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.

In the process of vocal music teaching, the level of a singer's aesthetic ability often determines their long-term development. Therefore, in the process of conducting vocal music teaching, it is necessary to pay more attention to the cultivation of students' musical aesthetic ability, improve students' understanding and mastery of music art from the ideological level, and achieve better teaching effects. This article will conduct research on the importance of cultivating aesthetic ability in vocal music teaching, and explore strategies from aspects such as absorbing life content and introducing musical instruments into teaching models. It is hoped to provide some help for related teaching work.

In today's highly competitive environment, enterprises strive for competitive advantages by actively responding to changes in the network environment through digital technology. This approach fosters continuous innovation and establishes new paradigms by creating new network structures and relationships. However, research on the relationship and transmission mechanisms between digital technology and innovation performance in dynamic environments is still in its early stages, which does not fully address the demands of current social practice. Therefore, exploring the impact mechanisms of digital technology applications on enterprise innovation performance is an important research area. Based on the dynamic capability theory, this paper utilized SPSS 26.0 and AMOS 24.0 software to conduct an empirical analysis of 490 valid samples from the network perspective, exploring the pathways through which digital technology capability influences enterprise innovation performance. The results indicate that (1) digital technology capability is positively correlated with enterprise innovation performance; (2) digital technology capability is positively correlated with network responsiveness; (3) network responsiveness is positively correlated with enterprise innovation performance; (4) network responsiveness plays a mediating role in the impact of digital technology capability on enterprise innovation performance; (5) environmental dynamism positively moderates the relationship between digital technology capability and enterprise innovation performance. This paper enhances the understanding of how digital technology capability influences enterprise innovation performance in dynamic environments, offering new insights for future research. The results suggest that enterprises should focus on enhancing their digital technology capabilities, optimizing network structures, and strengthening network relationships to drive digital innovation.

Our main objective in this research is to affirm that philosophy, in its true essence and depth, has never been inherently opposed to religion. Rather, the turn toward atheism within philosophy represents isolated, personal stances, often reactionary in nature, and not rooted in genuine intellectual reflection, which the Qur’an encourages and calls people to adhere to. Our endeavor is to show that the call to atheism is foreign to reason, understood as a sound faculty or a sense linked to the pursuit of truth, as previously demonstrated by Descartes in his focus on the principles and methods of philosophical inquiry. To facilitate the achievement of these goals, we have employed several methodologies, primarily the structural method, which helps us analyze selected texts, this methodology enables the understanding of the elements within the studied positions, the relationships that link them, and the underlying implications upon which they are based. We will apply this method practically when analyzing conceptions that reject religion, uncovering the framework underpinning each conception. This approach facilitates comprehension by examining the rational foundations that support each interpretation of religion and later pave the way for its denial or transcendence. the historical method, which allows us to trace the development and dissemination of atheism, this approach is based on the premise that every sensory or intellectual phenomenon has an origin defined by time and place, evolving through transformations and additions over time. By employing this method, we can trace the development of various interpretations of religion and understand the intellectual accumulations shaped by successive historical periods, and the deconstructionist method, through which we identify the contradictions and flawed principles underlying atheistic arguments, this method allows for in-depth critique of the foundations, developmental trajectories, and final outcomes of phenomena. It also provides a means to establish new perspectives—whether by modifying the existing model, recontextualizing it, or replacing it with an entirely new framework. The importance of re-examining the relationship between philosophy and atheism stems from the profound influence of certain philosophical positions and their negative views on religion within various atheistic currents, especially contemporary ones. Contemporary atheism today poses a threat to religion as a symbolic human system, rich in a value-laden framework that upholds the essence of humanity in an era dominated by materialism and the absence of values. The central question of this research is: Can the human being truly achieve existence independently? Or can one live in this world isolated from all influential forces, including the creative and divine force?

With the continuous development of educational information technology, college English teaching is gradually transitioning to digital and informational. This article discusses and researches the application of educational information technology, the impact of educational information technology on student learning outcomes, changes and reasons in learning methods, and the construction of college English teaching staff under educational information technology. It is believed that conducting effective research on college English teaching under educational information technology will not only help improve the level of college English teaching, but also promote the development of educational informationization.

In the era of rapid information technology development, artificial intelligence (AI) and virtual reality (VR) technologies have gradually infiltrated the field of university English teaching, brought significant applications and impacted to English language learning in listening, speaking, writing, translation, and personalized learning. AI plays a vital role as an auxiliary teaching method in university English instruction, and the integration of VR technology further enhances teaching efficiency. This research will propose relevant recommendations to provide theoretical references for university English education in the age of AI, while also offering insights and guidance to educators in the education industry during the informatization reform of education.