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与具体的数学知识相比,数学思想具有更大抽象性和更高的灵活性,因此进行数学思想教学不可能有一个固定的格式,总的原则是渗透性原则。把数学思想溶化在数学知识中进行渗透。渗透,是在说者有意、听者无心的情况下进行的,即教师是有目的、有计划、有意识地向学生渗透,而学生是在学习数学知识的进程中,不知不觉之间接受了这种渗透。“随风潜入夜,润物细无声”是对“渗透”一词十分形象生动的注解,“数学思想”就是随了“数学知识”的“春风”潜入学生脑子的“春雨”。要进行数学思想的渗透,关键是教师思想上重视,
Compared with concrete mathematics knowledge, mathematics thought has greater abstractness and higher flexibility. Therefore, there can be no fixed format for mathematics teaching. The general principle is the principle of permeability. Dissolve mathematical thinking in mathematics to penetrate. Penetration is conducted with the intention of the speaker and the listener’s inadvertentness. That is, the teacher infiltrates the student with purpose, plan, and consciously, and the student is unknowingly accepted in the process of learning mathematics knowledge. This penetration. “With the wind sneak into the night, moistens things and is silent” is a very vivid annotation of the word “penetration”. “Mathematical thinking” is the “spring rain” that sneaked into the students’ brains with the “spring breeze” of “mathematical knowledge.” The key to the penetration of mathematics is the teacher’s ideological importance.