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“鸡兔同笼”是一类问题的总称,用哪种方法教,哪种方法更易让学生接受,这要根据学生的年龄特征来判断。“鸡兔同笼”的教学要重视向学生渗透数学思想方法,关注学生的学习过程,它不能仅仅停留在知识的层面,它在培养学生发散性思维以及化归、枚举、数形结合、假设、建模等数学思想方法,还有关注孩子思维成长方面具有较高的研究价值。而这些数学思想方法对不同年级的学生来说,会产生不一样的选择倾向。教学中要让学生在充分感知的基础上,通过观察、思考、发现、比较,应用画图、列表、假设、方程等方法来解决,揭示感性经验背后理性抽象的数学经验,让学生获取具有概括性、普遍性的数学知识,实现从感性到理性的转变。
“Chicken rabbit with the cage ” is a general term for a class of problems, which method to use to teach, which method is more acceptable to students, which should be based on the age characteristics of students to judge. It should not only stay at the level of knowledge, it is in developing students’ divergent thinking as well as the return, enumeration, digital Combination, hypothesis, modeling and other mathematical thinking methods, as well as attention to the growth of children’s thinking has a high research value. However, these mathematical thinking methods will produce different choices for different grades of students. Teaching should be based on the full perception of students, through the observation, thinking, discovery, comparison, the use of drawing, list, hypothesis, equation and other methods to solve and reveal the emotional experience behind the rational abstract mathematical experience, so that students get a summary , Universal mathematical knowledge, to achieve the change from perceptual to rational.