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.

Experimental teaching is an efficient way of education, through practical operation and experimental activities to help students deeply understand theoretical knowledge, cultivate practical ability and solve practical problems. As an important engineering practice course, "Electrical and Electronic practice" has a special status and function in application-oriented undergraduate colleges. In the face of the rapid development of science and technology, the way of education must be innovated constantly. In this paper, a combination of Online and offline teaching reform is carried out for the Course "Electrical and Electronic Practice" offered by application-oriented undergraduate colleges. SPOC (Small Private Online Course) is established on the basis of MOOC, which combines online and offline teaching to promote the all-round development of students. It cultivates their practical ability and competitiveness, and lays a solid foundation for their future career and academic path.

Since my country entered the era of Internet economy, the scale of the software industry is gradually expanding, and programming language, as an important tool and idea for software development, is a necessary skill for every development practitioner. Among them, C language, as the basic language of computer software programming, is also an important basic course for cultivating students’ computer application ability in science and engineering majors in colleges and universities. This paper mainly studies the teaching reform of C language programming courses and proposes corresponding optimization measures, so as to lay a solid foundation for the continuous improvement of students’ learning quality of C language courses and the continuous strengthening of programming ability.

This paper aims to explore the practice and effect of integrating ideological and politics in higher vocational mathematics education. Through the review of relevant literature and the analysis of practical cases, this study analyzes the necessity and feasibility of integrating ideological and political education into higher vocational mathematics teaching, as well as the promoting effect of students' ideological and political education. At the same time, it also discusses how to effectively combine the curriculum thinking and politics with higher vocational mathematics teaching, as well as the strategies and methods to achieve positive results, in order to provide some reference for the majority of higher vocational mathematics teachers.

Competency-based education is one of the many important educational objectives in the cultivation of senior vocational talents. In the past education model, the importance of achievement is greater than ability. Teachers rely on the scores of test papers to classify students' grades. Competency-based education has changed this situation very well, paying special attention to students' ability training. This paper mainly studies how to better promote the reform and innovation of English teaching in higher vocational colleges and strengthen students' learning ability and vocational skills while ensuring students' ability development.

Modern education attaches great importance to the innovation of teaching concepts, and teachers should be guided by it to provide students with high-quality educational resources and learning environment. Teachers should conduct in-depth research on auditing course materials, set certain training goals for students, and optimize their teaching ideas to conduct diversified evaluations of students. Teachers should create an environment for students to learn auditing and choose corresponding teaching methods based on their learning situation. Teachers should also guide students to master the courses and basic theories of auditing, so that they have certain operational skills and can apply relevant theories to analyze and develop problems encountered in the management profession.