The paper provides a comprehensive and in-depth analysis of the study of learning progression in the field of mathematics. Through combing and analyzing the relevant literature at home and abroad, the paper summarizes the importance and current situation of learning pro_x005fgression in the field of mathematics education. Learning progression refers to the process of deepening and expanding students’ understanding and mastery of knowledge in the learning process. Research on learning progression in mathematics focuses on conceptual understanding and skill mastery, providing guidance for instruction by analyzing elements such as learners’ thinking patterns, problem-solving abilities, and conceptual understanding. Meanwhile, learning progression also provides an effective tool for assessing students’ learning progress and understanding. Based on the literature review, the dissertation also explores the implications of current research on learning progression for mathematics education and future research questions. In conclusion, the dissertation provides a systematic review of learning progression in mathematics, which provides important references and insights for further in-depth research.

The increasing frequency of extreme weather events due to climate change poses significant risks to urban rail systems, especially in disaster-prone regions like Indonesia. Urban railways, with limited rerouting options, are highly vulnerable to natural disasters such as floods, landslides, and earthquakes. These disruptions can cause cascading economic impacts, including infrastructure damage, productivity loss, and prolonged travel times. This study develops a methodological framework to assess disaster risk and climate vulnerability in urban rail systems, with Bandung, Indonesia, as the case study. The framework integrates Climate Vulnerability and Risk Assessment (CVRA) with the Movement and Place (M&P) framework, leveraging Geographic Information System (GIS) technology to identify and prioritize high-risk areas. CVRA evaluates hazards, exposure, and vulnerabilities, while M&P assesses the functional significance of transport nodes based on movement patterns and land use density. The combined analysis produces a risk matrix, enabling targeted mitigation strategies that integrate engineering solutions, urban planning, and policy interventions. Findings highlight critical vulnerabilities in Bandung’s proposed LRT system, particularly at stations susceptible to earthquakes and landslides. Recommended mitigation measures include resilient infrastructure designs, strategic planning for high-risk zones, and stakeholder engagement for prioritization. This framework offers practical guidance for policymakers to enhance urban rail resilience, reduce climate-related risks, and ensure sustainable urban mobility. It serves as a scalable model for other cities in Indonesia and globally, supporting adaptive and sustainable transport systems.

This paper, adopting the theoretical perspective of the “Classroom Revolution” and focusing on the “Applied Advanced Mathematics” course, investigates the practices and research in curriculum teaching reform in dual higher vocational colleges. By introducing new teaching methodologies, optimizing teaching resources, and employing diverse evaluation methods to comprehensively assess students’ overall abilities, the aim is to enhance teaching effectiveness and quality. The research not only emphasizes changes within the classroom but also examines the broader impact of the “Classroom Revolution” on the overall educational reform in dual higher vocational colleges. Through analyzing practical outcomes, proposing reform strategies, and offering recommendations, this study aims to provide valuable experiences and references for curriculum teaching reform and research in dual higher vocational colleges, fostering academic exchange and promoting the improvement of teaching quality.

The group pattern and differential pattern as describing the Chinese and Western societies not only reflect the differences in the social structure of China and the West, but also show the differences in the Chinese and Western home-state associations to a certain extent. Based on Hegel’s Principles of the Philosophy of Law and Zhou Feizhou’s One Book and One Body, this paper tries to find out where the differences between Chinese and German family-state associations lie. Based on the two discussions, the author believes that the differences between the two home-state associations lie in the different importance of the home, the different intermediate links in the transition from home to state, and the different political ethics. With the development of modern society, the community is in the process of continuous downgrading, while the Chinese family-state unity still has a certain vitality and vigor also shows that the Chinese and Western communities do not need to be destined. The social structure of modern Germany shows an obvious group pattern, and under the group pattern, the family-state connection in Germany lacks the intermediate link of transition from family to civil society. This is where the difference between the two countries lies.