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传统上,高等代数是大学数学系的基础课。50年代,高等代数的重点是多项式代数。60年代开始,为了适应飞速发展的科技的需要,高等代数的重点已经是线性代数了。大学课本的编排,采取了公理化的定义。这就使得课程内容初步具有了近代数学的特点:概念的抽象性,结论的精确性、应用的广泛性。应用的传统教学模式讲授这样的内容,历来学生对教学效果的反映,总是“讲课听得懂,作作业很困难。” 事实上,高等代数的作业,大致有:计算题、论证题、论证夹计算或计算夹论证题。
Traditionally, higher algebra is a basic course in college mathematics. In the 1950s, higher algebra focused on polynomial algebra. Since the 1960s, in order to meet the needs of the rapidly developing science and technology, the emphasis of higher algebra has been linear algebra. University textbook arrangement, adopted the axiomatic definition. This makes the content of the curriculum initially has the characteristics of modern mathematics: the concept of abstraction, the accuracy of conclusions, the extensive application. Application of the traditional teaching model to teach such content, the students always reflect the teaching effect, always “lectures understand, for homework is very difficult.” In fact, the work of advanced algebra, roughly: Calculation, argumentation, argument To calculate or calculate a clip argument.