More from author Pershan, Michael
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We want our students to know that learning is as important a goal as problem solving in mathematics. Failing to solve a problem but learning something from studying the solution is not a failure at all. Because understanding a new idea is itself a creative process, as mathematically impressive as discovering it in the first place. And it’s also just as valuable – mathematics needs people who are able to learn challenging ideas with depth. If what we mainly value is problem solving, studying a solution is just giving up. But if we value achieving mathematical understanding, we can see the studying of a solution for what it is: a core mathematical act. And that’s why studying mathematical examples is so valuable.
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