《义务教育数学课程标准》在总体目标中明确提出:“学生能获得适应未来的社会生活和进一步发展所必需的重要数学知识以及基本的数学思想方法和必要的应用技能。”这一总体目标贯穿于小学和初中,这充分说明了数学思想方法的重要性。在我们的数学教材中,蕴含着很多的数学思想方法,如,符号化思想、数学模型思想、统计思想、化归思想、组合思想、变换思想、对应思想、极限思想、集合思想、转化建模的思想以及猜想、验证的方法和反证法等。化归思想是人们面对数学问题时,如果直接应用已有知识不易解决时,需要把解决的问题进行转化,把它归结为能够解决或比 The standard of compulsory education mathematics curriculum clearly states in its overall goal: “Students can acquire important mathematical knowledge and basic mathematical thinking methods and necessary application skills that are necessary for future social life and further development.” This overall The goal runs through primary and secondary schools, which fully demonstrates the importance of mathematical thinking and methods. In our mathematics textbooks, there are a lot of methods of mathematical thinking, such as symbolic thinking, mathematical model thinking, statistical thinking, naturalized thinking, combinatorial thinking, transformational thinking, correspondence thinking, extreme thinking, collective thinking, transformation modeling Ideas and conjectures, verification methods and evidence and so on. Returning to thinking is that people face the mathematical problems, if the direct application of existing knowledge is not easy to solve, you need to transform the problem to be solved attributed to be able to solve or than