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.

This study aims at exploring the direct impact of positive mental health through 6 factors on quality of life among students with disabilities and diabetes at Saudi universities, as well as the moderating impact of physical fitness on all direct relationships among all variables of the study. Employing a quantitative research methodology, using self-administered surveys distributed to a sample of students with disabilities and diabetes at numerous Saudi Arabian universities. 468 completed surveys were received and subjected to statistical analysis, using PLS-SEM, and the study uncovered significant positive direct relationships between all positive mental health sub factors and quality of life among students. Additionally, the study revealed that physical fitness acts as a moderator in all direct relationships These findings offer valuable insights for universities, in order to develop and implement psychological support and academic adjustments policies ensuring students have access to health and wellness programs, and engage local communities in the creation of policies that can help students with disabilities.

Online community facilitates firm-consumer and consumer-consumer interactions for value co-creation. This study explores the relationship between social capital of online community users and community value co-creation in the context of the Xiaomi community. In the study, the forms of value co-creation are differentiated into two forms: initiated value co-creation and participatory value co-creation, and the effects of different types of online community users’ social capital on the forms of value co-creation in which they participate are empirically examined, and the results find that: structural capital has a significant positive effect on initiated value co-creation, while the effect on participatory value co-creation is insignificant; cognitive capital has a significant positive effect on both initiated value co-creation and participatory value co-creation; and cognitive capital has a significant positive effect on both initiated value co-creation and participatory value co-creation. In this context, the present study contributes to a deeper comprehension of the interplay between social capital and models of value co-creation.

Application-oriented universities play a vital role in transporting application-oriented talent to regional industries and industries. In this paper, we discuss the significance and path of building experimental centers for economic management in application-oriented universities and highlight their role in student learning, school-business cooperation and social development. At the same time, it summarizes the problems found during the construction of the experimental center at case University and suggests some improvements, which serve as a reference for the construction of economic management experimental centers at similar universities.