1. Teaching objectives and contents: Evaluate whether the teachers have defined the teaching objectives, whether the contents meet the curriculum standards and the actual level of students, and whether they are targeted and practical.

2. Teaching methods and strategies: Evaluate whether teachers have adopted teaching methods suitable for students, such as heuristic teaching and inquiry teaching, and whether they have used effective teaching strategies, such as group cooperation and classroom interaction.

3. Teaching organization and management: evaluate whether teachers can arrange class time reasonably, control teaching progress and ensure that teaching content can be fully displayed. At the same time, teachers should also pay attention to the management of students, such as classroom discipline and student participation.

4. Students' performance and learning effect: observe students' performance in class, such as the seriousness of class, the ability to think and solve problems, the completion of homework after class and academic performance. By comparing the actual level of students with the expected goal, the teaching effect is evaluated.

5. Teachers' professionalism and teaching attitude: Evaluate whether teachers have solid professional knowledge, treat teaching seriously and responsibly, and care about students' growth and development.

6. Teaching environment and resource utilization: evaluate whether the classroom layout is reasonable, whether the teaching equipment is complete, and whether the teachers can make full use of the existing resources to improve the teaching quality.

7. Teaching feedback and improvement: Encourage teachers to collect opinions and suggestions from students and parents in time, so as to adjust teaching strategies and methods and continuously improve teaching level.

In a word, when making detailed comments on primary school mathematics classroom teaching, we should make comprehensive analysis from multiple angles, paying attention to both teachers' teaching behavior and students' learning effect. At the same time, we should pay attention to finding problems and deficiencies in teaching, and put forward constructive opinions and suggestions to promote teachers' professional development and improve teaching quality.