To comprehensively improve the quality of ideological and political education in colleges and universities, and to ensure the realization of the fundamental goal of cultivating morality and educating people, this paper emphasizes the importance of the “one, two, three, four classrooms” linkage teaching mode, and proposes an intelligent ideological and political education platform based on big data technology. The platform integrates the first, second, third and fourth classrooms to form an efficient linkage education model. To assess the specific impact of this model on education quality, this study constructed a model using multiple linear regression and estimated the parameters using the least squares method. Through the questionnaire survey and data analysis of five colleges and universities in the university city of L city, it was found that the development quality of the “one, two, three, four classrooms” linkage was generally distributed with the mean value lying in the interval of [0.35,0.55]. Under the baseline regression analysis, the four classrooms had a high R2 fit value of 0.8517 to the dependent variable. The quantile regression analysis showed that as the quantile nodes increased from 0.5 to 1, the number of classroom nodes risen from 1 to 2. Showed that as the quantile node increased from 0.1 to 0.9, the R2 fit value improved more than twofold. This result highlights the need to consider the teaching effect of each classroom comprehensively to ensure that the goal of high-quality development can be realized when colleges and universities promote the “one, two, three, four classrooms” linkage teaching mode of Civics.