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I teach Mathematics to students aspiring to succeed at the Joint Entrance Examination conducted each year for admission to the Indian Institutes of Technology. The examination is easily one of the toughest at the pre-university level in the entire world and students begin preparing as early as the 9th Standard. The questions are much more difficult than those encountered elsewhere. And I have found a very disturbing trend, even among very bright students. When they see a question, they immediately plunge into attempting to solve it. And when they do, sooner or later, if they have not thought things through, they find themselves at a dead end, unable to finish what they had started.
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