With the rapid development of internet technology, online education has become an important trend in the education industry. Especially under the influence of the global COVID-19 epidemic, online teaching has been widely applied and promoted. However, there are also some problems with online teaching, such as a lack of realism and low student engagement. Therefore, exploring the integration of online and offline teaching models has become a hot research topic in the field of education. This article will analyze the reform strategy of integrating online and offline teaching in university mathematics courses, aiming to explore how to improve the teaching effectiveness of university mathematics courses and promote students' learning interest and ability through the integration of online and offline teaching.

With the continuous development of globalization, communication among countries around the world is increasingly frequent, and multicultural integration has become the mainstream of the development of the current era. Language, as the carrier of multicultural integration, is an important tool to promote international communication and integration, especially English, as an international language with the largest number of users and the widest range, has extensive practicability and communication. With the continuous deepening of China's reform and opening up, communication with foreign countries has become increasingly close. English has become a basic language skill that college students must master proficiently. The transformation of English education is an inevitable trend that conforms to the development of the times. However, in the current process of English teaching in universities, there are outdated educational ideas and methods, and English teaching and cross-cultural awareness cultivation have not been effectively combined, Causing a lack of interest in English among college students, the inability to truly apply learning outcomes to practical situations, and the loss of its true significance in English teaching. This article analyzes the important impact of the current multicultural integration environment on college English teaching, as well as the problems existing in contemporary college English teaching practice, and proposes targeted transformation paths for college English education in the context of multicultural integration.

The Electrical Equipment Operation and Control major in vocational schools is mainly aimed at vocational school students or other social individuals who want to learn the electrical equipment operation and control major. However, in the process of education and teaching, due to the relatively weak knowledge foundation of the teaching subjects and limited understanding of professional prospects and future development, the learning process is relatively difficult. Therefore, it is necessary for vocational school teachers to actively adopt more diverse methods in the teaching process of electrical equipment operation and control, and to use these teaching methods to enhance the spirit of model workers Integrating the spirit of labor and craftsmanship into teaching.

How to improve enterprise performance has been a research topic widely studied by scholars for a long time. As economic globalization deepens, the business competition becomes increasingly harsh. Technology-based small and medium-sized enterprises (SMEs) play an important role in the rapid development of the country’s economy, especially in China. This study aims to investigate the mediating effect of knowledge integration capability in the relationship between corporate social capital and enterprise performance. The sample group used in this study were 300 technology-based SMEs in China. The research tool was a questionnaire adapted from previous scholars, which passed assessment in terms of content validity and reliability. Data were analyzed using structural equation modelling. The results show that: 1) corporate social capital has a positive impact on enterprise performance, but the impact differs between well-performing and poor-performing enterprises; and 2) knowledge integration ability plays a mediating role in the relationship between corporate social capital and enterprise performance, and the mediating role is the same for both well-performing and poor-performing enterprises. But it played a partial mediating role in the good-performance comparison group and a complete mediating role in the poor-performance comparison group. This study is useful for enterprise management in cultivating and developing the abundant social capital of enterprises and expanding channels for knowledge integration ability to increase enterprise performance.

In the realm of modern education, the integration of technology has emerged as a powerful catalyst for transforming traditional classrooms into dynamic and engaging learning environments. This paper provides a concise overview of the multifaceted ways in which technology contributes to enhanced classroom engagement.

In the great practice of long-term revolution, construction and reform, the red gene created and developed by the CPC is a noble belief and noble emotion that has been continuously precipitated and inherited in the blood and struggle of countless people throughout the country, and has been deeply rooted in the blood and soul of the people of the CPC. Against the backdrop of the continuous development of modern education, integrating the red gene into the daily ideological and political education work of college students requires a clear understanding of its practical significance, and establishing the basic principle of integration based on the red gene, further promoting reform and innovation in inheriting and promoting the red gene in universities, and comprehensively enhancing the ideological and political awareness of college students, Provide a strong talent force for China's socialist construction.