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Charles F. Marion

The simplest of prekindergarten equations, 1 + 2 = 3, is the basis for an investigation involving much of high school mathematics, including triangular numbers, arithmetic sequences, and algebraic proofs.

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Michelle T. Chamberlin and Robert A. Powers

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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Victoria R. Jacobs, Susan B. Empson, Joan M. Case, Amy Dunning, Naomi A. Jessup, Gladys Krause, and D’Anna Pynes

The authors introduce an activity involving “follow-up equations” to connect with ideas children have already expressed during fraction problem solving.

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Lauren R. Holden, Yi-Yin (Winnie) Ko, Devon W. Maxwell, Connor A. Goodwin, Cheng-Hsien Lee, Jennifer E. Runge, and Elizabeth B. Beeman

One-Straight-Cut-Heart activities can help teachers support students’ engagement with geometry and can deepen students’ geometric reasoning.

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Marina Basu, Karen Koellner, Jennifer K. Jacobs, and Nanette Seago

This set of tasks progressively engages students in geometric proportional reasoning.

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Robert Powers, Michelle Chamberlin, and William Dutmer

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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Carrie Plank and Sarah Roller Dyess

Use these three strategies to support student perseverance and discourse about context.

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Amanda L. Cullen

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Alisan Boes, Duane C. Boes, and Nichola Hillis

We explore the statistical likelihood of one, or more, siblings in a family of nine surviving to 100 years of age.

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Chris Harrow and Justin Gregory Johns

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.