The importance and traditional teaching mode about major mathematical courses are analyzed, and several issues needing attention in its teaching reform and practice are dis-cussed. The four teaching methods are discussed with innovation teaching model, which are hierarchy teaching, updating teaching methods and network techniques, mathematical modeling and perfecting teaching assessment. Some experience is further ex-plored from teaching practice. All these theories show the direc-tion for teaching reform.%分析了数学类主干课程的重要性和传统教学模式存在的不足,思考了教学改革和实践需注重的几点问题,讨论了分层次教学、更新教学方法及扩大网络技术在教学手段上的改进、在教学中融入数学建模思想、完善教学考核评价这四种教学方法在大学数学教学改革中的实施方法,并就教学体会进行了探讨,为教学改革提出了新的探索方向。
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