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.
Odd Shape Out
big solutions to little problems
Jo Ann Cady and Pamela Wells
Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.
Hook and Hold
Jennifer R. Brown
Set sail to explore powerful ways to use anchor charts in mathematics teaching and learning.
Difference Not Deficit: Reconceptualizing Mathematical Learning Disabilities
Katherine E. Lewis
Mathematical learning disability (MLD) research often conflates low achievement with disabilities and focuses exclusively on deficits of students with MLDs. In this study, the author adopts an alternative approach using a response-to-intervention MLD classification model to identify the resources students draw on rather than the skills they lack. Detailed diagnostic analyses of the sessions revealed that the students understood mathematical representations in atypical ways and that this directly contributed to the persistent difficulties they experienced. Implications for screening and remediation approaches are discussed.
Differentiated Instruction in Shared Mathematical Contexts
Maryl Gearhart and Geoffrey B. Saxe
Try these methods for integrating diverse learners.
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.
The Impact of Open-Ended Tasks
Dorothy Varygiannes
This department publishes brief news articles, announcements, and guest editorials on current mathematics education issues that stimulate the interest of TCM readers and cause them to think about an issue or consider a specific viewpoint. This month's guest editorial provides the platform for individuals to reflect on the positive impact that open-ended tasks can play in the teaching and learning of early mathematics. Classroom examples of open-ended expectations establish the immediate tie to fostering both 21st century skills and the Common Core State initiatives.
Bingo! Select Games for Mathematical Thinking
Christa Jackson, Cynthia Taylor, and Kelley Buchheister
Incorporating math games into the classroom will help your students become motivated problem solvers.
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