This study investigates pedagogical content knowledge (PCK) among teachers teaching mathematics at the preschool level in Colombia, highlighting the importance of integrating mathematical knowledge with innovative and effective pedagogical strategies. Using a mixed exploratory and transactional methodology, the perceptions and practices of 82 teachers were examined, focusing on their understanding of mathematical content, pedagogical skills, and knowledge of children's cognitive development. The findings reveal a significant gap in teachers' understanding of these concepts, indicating a critical need to strengthen PCK among teachers. To this end, training should be provided to enable teachers to foster meaningful and contextualized mathematical learning in preschool students. The study suggests reviewing teacher training curricula and fostering the development of pedagogical strategies that prioritize conceptual understanding and mathematical reasoning. Additionally, it identifies critical areas for improvement and offers concrete recommendations for transforming mathematics teaching in preschool education. To enhance the quality of mathematics education, several measures are proposed: ensuring continued availability of training programs for teachers, encouraging collaboration between educators, adopting constructivist approaches, and helping teachers understand the value of mathematics learning outside the school.

Hate speech in higher education institutions is a pressing issue that threatens democratic values and social cohesion. This research explores student perspectives on hate speech within the university setting, examining its forms, causes, and impacts on democratic principles such as freedom of expression and inclusivity. This research is extended to determine the debates and theories elaborated from different perspectives qualitative and quantitative analysis of data collected from 108 participants at Higher Education in Kosovo. From the communication standpoint, analyzing hate speech in the media and social media is key to understanding the type of message used, its emitter, how the message rallies supporters, and how they interpret message. The findings highlight the need for proactive policies and educational interventions to mitigate Research on hate speech in higher education in Kosovo is crucial for fostering social cohesion and inclusivity in its diverse society. Hate speech undermines the academic environment, negatively affecting students' mental health, learning outcomes, and overall well-being, necessitating efforts to create safer educational spaces. The study aligns with Kosovo's aspirations for European integration, emphasizing adherence to human rights and anti-discrimination principles. Despite the issue's significance, there is a lack of empirical data on hate speech in Kosovo's higher education, making this research vital for evidence-based policymaking. With a youth-centric focus, the study aims to educate and empower young people as future leaders to embrace respect and inclusivity. By addressing hate speech's local challenges and global relevance, the research supports institutional reforms and offers valuable insights for post-conflict and multicultural societies. Hate speech while fostering a culture of mutual respect and democratic engagement.

Formation of the latest scientific and methodological principles and the determination of the most important directions of the paradigm of the analysis of artistic creativity and text have been represented as actual problems of the theory of modern Kazakh literary criticism. The purpose of the work is to consider and analyze the modern concepts of Kazakh literary criticism, to evaluate the contribution of scientists from the period of independence of Kazakhstan in the development of theoretical analysis and interpretation of the artistic originality of national literature. The article discusses new trends in the theory of Kazakh literary criticism, changes in methodology, which are due to the leading positions of world literary criticism. In this regard, the article offers an analytical review of the main scientific and theoretical studies in the field of literary criticism, defines the evolution of the concepts of scientific and theoretical thought, identifies the principles and main aspects of the study of literature in a new way, shows certain achievements in close relationship with historical stages, as well as tasks future research; literary-theoretical and philosophical-aesthetic searches in modern Kazakh literary criticism are evaluated, the prospects for its development are determined.

Sustainability has become increasingly important in recent decades and has become a key concept in various areas of society. The early integration of sustainability principles into education is of crucial importance, as the elementary school years represent a decisive phase in children's development. During this phase, fundamental values, attitudes, and behaviors are formed that will have a significant impact on later lives and the relationship with the environment. Elementary school offer a unique opportunity to reach people from different social backgrounds and thus impart a common basic knowledge that can serve as a basis for shaping a sustainable society. Elementary schools are therefore an ideal place to introduce children to the principles of sustainability and sensitize them to the challenges of the 21st century. The aim of the study is to explore the current state of sustainability education in elementary school. It takes a closer look at whether elementary school students are old enough to be confronted with sustainability, what methods already exist and what the challenges are in implementing sustainability education. The basis for the study is an online survey conducted at 60 different elementary school in the state of Baden-Wuerttemberg in Germany. In conclusion, while there is room for improvement, the survey results suggest a growing awareness of the significance of sustainability education in elementary schools. The findings call for targeted efforts to enhance curriculum integration, teacher training, and resource provision to promote a more sustainable and environmentally conscious generation of students in Baden-Wuerttemberg.

This study meticulously explores the crucial elements precipitating corporate failures in Taiwan during the decade from 1999 to 2009. It proposes a new methodology, combining ANOVA and tuning the parameters of the classification so that its functional form describes the data best. Our analysis reveals the ten paramount factors, including Return on Capital ROA(C) before interest and depreciation, debt ratio percentage, consistent EPS across the last four seasons, Retained Earnings to Total Assets, Working Capital to Total Assets, dependency on borrowing, ratio of Current Liability to Assets, Net Value Per Share (B), the ratio of Working Capital to Equity, and the Liability-Assets Flag. This dual approach enables a more precise identification of the most instrumental variables in leading Taiwanese firms to bankruptcy based only on financial rather than including corporate governance variable. By employing a classification methodology adept at addressing class imbalance, we substantiate the significant influence these factors had on the incidence of bankruptcy among Taiwanese companies that rely solely on financial parameters. Thus, our methodology streamlines variable selection from 95 to 10 critical factors, improving bankruptcy prediction accuracy and outperforming Liang's 2016 results.

Given the multifaceted nature of crime trends shaped by a range of social, economic, and demographic variables, grasping the fundamental drivers behind crime patterns is pivotal for crafting effective crime deterrence methodologies. This investigation adopted a systematic literature review technique to distill thirty key factors from a corpus of one hundred scholarly articles. Utilizing the Principal Component Analysis (PCA) for diminishing dimensionality facilitated a nuanced understanding of the determinants deemed essential in influencing crime trends. The findings highlight the necessity of tackling issues such as inequality, educational deficits, poverty, unemployment, insufficient parental guidance, and peer influence in the realm of crime prevention efforts. Such knowledge empowers policymakers and law enforcement bodies to optimize resource allocation and roll out interventions grounded in empirical evidence, thereby fostering a safer and more secure societal environment.