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Anne Quinn

The paper discusses technology that can help students master four triangle centers -- circumcenter, incenter, orthocenter, and centroid. The technologies are a collection of web-based apps and dynamic geometry software. Through use of these technologies, multiple examples can be considered, which can lead students to generalizations about triangle centers.

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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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Lisa A. Brooks and Juli K. Dixon

A second-grade teacher challenges the raise-your-hand-to-speak tradition and enables a classroom community of student-driven conversations that share both mathematical understandings and misunderstandings.

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Aryn A. Siegel and Enrique Ortiz

A simple problem-solving exercise encourages teachers to “start small” to reveal how third graders understand multiple math concepts simultaneously.

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Perla L. Myers and Colleen N. Pelak

Implement this professional development workshop designed to help teachers excavate the concept of area, uncover misconceptions, and cultivate understanding.

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Terri L. Kurz

After analyzing advertising claims regarding water shooters, students present their findings.

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Luann Voza

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

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Kathy A. Bacon

Presented with a variety of palatable, inquiry-based, creative learning choices in geometry, this teacher and her fifth graders found tremendous satisfaction in meeting target goals for reasoning skills and taking important “next steps” in learning.

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Lucille P. Dubon and Kathryn G. Shafer

Patterns are an important element of developing children's mathematical reasoning. In elaborating ways in which “instructional programs from prekindergarten through grade 12 should enable all students to understand patterns, relations, and functions” (NCTM 2000, p. 90), the National Council of Teachers of Mathematics specifies that representing and interpreting patterns are skills that kindergartners through second graders should build toward developing a robust understanding of algebra.