First, the thought of function and equation:
The idea of function is to analyze and study the quantitative relationship in mathematics from the point of view of movement change, establish the functional relationship or construct the function, and then analyze and solve the related problems by using the image and nature of the function. The idea of equation is to analyze the equivalence relation in mathematics, construct an equation or an equation, and analyze and solve problems by solving or using the properties of the equation.
Second, the combination of numbers and shapes:
According to the internal relationship between the conditions and conclusions of mathematical problems, this paper not only analyzes its algebraic significance, but also reveals its geometric significance, so as to skillfully and harmoniously combine quantitative relations with figures, and make full use of this combination to seek the idea of disintegration and solve problems.
Third, the idea of substitution law:
In the process of solving problems, in order to solve problems further, the formula of one or several letters is taken as a whole and represented by a new letter. Method of substitution can simplify a complicated formula and turn the problem into a more basic problem than the original one, so as to achieve the purpose of simplifying the complex and turning the difficult into the easy.
The significance of learning junior high school mathematics;
First, improve the logical thinking ability:
Mathematics is a rigorous science, which needs accurate logical reasoning ability. In junior high school mathematics learning, students need to master various logical reasoning methods, such as induction, deduction and analysis. Through the training of these methods, students can not only improve their logical thinking ability, but also help them improve their problem-solving ability.
Second, cultivate mathematical thinking habits:
Mathematics learning in junior high school is helpful to cultivate students' mathematical thinking habits. Mathematical thinking is a way of thinking from the whole to the part, which can help students better understand and master mathematical knowledge. Through the training of mathematical thinking, students can better deal with various mathematical problems, so as to better master and apply mathematical knowledge.
Third, improve mathematics literacy and application ability;
Mathematics learning in junior high school is helpful to improve students' mathematics literacy and application ability. Mathematics is a basic discipline, and it is the foundation and tool of other disciplines. Learning junior high school mathematics well is very helpful for future study and work. Through the study of junior high school mathematics, students can master mathematical knowledge and skills, so as to better apply mathematical knowledge and solve practical problems.