鞍山师范学院学报

在数学的发展过程中,对数学成果本身的收集、分析与说明较为重视,发表了许多论著,但对数学思想方法的考察与研究却有所忽略.这在一定程度上影响了数学方法的取得和数学人才的培养.因此,必须对数学思想方法的研究对象及内容等进行深入思考.本文主要讨论了中学数学所涉及的方程思想,首先对数学思想方法的含义进行了解释,引出方程思想并进行阐述;其次举例说明了方程思想在代数、几何和概率三方面的应用;最后总结应用方程思想的关键.

During its development,the collection,analysis and explanation of the mathematical results are more important,and many works have been published.However,the investigation and research of mathematical thinking methods have been ignored.To a certain extent,the acquisition of mathematical achievements and the cultivation of mathematical talents have been affected.Therefore,the mathematical thinking methods should be thought deeply.This paper is mainly talking about the equation thinking which involved in middle school.Firstly,it explained the concept of mathematical thinking method,leading to the equation thinking methods. Then,some examples were given to show the its applications in three aspects like algebra,geometry,and probability.Finally,the key to the application of the equation thinking methods is summarized.