对普通高中数学课程标准“基本理念7”的思考

Evaluation about "the Basic Concept of 7" in Ordinary High School Mathematics Curriculum Standards

数学的"形式化"与"本质"的争论由来已久,至今不绝.综合多个视角考察可知,数学的本质是经验性与演绎性在实践基础上的辨证统一.如果把数学的本质看成一枚硬币,演绎性,即"形式化"是其一面;经验性,即"经验化——非形式化"是其另一面.由是观之,普通高中数学课程标准"基本理念7"的表述存在让人误解与含糊之处.

The controversy of mathematics＂ formal＂ and ＂essence＂ for a long time has never been broken. Taking an overview of the perspective of an inspection can be found the essence Of mathematics axe both dialectic and unity of empirical and deductive basis on practice. If the essence of mathematics as a coin, the deduction of nature, that is, ＂Formal＂ is its side; empirical, that is, ＂the experience-informal＂ is its other side. From this perspective, ＂the basic concept 7＂ in the ordinary high school mathematics curriculum standards exist misleading statements with ambiguity.