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Sharing ideas and clarifying understanding
Students have:OpportunitiesEncouragementSupport for : speaking, writing, reading, and listening
They communicate to learn mathematicsThey learn to communicate mathematicallyIn mathematics classes, whenstudents communicate, they willreap dual benefits:
STANDARDS FOR SCHOOL MATHEMATICSNCTM
Instructional programs from pre-kindergarten through grade 12 should enable all students to:
Organize and consolidate their mathematical thinking through communicationCommunicate their mathematical thinking coherently and clearly to peers, teachers and othersUse the language of mathematics to express mathematical ideas precisely.
A Problem to Solve
Two Machines, One Job
Rons Recycle Shop opened when Ron bought a used paper-shredding machine. Business was good, so he added a new shredding machine. The old machine could shred a truckload of paper in 4 hours. The new machine could shred the same truckload in only 2 hours. How long would it take to shred a truckload of paper if Ron ran both shredders at the same time?