Modern algebra curriculum ideological and political case

Abstract

Strong “abstractness” and strict “logic” are the two major characteristics of modern algebra. The article combines the characteristics of the curriculum, takes “the Guiding Outline of ideological and political construction of the curriculum in colleges and universities” as the guiding ideology, and takes “the ideological and political education of science and technology should be combined with the cultivation of scientifi c spirit in the course teaching, so as to improve the students’ ability to correctly understand the problem, analyze the problem and solve the problem” as the goal. The article introduces the corresponding ideological and political cases from the fi ve points of “mathematical beauty” in the three algebraic systems of group, ring and domain, the development history of modern algebra, the frontier application of modern algebra, the integration of modern algebra with other disciplines, and the dialectical materialism thought in logical argumentation.