An online activity provides instructional strategies that can help students engage in mathematical modeling and autonomous learning.

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## Digital Learning Routes: An Example of Mathematical Modeling

### Salomé Martínez, Flavio Guiñez, and Darío González

## Let’s Give Them Something to Talk About

### Nicola M. Hodkowski and Carolyn Carhart-Quezada

Different types of open tasks can be used as a tool to promote rigorous student mathematical discourse and considerations for facilitation.

## Two Technology Frameworks: Their Use in Lesson Design

### Elizabeth B. Harkey, Angela T. Barlow, and Victoria Groves-Scott

The authors used two technology frameworks to design three seventh-grade mathematics lessons, focusing on opportunities to address collaboration, authenticity, or personalization.

## Build It! The Rectangle Game

### Theresa Wills, Jennifer Suh, Kate Roscioli, Amanda Guzman, Jennifer Everdale, and Sandra Lee

Discover technology-enhanced, game-based tasks and student generalizations.

## The Do Nothing Machine

### Keith Dreiling

The Trammel of Archimedes traces an ellipse as the machine’s lever is rotated. Specific measurements of the machine are used to compare the machine’s actions on GeoGebra with the graph of the ellipse and an ellipse formed by the string method.

## Using Mathematics to Design a Droid

### George J. Roy, Matthew Cunningham, and Kenneth Rafanan

Teachers have the opportunity to make mathematics relevant. We leveraged the popularity of *Star Wars* to engage students in exploring and connecting two dimensions and three dimensions to careers in toy design.

## Algebraic Thinking in the Context of Spatial Visualization

### Arsalan Wares and David Custer

This pattern-related problem, appropriate for high school students, involves spatial visualization, promotes geometric and algebraic thinking, and relies on a no-cost computer software program.

## Improving Our Criticism of Technology in Mathematics Education

### Craig J. Cullen and Joshua T. Hertel

Rather than centering technology, we need to view tools as raw materials that students can use strategically to build mathematical knowledge.

## Turning Trucks Into a Meaningful Geometry Exploration

### Kate Roscioli and Jennifer Suh

Learn how to engage students in geometry concepts through a real-world task that leverages GeoGebra to provide students with generalization and authorship opportunities.

## Enacting Co-Craft Questions Using Flexible Teaching Platforms

### T. Royce Olarte and Sarah A. Roberts

Teachers can implement a mathematics language routine within in-person/hybrid and remote instructional contexts.