The course content should not only reflect the needs of the society and the characteristics of mathematics, but also conform to the students' cognitive laws. It includes not only mathematical conclusions, but also the formation process of mathematical conclusions and mathematical thinking methods. The content of the course should be close to students' life, which is conducive to students' experience, thinking and exploration. The organization of content should handle the relationship between process and result, between intuition and abstraction, and between life, situation and knowledge system. The presentation of course content should pay attention to hierarchy and diversification, so as to
Mathematics activity is a process of interaction between teachers and students. Effective mathematics teaching activities are the unity of teachers' teaching and students' learning. Students are the main body of mathematics learning, and teachers are the organizers and guides of mathematics learning.
Mathematics teaching activities must stimulate students' interest, arouse their enthusiasm and stimulate their thinking; Attention should be paid to cultivating students' good study habits and mastering effective learning methods. Students' learning should be a lively, active and personalized process. In addition to learning, hands-on practice, independent exploration and cooperative communication are also important ways of mathematics learning. Students should have enough time and space to experience activities such as observation, experiment, guessing, verification, reasoning, calculation and proof. Teachers' teaching should be based on students' cognitive development level and the experience of beneficial friends, face all students, pay attention to heuristic and personalized teaching, and provide students with sufficient opportunities for mathematics activities. We should properly handle the relationship between teachers' teaching and students' autonomous learning, take effective measures to inspire students to think and guide them to explore independently. Encourage students to cooperate and communicate, so that students can truly understand and master basic mathematical knowledge and skills, mathematical ideas and methods, get necessary mathematical thinking training and gain rich experience in mathematical activities.
The main purpose of learning evaluation is to fully understand the process and results of students' mathematics learning, stimulate students' learning and improve teachers' teaching. An evaluation system with multiple evaluation objectives and methods should be established. Evaluation should not only pay attention to the results of students' learning, but also pay attention to the learning process. We should pay attention to students' mathematics learning level and their emotions and attitudes in mathematics activities, so as to help students know themselves and try their best to be confident.
The development of information technology has a great influence on the value, goal, content and teaching methods of mathematics education. The design and implementation of mathematics curriculum should reasonably use modern information technology according to the actual situation, pay attention to the organic combination of information technology and curriculum content, fully consider the influence and advantages of calculators and computers on mathematics learning content and methods, and vigorously develop and provide students with rich learning resources. Take modern information technology as a powerful tool for students to learn mathematics and solve problems, and strive to change students' learning methods, so that students are willing and have more energy to invest in realistic and exploratory mathematics activities.