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.

In the Indian context, financial planning for salaried individuals has gained increased importance due to economic fluctuations, rising living costs, and the need for robust retirement planning. Despite its importance, there is limited research on the specific factors that influence financial decision-making among salaried employees in India. Understanding these determinants is essential for developing effective strategies to enhance financial well-being among employees. This study explores the key factors influencing financial decision-making among employees, including financial goals, emergency savings, retirement planning, budgeting, financial confidence and literacy, financial stress, use of tax-saving instruments, income level, risk tolerance, and debt levels. A sample of 549 employees from diverse sectors in Uttar Pradesh participated in this research, highlighting the critical aspects of personal financial management that impact financial well-being. The study used a questionnaire-based survey to gather data on factors affecting financial decision-making. Descriptive statistics, correlation, and regression analyses were employed to identify significant predictors. The results reveal that financial literacy, access to resources, attitudes toward retirement planning, and cultural norms significantly influence financial decisions. Additionally, income level, job stability, and social support are crucial in shaping employees’ financial planning. The study recommends enhancing employees’ financial decision-making by offering financial education programs, budgeting tools, retirement planning assistance, debt management programs, tax planning workshops, financial counselling services, and employer match programs for retirement savings. These initiatives aim to boost financial literacy and confidence, enabling employees to make informed financial decisions and improve their financial well-being.

The Public-Private Partnerships management model (PPP) in Portugal was initially applied to the highways sector. Recently, this model began to spread to the health sector for hospital management. The recent growth of patient’s knowledge and expectations regarding the quality of healthcare services is compelling service providers to pursue new ways of delivering this care to meet users’ expectations. One wonders if the increase in patient access to knowledge may indicate a growth in health literacy, particularly regarding PPP Hospitals. This study assesses the Portuguese population’s literacy level regarding the PPP Hospital model, using a quantitative research approach based on a survey of the Portuguese population served by PPP hospitals and a Public Hospital Management (PHM) model. It was found that the Portuguese population has a low literacy concerning the PPP model, which can cause feelings of injustice. It was found that PPP users tend to have a favourable opinion regarding private involvement since they are also more satisfied compared to PMH users. These results may impact political decision-making concerning the renewal of new contracts for private management of public services.

The promulgation of the Curriculum Standards for ordinary high School (2017 edition, 2020 revision) has effectively promoted the reform of high school mathematics classroom. In order to cope with the change of textbook content in the new curriculum reform, it has become one of the important tasks for high school mathematics teachers to implement teaching activities better and sort out and analyze the differences between the old and new textbooks. This paper analyzes the differences between old and new textbooks from the three dimensions of system structure, course content and example exercises, and gives some reasonable teaching suggestions. Among them, the new textbook uses 2019 "Ordinary High School Textbook" person-taught A version of Compulsory Mathematics 1, and the old textbook uses 2004 "Ordinary High School Mathematics Curriculum Standard Experimental Textbook" person-taught A version of compulsory Mathematics 4. In general, the adjustment of the new teaching materials is more in line with the cognitive characteristics of students, pay attention to the penetration of mathematical culture and pay attention to the development of students' mathematical core literacy.

Lifelong learning is the core content of university education work in the new period, and it is also the basic task of education work in colleges and universities. The second classroom is a kind of organized and planned educational and practical activities aiming at cultivating students' extracurricular ability and comprehensive quality. In the context of the new era, emphasizing and strengthening the construction of the second classroom in colleges and universities is an inevitable requirement for improving the quality of ideological and political education in colleges and universities. At present, there are still some problems in the moral education of the second classroom in colleges and universities in China. In order to enhance the effect of moral education in the second classroom of colleges and universities in the context of the new era, it is necessary to make a clear target positioning of the moral education of the second classroom, improve the process between the second classroom and the first classroom, and establish a three-dimensional system of moral education in the second classroom, so as to enhance its infectious and persuasive power.