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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.

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## Extreme Word Problems: Interweave Student Imagination with Math

Let students find the connecting thread to create, illustrate, and share word problems to bridge school math and real-life math.

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## January/February 2019 Calendar and Solutions

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## Making Mathematical Discourse Worth Your While

Avoid off-task behavior, such as horseplay, rolling on the floor, and meowing, with a reliable routine that promotes students' thinking, communication, and social safety in sharing their ideas.

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## Problems

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

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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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## Let's Go to San Francisco

The Transamerica Pyramid building, shown in photograph 1, is San Francisco's most distinctive and well-known building. Photograph 2, taken from street level, shows a view looking up to the top of the building. Photograph 3, also taken at street level, shows pyramids incorporated into the overall design of the building.

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## Problems

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