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Routines for Learning Modeling Practices and Content

The authors share a teacher-designed mathematical modeling routine geared to support teachers and to leverage opportunities for their students in learning important modeling practices and mathematical content.

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Discovering Area Models: The Giant Sicilian Pizza Task

This hands-on task, featuring differentiation and open-ended learning, sets up students to discover area models for themselves. Organized around NCTM’s eight teaching practices from Principles to Actions, this article describes the task’s setup and implementation.

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GPS: Diving into Dolphin Data

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.

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

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Comparing Probabilities: Rock, Paper, Scissors, and Coin Toss

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.

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GPS: Perceiving Variability in Graphs

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.

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Puddle Play!

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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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Integrating Machine Learning in Mathematics Classrooms

Explore a lesson in which students used conditional probability to conjecture a predictive text algorithm, which, if translated into a coding language, could teach a computer to predict what a user wants to type, given the previous words in a message.

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Visualizing the Arithmetic Mean

The two provided activities are geared for students in middle school to facilitate and deepen their understanding of the arithmetic mean. Through these activities, students analyze visual representations and use a special type of statistical thinking called transnumerative thinking.