Mathematical Concept Presented Research On The Textbook Form

Since the mid-20th century, mathematical knowledge has become the focus of education on one of the mathematical knowledge as a modern society, citizens’ basic knowledge of our country has been incorporated into the basic concept of full-time compulsory education of the math courses standards of the draft (2001) and the general high school math standards of the draft (2004). The mathematics curriculum standards of the students must be mentioned in the high quality, however, about how to train students in schools teaching maths lessons; the new approach promulgated and implemented the basic connotation of the mathematical knowledge? How to improve the train of school mathematical knowledge? How should we emphasize the activities of experience accumulated in mathematics and mathematical thought in the junior high school maths textbook? In the textbooks, how to better present inductive thinking? Is there a core concept of how the courses——the textbook carrier? What is the use of materials is helpful? The problem is to illustrate just a series of deep thorough analysis and explore.In this article, mathematical concepts, for example, to improve students’ mathematical induction, the basic qualities of abstract mathematics as one of the core objectives, to explore mathematical concepts in middle school mathematics textbooks in the present law.Using literature analysis,this paper analyse domestic and foreign students’study basic mathematics knowledgestatus, combined with the "Mathematics Curriculum Standards" (revised) from the "four basics" (ie, basic knowledge, basic skills, the basic idea, the basic activities experience) point of view, put forward in the school education and teaching of mathematics knowledgein the basic content; then used content analysis, comparative analysis, questionnaires, interviews, analysing domestic and different versions of the junior high school mathematics textbooks, textbooks, and sum up the current textbooks pointing to basic mathematical knowledge for students and training teachers to improve the level of understanding and analysis, basic math help students improve math knowledge training and basic characteristics of textbooks; Finally, select the typical concept of the "parallel" " equation " from junior high school mathematics textbooks, and for case design, the design of textbooks for students and teachers agree that the text of the investigation, based on student summarized the basic concept of mathematical knowledge training textbook presents the basic characteristics, and made a number of implementation recommendations.Studies have shown that:I For the Northeast region 357 junior high school mathematics teachers textbook on mathematical concepts presented in survey:the teacher for the presentation of three versions of the concept of recognition of degrees, respectively 67.2%of the HSB Version, 55% of the version BSB,67.5% of the RJB version,which are good degree, and way of introduction by subject, focusing on the BSB version of reality only 55% degree of recognition, the problem has focused on "the concept of showing the practical problems are too complicated", etc.; and for textbooks on mathematical thinking recognition rate of penetration is low, only 53.2%,60%,63.35%, concentrated expression of the problem as "textbook for mathematical way of thinking has no clear statement and penetration is not sufficient."â…¡In junior high school mathematics teaching, to improve students’ induction, abstraction and other basic mathematicalknowledge, the implementation of enlightened wisdom of education must be in the mathematics textbooks and in the classroom teaching, effective use of mathematical concepts, theorems formula rules, problem solving and other learning opportunities for students to provide a mathematical abstraction, inductive reasoning, conjecture verification, prediction dominance of the process to achieve mathematical way of thinking, learning and learning mathematics knowledge and skills of both effects.1.As for students, students of mathematical literacy, including basic knowledge basic skills, basic experiences of math activities, several aspects of mathematical thinking, which make integration of "four bases", mutual coordination and promotion, interdependence, interaction.Basic mathematical knowledge, including the mathematical abstractions literacy, mathematical induction on the basic knowledge and mathematical reasoning about basic literacy, which the core component is:induction, deduction, abstraction, modeling experience and the formation of basic capabilities.2.Presenting the concept of textbooks must follow three basic stages of mathematical abstraction, "simple stage, symbol phase, universal stage", the induction of several abstraction levels of dominance. Using the following basic steps, namely, the physical dimensions of the levelâ†'semi-symbol abstractâ†'symbol abstractâ†'formal symbolic level of abstraction level, to help students accumulate direct experience mathematics activities (especially emotional experience and the logic of experience), training mathematical and intuitive to enhance students’ mathematical knowledge, and among the specific course content includes students observe, think, judge and other rich opportunities and their corresponding activities by themselves.3.In mathematics textbooks, presenting mathematical concepts to be concerned about the "mathematical reality" and "internal laws of mathematics" and "the reality of mathematical content", and one of the "internal laws of mathematics" of the core and crucial point are inductive reasoning and deductive reasoning, which is internal to the development of critical mathematics. As for mathematical concepts, the "reality of mathematical content" specific performance "class of mathematical concepts."â…¢In teaching, for some of the concepts of teaching, teachers can use the inductive method of classroom teaching, especially for the concept of abstraction, must allow students to gain understanding of the master, and then grasp the nature of mathematical concepts.As the core concept of "parallel" and " equations in one "for example, the textbook presents a new approach for unit design and the survey of teachers and students’agreement, in accordance with the physical dimensions of the levelâ†'semi-symbol abstractâ†'symbol abstractâ†'formal symbolic level of abstraction level of link present mathematical concepts, junior high school teachers and students can be generally accepted, acceptance of 67%. This presentation can well reflect the process of abstract mathematical concepts, not only can enhance the students understanding of mathematical concepts to grasp, but also get knowledge at the same time, so that students summarize the influence of thinking and abstract thinking. But, its concerns that "the creation of the situation so vivid that impacting on the students’ attention."IVTo improve students knowledge in mathematics induction, abstraction of the basic literacy, we must integrate them.We not only need to improve the concept of junior high school mathematics textbook presentation method, to protect the basic concepts of mathematics in the of basic knowledge, related basic skills at the same time, let middle school students through a process of induction, abstraction of the experience, thus effectively improve the students about the induction, generalization basic literacy; but aslo the middle school mathematics teachers must change their ideas, to form a correct mathematical concept, the concept of teaching and classroom teaching concept, a comprehensive program to improve middle school mathematics teachers in literacy, basic mathematics teaching ability, in order to facilitate better integration of the external concept into teaching behavior which can be accepted by students, and transform the form of mathematical concepts into teaching behavior, and then learned by students.