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

### Shiv Karunakaran, Ben Freeburn, Nursen Konuk, and Fran Arbaugh

Preservice mathematics teachers are entrusted with developing their future students' interest in and ability to do mathematics effectively. Various policy documents place an importance on being able to reason about and prove mathematical claims. However, it is not enough for these preservice teachers, and their future students, to have a narrow focus on only one type of proof (demonstration proof), as opposed to other forms of proof, such as generic example proofs or pictorial proofs. This article examines the effectiveness of a course on reasoning and proving on preservice teachers' awareness of and abilities to recognize and construct generic example proofs. The findings support assertions that such a course can and does change preservice teachers' capability with generic example proofs.

### Jane-Jane Lo and Yi-Yin Ko

Develop mathematical knowledge by analyzing common student errors and discussing arithmetic, algebraic, and pictorial reasoning.

### Lisa A. Dieker, Michelle Stephan, and Jennifer Smith

A conceptual framework can show a general education and a special education teacher how to team teach so that a range of students can learn together in today's classroom.

### David Rock and Mary K. Porter

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