The excellent culture embedded in the art of calligraphy provides new teaching content for the design and realization of the educational objectives of the Civic and Political Science Program in colleges and universities and facilitates the formation of a new teaching mode. This paper combines the network calligraphy art resources, highlights the calligraphy interaction of the Civics course with the help of projection interaction settings, and proposes a new teaching mode of calligraphy art + Civics course in colleges and universities. It also proposes a full convolutional network algorithm based on an attention gate to deal with the task of binning calligraphic document images and extracting calligraphic resources. Combined with the design principles of interactive digital displays, the teaching concept and teaching design of the calligraphy art college Civics and Politics course are analyzed. Based on the results of convolutional neural network processing of calligraphy text image binarization and the recognition of calligraphy handwriting by convolutional neural network algorithm based on the Attention mechanism coding and decoding model, realize the practice of the new teaching mode of interactive calligraphy art + Civics and Politics course, and compare it with the traditional fusion method, and get the mean and standard deviation of the course grades of the traditional group and the interactive group as 36.12± respectively 6.35 points, 45.68 ± 4.73 points. The samples of different groups show significance (p<0.05) for all of participation, ability, challenge, and interest, which means that the mean value of the interactive group is higher than that of the traditional group in the four dimensions of participation, ability, challenge and interest in learning, which proves the feasibility of the teaching mode of the projected interactive calligraphy art resources + Civic and Political Science course proposed in this paper.