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## Letters to the editor

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## May 2019 Calendar and Solutions

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## Life in A-town

Welcome to A-town! All the residents of A-town have names that start with the letter A! Could you live here? Join these students as they solve problems around their neighborhood. Remember, math is everywhere.

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## Tools for Facilitating Meaningful Mathematics Discourse

This article explores facilitating meaningful mathematics discourse, one of the research-based practices described in Principles to Actions: Ensuring Mathematical Success for All. Two tools that can support teachers in strengthening their classroom discourse are discussed in this, another installment in the series.

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## March 2019 Calendar and Solutions

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## Problems

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

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## Professional Learning through Teacher-Researcher Collaborations

In a recent Mathematics Teacher article, Fonger and her colleagues explain why teachers should engage in research studies: Researchers working alone lack the information needed to effectively address problems of practice that matter most-problems that are highly contextual and based on teachers' day-to-day experience. (2017, p. 462)

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## Using PhET Simulations in the Mathematics Classroom

Imagine that you and your language arts colleagues are teaching Edgar Allan Poe's short story, “The Pit and the Pendulum.” This thrilling story takes us to the Inquisition during which a prisoner is surrounded by hungry rats and bound to a table while a large pendulum slowly descends. The prisoner believes that the pendulum is 30-40 feet long and estimates that it should take about 10-12 swings before he is hit, leaving him with about a minute or a minute and a half to escape. Are his estimations correct? If so, will he make it out in time?

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## Visualizing Equations Using Color Tiles

Algebraic reasoning is often promoted through an analysis of and generalizations about patterns that appear in mathematics, in nature, or in everyday situations (Driscoll 1999; Kieran 2006; Lee 1996). In accordance with this tendency, the Common Core (CCSSI 2010) emphasizes finding patterns and expressing such regularity in repeated reasoning as an important mathematical practice. NCTM (2000) also recommends that students participate in patterning activities by asking them to describe numeric and geometric patterns; generalize patterns to predict what comes next while providing a rationale for their predictions; and represent patterns in multiple ways, including drawings, tables, symbols, and graphs.

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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.