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.

In this Data science research on Education, it analyses the alcohol consumption, parent’s education, study time and other factors may influence on student performance.

Prefabricated decoration is an efficient construction mode in the current construction field, with the main purpose of quickly improving the efficiency and quality of decoration through the effective application of modular decoration technology. Therefore, there is a high demand for efficient prefabricated technical talents in various construction units or enterprises in the construction industry. How to cultivate efficient prefabricated technical talents is a problem that relevant professional teachers in universities must pay attention to at present. This paper mainly analyzes the research and practice of the training mode of prefabricated technical talents, summarizes the connotation of prefabricated building and the importance of prefabricated building talent training, analyzes the key points and requirements of prefabricated building teaching, summarizes the problems existing in the training process of prefabricated building talents and puts forward corresponding optimization countermeasures, so as to lay a solid foundation for the optimization of the training mode of prefabricated talents in the next stage and the promotion of talent training level.

The six core competencies of mathematics in vocational schools are becoming increasingly important in mathematics learning. The reverse teaching design of vocational school mathematics, which focuses on core competencies, precisely grasps the internal logic of knowledge from a holistic perspective, and designs it on a unit by unit basis. The design process is to infer the starting point from the endpoint. Therefore, how to use reverse thinking in teaching design research in vocational school mathematics teaching under the background of core competencies will be the main content of this article.

Classical photography, aesthetic beauty, and scientific analysis are related. This article explores composition, light manipulation, and emotion to examine the aesthetic components that characterize classical traditions. Pioneers like Julia Margaret Cameron are revealed from a historical perspective, and Ansel Adams' landscapes are the pinnacle of harmony and majesty. Scientific discoveries illuminate the psychology of authenticity and engagement in the digital age while promoting visual literacy. The timeless influence of artistry in the visual narrative is underscored by classic aesthetics, which connect the past, present, and resound through great works.

With the development and progress of the era, digital construction has become an important topic for enterprise development in the new era. Practice has shown that by actively carrying out corresponding digital construction work, enterprises can more comprehensively and systematically analyze the industry development and market prospects, which helps to promote the reasonable adjustment
of internal and external management work modes and the improvement of management efficiency, and has a positive guiding role for the healthy development cycle of enterprises. In this article, the author combines a large amount of research cases to conduct research on the effect of digital construction on enterprise development in the new era and proposes corresponding optimization measures, hoping to further promote the full play of information technology value, in order to safeguard the development of enterprises.

With the continuous promotion and deepening of quality education, new teaching goals have been proposed for major universities and teachers, requiring teachers not to blindly pursue the academic performance of college students as the goal, but to achieve the comprehensive development of college students as the main teaching goal. Therefore, teachers need to actively transform educational concepts, transform educational methods, enrich classroom content, and provide high-quality teaching classrooms for college students, Help college students improve in all aspects. For college students, it is not only necessary to cultivate correct worldviews and values, establish positive life goals and attitudes, but also to enhance their resistance to pressure when facing society. Therefore, when teaching, teachers not only need to explain knowledge, but also serve as guides on the life path of college students, helping them guide and improve their ideological and moral character, Thus achieving significant development of ideological and political education in universities.

Lei's work explores the theme of existentialism, reflecting the anxiety and uncertainty that modern people experience in the face of a rapidly changing world. The stories explore the dislocation and suffering experienced by modern people in a heterogeneous cultural space, the anxiety of existential existence, and the alienation and dislocation of interpersonal relationships.