“高等代数”研究性教学探讨

Discussion on the Research Teaching in Advanced Algebra

高等代数是数学与应用数学、数学与计算科学两个专业一门重要的专业基础课,也是各高校的考研必考科目之一.根据课程特点和当前学生的特点,从"以问题为主线开展概念教学"、"适当采用反例教学"、"注意概念之间的联系"等六个方面对高等代数的研究性教学进行了探讨.

Advanced algebra is an important and fundamental course in the two specialties of mathematics and applied mathematics,mathematics and computational science.It is also one of basic subjects for the entrance exam for master degree in many universities.According to the characteristic of the course and students,we discuss the course’s research-based teaching from six aspects including＂carrying out problem-centered concepts teaching＂,＂counter-example teaching method＂,＂building the relationship between concepts in different chapter＂and so on.