1. number cognition: able to recognize and write numbers from 0 to 9, and understand the relationship and order between numbers.

2. Addition and subtraction: master addition and subtraction within two digits, including the concepts of carry and abdication.

3. Multiplication and division operation: I have a preliminary understanding of the concept of multiplication and division, and can perform simple multiplication and division operations.

4. Quantity comparison: the sizes of two or more quantities can be compared and expressed by symbols such as greater than, less than and equal to.

5. Concept of score: Understand the concept of score initially, and be able to divide a whole into several parts to understand the meaning of score.

6. Clock and calendar: Be able to read clocks and calendars, including the concepts of hours, minutes, dates and weeks.

7. Graphic cognition: able to recognize and describe common two-dimensional graphics, such as squares, rectangles, circles, etc.

8. Measurement and unit: Have a preliminary understanding of the measurement unit of length, weight and capacity, and can make simple measurement and conversion.

9. Problem-solving ability: Ability to solve practical problems by using the learned mathematical knowledge and methods, and cultivate logical thinking and analytical ability.

10. Practice and application: Through a lot of practice and application, the learned mathematical knowledge and skills are consolidated, and the ability to calculate and solve problems is improved.

When studying mathematics in grade three, students also need to cultivate good study habits, such as listening carefully, taking notes, reviewing in time and completing homework. At the same time, the guidance and encouragement of parents and teachers are also very important, helping students build self-confidence and interest and stimulate the motivation of learning.