According to the curriculum standard, the most basic significance of rational spirit lies in respecting objective facts, questioning the habit of reflection and the consciousness of cooperation and communication with others. Reasoning includes deductive reasoning, inductive reasoning, analogy reasoning and other forms, and induction and analogy are the main forms of reasonable reasoning.

Under the new concept, the outstanding characteristics of the course content of space and graphics in compulsory education stage are: taking practical operation, measurement and simple reasoning as concrete processing methods, emphasizing students' intuitive experience (geometry class has a natural connection with practical activity class) and learning methods (namely "operation+reasoning"); Pay attention to the development of space concept and develop the aesthetic ability of graphics; It emphasizes the discovery of geometric truth and geometric argument, and advocates the learning of geometric reasoning based on geometric intuition and rich experience in geometric activities.

The curriculum standard also points out that the requirements of logical proof are not limited to geometry, but should be reflected in all fields of mathematics learning, including numbers and algebra, statistics and probability. For the teaching of geometric proof, the curriculum standard emphasizes to cultivate students' attitude of "reasoning with evidence", the spirit of respecting objective facts and the habit of questioning, form the consciousness of proof, understand the necessity and significance of proof, understand the thought of proof and master the basic methods of proof. Instead of pursuing the skills, speed, quantity and difficulty of proof.