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## Advancing Agency Through Conjecturing

Support students in conjecturing in ways that can promote their agency in the learning process.

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## Building on Student Assets Through Number Talks

This author used Number Talks as an asset-based approach to build on students’ prior knowledge and make connections across strategies in a Grade 7 mathematics class to address unfinished learning that occurred as a result of the COVID-19 pandemic.

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## Balloons and Weights: Integer Subtraction in Context

Support students in developing contextual reasoning about integer subtraction.

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## Teaching Is a Journey: From Apathy to Passion

This department provides a space for current and past PK-12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.

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## Using Number Talks to Compare Fractions

Using this strategy, a teacher facilitates a short conversation during which students verbally explain and justify reasoning. We have found that a coordinated series of number talks supports students’ reasoning when comparing fractions.

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## The Opportunities of No-Solution Problems

When students encounter unusual situations or exceptions to rules, they can become frustrated and can question their understanding of particular topics. In this article, I share some practical tips.

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## Triangle Center Technology

The paper discusses technology that can help students master four triangle centers -- circumcenter, incenter, orthocenter, and centroid. The technologies are a collection of web-based apps and dynamic geometry software. Through use of these technologies, multiple examples can be considered, which can lead students to generalizations about triangle centers.

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## Using Scaffolding to Scale-up Justifications

Encouraging students to justify earlier as they attempt to solve an open-ended task can lead to greater understanding and engagement.

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## Patterns on a Calendar

### big solutions to little problems

Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.

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## The Locker Problem: An Open and Shut Case

The Mathematics Teaching Practices open the door to helping students engage with meaningful mathematics.