Learning trajectories help teachers challenge children at just the right level for their best learning.
Douglas H. Clements, Shannon S. Guss, and Julie Sarama
Sabrina De Los Santos Rodríguez, Audrey Martínez-Gudapakkam, and Judy Storeygard
An innovative program addresses the digital divide with short, engaging videos modeling mathematic activities sent to families through a free mobile app.
Deanna Pecaski McLennan
Providing students the autonomy and choice to learn when productive struggle becomes unproductive is a core teaching belief in the author’s classroom. This article tells the story of one student’s ability to know and express when his frustration was too great and how he chose to walk away from his work and return the next day.
Nat Banting and Chad Williams
This article examines the mathematical activity of five-year-old Liam to explore the difference between the mathematics games designed for children and the children's games that emerge through playful activity. We propose that this distinction is a salient one for teachers observing mathematical play for evidence of mathematical sense making.
J. Jeremy Winters, Kristin E. Winters,, and Dovie L. Kimmins
Use robots and coding to engage K–2 students with specific mathematics standards.
LouAnn H. Lovin
Moving beyond memorization of probability rules, the area model can be useful in making some significant ideas in probability more apparent to students. In particular, area models can help students understand when and why they multiply probabilities and when and why they add probabilities.
Tracy E. Dobie and Miriam Gamoran Sherin
Language is key to how we understand and describe mathematics teaching and learning. Learning new terms can help us reflect on our practice and grow as teachers, yet may require us to be intentional about where and how we look for opportunities to expand our lexicons.
The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions related to mathematical depth in preschool, spiral review in the upper elementary grades, ideas for differentiation in middle school, and projects for high school algebra.