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数学思维的深刻性是学生对实际事物中的数学关系进行抽象概括而获得数学问题,对具体数学材料,数学总是进行分析概括而得出数学模型,选择恰当的数学方法,用合适的数学计算出此模型的解或近似的解,以及对解的实践检验,对模型的修正等过程中,思考的广度、深度、难度和严谨性水平的集中反映。数学思维的深刻性是思维品质的基础,是学生终身学习必备的素质。笔者在教学实践中十分重视它的培养,常用如下几种方法:
The profoundness of mathematical thinking is that students abstract the mathematical relation in the real thing to get the mathematical problem, and analyze and summarize the specific mathematical material and mathematics to get the mathematical model, select the appropriate mathematical method, and use the appropriate mathematical calculation The solution of this model or approximate solution, as well as the test of solution to the practice, the amendment of the model process, the reflection of the breadth, depth, difficulty and rigor of the level of reflection. The profoundness of mathematical thinking is the basis of the quality of thinking, is the necessary quality of life-long learning. The author attaches great importance to its training in teaching practice, commonly used in the following ways: