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日本数学教育家米山国藏说:“学生们所学到的数学知识,在进入社会后不到一两年就忘掉了,然而那种铭刻于头脑中的数学精神和数学思想方法却长期地在他们的生活和工作中发挥着作用”。数学的思想方法是数学的灵魂和精髓,唯有掌握科学的数学思想才能使数学的有效学习成为可能。其实数学知识的掌握程度与数学思想的渗透程度是正相关的。而在新课程背景下的教学,绝不能抽象地讲思想,而应在学习理解与运用的过程中渗透、概括数学思
Masayoshi Mishan, a Japanese math educator, said: “The mathematical knowledge students have learned has not been forgotten in less than a year or two after entering society. However, the mathematical and mind-breaking ideas engraved in mind have long been Play a role in their life and work. ” The method of thinking and thinking of mathematics is the soul and essence of mathematics. Only by mastering the mathematical ideas of mathematics can the effective learning of mathematics be possible. In fact, mastery of mathematical knowledge and the penetration of mathematical thinking is a positive correlation. In the context of the new curriculum teaching, must not abstract thinking, but should be in the process of learning to understand and use of infiltration, summed up mathematical thinking