Many students have a dominant part-whole conception of fractions. We examine why this is problematic and explore strategies to move students beyond this limitation.
Beware of “Gaps” in Students’ Fraction Conceptions
Patrick L. Sullivan, Joann E. Barnett, and Kurt Killion
Building Algebraic Procedures From Concepts: Like Terms
Leah M. Frazee and Adam R. Scharfenberger
This task sequence for adding and subtracting like terms—grounded in the concepts of equivalence and algebra as generalized arithmetic—helps students see connections between concepts and procedures in algebra.
Modeling exponential growth with crochet.
GPS: Good Measures
Daniel K. Siebert and Monica G. McLeod
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.
Let’s Give Them Something to Talk About
Nicola M. Hodkowski and Carolyn Carhart-Quezada
Different types of open tasks can be used as a tool to promote rigorous student mathematical discourse and considerations for facilitation.
Problems to Ponder
Chris Harrow and Justin Johns
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.
Reconsidering Mathematical Authority
Michael D. Hicks, Jessica Pierson Bishop, Christina Koehne, and Mai Bui
Who has mathematical authority in your classroom, and what does authority look like? Find out different ways you can help students gain authority.
Build It! Imagining Integers
Nicole M. Wessman-Enzinger
Support imagination in your mathematics classroom with negative integers.
Build It! The Rectangle Game
Theresa Wills, Jennifer Suh, Kate Roscioli, Amanda Guzman, Jennifer Everdale, and Sandra Lee
Discover technology-enhanced, game-based tasks and student generalizations.
Construct It! Intersecting Language and Mathematics with Interlocking Cubes
Basil Conway IV and Marjorie Mitchell
Students learn to build their own numbering system by recognizing and identifying patterns with interlocking cubes in different place values.