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转化策略是数学思想的重要组成部分。它是从未知领域通过数学元素之间的因果联系向已知领域延伸,从中找出它们之间的本质联系,解决问题的一种思想方法。日本著名教育家米山国藏指出:“学生所学的数学知识,在进入社会后几乎没有什么机会应用,因而这种作为知识的数学,通常在走出校门后不到一两年就忘掉了。然而不管他们从事什么工作,唯有深深铭刻于头脑中的数学思想和方法等随时地发生作用,使他们受益终身。”小学
Transformation strategy is an important part of mathematical thinking. It is a way of thinking extending from the unknown field to the known field through the causal connection between mathematical elements, finding out the essential relation between them and solving the problem. The well-known Japanese educator Mishan Guosang pointed out: “The mathematical knowledge that students have learned has little chance of being applied to society. Therefore, mathematics as knowledge usually is forgotten in less than a year or two after going out of school. However, no matter what kind of work they do, only the mathematical ideas and methods deeply rooted in their minds can take effect at any time to benefit them for life. ”Primary