This study aims to apply mathematical modelling methods focusing on the fishing songs of Poyang Lake for its conservation and digital reform. Through the principles of abstraction, model building and parameter estimation of mathematical modelling, we will quantitatively analyse the efficiency of cultural heritage and the degree of influence of digital reform. Specific methods include time series analysis, data mining and optimisation models. These tools will provide theoretical support and quantify the complexity of the problem by introducing corresponding mathematical models and formulas.

This study explores project-based learning in science teaching models. Firstly, the theoretical basis of project-based learning is analyzed, the existing science teaching mode is evaluated, and the construction and implementation strategy of the science teaching mode based on project-based learning is proposed. Then, through empirical research, this study found that this model can effectively improve students' academic performance, enhance students' interest in learning, and improve students' hands-on ability. However, the implementation of this model requires teachers to have a high level of professionalism and adequate teaching resources. Finally, this study concludes that the project-based learning science teaching model is a potential teaching model that deserves further exploration and practice.

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?

This research presents a novel approach utilizing a self-enhanced chimp optimization algorithm (COA) for feature selection in crowdfunding success prediction models, which offers significant improvements over existing methods. By focusing on reducing feature redundancy and improving prediction accuracy, this study introduces an innovative technique that enhances the efficiency of machine learning models used in crowdfunding. The results from this study could have a meaningful impact on how crowdfunding campaigns are designed and evaluated, offering new strategies for creators and investors to increase the likelihood of campaign success in a rapidly evolving digital funding landscape.

The Yangjiabu Kite Festival, originating over 2000 years ago in Shandong Province, China, stands as a testament to the enduring cultural heritage and artistic traditions of kite flying. This research explores the historical origins, cultural symbolism, festival format, community engagement, and international exposure of the Yangjiabu Kite Festival, shedding light on its evolution and impact over time. Findings reveal the festival's deep roots in ancient Chinese traditions, its role as a platform for showcasing cultural diversity and craftsmanship, and its significance in promoting tourism, cultural exchange, and soft power projection for Shandong Province. Lessons learned from the Yangjiabu Kite Festival offer valuable insights for cross-cultural application, event management, cultural diplomacy, and community development. Suggestions for future research include comparative studies, longitudinal assessments, audience research, and policy analysis to further explore the dynamics and implications of cultural festivals in a global context. Overall, the research underscores the importance of cultural festivals as vehicles for cultural preservation, tourism promotion, and intercultural dialogue, fostering mutual understanding and appreciation across borders.

The study’s objective is to identify the challenges and limitations faced by the current vocational education system in preparing graduates in the era of the industrial revolution in the evolving job market in Tangerang, Indonesia. The study primarily examines vocational high schools and adopts a quantitative and quasi-experimental research approach, using control groups to conduct pre- and posttests. The experimental group experiences demonstrations, whereas the control group receives explanations. Instructors employ a blend of demonstration and explanation techniques to explain equipment operation before allowing students to engage in vocational training. The study, led by students in various engineering fields, evaluates technical competencies, work ethics, and foundational knowledge using tests and observations. Job preparation is assessed using the minimal completeness criteria (MCC), which focuses on the importance of proper knowledge, attitudes, and skills. The results indicate that vocational teachers have the potential to play a pivotal role in introducing cutting-edge, technology-based teaching methods, therefore enabling students to make well-informed decisions about their careers. This research enhances vocational education by incorporating practical skills and attitudes with academic knowledge, effectively addressing the changing requirements of the work market.