Process-oriented, question-asking techniques provide a framework for approaching modern challenges, including modality pivots and student agency.
Madelyn W. Colonnese
A teacher implements this type of personal prose in the classroom to help students make sense of fractions and communicate ideas.
Min Wang, Candace Walkington, and Koshi Dhingra
An example of an after-school club activity gives educators some tools and suggestions to implement such an approach in their schools.
Katherine Baker, Naomi A. Jessup, Victoria R. Jacobs, Susan B. Empson, and Joan Case
Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.
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.
Sandra M. Linder and Amanda Bennett
This article presents examples of how early childhood educators (prek-2nd grade) might use their daily read alouds as a vehicle for increasing mathematical talk and mathematical connections for their students.
Julie M. Amador, David Glassmeyer, and Aaron Brakoniecki
This article provides a framework for integrating professional noticing into teachers' practice as a means to support instructional decisions. An illustrative example is included based on actual use with secondary students.