Four teachers and a teacher educator move from guided notes to strings in a series of problems that support students in increased engagement, reasoning, sense making, and problem solving.

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### Lybrya Kebreab, Sarah B. Bush, and Christa Jackson

Mathematics education can be positioned as fertile ground for societal change. This article deconstructs the complex work of supporting students’ positive mathematical identities by introducing pedagogical fluency to embody equitable beliefs and practices.

### Allyson Hallman-Thrasher, Susanne Strachota, and Jennifer Thompson

Teachers can use a pattern task to promote and foster generalizing in the mathematics classroom, presenting opportunities to build on students’ thinking and extending ideas to new contexts.

### Jon R. Star, Soobin Jeon, Rebecca Comeford, Patricia Clark, Bethany Rittle-Johnson, and Kelley Durkin

CDMS is a routine that allows teachers to organize instruction around students’ mathematical discussions and multiple problem-solving methods.

### Derek A. Williams, Kelly Fulton, Travis Silver, and Alec Nehring

A two-day lesson on taxicab geometry introduces high school students to a unit on proof.

### Michael S. Meagher, Michael Todd Edwards, and S. Asli Özgün-Koca

Using technology to explore a rich task, students must reconcile discrepancies between graphical and analytic solutions. Technological reasons for the discrepancies are discussed.

### Xi Yu

When learning is virtual and students’ webcams are turned off, the ways that we interacted in an in-person classroom fall short. These six strategies for hearing from all students during whole-group instruction and small-group work honor students’ need to keep their webcams off.

### Marina Goodman

Bridge the digital divide by teaching students a useful technological skill while enhancing mathematics instruction focused on real-life matrix applications.

### Maria de Hoyos

To ensure that technology use benefits all students, it must be accessible with respect to cost and ease of use. Moreover, technology needs to be integrated by considering it from the perspective of the curriculum.

### Elana Reiser

In this activity, students find the theoretical probabilities of winning a coin toss and a round of the rock, paper, scissors game. They next devise strategies to win and test them out. Students then compare the theoretical probabilities they found with the experimental probabilities.