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比例是小学数学“数与代数”的最后一块内容,通过比例的学习,运用比例相关知识来解决问题能打开学生解决问题新的视角,开拓学生的思维。在有形的比例知识的线索下,隐藏着无形的“对应”数学思想与数学方法。对应是人们对两个集合元素之间的联系的一种思想方法。在比例中能本着对应的思想方法来看待问题,挖掘内在联系,参透领悟比例中的对应,往往能化繁为简,化难为易,取得意想不到的收获。
The ratio is the last piece of elementary mathematics “number and algebra ”. Through proportional study and the application of proportion-related knowledge to solve the problem, students can open a new perspective to solve the problem and develop students’ thinking. Under the clue of the tangible proportion of knowledge, hidden in the invisible “Correspondence ” mathematical thinking and mathematical methods. Correspondence is a way of thinking that people relate to two sets of elements. In the proportion of the corresponding way of thinking can look at the problem, tap the internal relations, through the perceived proportion of the corresponding, often can be complicated, simplification is easy, achieved unexpected results.