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学生发生判断错误的原因是多方面的,归纳起来主要有以下几点:一、对个别字词的含义理解不透。数学语言具有准确性和严密性等特点,如果对其中的关键字词的含义理解不透,就会导致判断错误。例如:“有一组对边平行的四边形叫梯形。”不少学生忽略“只”字,判断为正确,使“梯形”的外延扩大了。二、知识混淆不清。学生只看到知识之间的相同点,而看不到它们本质上的区别,因而对相似的内容辨认不清,造成判断错误。例如:“平角的两条边成一条直线,直线也是180°。”不少学生误认为正确。
There are many reasons why students make mistakes in judging. The main points are as follows: First, the meaning of individual words can not be understood. Mathematical language has the characteristics of accuracy and rigor. If you can not understand the meaning of key words, it will lead to wrong judgment. For example: “There is a set of trapezoid parallel to the side called” trapezoid. “Many students ignore” only “word, judged to be correct, the” trapezoidal “extension of the expansion. Second, the confusion of knowledge. Students see only the same point of knowledge, but do not see the essential difference between them, so the similar content is not clear, resulting in misjudgment. For example: ”The two sides of a straight angle form a straight line, and the straight line is also 180 °." Many students mistakenly believe that it is correct.