This method using the area of regular polygons inscribed in circles to approximate a value for pi is similar to the method used by Archimedes using circumferences.
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Daniel K. Siebert and Monica G. McCleod
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.
Matthew Kandel
Students determine the usable lifespan of a pencil in this mathematical modeling activity.
Justin Gregory Johns and Chris Harrow
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 mtlt@nctm.org. If published, the authors of problems will be acknowledged.
Stephanie D. Sigmon, Kelly Q. Halpin, Damien J. Ettere, and Jennifer Suh
This article models how to plan and facilitate implementing the same task in two sixth-grade classrooms with two different learning goals using the Five Practices structure.
Sheldon P. Gordon and Michael B. Burns
We introduce variations on the Fibonacci sequence such as the sequences where each term is the sum of the previous three terms, the difference of the previous two, or the product of the previous two. We consider the issue of the ratio of the successive terms in ways that reinforce key behavioral concepts of polynomials.
Emily Dennett
The author uses mathematical concepts to inform her knitting. Her knitting also helps her to experience mathematical concepts in new ways.
Eric Milou and Steve Leinwand
The standard high school math curriculum is not meeting the needs of the majority of high school students and that serious consideration of rigorous alternatives is a solution whose time has come.
Charles F. Marion
The simplest of prekindergarten equations, 1 + 2 = 3, is the basis for an investigation involving much of high school mathematics, including triangular numbers, arithmetic sequences, and algebraic proofs.
Michelle T. Chamberlin and Robert A. Powers
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.
