高等数学中的类比思维

The Analogical Thinking in Higher Mathematics

高等学校的核心任务是培养具有创新意识、创新精神和创新能力的高素质的创新型人才。创新能力很大程度上取决于人的创新思维方式。高等数学课程具有提供理论基础和培养学生的思维模式的双重功能,是培养学生的创新思维和创新能力的重要途径。类比思维是一种常用的数学思维,通过一些例子展示了类比思维不仅对于高等数学知识的学习而且对于学生的创新意识和创新能力的培养都起到非常重要的作用。

The core mission in Institutions of Higher Education lies in training the quality talents with creative awareness,spirit and ability.Creativity is determined by people＇s thinking manner to a great extent.Higher mathematics,as a course,has dual functions in providing students with theoretical basis and helping training their thinking model,and also paves an important way to the development of students＇ creative thinking and ability.Analogy,as a common mathematical thinking,can not only be employed in the knowledge learning of higher mathematics,but also function well in the training of students＇ creative awareness and ability.