First, create an effective situation for students to actively participate in the activities of exploring new knowledge.
In classroom teaching, the application of mathematical knowledge has obvious characteristics of systematicness and expansibility, creating effective situations, stimulating interest, allowing students at all levels to participate in the activities of exploring new knowledge happily, gaining successful emotional experience and enhancing students' self-confidence.
Second, carefully design, so that students at all levels can actively participate in the learning process.
In classroom teaching, teachers should proceed from students' reality, highlight the key points, grasp the key points, and design carefully to help students devote themselves to the learning process as soon as possible. For example, tickets for amusement parks used to be 20% off for each 30 yuan during the June 1st period. How much can I save by buying a ticket? In teaching, first of all, we should figure out what it means to get a 20% discount, and then let students think. How to solve this problem? When students answer the first solution, they will ask, "How else can you solve it in one column?" Guide students to find out the percentage of savings first, and then how much money is saved? In this way, the questions are asked carefully and pertinently, which leads them to think from different angles and gives students the initiative, so that students at different levels can quickly understand and master the methods of analyzing and solving problems.
Third, organize discussions so that students at all levels can express their opinions.
In classroom teaching, the interaction and communication among students, teachers and textbooks can optimize the classroom teaching structure and improve the efficiency of classroom teaching. When students are confused about new knowledge and have problems, they should seize the opportunity and dispel doubts. Therefore, in teaching, in view of the doubts and difficulties in teaching, give full play to students' autonomy, organize everyone to exchange and show, and let students at all levels speak freely and express their opinions, which is conducive to mutual inspiration and common improvement. In the process of helping others, excellent students also make their knowledge more organized, and their language expression ability and logical thinking ability are cultivated, which is conducive to the mutual promotion and improvement of students at different levels under the influence of group education.
Fourth, the practice will be implemented at different levels, so that students at all levels can experience the fun of actively participating in the practice.
Students' original cognitive structure is one of the important factors affecting the quality of new learning. In order to enable students to master certain knowledge or skills firmly, we must attach importance to classroom exercises. If students at different levels of development are required to use unified exercises, they will either "have enough to eat" or "can't eat". According to the reality of students with different development levels, basic questions and thinking questions will be arranged. While practicing at different levels, more exercises can be carefully designed to make up for the time difference of students at all levels, broaden students' thinking of solving problems and further improve all students on the original basis.
Five, hierarchical evaluation, so that students at different levels can get a successful experience.
It is an important aspect of hierarchical teaching to evaluate the effectiveness of students based on their progress in the original knowledge level. Students who meet the standards at all levels are praised, so that students who have made progress can make progress to a higher level in time and encourage them to work hard at a higher level. Let all students keep a good progressive attitude, feel the joy of success and enhance their self-confidence.
Teaching practice tells us that teaching should face all students, step by step, and let students actively participate in learning and explore success, which is the basic foothold of implementing quality education. In classroom teaching, only by taking all students as the main body, giving full play to students' enthusiasm and initiative, participating in the learning process, making them truly masters of learning, and maximizing the learning enthusiasm of students at all levels, can each student be respected and developed on the original basis.