类比推理是以两个对象都有某此相同或类似的属性,并且其中一个对象还有另外的某些属性作为前提,推出另一个对象也有这些相同或类似属性的思维形式。在数学教学中,恰当地运用类比推理,往往使学生茅塞顿开,化难为易。所谓恰当地运用类比推理,就是要抓住问题的实质或关键进行类比。现举例说明这一问题。例如:我们经常见到圆木、钢管等堆成象下图的形状,通常用下面的算法求总根数: Analogical reasoning is that two objects have some of the same or similar attributes, and one of the objects has some other attributes as a precondition, the introduction of another object also has these same or similar attributes of the thinking. In mathematics teaching, the proper use of analogical reasoning, often make the students open up, the difficulty is easy. The so-called proper use of analogical reasoning is to grasp the essence of the problem or analogy. Here is an example of this problem. For example: we often see the shape of log, logs and other heap image below, usually using the following algorithm to find the total number of roots: