Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to email@example.com. If published, the authors of problems will be acknowledged.
The Math Learning Center Content Development Team and J. Michael Shaughnessy
Rick Anderson and Peter Wiles
Recognizing the complex nature of students’ geometric reasoning, we present guidelines and suggestions for implementing a Guess My Shape minilesson that focuses students’ attention on properties and attributes of geometric shapes.
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.
Deanna Pecaski McLennan
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.
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.
Joanne Caniglia and Michelle Meadows
Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.
William DeLeeuw, Samuel Otten, and Ruveyda Karaman Dundar
The planful use of boardspace can help move the structure and regularity to the visual realm and make it more readily perceivable by students.
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.