This research focused on the design and implementation of the flipped classroom approach for higher mathematics courses in medical colleges. Out of 120 students, 60 were assigned to the experimental group and 60 to the control group. In the continuous assessment, which included homework and quizzes, the average score of the experimental group was 85.5 ± 5.5, while that of the control group was 75.2 ± 8.1 (P < 0.05). For the final examination, the average score in the experimental group was 88.3 ± 6.2, compared to 78.1 ± 7.3 in the control group (P < 0.01). The participation rate of students in the experimental group was 80.5%, significantly higher than the 50.3% in the control group (P < 0.001). Regarding autonomous learning ability, the experimental group spent an average of 3.2 hours per week on self-study, compared to 1.5 hours in the control group (P < 0.005). Other potential evaluation indicators could involve the percentage of students achieving high scores (90% or above) in problem-solving tasks (25.8% in the experimental group vs. 10.3% in the control group, P < 0.05), and the improvement in retention of key concepts after one month (70.2% in the experimental group vs. 40.5% in the control group, P < 0.01). In conclusion, the flipped classroom approach holds substantial promise in elevating the learning efficacy of higher mathematics courses within medical colleges, offering valuable insights for educational innovation and improvement.

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.

Professional identity among faculty members in private higher education institutions plays a vital role in shaping the quality and sustainability of these institutions. This research aims to investigate the factors influencing the professional identity of teachers in Chengdu's private higher education institutions. The study employs a theoretical framework centered on "identification" with behavior intention, behavior attitude, and sense of belonging as fundamental dimensions. Data were collected through questionnaire surveys and analyzed using SPSS 23.0. The study hypothesizes that behavior intention, behavior attitude, and sense of belonging have a significant positive impact on professional identity among faculty members. Additionally, behavior attitude, subjective norms, and perceived behavioral control are expected to have a significant positive influence on behavior intention, and subjective norms and perceived usefulness may positively affect sense of belonging. The results are expected to provide valuable insights for enhancing the professional satisfaction and educational quality of faculty in private higher education institutions.