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Thinking methods are at the heart of the chess struggle, yet most players devote little conscious effort to improving their calculating ability. Much of the previous literature on the subject has presented idealized models that have limited relevance to the hurly-burly of practical chess, or else provide little more than and hoc suggestions. Here, experienced trainer Valeri Beim strikes a balance by explaining how to use intuition and logic together to solve tactical problems in a methodical way. He also offers advice on when it is best to calculate "like a machine', and when it is better to rely on intuitive assessment.