Off You Go is a PK–12 mathematical routine that leverages children’s home resources and assets to support them in developing conceptual precision. We provide a guide for how to adapt this routine to engage students at any grade in argumentation and attending to precision.
Jen Munson, Geetha Lakshminarayanan, and Thomas J. Rodney
This article describes how visual representations can help develop students’ reasoning and proof skills.
José N. Contreras
Molly Rawding and Steve Ingrassia
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.
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.
Derek A. Williams, Kelly Fulton, Travis Silver, and Alec Nehring
A two-day lesson on taxicab geometry introduces high school students to a unit on proof.
Deanna Pecaski McLennan
Lindsay Vanoli and Jennifer Luebeck
Engaging mathematics students with peers in analyzing errors and formulating feedback improves disposition, increases understanding, and helps students uncover and correct misconceptions while informing opportunities for targeted instruction.
Josephine Derrick and Laurie Cavey
Challenging to learn, proof can be equally challenging to teach. Insights gleaned about students’ conceptions of proof from 10 high school students who completed four proof-related tasks during one-on-one interviews led to a few instructional takeaways for teachers.
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.