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Jere Confrey, Meetal Shah, and Alan Maloney

Three learning trajectories and their connections show how to promote vertical coherence in PK–12 mathematics education.

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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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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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Nicole Panorkou and Alan P. Maloney

Develop fifth-grade students' early expression of pattern relationships through instructional tasks.

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Sonalee Bhattacharyya, Nama Namakshi, Christina Zunker, Hiroko K. Warshauer, and Max Warshauer

This activity engages students in problem solving while exploring key concepts of number theory, such as divisibility and divisibility tests, place value, fractions, and scale factors.

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Matt B. Roscoe and Joe Zephyrs

Pull on the threads of congruence and similarity in a series of lessons that explores transformational geometry.

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Sarah B. Bush, Judith Albanese, and Karen S. Karp

Students engage in an activity of predicting, collecting, organizing, analyzing, and interpreting data by exploring the frequency of names that occur over three generations.

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Jennifer R. Brown

Set sail to explore powerful ways to use anchor charts in mathematics teaching and learning.

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Claudia R. Burgess

This geometry lesson uses the work of abstract artist Wassily Kandinsky as a springboard and is intended to promote the conceptual understanding of mathematics through problem solving, group cooperation, mathematical negotiations, and dialogue.