This study aims to apply mathematical modelling methods focusing on the fishing songs of Poyang Lake for its conservation and digital reform. Through the principles of abstraction, model building and parameter estimation of mathematical modelling, we will quantitatively analyse the efficiency of cultural heritage and the degree of influence of digital reform. Specific methods include time series analysis, data mining and optimisation models. These tools will provide theoretical support and quantify the complexity of the problem by introducing corresponding mathematical models and formulas.

This paper discusses the construction strategy of innovation and entrepreneurship education path for college students under the background of digital economy. Firstly, this paper analyzes the characteristics of digital economy and its influence on higher education, and then puts forward four core construction paths for college students' innovation and entrepreneurship education: integrating digital skills and knowledge, promoting practice and innovative thinking, interdisciplinary integration and collaborative learning, and linking industry and academia. Each path discusses the specific implementation and expected effect in detail. The purpose of this study is to provide higher education institutions with effective methods and strategies to cultivate students with innovative spirit and entrepreneurial ability in the era of digital economy.

With the continuous growth of China's social economy, people's demand for spiritual life is increasing. Most of China's land is used to develop real estate and tourist attractions, which involves the protection of some traditional village buildings. Affected by the development of the times and historical factors, it is difficult to carry out the protection and reuse of traditional village buildings. Under the background of rural revitalization, traditional villages have been unable to meet the needs of current social development, and how to transform them into a common concern of rural workers and rural members. Based on this, this paper focuses on the protection and reuse of traditional village buildings, and emphatically analyzes the combination method of active utilization and protection of tradition and the reuse principle of traditional village buildings from the perspective of live transmission.

Under the background of the continuous development of science and technology, the era of big data has come in an all-round way, and big data technology has also been widely used in the education industry. The course of financial management in applied colleges and universities is a highly applied course, which focuses on the substance of the course. Teachers need to create a good learning environment for students with the help of information technology, and constantly cultivate students' professional skills and professionalism. In order to improve the quality of financial management courses in colleges and universities, this paper mainly analyzes the management courses in application-oriented colleges and universities, expounds the factors affecting the practical teaching quality of management courses in colleges and universities, and analyzes the teaching methods of management courses in application-oriented colleges and universities. Finally, it is concluded that only when teachers constantly improve their teaching level, can students' learning level be improved by combining theory with practice.

In the governance mechanism of how to develop agricultural cooperatives in rural revitalization, incentive mechanisms are the most important part. The village work team mobilizes the supervisory initiative of employees through a good incentive mechanism, combining their goals with the organizational goals, and promoting the development of the team. Based on the theory of herd effect and the motivation mechanism of "Zhizhi Shuangfu", combined with case analysis, this article points out the problems of single incentive form, insufficient attraction of incentive methods, and insufficient skill training for members in the incentive mechanism of YS Agricultural Products Professional Cooperative. In response to these issues, corresponding improvement suggestions were proposed: developing multiple incentive mechanisms, establishing special reward mechanisms, and strengthening technical training for cooperative members.

As a group of college students who are about to enter social life and have a certain impact on socio-economic and technological development, their concepts and qualities will have a significant impact on social development. Therefore, in a complex and ever-changing social environment, schools should pay attention to educating college students in aspects such as their values, high moral literacy, and political awareness. Schools can take ideological and political education as the foundation, comprehensively educate students through the construction of a good academic atmosphere, and cultivate them into application-oriented high-quality talents. Based on this, this article mainly studies the construction methods of college students' academic style from the perspective of ideological and political education in the new era.