From the perspective of educational equity, this paper comprehensively discusses the characteristics, problems and optimization paths of the current educational resource allocation mechanism in China. First, we analyzes the diversity and complexity of educational resource allocation, emphasizes the challenges brought by urban and regional differences in the process of resource allocation, and discusses the advantages and limitations of the current mechanism. Secondly, this paper deeply analyzes the prominent problems in the current allocation of educational resources, including the regional resource imbalance, institutional barriers and low efficiency of resource use. It points out that these problems not only hinder the realization of educational equity, but also affect the improvement of the overall quality of education. On this basis, this paper proposes three optimization countermeasures: the first is to strengthen the top-level design of educational resource allocation policy, and promote fair distribution through refined and differentiated policies; the second is to promote the balanced development of educational resources between regions, especially to strengthen the input of resource resources and the introduction of high-quality educational resources in less developed areas; the third is to improve the use efficiency and transparency of resource allocation, and to ensure the reasonable and efficient use of resources through open and transparent mechanism and fine management.

The culture of integrity, as an important component of socialist cultural confidence, cannot be ignored in its educational effectiveness. Adhering to the principle of educating and cultivating students with integrity is not only an important measure for anti-corruption education in universities, but also an inherent requirement for talent cultivation. It plays a very important role in cultivating the integrity, morality, and personality of college students.

The professional certification of higher education has facilitated the globalization and internationalization of Chinese education, creating new opportunities for reform in college English teaching. Guided by the principles of professional certification, this paper examines the English for Specific Purposes (ESP) curriculum for undergraduates majoring in economics and management, based on an analysis of the needs of both students and society. This study aims to develop a targeted and effective curriculum system, enhancing the training quality of undergraduates in these fields and improving their readiness for their first jobs.

The combination of vocal music and piano integration teaching method is to combine vocal music and piano teaching, through the common teaching activities, so that students can promote each other and improve together in the vocal music singing and piano accompaniment. This teaching method not only helps students to master the basic skills of vocal music and piano, but also cultivates students’ music perception, musical thinking and musical creativity. Under the background of the current music education reform, it is of great significance to explore the innovative application of vocal music and piano integration teaching method to improve the quality of music education. This paper aims to explore the innovative application of the integrated teaching method of vocal music and piano in the current music education, explain the innovation of the teaching method and the positive influence on the improvement of students’ musical literacy, and provide new ideas and methods for the development of music education.

The integration of curriculum ideology and politics in the teaching of higher mathematics is helpful to cultivate students’ correct outlook on life and values, and improve students’ comprehensive quality and development potential. By guiding students to think about the connection between mathematical knowledge and life practice, it can help students better understand the meaning and value of mathematics and enhance their initiative and enthusiasm for learning. At present, there is often a lack of guidance for ideological and political education in the teaching of higher mathematics, which leads students to only pay attention to the mastery of skills and ignore the cultivation of ideological and moral literacy. Therefore, this paper discusses the importance, existing problems and coping strategies of integrating curriculum ideology and politics into the teaching of higher mathematics, and puts forward corresponding suggestions.

This article explores the characteristics, existing problems, and optimization strategies of public music literacy courses in higher education. The research indicates that these courses are characterized by content diversity, innovative teaching methods, and comprehensive assessment methods. However, issues such as limitations in curriculum design, variations in teacher quality, and insufficient student engagement persist. It is recommended to enhance the curriculum system, improve teachers’ professional competencies, and stimulate student participation to elevate the overall quality and effectiveness of the courses.