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## Capturing Disappearing Data and Strategy Development

Use photographs as a formative assessment tool.

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## Field Trips

What is the most exciting day of the school year? Field trip day! Organizing a smooth field trip requires mathematical thinking. After solving these problems, have students create math questions about their own field-trip experiences.

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## Designing Mathematical Interactions for English Learners

Five types of engaging peer-interaction structures can support English learners as they make sense of mathematics and explore important mathematical relationships.

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## Endangered species

Animals that are at risk of becoming extinct are called endangered species. They can be very large animals, like a polar bear, or very small, like a monarch butterfly. Learn about several different endangered species by engaging in these math activities.

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## Classroom Routines: an Invitation to Discourse

Present interesting visual images and open questioning structures to compel students toward powerful authentic mathematical discussions.

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## October 2018 Calendar and Solutions

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## Preservice Teachers' Mathematical Visual Implementation for Emergent Bilinguals

Using visuals is a well-known strategy to teach emergent bilinguals (EBs). This study examined how preservice teachers (PSTs) implemented visuals to help EBs understand mathematical problems and how an innovative intervention cultivated PSTs' capability of using visuals for EBs. Four middle school mathematics PSTs were engaged in a _ eld experience with EBs to work on mathematical problems; during the _ eld experience, the PSTs received interventions. In one intervention session, the PSTs were asked to make sense of a word problem written in an unknown language with different visuals. After this intervention, they changed their use of visuals when modifying tasks for EBs. The results suggest that immersive experiences where PSTs can experience learning from the perspective of EBs helps PSTs implement mathematically meaningful visuals in a way that makes mathematical problems accessible to EBs.

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## Problem solving with the Greek gods

Math by the Month features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. In this issue, students explore mathematical challenges within the context of the Greek gods. Activities are provided for elementary school children to support their exploration of mathematics in everyday situations.

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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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## Problems

A monthly set of problems is aimed at a variety of ability levels.