case

The Mathematics Teaching Practices open the door to helping students engage with meaningful mathematics.

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## Music Cards

Students display a wide variety of creative mathematical thinking and misconceptions when they complete a classroom task that focuses on proportional reasoning.

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## Cartoon Corner: Let's Talk Turkey

A cartoon that explores how much turkey to serve is coupled with a full-page activity sheet.

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## Develop Reasoning through Pictorial Representations

Solutions coupled with drawings can illustrate students' understandings or misunderstandings, particularly in the area of proportional reasoning.

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## The Footprint Problem: A Pathway to Modeling

By exploring an open-ended investigation involving proportional reasoning, students were able to walk through both problem solving and modeling.

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## Redeem Reasoning

This opinion piece discusses how simplicity, ease, and efficiency—in the guise of shortcuts, tips, and packed procedures—kill mathematical reasoning.

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## Mathematical Explorations: Developing the Common Denominator Fraction Division Algorithm

Division of fractions, a troublesome area for students, is looked at anew using a common denominator algorithm.

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## Mathematical Explorations: Moving beyond Factor Trees

An alternative method for teaching prime decomposition explores using tools rather than factor trees.

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## Developing Formal Procedures through Sense Making

Allowing students to reason and communicate about integer operations, or any idea, before these ideas are formalized can be an important tool for fostering deep understanding.

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## Winning the “Hundred Years' War”

Arm your students for victory in the age-old battle to master subtraction with regrouping.