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.

This study aims to explore the link and match policy through industrial classes and its impact on the competence and employability of Vocational High School (VHS) graduates. The importance of this research is to address the gap between education and industry by assessing the effectiveness of industrial classes in improving the skills and employability of VHS graduates. Horison Industrial Class (HIC) in 4 schools, namely: (1) SMKN 57 Jakarta, 2 batches of Hospitality expertise programs; (2) SMKN 6 Yogyakarta, there are 3 batches of Hospitality expertise programs; (3) SMKN 6 Semarang, there are 2 batches of Hospitality expertise programs; (4) SMKN 2 Semarang. This research emphasizes the important role of industry involvement and commitment in aligning the curriculum with industry needs. The field findings show that the implementation of the link and match policy through industrial classes significantly affects the quality of learning in VHS. The study also highlights the influence of government support and industry associations in ensuring the successful implementation of industrial classes. Student participation in industry classes directly enriches their learning experiences by allowing them to engage in direct practice in a real work environment. These findings can contribute to the implementation of policies and regulations in the field of education, especially in the context of vocational education. The findings of this study can also be applied to vocational students to improve the quality of graduates in order to meet the qualification standards of employees in companies or industries.

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.

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.

"Physics Curriculum Standards for Compulsory Education (2011 Edition)" requires that physics teaching in junior high schools should focus on the development of students' scientific abilities, including the development of scientific knowledge and skills, scientific methods and attitudes. In view of the problems existing in middle school physics teaching such as being out of touch with real life, lack of interest, and traditional indoctrination teaching, integrating STEAM education concepts into physics experiment courses can greatly improve the interest of physics teaching and put students first. , teachers as instructors and assistants to improve the existing problems in the current physics teaching. Therefore, how to reasonably apply the STEAM education concept to the physical experiment course is a question worth exploring. I take "the design and production of floating sinks" as an example. The general idea is to build the main line of classroom teaching: the smoothness of knowledge logic, the progress of students' cognitive laws, the smooth design of teaching activities, and how to learn buoyancy and explore objects. To better understand the floating and sinking of objects when floating and sinking, interspersed with the educational concept of STEAM.

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.