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

### Kelly Hagan and Cheng-Yao Lin

April 2020's GPS department provides tasks for each grade band that invite students to reason with age-appropriate number theoretic concepts.

### Erin E. Baldinger, Matthew P. Campbell, and Foster Graif

Students need opportunities to construct definitions in mathematics. We describe a sorting activity that can help students construct and refine definitions through discussion and argumentation. We include examples from our own work of planning and implementing this sorting activity to support constructing a definition of linear function.

### Patrick Sullivan

Is the “Last Banana” game fair? Engaging in this exploration provides students with the mathematical power to answer the question and the mathematical opportunity to explore important statistical ideas. Students engage in simulations to calculate experimental probabilities and confirm those results by examining theoretical probabilities

### Joel Amidon and Matt Roscoe

A monthly set of problems is aimed at a variety of ability levels.

### Joel Amidon and Matt Roscoe

A monthly set of problems is aimed at a variety of ability levels.

### Joel Amidon and Matt Roscoe

A monthly set of problems is aimed at a variety of ability levels.

### Kimberly M. Lilienthal

Exploring airport traffic, usage, hours of operation, and security statistics are all ways to model and bring relevance to math. Students soar while exploring the mathematics of aircraft: dimensions, cargo, fuel, and passenger capacity. Comparing two airports or aircraft would be valuable ways to extend their mathematical journey.

### Leigh Haltiwanger and Amber M. Simpson

Allowing students to write in mathematics class can promote critical thinking, illustrate an awareness of mathematical connections, and result in clear communication as they share ideas comfortably with peers.

### David Rock and Joel Amidon

A monthly set of problems is aimed at a variety of ability levels.