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.
S. Asli Özgün-Koca and Monica G. McLeod
The Math Learning Center Content Development Team and J. Michael Shaughnessy
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 firstname.lastname@example.org. If published, the authors of problems will be acknowledged.
Deanna Pecaski McLennan
For the Love of Mathematics
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.
Dane Camp, John Carter,, and David Masunaga
Song parodies are a fun way to engage others with mathematical topics. The challenge, of course, is finding a song and lyrics that fit just right. While teaching together in Honolulu, we stumbled across a popular song that turned out to be a math parody in disguise! You will notice that we have not changed the words, just how the words were displayed. You might want to try singing this yourself or sing along with the YouTube version: https://youtu.be/d1mqNdZ0obA. What do you notice? What do you wonder?
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.
Micah S. Stohlmann
An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.
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?
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.
Aline Abassian and Farshid Safi
This article dives into the importance of engaging students in investigating the mathematics of businesses that pressure their members to recruit new members as a basis for success, also referred to as multi-level marketing (MLM). The mathematics behind these businesses are discussed, and a sample student task is given.