Mathematical core literacy: mathematical abstraction, logical reasoning, mathematical modeling, intuitive imagination, mathematical operation and data analysis.

1, mathematical abstraction

Mathematical abstraction refers to the thinking process of obtaining mathematical research objects by giving up all physical attributes of things. It mainly includes: abstracting the relationship between mathematical concepts and concepts from the relationship between quantity and shape, abstracting general laws and structures from the specific background of things, and expressing them with mathematical symbols or mathematical terms.

2. Logical reasoning

Logical reasoning refers to the thinking process of deducing a proposition from some facts and propositions according to logical rules. It mainly includes two categories: one is reasoning from special to general, and the main forms of reasoning are induction and analogy; One is from general to special reasoning, and the main form of reasoning is deduction.

3. Mathematical modeling

Mathematical modeling is a process of abstracting realistic problems mathematically, expressing problems in mathematical language, and establishing models to solve problems with mathematical knowledge and methods. It mainly includes: finding problems, putting forward problems, analyzing problems, establishing models, solving conclusions, verifying results and improving models in actual situations, and finally solving practical problems.

4. Intuitive imagination

Intuitive imagination refers to the process of perceiving the shape and change of things with geometric intuition and spatial imagination, and understanding and solving mathematical problems with graphics. It mainly includes: understanding the position relationship, morphological change and motion law of things with the help of space; Describe and analyze mathematical problems with graphics; Establish the connection between form and number; Construct an intuitive model of mathematical problems and explore solutions.

5. Mathematical operations

Mathematical operation refers to the process of solving mathematical problems according to the operation rules on the basis of clear operation objects. It mainly includes: understanding the operation object, mastering the operation law, exploring the operation direction, selecting the operation method, designing the operation procedure and obtaining the operation result.

6. Data analysis

Data analysis refers to the process of obtaining relevant data from the research object, analyzing and inferring useful information in the data by statistical methods, and forming knowledge. It mainly includes: collecting data, sorting out data, extracting information, establishing models, analyzing and inferring information, and drawing conclusions.