Mathematical core literacy: including mathematical abstraction, logical reasoning, mathematical modeling, mathematical operation, intuitive imagination and data analysis. The cultivation of the core literacy of mathematics should be carried out through subject teaching and comprehensive practical activity courses.

Mathematical thinking: refers to the spatial form and quantitative relationship of the real world reflected in human consciousness, which is the result of thinking activities. Mathematical thought is the essential understanding after summarizing mathematical facts and theories; The thought of basic mathematics is the basic, summative and most extensive mathematical thought embodied or should be embodied in basic mathematics. They contain the essence of traditional mathematical thought and the basic characteristics of modern mathematical thought, and are historically developed.

Transformation from Mathematical Thought to Thinking

It is through deduction and induction that unknown, unfamiliar and complex problems are transformed into known, familiar and simple problems. The mathematical theories of ancient mathematics, such as trigonometric function, geometric transformation, factorization, analytic geometry, calculus and even ruler drawing, are permeated with the idea of transformation. Common transformation methods include: general special transformation, equivalent transformation, complex and simple transformation, number-shape transformation, structural transformation, association transformation, analogy transformation and so on.

Transformation thinking can also be called transformation thinking in a narrow sense. The idea of transformation is to transform the problem A to be solved or difficult to solve into the problem B with a fixed solution or easy to solve by some transformation means, and solve the problem A by solving the problem B. ..