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## Using TileFarm to Support Emerging Multiplication

Symmetric dot patterns are a particularly powerful object for investigation, providing opportunities for foundational learning across PK–5. We found that second-grade students naturally used repeated addends to count symmetric dot patterns created using the new software TileFarm.

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## Hook and Hold

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

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## Using Constructed Knowledge to Multiply Fractions

Observe fourth graders' thinking in action as they connect the multiplication of whole numbers to arrays.

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## Helping Young Children See Math in Play

Capitalize on opportunities for mathematical concepts to emerge in common preschool contexts, such as doll corners and block centers.

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## Developing Addition Strategies: Preservice Teachers' Learning From Standards-Based Curriculum Materials

Despite the prevalence of mathematics curriculum materials in elementary classrooms, most current mathematics methods texts provide little or no support for preservice teachers (PSTs) learning to use curriculum materials. To meet this need, we have designed and studied several modules intended to provide PSTs with opportunities to learn about and from the use of curriculum materials. This article describes our research related to 1 of these modules–Addition Starter Sentences. Our results examine the nature of PSTs' developing content knowledge and pedagogical content knowledge, evidenced through their interactions with and reflections on Standards-based curriculum materials. We conclude with implications for mathematics teacher education research and practice.

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## The Distributive Property in Grade 3?

Are third graders ready to connect procedures to concepts of area conservation, distribution, and geometric interpretation?

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## Can We Really Count on Frank?

Use this new framework to select and analyze picture books for their mathematical content, such as the accuracy of the number of cans that stack in a shopping cart.

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## CCSSM: Keeping Teaching and Learning Strong

To support mathematics educators as they consider implications of the Common Core State Standards for Mathematics (CCSSM) for instruction and assessment, Teaching Children Mathematics launched a series of articles beginning in the February 2012 issue. In this concluding installment, we concentrate on the implementation of the eight Standards of Mathematical Practice and the constellations of Practices and Standards. In the September issue, Matthew Larson follows up the series with a feature article that looks at CCSSM through the lens of mathematics education reform history and asks the provocative question, Will CCSSM Matter in Ten Years?

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## Building Understanding of Decimal Fractions

Using grids can help students overcome confusion about place value.

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## Butterfly gardens

Butterflies are beautiful insects for students to study. Unfortunately, some kinds of butterflies are on the endangered species list because their natural habitats are disappearing. Members of our school community are concerned about this dilemma, so we decided to plant a butterfly garden.