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Patrick M. Kimani, Dana Olanoff, and Joanna O. Masingila

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

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Anne Roche and Doug M. Clarke

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

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Wendy P. Ruchti and Cory A. Bennett

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

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Kara L. Imm and Meredith D. Lorber

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

readers speak out

Kuo-Liang Chang

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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Andrew M. Tyminski and James K. Dogbey

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

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Terry L. Kurz and Jorge Garcia

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

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Jeffrey M. Choppin, Carolyn B. Clancy, and Scott J. Koch

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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Luann Voza

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