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Teaching Problem-Solving Strategies From Text written by Daniel T. Dolan and James Williamson Problem Solving Strategies GUESS, CHECK, and REVISE Guess the answer to the problem and then Check to see if your guess is close to the correct answer. To use this strategy you must be willing to make a guess. Construct a Table Make a table by identifying the unknowns in the problem, labeling the table correctly and making entries for the unknowns. Write a number sentence for the table. Make an Organized List Construct an organized list containing all the possibilities for a given situation. Use the process of elimination to exclude specific cases Look for a Patterns Identify the pattern and determine the missing terms in a sequence Construct a sequence by utilizing a rule Make a Model (Draw a Picture/Diagram, Use Objects or Act it Out) Uses physical objects or drawings to help solve problems Decide on a model that is appropriate for the problem and use in solving the problem Solve a Simpler (or similar) Problem (Break Into Smaller Pieces) Change the form so that the problem becomes more understandable, a method of solution is more easily discovered, or the solution process is facilitated Use different numbers or separate the problem into distinct sub-problems Work Backwards The idea is that certain problems with several steps resulting in a known value can most easily be solved by working backwards one step at a time. (“Mike It Simpler” by Carol Meyer and Tom Sallee) Write an Equation Represent the unknown with variable Translate the problem into an equation and then solve for the unknown. Lenny VerMaas [email protected] http://manila.esu6.org/lvermaas