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

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### Patrick Sullivan

Draw on two simulations to introduce compound events and help your class make connections between experimental and theoretical probabilities.

### Jere Confrey, Meetal Shah, and Alan Maloney

Three learning trajectories and their connections show how to promote vertical coherence in PK–12 mathematics education.

### Karen Fonkert

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.

### S. Asli Özgün-Koca, Kelly Hagan, Rebecca Robichaux-Davis, and Jennifer M. Bay-Williams

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.

### Gina Kling and Jennifer M. Bay-Williams

Basic fact fluency has always been of interest to elementary school teachers and is particularly relevant because a wide variety of supplementary materials of varying quality exist for this topic. This article unpacks eight common unproductive practices with basic facts instruction and assessment.

### S. Leigh Nataro

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

### Erin Smith, Jo Hawkins-Jones, Shelby Cooley, and R. Alex Smith

Teachers can use shared story reading with interdisciplinary lessons to simultaneously advance students’ mathematics, literacy, and social-emotional competencies. In this article, we use the book, *Two of Everything*, to illustrate how this routine can be used in K–2 classrooms.

### Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton

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.