代数学中有关概念的演进及其教学意义

Evolving of Algebraic Conceptions and the Teaching Significance

代数学中有许多概念之间既相互联系、又相互转化,这种演进关系不仅仅有理论研究方面的需要,也有实际应用方面的刺激。在教学中,如果能够把这两个方面与代数知识的传授、代数方法的训练以及代数思维能力的培养有机地结合起来,那么,就不仅能够激发学生学习代数理论的兴趣与动力,而且更为重要的是,这种有机结合还能够提升学生欣赏数学的品味。

There Exists mutual transformation relationship among algebraic conceptions. The evolving relationship comes not only from the demand of theoretical studies but also from the requirement of practically application. In teaching practice, if the two sides are organically combined with teaching of algebraic knowledge, training of algebraic method and cultivation of algebraic thinking ability, the students＇ tastes in appreciating mathematics will be enhanced greatly, apart from stimulating the students＇ interests and motivations on the subject.