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His final stage is abstract thinking which is beyond the concrete stage. The abstract thinker can invent, think critically about issues and problems, and extend the learning into new areas. This stage is usually reached about age 15 and in many cases some people never reach it. A good measure of telling if a student is in concrete thinking or abstract thinking is if they need to count on their fingers or use objects to count to do a math problem they are concrete thinkers. Abstract thinkers can do it in their heads and use logical thinking to work out problems.

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