Transformation of Numerical Efficacy of Civic Building in College Physical Education Courses Combined with Matrix Modeling

Abstract

Abstract This paper firstly analyzes the developmental problems of the construction of the sports course ideology and politics in colleges and universities, starting from the value function of the construction of the sports course ideology and politics. Secondly, it constructs the evaluation index system for the construction of college sports course ideology and politics, utilizes the subordinate criterion function of the subordinate matrix model for the weight calculation of the index subordinate coefficients, and calculates the positive and negative ideal solutions and relative posting progress of each index through the TOPSIS method. Finally, in order to analyze the transformation of the number-based effectiveness of the construction of the college sports course ideology and politics, an example verification analysis was carried out. The results show that the transformation of digital effectiveness in the construction of the ideology and politics of sports courses in colleges and universities is mainly carried out through the shaping of students’ values, the cultivation of ideals and beliefs, and the analysis of the weights of the indexes points out the direction of the development of the construction of ideology and politics of sports courses. This shows that the transformation of the digital effectiveness of the ideological and political construction of physical education courses needs to start from the spirit of sports, which in turn promotes the ideological and political construction of physical education courses to boost the quality of physical education disciplines.