The Study Of Building Mathematics Knowledge Network Construction

The knowledge network of mathematics is the concrete embodiment in mathematics discipline of knowledge network, it has a characteristic of general network knowledge, containing its mathematics' unique place . We think it is the network between mathematics knowledge and student, change with studying the change of the subject, and it is the network between the mathematics knowledge too. It is knowledge system of mathematics course and the teaching material, formed the knowledge structure by mathematics concept, axiom, theorem and method, it is a kind of objective reality. It is a foundation of the cognitive structure of forming students, the more precise conception that sharping on student's foundation of the knowledge structure.It is necessary to optimize and perfect mathematics structures in mid-school mathematics teaching. Viewing from general process, mathematics study is a process in which new learning contents and original mathematics structures act on each other and a new structure is then formed;Viewing from meaningful study theory, any knowledge that students have learned is not fragmentary or isolated but constitute knowledge structures and build mutual relations between knowledge; viewing from information-processing theory ,we can improve our memorizing ability of working, if we can organize necessary information into "group lump" reasonably and effectively in the form of "structure" and concentrate more information into a new "group lump". Perfecting cognition structures is an effective way in which our thinking can be suited to huge and long-term memorizing; Viewing from the theory of establishment , mathematics study means that subjects are forming a net-frame between new knowledge and all other factors so as to obtain new knowledge.According to the connection and difference of each knowledge, and the lessons styles of actual conditions and teacher while giving lessons, Mainly there are different forms of the following aspects in the construction of the knowledge network of mathematics: Tandem, parallel, branch, radial. According to different contents of teaching, the knowledge network of mathematics can adopt the following modes to construct: Adopt" Point-fixing, line-connecting, surface-forming , unity-composing " mode construct. Point-fixing is to make students understand further the mutual concepts at the end of units or chapters; line-connecting is to arrange knowledge vertically; surface-forming is to systemize feeble line-to-line relations of knowledge to much broad range of knowledge, that is, to arrange knowledge horizontally; unity-composing is to use knowledge more flexibly on the basis of point-fixing, line-collecting and surface-composing, making students' mathematics cognition structures a network of organism. The teaching of the proposition or typical example can construct by opening topic terms and the conclusion or appropriate deformation. Can construct the example with typical significance through many kinds of solutions of the topic.Will construct the knowledge network from the aspect of method, is producing and improving the network system of knowledge constantly, these methods mainly have analogy and associate, move, adjusts and recombinates, among them adjust and recombinate the supreme form that is knowledge network construction of mathematics.During the process of constructing the knowledge network, should pay attention to the following items: globality of teaching, teaching with important concept and rule, the teacher's leading role, comprehensive using value of the knowledge network, train dispersing thinking ability of students.In teaching experiments, we used methods of pretest and post-test in the single group . After two terms of teaching experiments, we tested the students of the mathematics knowledge network, mathematics results and the abilities to solve the problems. The result reveals that the knowledge network of mathematics can promote the grasping and keeping of knowledge, and improve students' ability of solving a problem. This indicates that teaching measures of the article put forward help to improve and optimize the structure of students' mathematics knowledge network, it is the effective measure of promoting student's results to improve.