With the vigorous development of international trade and the in-depth advancement of economic globalization, China is facing the increasingly serious problem of invasive alien species, which poses a major threat to China’s ecological environment, economic development and human health. At present, although China has a comprehensive institutional norms in the prevention and control of invasion of alien species, but in the face of the challenge of invasion of alien species, China is still facing problems such as insufficient legal basis and imperfect specific legal system. Based on this understanding, this paper discusses the prevention and control of invasive alien species legal regulation, that although in recent years China has made certain achievements in the field of prevention and control of invasive alien species, but still faces a number of problems to be solved, should promote the relevant legislative amendments, and combined with the experience of developed countries to summarize the perfect.

This research aims to examine the intricate connection between the preservation of intangible cultural assets and the promotion of city brands, using Jingdezhen, known as the “Porcelain Capital” of China, as a case study. Through an exploratory investigation, the study highlighted two distinct yet significant issues: the recognition of Jingdezhen’s intangible cultural assets, encompassing folklore, rituals, traditional ceramic skills, and artwork, and the economic effects resulting from cultural tourism. The research delineates the obstacles encountered by Jingdezhen in relation to urbanization, industrialization, and globalization subsequent to its establishment as the principal production hub for Chinese blue and white porcelain. Additionally, it highlights the decline of traditional ceramic skills and expertise, as community members who relied on handicrafts for their livelihoods were affected by the closure of companies. Subsequently, it elucidates the potential prospects arising from cultural tourism and the consequential economic influence of this progress on the local economy and the community’s quality of life. The report delineates community engagement initiatives and collaborative partnerships with local enterprises, colleges, government agencies, and Jingdezhen communities to use the city’s abundant cultural legacy. This research provides a comprehensive overview and assessment of the most effective methods, as identified by international studies, for incorporating the safeguarding of intangible cultural assets into sustainable urban development. Concisely, the paper offers guidance to stakeholders, the local administration, and its legislators. The statement emphasizes the necessity of implementing a comprehensive policy framework in Jingdezhen to safeguard its intangible cultural heritage and promote urban development. The objective is to achieve sustainable growth by leveraging the city’s cultural assets. The results serve as a benchmark for other cities and towns to use their cultural legacy in order to establish a sustainable city brand. Additionally, they make a valuable addition to the worldwide discourse on striking a balance between cultural preservation and economic development.

The six core competencies of mathematics in vocational schools are becoming increasingly important in mathematics learning. The reverse teaching design of vocational school mathematics, which focuses on core competencies, precisely grasps the internal logic of knowledge from a holistic perspective, and designs it on a unit by unit basis. The design process is to infer the starting point from the endpoint. Therefore, how to use reverse thinking in teaching design research in vocational school mathematics teaching under the background of core competencies will be the main content of this article.

With the in-depth development and widespread application of educational informatization, digital education has also become one of the important features of educational modernization. Designing and completing a visual teaching system based on Web technology is of great significance for promoting further reform and development of teaching, especially for achieving remote education, which has great application value. Based on visual teaching needs analysis and B/S architecture, effective system development is achieved through Access database. According to the specific needs of teaching functions, the system can be divided into multiple modules, and the management and login of teaching resources for users can also be smoothly achieved. This has important research value for achieving the goal of remote visualization of teaching.

Nowadays, the scale of graduate education in our country has been growing, but the quality of graduate education has not been improved. Therefore, how to effectively improve the quality of postgraduate education has become the most concerned issue in the academic circle and universities, which directly highlights that the internal guarantee mechanism of postgraduate students to improve the quality of postgraduate education has become the focus of academic research, in which tutors are the main influencing factors of postgraduate education quality. The tutor plays a positive and dominant role in stimulating, demonstrating, modeling, guiding and infecting the postgraduate's behavior. This paper analyzes the existing problems in exerting the role of postgraduate tutors, and from the problems, puts forward the countermeasures and suggestions to exert and mobilize the initiative of tutors.