Learning trajectories help teachers challenge children at just the right level for their best learning.
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Challenging but Achievable Math for Young Children
Douglas H. Clements, Shannon S. Guss, and Julie Sarama
Math Chat Opportunities Abound!
Alice Aspinall
This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.
Empowering Latinx Families to Help Children with Mathematics
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.
Puddle Play!
Deanna Pecaski McLennan
Student Engagement with the “Into Math Graph" Tool
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.
Walking Away from a Mathematics Problem Is OK
Zachary Champagne
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.
Asked & Answered
Each month Asked & Answered highlights selected threads from the MyNCTM community. MyNCTM is an online community where NCTM members can ask questions, start and join discussions, and interact with education experts. We encourage you to join the conversation at https://my.nctm.org.
Conditional Reasoning Online with Mastermind
Sean P. Yee, George J. Roy, and LuAnn Graul
As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.
GPS: Equivalent Expressions
Matt Enlow and S. Asli Özgün-Koca
Equality is one of the main concepts in K–12 mathematics. Students should develop the understanding that equality is a relationship between two mathematical expressions. In this month's GPS, we share tasks asking students one main question: how do they know whether or not two mathematical expressions are equivalent?
Investigating Using Lesson Study
Scott Corwin, Michelle Cascio, Katherine Emerson, Laura Henn, and Catherine Lewis
Our middle school mathematics department used lesson study to investigate how to introduce fractions division to our sixth-grade students. We highlight our learnings during the Study and Plan phases, describe our observations during the lesson, and provide tips for educators interested in using lesson study to study their own content.
