Mathematics education is a comprehensive scientific system that holds significant importance in studying the seamless integration between university mathematics education and secondary mathematics education. This research paper delves into the challenges encountered during the transition from high school to university mathematics and offers analytical strategies and recommendations for both teachers and students. The objective is to enhance the continuity and coherence of mathematics education. Furthermore, tailored recommendations are provided to bridge the gap between high school and university mathematics education, taking into consideration the unique characteristics of students from different provinces and cities.

Taking learning as the basis, practice as the path, and competition as the promotion. In the process of coordination and unity of learning-practice-competition, it can promote students' learning motivation, strengthen students' practice motivation, and promote students' active performance in competition activities. Under the influence of positive self-efficacy performance, active sense of achievement, etc., it can promote students' interest and experience in sports activities, strengthen students' learning effects, and promote the active construction of high-quality sports classrooms in junior high schools. Next, this article will discuss the effective construction of a high-quality junior high school sports classroom under the background of the integration of "learning-practice-competition" based on its own junior high school physical education teaching practice.

In the context of education informatization construction, the heavy responsibility of promoting the integration of new technologies into the classroom falls on the shoulders of educators. With the increasing maturity of virtual technology, a new classroom form gradually comes into our view. In this study, we use "Physics Lab" to carry out inquiry-based teaching, provide a virtual experiment platform, help students to construct knowledge through inquiry, and provide theoretical and practical references for teachers.