Two classic hands-on tasks address conceptual understanding of functions. The tasks center student discourse and rough draft mathematics as students grapple with the relationship between input and output.
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Filling Vases and Making Tanks
Jana Dean
Crack the Code
Karen Zwanch and Bridget Broome
This game teaches algebraic generalizations through differentiated play in pairs, small groups, or as a whole class and uses manipulatives to bridge numerical and algebraic thinking.
Growing TTULPs through Your Lessons
Jonathan D. Bostic, Brooks Vostal, and Timothy Folger
All students have strengths that can be leveraged through universally designed instruction.
Hook and Hold
Jennifer R. Brown
Set sail to explore powerful ways to use anchor charts in mathematics teaching and learning.
Learning What Works: Promoting Small-Group Discussions
Anna F. DeJarnette, Jennifer N. Dao, and Gloriana González
Elicit productive discourse from students as they work through a bicycle rate problem.
Oki-Doku: Number Puzzles
Cristina Gomez and Dani Novak
Consider using these problems to help students develop number and operation sense in a simple and fun way.
Choreographing Patterns and Functions
Zachary Hawes, Joan Moss, Heather Finch, and Jacques Katz
Young students dance their way through a multifaceted differentiated approach to early algebra instruction.
Developing Quantitative Mental Imagery
Jonathan N. Thomas and Pamela D. Tabor
Use these descriptions of diagnostic and instructional tools to help young learners move beyond reliance on physical materials to negotiate arithmetic tasks.
Making 10 My Way
Laura Bofferding, Melissa Kemmerle, and Aki Murata
Focusing on differentiation, three teachers push all their kindergartners toward recognizing relationships among combinations.
The Power of Problem Choice
Katherine A. G. Phelps
Fourth- and fifth-grade learners can use differentiated number sets within CGI problem structures to add and subtract fractions with unlike denominators.
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