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## Skip-counting battle

Student teams battle one another by skip counting by different numbers and switching their counts when the teacher shouts, “Switch!” This game promotes numerical fluency, numerical pattern recognition, and addition/multiplication operations. Postscript items are designed as rich grab-and-go resources that teachers can quickly incorporate into their classroom repertoire with little effort and maximum impact.

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## Back Talk: Amelia's mental images of numbers

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## The math diet: An instructional framework to grow mathematicians

The metaphor of a balanced diet is used in literacy to describe the components of literacy instruction that are vital to growing readers and writers (NRP 2000). In a balanced literacy diet, the components work in tandem to give students multiple contexts to practice and transfer their understanding, knowledge, and skills. Similarly, the Math Diet provides an instructional framework to grow proficient mathematicians based on mathematics education research (NCTM 2014; NRC 2009). (See the more4U note at the end of the article for how to access a summary table of the Math Diet that is available online.) The Math Diet for students in kindergarten through fifth grade includes five components.

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## Preschoolers' number sense

Consider using a game-based assessment of number sense in young children, including those at risk because of socioeconomic level, disability, or the necessity of learning a second language.

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## Bottle Caps as Prekindergarten Mathematical Tools

Exploring structure through the use of a familiar object allows very young children to develop an understanding of several concepts at one time.

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## Revisiting the Bean Counting, Fog, and Snow problem

The problem scenario explores analog clocks, a rich source of tasks associated with angles and angle measures. To access the full-size activity sheet, go to http://www.nctm.org/tcm, All Issues. Each month, this section of the Problem Solvers department showcases students' in-depth thinking and discusses the classroom results of using problems presented in previous issues of Teaching Children Mathematics.

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## Chewing on Meaningful Counting in Prekindergarten

Common preschool routines increase opportunities for children to develop important skills.

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## Virtual Place Value

Compare how third graders think mathematically when using virtual versus concrete base-ten blocks to learn place-value concepts.

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