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.

With the development of teaching reform, how to optimize funding and education activities from the perspective of "Great Ideological and Political Education" and improve accuracy has become a focus. From the analysis of the current teaching development situation, the guiding role of ideological and political education in funding precision education activities has been very obvious. To better enhance the effectiveness of funding education, actively optimize the precision of funding education, and innovate the way related activities are carried out, which is an inevitable choice for better education work. Based on this, this article mainly studies the precise methods of funding education under the perspective of "Great Ideological and Political Education", for reference only.

Personal branding is a conscious activity that utilizes classic product marketing methods to make a person more marketable. In our study, we employed a quantitative research methodology. Through a survey, we examined the importance respondents assign to visible and non-visible traits and characteristics. During the data analysis, we established a ranking of the most important traits identified by the survey participants, which they believe contribute to a more favorable perception. Among the top five ranked traits—reliability, appearance, charisma, grooming, and authenticity—three are recognizable during the first encounter. Our findings suggest that women place greater emphasis on social perception than men, making them more likely to remain unnoticed. At the same time, younger generations tend to overvalue their presence on social media platforms.

As a key factor in the macroeconomic process, the interaction between public confidence and the commodity market, especially its impact on commodity facilitation returns and macroeconomic linkages, is worth exploring in depth. This study adopts the TVP-SV-VAR model to analyze the causal linkages, dynamic characteristics, and mechanisms of the interaction, and reveals the following core findings: (1) The economic background and information shocks contribute to the variations in the effects and orientations of the economic variables, which highlight the time-varying nature of the economic interactions. (2) Consumer and investor confidence exert heterogeneous influence on the macroeconomy, and their different responses to the negative effect of interest rates and convenience gains are particularly significant in the post-crisis recovery period. (3) In the short-term perspective, the influence of public confidence on monetary policy and inflation exceeds that in the medium and long term, highlighting the immediate sensitivity of individual economic behavior. (4) Since 2015, accommodative monetary policy has accelerated market capital flows, delaying the interaction between confidence indices and inflation, revealing policy time lag effects. (5) Convenience gains exhibit complex time-varying interactions with key economic parameters (interest rates, commodity prices, and inflation), with 2011 and 2014 displaying particular patterns, mapping differences between short- and long-term mechanisms, respectively. The study highlights the central role of consumer and investor confidence in the precise tailoring of macroeconomic policies, providing a scientific basis for policy forecasting and economic regulation, and contributing to economic stability. Meanwhile, the dynamic evolution of consumer confidence deepens market trend foresight, enhances the precision of market participants’ decision-making, and reinforces the resilience and predictability of economic operations.

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 bibliometric review of scientific production on the social and economic factors that influence mortality from tuberculosis between the years 2000 and 2024. The analysis covered 1742 documents from 848 sources, revealing an annual growth of 6% in scientific production with a notable increase starting in 2010, reaching a peak in 2021. This increase reflects growing concern about socioeconomic inequalities affecting tuberculosis mortality, exacerbated in part by the COVID-19 pandemic. The main authors identified in the study include Naghavi, Basu and Hay, whose works have had a significant impact on the field. The most prominent journals in the dissemination of this research are Plos One, International Journal of Tuberculosis and Lung Disease and The Lancet. The countries with the greatest scientific production include the United States, the United Kingdom, India and South Africa, highlighting a strong international contribution and a global approach to the problem. The semantic development of the research shows a concentration on terms such as “mortality rate”, “risk factors” and “public health”, with a thematic map highlighting driving themes such as “socioeconomic factors” and “developing countries”. The theoretical evolution reflects a growing interest in economic and social aspects to gender contexts and associated diseases. This study provides a comprehensive view of current scientific knowledge, identifying key trends and emerging areas for future research.