笛卡尔与费马解析几何思想路径之比较与启示

A Comparative Study of the Thought Paths of Descartes and Fermat in Analytic Geometry

在原始文献和相关研究文献的基础上,遵循“为什么数学”的研究范式,探究笛卡尔与费马创立解析几何的思想路径,重点比较二人在思想与方法上的异同,同时探究其思想方法对于当前倡导的学科核心素养理念下解析几何教学的启示与借鉴,揭示数学史对于数学教育的意义。

On the basis of analyzing the original literature and related research literature and following the paradigm of“why mathematics”,the thought of Descartes and Fermat in establishing analytic geometry was discussed in the paper.We focused on their similarities and differences in the formation of ideas and methods for establishing the analytic geometry to find the enlightenment from their basic methods of thinking on the teaching of analytic geometry under the concept of core literacy in education advocated at present,and to reveal the significance of the history of mathematics for mathematics education.