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## Branch Play

This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.

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## GPS: How Long? Estimating Length and Time

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## GPS: Who Will Win, Lightning or Jackson?

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## Introducing Grade 3 Students to Digital Data Exploration

Bar graphs are fundamental to display distributions of categorical variables in primary school. Here is an approach using TinkerPlots™ to create bar graphs on different representation levels in small and large data sets.

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## Exploring Relative Size with Relative Risk

The Relative Risk Tool web app allows students to compare risks relating to COVID-19 with other more familiar risks, to make multiplicative comparisons, and to interpret them.

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## Exploring Data from Lived Experiences: A Pandemic Case

Use a COVID-19 lesson as an example of how to apply a framework aligned with research recommendations to support students as they apply mathematics to real life.

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## Bridging Modeling and Environmental Issues

The Great Pacific Garbage Patch activity involves an urgent environmental issue that students can discuss. It engages students in the interpretation of visual data, measurements, units, and the area of regular and irregular figures.

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## “Filling Bottles with Water"

When selecting mathematical tasks to use in professional development with teachers, in-service or preservice, I am always looking for ones that model effective teaching practices, give opportunities to dig deeply into mathematics, engage the learner in multiple ways, and can readily be used in the classroom. Although there are many to choose from, “Filling Bottles with Water" (Gómez and Wolfson 2012) from Mathematics Teacher, now 10 years old, is one I use that exemplifies all four characteristics.

EFFECTIVE TEACHING PRACTICES

When implementing this task, you see multiple effective teaching practices at play (NCTM 2014

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## The Magic Is in the Margins: UDL Math

In this article, I propose a mathematical version of Universal Design for Learning called UDL Math. I describe three classrooms that include students with disabilities in meaningful mathematics and explore how the teachers create access through multiple means of engagement, representation, and strategic action.

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## Making Sense of a Data-Filled World

I (JB) received a message recently that piqued my curiosity—Steve Levitt, a University of Chicago economist, famous for his book Freakonomics, wanted to talk with me. Because my contacts usually come from the world of mathematics and education, I wondered what it was that Steve wanted to discuss. What I did not know at the time was that phone call would be the start of one of the most exciting new initiatives I have encountered in my work in education, which has the potential to significantly change the mathematics we teach in classrooms. Steve became interested in