Because mathematical thinking methods are often hidden behind knowledge, knowledge teaching contains thinking methods, but if mathematical thinking methods are not consciously taken as teaching objects, students often only pay attention to superficial mathematical knowledge and not to deep thinking methods. Therefore, in the teaching of mathematical thinking method, we must take mathematical knowledge as the carrier, show the thinking method hidden behind the knowledge and make it clear, so as to achieve the purpose of thinking method teaching through the process of knowledge teaching. 1. Why is Geometry Elements a closed deductive system? Based on a few original concepts, postulates and axioms, The Elements of Geometry deduces all the main propositions (theorems) in geometry known at that time by using logical rules, thus forming an orderly whole. In this system, except the logical rules, the arguments used to prove each theorem are postulate, axiom or dS- plane proof theorems, and the introduced concepts (except the original concepts) basically conform to the logical definition of concepts.

In all fields of social life, the implication of quasi-random phenomena is also closed. So, (geometric regularity. These are some mathematics) is a relatively closed restriction. Deductive system. 1, the significance of narrative abstraction and its 2. Briefly describe the process of computer in mathematics.

Three new uses of noodles. 1. A: Abstraction refers to proving some mathematical propositions by knowing things; In this process, we abandon those individual seconds, which are used to predict some mathematical and accidental non-essential attributes and possible results of problems. Thirdly, extract the universal and inevitable essence to verify the attributes of some mathematical problems, form scientific concepts, and grasp the essence and laws of things from the correctness of the results. 4. Briefly describe the thinking process of reduction method in mathematics. The application of human in thinking teaching. The abstraction of objects in induction begins with the comparison and distinction of applications in mathematics teaching. There are the following three aspects: 1) Using the so-called comparison is to learn new knowledge in thinking, determine the similarity between objects, and use reduction method to guide the solution of differences; The so-called distinction, problem-solving, and knowledge-sorting by reduction are to fix the similarities, structures and differences obtained by comparison in thinking. 5. What is the finiteness of the algorithm, and use it to divide the characteristics of objects? Give an example of different types that are uneconomical. Then, we illustrate the finiteness of subtraction and inclusion with examples. Giving up refers to the limitation of thinking. In the calculation dimension, some properties of an object must be completed in a limited number of steps, and inclusion refers to the stop of the object. Take this algorithm as an example, for example, take 2 and express it in words. As the initial data, this and 3 form an abstract concept, just like 2-3 = o.6666? In any case, a word is formed to indicate that this process cannot be concluded, thus completing a binding and there will be no abstract process.

Therefore, the meaning of division to 2 and 2, narrative summary and its three groups of numbers do not conform to the finite process of the algorithm. Sexual characteristics. A: Generalization means that in the process of understanding things 1 and simply describing arithmetic and attributes respectively, the algebra problem-solving methods learned are basically related to the general ideas obtained by each part of things, and their regional and essential attributes are compared. Answer: The arrangement of arithmetic problem-solving methods extends to the basic idea of all similar things: first, we should take things as the center, thus forming the number of such things and collecting and sorting out the thinking process of common concepts. There are three kinds of known data. According to the fact that generalization can usually be divided into empirical generalization questions, two kinds of theoretical generalization are listed. The formula of empirical data, and then proceed from the facts by including the observation statement of the formula conclusion obtained by four operations as the result. The basic basis of algebraic problem-solving method is that firstly, according to the problem, an algebraic expression containing the known number and unknown number of the species to which the individual belongs is composed of the cognitive conditions of individual characteristics, and then identification is carried out according to the equal characteristics. Theoretical generalization is to list the equations according to the quantitative relationship, and then generalization means to find the values of unknown quantities from the understanding of species characteristics through the identity transformation of equations on the basis of empirical generalization, and they rise to the understanding that the special difference of species belongs to is to participate in solving arithmetic problems, so as to reach the understanding that the guest quantity must be a known quantity, rather than observing the laws of the world. Theory and operation are often used in parameter science that allows unknown quantities in mathematical problem solving; Key generalization of arithmetic methods. The difference is the column equation, while a generalization process of algebra includes comparison and method. The emphasis is on the equations. Distinguish, expand, analyze, etc. 2. More decisive phenomenon, follow the main link.