1. Fully understanding, studying and understanding students is one of the prerequisites for effective mathematics classroom teaching. Therefore, in order to make mathematics classroom teaching effective, we should make a more in-depth and concrete analysis of students so that teachers can prepare lessons and implement them. Good teaching design, stratification of teaching content, core issues and key points of discussion are all based on students' understanding. Good ideas and creativity are highly targeted, and both need to have a real understanding of students. The clearer you know about students, the more confident you will be in teaching. By adjusting the focus and process of teaching through timely feedback, we can question and deepen the problems in time and improve the effectiveness of mathematics classroom teaching. At the same time, every math teacher should fully realize that students are individuals with great development potential and individual differences, and they all have the right to develop and win respect. Teachers must respect each student's personality and communication, care about each student's study and life, and teach students in accordance with their aptitude. Then, every student with normal intelligence can develop healthily and succeed. 2. Studying the textbooks carefully, mastering the textbooks and mathematics textbooks is no longer the goal of students' mathematics learning, but understanding or mastering the contents presented in the textbooks is the most important task for students; Mathematics textbooks should be the basic starting point for students to learn mathematics, so that students can learn mathematics on the mathematics activity platform built by textbooks. Through the gradual infiltration of important mathematical thinking methods from the shallow to the deep, step by step, spiral upward, students are given full opportunities for exploration and communication, the main position of students in the process of mathematics learning is strengthened, and exploratory learning methods are highlighted, that is, students are given enough time and space to think and communicate in the process of knowledge learning, so that students can experience activities such as observation, experiment, guessing, reasoning, communication and reflection.