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在数学教学中,为了使学生从正、反两个方面加深对于公式、法则的理解,培养学生灵活运用所学知识的能力,一个可取的方法就是——“把过程倒过来”。这里所谓“倒过来”,是指对于一个数学公式或者法则,不只要讲它的正面,也要讲到它的反面,不只能运用某些公式、法则求出几个数或者式的和、差、积、商,也能运用这些公式、法则把一个数或者式分解为几个数或者式的和、差、积、商的形式。这就好比一位熟练工人,对于他所操纵的机器,拆得开,装得上,对机器的性能了如指掌,实际操作起来就能运用自如。因此,正确地使用“把过程倒过来”的方法,就能使学生对于所学的公式、法则有一个全面和深刻的了解,从而在处理当前所面临的问题时,就能从不同的角度出发,灵活地运用这些公式、法则。
In mathematics teaching, in order to make students deepen their understanding of formulas and laws from positive and negative aspects, and cultivate their ability to use their knowledge flexibly, it is advisable to “reverse the process.” The term “upside down” here means that for a mathematical formula or law, not only the positive side but also the negative side of it, not only can some formulas and laws be used to find out the sum or difference of several numbers , Product, business, can also use these formulas, the law of a number or formula is divided into several numbers or the sum of, difference, product, quotient. It is like a skilled worker who has the ability to manipulate and manipulate the machinery he has manipulated, disassembled and loaded, knowing the performance of the machine well. Therefore, the proper use of “putting the process upside down” can give students a comprehensive and profound understanding of the formulas and laws they learn so that they can take a different perspective when dealing with the problems they face today , Flexible use of these formulas, laws.