I think it has something to do with axioms.

From ancient times to the present, China's mathematics has been produced by visualization, not axiomatic mathematics, and the emergence of non-axiomatic mathematics has also provided a favorable foundation for the development of China's mathematics.

This issue is not only related to the construction of the motherland, but also to its future development.

Here are only suggestive suggestions:

"Teacher, so preach and teach."

Piaget pointed out in his book Structuralism that the thinking structure has three elements: wholeness, transformation and self-adjustment. The integrity of the structure means that the structure has internal coherence, and the arrangement of components in the structure is organic, not a mixture of independent components. The whole and its components are determined by an internal law. The transformation of structure means that the structure is not static, but there are some internal laws that control the movement and development of the structure. The self-tunability of structure refers to the schema in the balanced adjustment structure, that is to say, the structure adjusts itself because of its own laws and does not depend on external factors, so the structure is self-adjusting and closed.

stage of development

1. The process of psychological development is a continuous organizational restructuring process with continuous internal structure. However, due to the interaction of various development factors, children's psychological development has stages.

2. Each stage has its own unique structure, which shows the characteristics of a certain stage; Due to various factors, such as differences in environment, education, culture and subjective motivation, the stages can be advanced or postponed, but the order of the stages remains unchanged.

3. The appearance of each stage, from low to high, has a certain order and a certain intersection.

4. Each stage is a necessary condition for the formation of the next stage. The structure of the previous stage is the basis of the structure of the latter stage, but it is qualitatively different from the previous two stages. Piaget

5. In psychological development, the two stages are not completely divided, but have a certain intersection.

6. The new level of psychological development is the new integration and new structure of various factors, and various development factors are gradually integrated from unsystematic contact. Where did this whole structure come from? Piaget believes that under the influence of environmental education, people's action patterns have formed essentially different psychological structures through continuous assimilation, adaptation and balance, which also forms different stages of psychological development.