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## Attending to Evidence of Students' Thinking during Instruction

This article explores three processes involved in attending to evidence of students' thinking, one of the Mathematics Teaching Practices in Principles to Actions: Ensuring Mathematical Success for All. These processes, explored during an activity on proportional relationships, are discussed in this article, another installment in the series.

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## Designing for Voice and Agency

Specific teacher moves and lesson planning can facilitate student empowerment in the middle school classroom.

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## Ferris Wheel Graphs

To introduce sinusoidal functions, I use an animation of a Ferris wheel rotating for 60 seconds, with one seat labeled You (see fig. 1). Students draw a graph of their height above ground as a function of time with appropriate units and scales on both axes. Next a volunteer shares his or her graph. I then ask someone to share a different graph. I choose one student with a curved graph (see fig. 2a) and another with a piece-wise linear (sawtooth) graph (see fig. 2b).

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## Investigating a Super-Bear

Three inquiry-based tasks highlight the planning, classroom discourse, positive results, and growth in one class's journey.

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## Letters to the editor

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## May 2019 Calendar and Solutions

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## Problems

A monthly set of problems targets a variety of ability levels.

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## Prove It to Me!

Engage your learners through tasks proven to significantly promote reasoning and problem solving, which touch on many of the Mathematics Teaching Practices in Principles to Actions: Ensuring Mathematical Success for All. These tasks are discussed in this article, another installment in the series.

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## April 2019 Calendar and Solutions

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## Exploring Data with CODAP

Concord Consortium's Common Online Data Analysis Platform (CODAP), a free Web-based data tool designed for students in grades 6-12 and higher, is continuously being updated and developed for diverse projects in data science, science education, and mathematics/statistics education (https://codap.concord.org/). Teachers and students can access CODAP without downloading software or registering for accounts. Although some Web-based technology tools provide certain features for free and require users to pay a fee to use additional features, CODAP has no hidden costs. Devices need only be connected to the Internet using an updated Web browser (Chrome is preferred). CODAP is not optimized (yet) for use on such touchscreen devices as tablets or iPads®.