浅谈数学基础课教学中学生数学能力的培养

On Improving Students' Mathematical Abilities in the Teaching of Mathemarical Fundamental Courses

《数学分析》、《高等代数》和《解析几何》是数学类专业三门重要的基础课程.这三门课程不仅对数学类后续课程的学习有着重要的影响,同时在培养学生的数学能力方面也起着举足轻重的作用.本文通过几个具体实例,讨论了在数学基础课程教学中如何培养学生的数学能力,这些能力主要包括分析计算能力、综合归纳和推广能力、创新能力以及数学建模能力等等.

Mathematical Analysis,Advanced Algebra and Analytical Geometry are the three important fundamental courses,which not only have effect on the study of the other mathematical courses,but also can improve students mathematical abilities including analysis,computation,summary,extension,creation,applications and so on.Based on some examples,it is discussed how to improve students mathematical abilities in the teaching of fundamental courses in this paper.