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.

Nowadays, international exchanges are becoming more and more frequent in the world. As a global language, English can establish a communication bridge between different countries and nationalities, and its importance is obvious. Since 2001, China has gradually added English education to the curriculum plan of primary schools in various regions. Later, with the deepening of the industry’s understanding of English teaching, the education reform has also followed up. It can be said that the level of educators and educates is rising spirally. However, there are still many restrictive factors in the current situation of primary school students’ learning English, among which the more prominent factors are the strength of English teachers and the evaluation mechanism for students’ learning achievements.

The PBL teaching method emphasizes using specific problems as a guide in practical application, guiding students to achieve better teaching implementation results in practice. The integration of cross-border e-commerce and English teaching is a practical English course content in the teaching of English majors. In the current stage of English course teaching, it is an important method that is innovative and targeted to improve students' English course learning effectiveness. In the specific application process, the application of PBL teaching method requires teachers to provide important support for improving the teaching effectiveness of cross-border e-commerce English courses under the PBL model by building educational and teaching training bases, actively providing sufficient practical education guidance platforms, and emphasizing the innovation and richness of teaching evaluation links.

Praxeology is the study of practice, i.e., human activity, primarily in the context of its rationality. The study of manager’s praxeological activity from the point of view of management theory is an important direction of modern science, since it contributes not only to improving the management effectiveness in an organization, but also to the development of new managerial concepts and techniques. In the article, the authors’ concept of praxeological managerial activity is proposed based on the analysis of existing scientific approaches to praxeology. An extended list of criteria for the manager’s praxeological activity efficiency was developed. These criteria include performance, productivity, accuracy of the decisions taken, purposefulness, reliability, innovativeness, quality, and ethics. The authors’ model of the manager’s praxeological activity includes the following elements: a subject (a manager), an object (a company, its staff and activities, etc.), motives (success, growth, profit, etc.), the goal (to ensure the effectiveness of the company’s activities), methods and tools (analysis, planning, organization, motivation, and control), process (praxeological activity), result (efficiency improvement), and reflexivity, correction and iteration. Within the framework of the model of praxeological managerial activity, the manager’s ability to influence the managed object (an organization, employees or the manager’s activities) is particularized. This influence should result in an increase in the employees’ performance, an increase in the managers’ performance, and an increase in the performance of the organization as a whole. The article will be of interest to specialists in the field of management, and corporate governance, as well as for anyone interested in the problems of effective management.

This study aimed to analyze government policies in education during the Covid-19 pandemic and how teachers exercised discretion in dealing with limitations in policy implementation. This research work used the desk review method to obtain data on government policies in the field of education during the Covid-19 pandemic. In addition, interviews were conducted to determine the discretion taken in implementing the learning-from-home policy. There were three learning models during the pandemic: face-to-face learning in turns (shifts), online learning, and home visits. Online learning policies did not work well at the pandemic’s beginning due to limited infrastructure and human resources. To overcome various limitations, the government provided internet quota assistance and curriculum adjustments and improved online learning infrastructure. The discretion taken by the teachers in implementing the learning-from-home policy was very dependent on the student’s condition and the availability of the internet network. The practical implication of this research is that street-level bureaucrats need to pay attention to discretionary standards when deciding to provide satisfaction to the people they serve.

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.