一、在数学教学中培养学生的新观念、新思想新观念中不仅包含对事物的新认识、新思想,而且包含一个不断学习的过程。为此,作为新人才就必须学会学习,只有不断地学习,才能获取新知识,更新旧观念,形成新认识。在数学史上,法国大数学家笛卡尔在学生时代喜欢博览群书,认识到代数与几何割裂的弊病,他用代数方法研究几何的作图问题,指出了作图问题与求方程组的解之间的关系,通过具体问题,提 First, in the teaching of mathematics to develop new concepts of students, the new ideas and new concepts include not only new understanding of things, new ideas, but also includes a continuous learning process. To this end, as a new talent must learn to learn, and only continue to learn in order to obtain new knowledge, update the old ideas, the formation of new understanding. In the history of mathematics, Descartes, the French great mathematician, likes to read a great deal of books in his student days, and recognizes the shortcomings of algebra and geometric fragmentation. He uses algebraic methods to study the mapping of geometry, and points out the problem of mapping and the solution of equations Relationship between the specific issues, mention