Yes, The use of appropriate diagrams, drawings, and illustrations often helps a person to understand a problem and to explain a problem to others.
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If it is purely a Venn diagram problem then you cannot. Venn diagrams offer a way of solving certain types of problems graphically.
Direct Modeling; the use of manipulatives and drawings along with counting to represent directly the meaning of a story or problem, is the step that usually precedes invented strategies.
By finding a pattern the first time you solve a problem, then applying this pattern (algorithm) to solve similar problems.
Describe how you exhibit effective problem solving skills?
Defining the problem.