In the process of teaching and learning at any stage, the important role of interest guidance cannot be ignored. Especially in college mathematics teaching, mathematical knowledge is very complex and abstract, and most students are unable to effectively understand and master it during the learning process. So it is even more important to fully stimulate students' interest in learning. This article analyzes the significance and current situation of stimulating students' learning interest in university mathematics teaching, and conducts effective strategy analysis. In order to effectively awaken students' desire for knowledge, guide students to change from passive learning to active learning, so that students can continue to grow and progress in this process.

The "chain length system" is a breakthrough attempt made to adapt to the needs of industrial management under the new development pattern of dual circulation and its industrial policy form. The cultivation of cross-border e-commerce talents in vocational colleges has received much attention. Currently, there are still many problems in the construction and teaching mode of cross-border e-commerce courses in vocational colleges, which are highlighted as the disconnection between course offerings and industry needs, low practical value of course content, low professional literacy of graduates, and inability of graduates to handle practical work. Therefore, it is crucial to construct and innovate a golden course for the development of cross-border e-commerce careers in the new era, focus on strengthening and supplementing the cross-border e-commerce talent chain, and open up the "last mile" of the cross-border e-commerce talent chain, so as to  improve the specifications and quality of talent cultivation. Starting from the pain points and difficulties of industry enterprise demand, curriculum teaching patterns, characteristics, and main contradictions as breakthrough points, we will carry out the construction of golden courses, using "task driven", "module teaching", "project teaching", "project incubation", "achievement recognition", and "point exchange" throughout the entire teaching process, in order to enhance the core competitiveness of cross-border e-commerce talents and serve the chain leader system in the Guangdong Hong Kong Macao Greater Bay Area.

Under the developing trend of artificial intelligence (AI) technology gradually penetrating all aspects of society, the traditional language education industry is also greatly affected ^[1]. AI technology has had a positive impact on college English teaching, but it also presents challenges and negative impacts. On the positive side, AI technology can provide personalized learning experiences, real-time feedback, and autonomous learning opportunities, and so on. However, it may also lead to a lack of communication between students and humans, resulting in a decline in students’ interpersonal skills, and cause students’ dependence on online learning resources as well as possible risks to student data privacy and security, and other negative impacts. To address these challenges, teachers can adopt the following countermeasures: improving teachers’ skills in the use of AI technology incorporated in the classroom, offering personalized instruction to reduce students’ dependence on AI technologies, emphasizing the cultivation of students’ humanistic literacy and interpersonal communication ability. Additionally, colleges and technology providers should strengthen data security and privacy protection to ensure the safety and confidentiality of student data. By implementing comprehensive measures, we can maximize the advantages of AI technology in college English teaching while overcoming potential issues and challenges.

In the teaching of graphic design, students' learning state and learning effect are poor due to the lack of attractiveness of teaching materials. In order to fully display the graphic design knowledge contained in totem patterns, a model based on the pattern elements of totem patterns was constructed. Through Marvelous Designer software, the display of totem visual effects under different pattern element configurations was realized, providing a basis for the comparative explanation of graphic design teaching. When designing the teaching content, based on the totem art culture, it has constructed three parts of teaching methods of plane composition, teaching contents of plane composition and teaching concepts of plane composition, which correspond to the material selection, composition and freehand brushwork skills of totem patterns in modeling creativity and expression techniques, and the range of material selection, composition form and connotation of plane design teaching, the specific application is realized through knowledge transfer.

The theoretical framework of Production Oriented Approach (POA) proposed by Professor Wen Qiufang has undergone a series of development and improvement, forming a "drive facilitate evaluate" teaching framework system that is guided by output tasks, supported by facilitation activities, led by teachers, and jointly constructed by teachers and students. The "facilitation" link is the core of helping learners achieve goals and achieve output tasks. Based on the ideas and requirements of this theory, the author has designed a series of "facilitation" activities to be applied in advanced English reading classrooms. This article intends to review and reflect on these teaching practice activities, in order to gain a deeper understanding of POA theory.

This paper explores the influence of the concept of "moral education" on physical education, and focuses on the application of Teaching Personal and Social Responsibility (TPSR) responsibility teaching model in physical education. Physical education teaching is not only the teaching of skills, but also the indoctrination of values. Through the thought of "cultivating people by virtue", we can make physical education based on moral education and return to the essence of education. The TPSR model makes this idea concrete, emphasizes the personal process and social responsibility, and includes the cultivation of students' sense of responsibility, team spirit and self-management ability in physical education teaching. Through theoretical discussion and empirical analysis, this study revealed the practical application and effect of TPSR model in physical education teaching, proved the importance of this teaching model, and put forward the construction idea of TPSR physical education teaching model. Future research can expand more application scenarios of the TPSR model to achieve better quality and more comprehensive physical education.