[9급 국가직 영어 2010년 2번]

Some students make the mistake of thinking that mathematics consists solely of solving problems by means of formulas and rules. ① To become successful problem solvers, however, they have to appreciate the theory, recognizing the logical structure and reasoning behind the mathematical methods. ② To do so requires a precision of understanding the exact meaning of a mathematical statement and of expressing thoughts with accuracy and clarity. ③ However, this precision cannot be achieved without real appreciation of the subtleties of language. ④ In fact, anyone can advance much beyond mere problem solving tasks without manipulating mathematical formulas and rules. That is, superior ability in the use of language is a prerequisite to become successful problem solvers.