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《义务教育数学课程标准》明确指出:“通过义务教育阶段的数学学习,学生应获得适应未来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。”由此可见,数学思想与方法的渗透是新课程改革的一个新的视角。数学思想方法具有内隐性、层次性、概括性的特征。它是一种隐性知识,它的教学必须同数学知识紧密结合。如果将数学思想同具体的数学知识剥离开来,单纯地讲授数学思想,那是空洞的、
The Standard of Compulsory Education Mathematics Curriculum clearly states: “Through the mathematics study in the compulsory education phase, students should acquire the important mathematical knowledge necessary for the future social life and further development as well as the basic mathematical thinking and the necessary applied skills.” Thus, the infiltration of mathematical ideas and methods is a new perspective of the new curriculum reform. Mathematical methods have the characteristics of implicit, hierarchical and generalized. It is a tacit knowledge, its teaching must be closely integrated with mathematical knowledge. If we separate the mathematical thinking from the concrete mathematical knowledge and simply teach the mathematical thought, it is empty,