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数学教学的本质是数学思维活动的教学。作为一门科学,数学是抽象的,不仅有理论的一面,还有实践的一面。因此,笔者认为数学思维也具有两个重要的分支:逻辑思维和非逻辑思维。这两种思维在实际思维活动中相互渗透,紧密结合,不可分割又互为补充。尤其是在要进一步在全国实施和推进以创新为核心的素质教育的今天,数学思维的培养中,两者缺一不可。
The essence of mathematics teaching is the teaching of mathematical thinking activities. As a science, mathematics is abstract, not only on the theoretical side but also on the practical side. Therefore, I believe that mathematical thinking also has two important branches: logical thinking and non-logical thinking. These two kinds of thinking in the actual thinking activities of mutual penetration, closely integrated, inseparable and complement each other. Especially in the further implementation of the national quality education at the core of innovation and promotion of mathematics thinking, both are indispensable.