Whether the goals of knowledge, ability and values are clear, whether the teaching purpose meets the requirements of mathematics curriculum standards and students' reality, and whether the requirements of knowledge, skills, ability training and ideological education are clear, appropriate and feasible.

Whether the teaching objectives are embodied, whether the knowledge explanation is scientific and systematic, whether theory is combined with practice, and whether the understanding and handling of teaching materials are scientific.

The teaching arrangement is gradual, hierarchical, systematic and close.

2. Basic teaching skills

Whether the teaching language is clear, accurate, concise, popular, vivid and logical, and whether Putonghua is used for teaching.

Whether the blackboard design is scientific, neat, perfect, concise, pertinent and clear.

Whether you can skillfully use modern teaching equipment, instruments and modern teaching methods for teaching, demonstration and explanation, and whether demonstration and explanation can be organically combined,

3. Teaching methods

Whether the choice of methods is flexible and diverse, whether it is suitable for the purpose and content of teaching, whether it is suitable for the age characteristics of students, and whether classroom teaching is witty.

Whether to give priority to teachers' explanation, how to embody students' subjectivity in class, whether the choice of teaching principles is scientific and reasonable, and whether it is in line with students' reality.

Whether the time allocation of teachers' lectures, exercises, demonstrations, writing on the blackboard and primary and secondary contents is reasonable, whether they can do intensive lectures and practice more, and strengthen ability training.

Whether to consciously and appropriately use vivid examples to stimulate students' learning motivation, cultivate students' interest in learning and improve teaching efficiency.

4. Teaching effect

Whether teachers can grasp students' feedback information in time and take corresponding control measures for teaching.

Whether the students listen carefully, think positively and speak boldly, and whether their learning enthusiasm is fully mobilized.

Whether the students with good, medium and poor foundation try their best to gain something and improve in a balanced way. How do students master the knowledge and skills of this class and how do they develop their abilities?