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随着科学技术和数学本身的不断发展,中小学数学教学内容必须不断更新,用比较先进的教学内容来逐步替代比较陈旧的教学内容,这是必然的规律。先进的教学内容,表现在能够比原来的教学内容解决更为广泛的问题,而且解决问题的方法更为简捷。一个明显的例子是算术中的应用题。有些算术应用题,限用算术方法来解,就很不简单。而改用代数方程或方程组来解,就有一定的思路,一定的解法,所解决的问题范围更为广阔,解决问题的方法更为简捷。这就是代数解法比算术解决先进之处。当然,算术解法并
With the continuous development of science and technology and mathematics itself, the content of mathematics teaching in primary and secondary schools must be constantly updated. The use of more advanced teaching content to gradually replace older teaching content is an inevitable law. The advanced teaching content is manifested in solving more extensive problems than the original teaching content, and the method of solving problems is more simple. An obvious example is the application of arithmetic. Some arithmetic problems, limited to use arithmetic methods to solve, it is not simple. The use of algebraic equations or equations to solve, there is a certain idea, a certain solution, the scope of the problem is more broad, the solution to the problem is more simple. This is where algebraic solutions are better than arithmetic. Of course, arithmetic solutions and