Functions are the core of algebra, and the teaching of function concepts is also the main task of high school mathematics Students' learning of functions and their concepts shifts from understanding specific quantitative relationships to understanding abstract quantitative relationships The monotonicity of functions, as the property of the first function that students learn in high school, lays a certain foundation for learning function related knowledge in the future.

While the rapid development of artificial intelligence has affected people's daily lives, it has also brought huge challenges to high school mathematics teaching, such as restructuring the classroom teaching structure, transforming the role of teachers, and selecting classroom teaching methods. Based on this, the article explores the application strategies of AI technology in improving knowledge introduction, improving mathematics classroom efficiency and stimulating students' learning interest, with a view to optimizing classroom teaching links, improving students' core discipline quality, and promoting the development of high school mathematics teaching informatization.

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.

With the deepening of the teaching reform work, the core literacy education concept is deeply rooted in the hearts of the people. While bringing innovative development opportunities and indicating the development direction for the junior high school geography curriculum reform, it also puts forward higher requirements for junior high school geography curriculum teaching activities. Under this situation, junior high school geography teachers should effectively cultivate students' comprehensive thinking ability in the teaching of geography courses, help junior high school students develop their thinking ability, and become qualified socialist builders and socialist successors as soon as possible. Based on this, this paper deeply analyzes the practical strategies for cultivating students' comprehensive thinking ability in the teaching of junior high school geography courses, for the reference of colleagues in the education field.