Problem Solving and Modeling. Day 5: 6-8 Algebra MSTA Region 11 Teacher Center. Problem Solving & Modeling. Goals Teachers helping students develop generalization abilities – fundamental to algebraic thinking – and mathematical connections through representation and translation.
Day 5: 6-8 Algebra
MSTA Region 11 Teacher Center
Teachers helping students develop generalization abilities – fundamental to algebraic thinking – and mathematical connections through representation and translation.
Teachers learn how to unpack student solutions to problem solving problems by orchestrating meaningful discussions.
Teachers helping students elicit their mathematical thinking through modeling.
Lesh & Doerr (2003)
Why are gears useful? Where are they used? For what purpose?
What is the gear ratio between the yellow and red gears?
Why might it be useful to string several gears together?
String all 4 gears together.
Engineers working on wind turbines must decide what gears to use in their wind turbine. They know that the blades turn at one speed and the generator needs to turn at a different speed. What they don’t know is how to figure out how fast gears rotate when linked based on their size.
Please provide a general procedure for the engineers to use that will help them with their problem. Use the question below as a prompt.
Be prepared to present your solutions to the engineers.
(Stein, et al., 2008)
A sixth-grade class needs 5 leaves each day to feed its 2 caterpillars. How many leaves would they need each day for 12 caterpillars? (NAEP, 1996)
Use drawings, words, or numbers to show how you got your answer.
You’ve decided to implement the problem
In your teams:
More model-eliciting activities can be found at: