高等数学复习题变式多解的研究

On the multiple solutions to a review question's variant

课本习题的改造是"数学探究"的重要渠道.高等数学课堂教学的核心任务主要是培养学生的思维探索能力,数学思维探索能力的提高在于选题、变式、解题质量的提高,而非选题、变式、解题的数量的增多.选题要把握"三原则"、变式要多角度.这样,不但可起到沟通各知识的纵横联系,而且能促进解题策略的逐步优化,培养学生的思维能力、分析问题和解决问题的能力.

Higher mathematics classroom teaching core mission is to develop students＂ thinking ability to explore the subject which lies in the improvement of mathematical thinking ability to explore the topic, variant, and improving the quality of problem-solving, rather than the increasing of topics, variant and solving. Problem-solving should be in line with three principles and diversified, which better connects the horizontal and vertical knowledge to optimize the solving strategies, which foster the thinking, analyzing and solving abilities of the students.