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Carol J. Bell

many of us are familiar with the tangram and the geoboard. A tangram is a dissection puzzle consisting of seven flat shapes. One objective of the puzzle is to form a specified shape using all seven pieces, with no pieces overlapping. Geoboards are generally used to explore basic concepts found in plane geometry, such as perimeter and area, or basic shapes, such as polygons. Using tangrams in combination with a geoboard provides a rich activity for students that will help them further develop their skills and understanding of operations and algebraic thinking, number and operations, measurement, and geometry, also mentioned in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010).

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Carol J. Bell

Ask your students to analyze geometric representations of arithmetic sequences for a meaningful problem-solving experience.

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Carol J. Bell

Reasoning and Proof is one of the process standards set forth in NCTM's principles and standards for school mathematics (2000).

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Carol J. Bell, Heather J. Leisner, and Shelley Kristina

As students fill baskets with differing numbers of fruit, they develop the concept of GCF—often before learning the formal definition.