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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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## Exploratory Writing to Support Mathematical Sense Making

A teacher implements this type of personal prose in the classroom to help students make sense of fractions and communicate ideas.

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## The Discovery of Wonderful Ideas

This article presents an example of discovering an idea through creative play. After some trial and error, I drew a wonderful image, which I later learned was a two-dimensional view of a four-dimensional shape called tesseract.

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## The Importance of Play in Middle School Mathematics

Using question 28 from the May Problems to Ponder in volume 114, the author and her seventh- and eighth-grade students launched into a discussion of creativity, linearity, piecewise, and recursive definitions of functions. This pattern to ponder provided rich mathematical opportunities for all students in my middle school classroom.

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## Five Rs to Promote Equitable Norms and Culture

As mathematics teachers, we establish several norms, expectations, rules, and daily routines that result in culture building. Hence, in my classes, I decided to center the norms and culture building around five Rs: (1) rigor, (2) relevance, (3) responsiveness, (4) relationship, and (5) responsibility. Using these five Rs provided a norm to engage in our mathematical activities and reflections and established the expectation that everyone would contribute to mathematics teaching and learning (Boyce et al. 2021). Thus, this reflection describes how articles published this year (2021) in Mathematics Teacher: Learning and Teaching PK–12 (MTLT

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## Puddle Play!

For the Love of Mathematics

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## Student Engagement with the “Into Math Graph" Tool

We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.

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## Promoting Discourse: Fractions on Number Lines

Examine fourth graders’ thinking about the unit, partitioning, order, and equivalence on the number line and consider ways to orchestrate mathematical discussions through the Five Practices.

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## Inquiry + Math Workshop Model = Success!

A version of math workshop centrally positions students to inquire mathematically.

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## Learning without Borders

Ear to the Ground features voices from various corners of the mathematics education world.