This piece is a rumination on flow, pattern, and edges/transitions, focusing on polynomials of odd degree and overlaying/underlaying the flow of the graphical structure with a rainbow to suggest the central importance of queer visibility in mathematics.
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.
S. Megan Che, Juliana Utley,, and Stacy Reeder
This article illustrates ways to extend Two Ways into high school mathematics content and advantages of doing so.
Trena L. Wilkerson
How has NCTM leadership shaped the evolution of teaching and learning mathematics? What are your expectations for NCTM leadership?
Sophia Kovalevsky's story
George J. Roy, Jessica S. Allen, and Kelly Thacker
In this paper we illustrate how a task has the potential to provide students rich explorations in algebraic reasoning by thoughtfully connecting number concepts to corresponding conceptual underpinnings.
We modify a traditional bouncing ball activity for introducing exponential functions by modeling the time between bounces instead of the bounce heights. As a consequence, we can also model the total time of bouncing using an infinite geometric series.
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.
Rebecca Vinsonhaler and Alison G. Lynch
This article focuses on students use and understanding of counterexamples and is part of a research project on the role of examples in proving. We share student interviews and offer suggestions for how teachers can support student reasoning and thinking and promote productive struggle by incorporating counterexamples into the classroom.
Gabriel Matney, Julia Porcella, and Shannon Gladieux
This article shares the importance of giving K-12 students opportunities to develop spatial sense. We explain how we designed Quick Blocks as an activity to engage our students in both spatial reasoning and number sense. Several examples of students thinking are shared as well as a classroom dialogue.