At this time, the original mathematical cognitive structure must be reorganized to adapt to the new knowledge content, so as to include it. This process is called adaptation. Adaptive learning is mainly the process of adapting existing knowledge to new knowledge.
For example, a lot of knowledge is arranged in a "tree structure", which is equivalent to the existing cognitive structure in our minds. When new knowledge comes into being, if it has no connection with the old knowledge in the original cognitive structure, when it is to be incorporated into the original "tree structure", it can only change the original structure, which is adaptation.
Extended data
The concept of learning is a generalization and abstraction of the essential attributes of a class of mathematical objects. It is an active process of constantly perceiving experience, a process of constantly processing and correcting the objects by the subject, and finally a process of constructing the objects by the subject. Its core is abstraction.
1, accumulate basic experience of concept learning through the process of concept formation.
Create an appropriate number of problem situations. Bruner pointed out that learners are the most valuable things in certain problem situations after experiencing and developing learning materials. This lesson created eight practical situations, from which eight concrete function relationships were established, analyzed the characteristics of these functions, and abstractly obtained the concept of the number of a function.
If there are too few perceptual materials, students' perception of the concept will not be sufficient, it will be difficult to comprehensively define and identify all the elements in the concept, the essential attributes and irrelevant attributes of the concept will not be sufficient, and the foundation for the formation of the concept will not be solid.
2. Determine a reasonable classification standard.
According to the different indexes of independent variables, through the classification of eight specific functions, the characteristics of a kind of function on the right side of the decomposition function of linear algebraic expression of independent variables are abstracted and expressed by a unified analytical formula, and then the concept of linear function is summarized, and the attributes unrelated to the concept of linear function are removed.