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Harold B. Reiter, John Thornton, and G. Patrick Vennebush

Through KenKen puzzles, students can explore parity, counting, subsets, and various problem-solving strategies.

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Peter Wiles

Students fold paper to make and test conjectures while reasoning about and discussing geometric ideas.

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Bobson Wong and Larisa Bukalov

Parallel geometry tasks with four levels of complexity involve students in writing and understanding proof.

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Michael K. Weiss and Deborah Moore-Russo

The moves that mathematicians use to generate new questions can also be used by teachers and students to tie content together and spur exploration.

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Katie L. Anderson

Teachers share success stories and ideas that stimulate thinking about the effective use of technology in K–grade 6 classrooms. This article describes a set of lessons where sixth graders use virtual pattern blocks to develop proportional reasoning. Students' work with the virtual manipulatives reveals a variety of creative solutions and promotes active engagement. The author suggests that technology is most effective when coupled with worthwhile mathematical tasks and rich classroom discussions.

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Kristen N. Bieda and Jerilynn Lepak

Research explores how to help students build from, instead of building with, examples when justifying mathematical ideas.

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Terri L. Kurz

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

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R. Alan Russell

In trying to find the ideal dimensions of rectangular paper for folding origami, students explore various paper sizes, encountering basic number theory, geometry, and algebra along the way.

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Ayana Touval

Through movement-a welcome change of pace-students explore the properties of the perpendicular bisector.

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Math for Real: Packaging Golf Balls

“when will I ever use this?”

Randy Hall

A package of three golf balls provides the real-world scenario for this ratio and area activity.