This study delves into the strengths, weaknesses, opportunities, and threats of aerobics through SWOT analysis. Aerobics offers a comprehensive workout, enhancing students’ physical fitness and promoting overall well-being. Nevertheless, challenges include a lack of awareness among students and potential issues such as insufficient sports skills. Opportunities arise in college physical education courses, serving as an excellent platform for fostering students’ holistic development. However, aerobics faces threats in teaching, such as time constraints and varying student interests. Addressing the actual teaching scenario, corresponding strategies are proposed. Firstly, there is a need to strengthen the promotion and education of aerobics. Secondly, employing a hierarchical, step-by-step teaching approach can elevate students’ motor skills. Additionally, designing engaging and challenging aerobics courses aligned with the characteristics of college physical education helps ignite students’ enthusiasm. Lastly, teachers should flexibly adjust content and methods to ensure effective calisthenics teaching. Through SWOT analysis and the discussion of teaching strategies, this paper aims to offer valuable insights for the aerobics teaching in college physical education classrooms. The goal is to promote students’ all-round development and enhance the overall quality of physical education.

Since the 20th National Congress, with the emphasis on innovation and entrepreneurship on country, innovation and entrepreneurship education has become an important part of talent training in universities. The constructivist learning concept advocates that students' learning should respect their own meaning construction, and social mutual assistance and situational construction to acquire knowledge. Based on the current issue of students' innovation and entrepreneurship, this article takes the constructivist learning perspective as a guide to explore strategies to enhance their innovation and entrepreneurship abilities, and is committed to promoting the improvement of their abilities.

With the rapid development of the Internet, it has penetrated into various fields, including music performance teaching. This paper aims to explore the application strategies of the "Internet Plus" teaching mode in the music performance major. Firstly, the problems of traditional music performance teaching and the advantages of Internet technology are analyzed. Then, the basic principles and application strategies of the "Internet Plus" teaching mode are proposed, including the construction of online teaching resources, interaction between teachers and students, and innovation of teaching evaluation. Finally, through case analysis, the application effect of the "Internet Plus" teaching mode in the music performance major is verified. The research results of this paper have certain reference value for the teaching reform and innovation of the music performance major.

With the necessity of the development of the national economy and society and the connotation of higher education to create a golden course, the translation talents of colleges and universities need to be cultivated from many aspects in this process. Schools need high-quality cultural construction when teaching, and also need conduct teaching research exploration and teacher teaching skills training and teaching evaluation, so that students can gain something as they learn. Especially under the background of “golden class”, translation talents in local colleges and universities need to develop specific educational content according to local culture. In this process, it is necessary to build a talent training model in colleges and universities. It is also necessary to pay attention to the combination of form and content, and to develop research in-depth, teachers should carry out effective professional teaching enlightenment guidance in the teaching process, effectively guarantee students’ career planning, and guide talent training.

This paper studies the patent race problem of communication enterprises investing in communication technologies, and constructs a portfolio optimization model which considers the expected returns, investment risks, and replacement costs, in order to achieve the dual goals of maximizing the net investment income of backward enterprises and minimizing the expected investment risk. Through numerical experimental analysis, the optimal investment portfolio strategy under different risk levels and the impact of different risk levels on the net income of lagging company are obtained. The research results show that due to the backward research in the first stage of the backward enterprises, when their own investment decision-making power is relatively high, they can focus on the development of self-interested key technology areas in order to achieve the victory of the patent race.