Four thoughts on mathematics: combination of numbers and shapes, transformation of ideas, classified discussion of ideas, and holistic thinking. Eight mathematical methods: collocation method, factorization method, undetermined coefficient method, method of substitution method, construction method, equal product method, disproof method and discriminant method.

These are the common ways of thinking in learning. These are often used in the process of learning mathematics. In different learning stages, the application of mathematical thinking methods is also different, and the emphasis is also different. The classification of thinking methods is also different.

Overview of methods

The idea of function is to analyze and study the quantitative relationship in mathematics from the viewpoint of movement and change, to establish a functional relationship or construct a function, and to analyze and transform the problem by using the image and nature of the function, thus solving the problem.

The idea of equation is to analyze the equivalence relationship between variables in mathematical problems, establish equations or equations, or construct equations, analyze and transform problems by solving equations or equations, or solve problems by using the properties of equations.