Based On The APOS Theory Analysis Function In The Teaching Of Primary And High Cohesion

Primary and secondary school mathematics teaching how to solve the problem of cohesion become an important research topic. Math problem is an important problem in mathematical education workers and students, students from junior high school, from every stage of the junior middle school to high school, in the process of learning, the lack of the continuity of learning and convergence process of a series of problems and shock, make learning performance contrast is very big, big influence on the students' learning and the psychological.How to exert the function of the continuity of the function of thought in mathematics learning and teaching, so as to make the junior middle school and high school this transition can have mutual relevance, the features of the students' mathematics study present spiral.The aim of this study is on the basis of the study of this a series of problems, and puts forward some feasible to primary and secondary school teachers' teaching advice, make the primary and secondary school mathematics teaching can effectively alleviate the problems arising from the cohesion. Solve the primary and middle school mathematics teachers did not understand the lecture content that should be mastered in the process of connecting to the problem of what demand, further enrich the connotation of the compulsory education mathematics curriculum structure, instill to function as the main line, to promote the teaching process optimization. The aim of this study is on the basis of the study of this a series of problems, and puts forward some feasible to primary and secondary school teachers' teaching advice, make the primary and secondary school mathematics teaching can effectively alleviate the problems arising from the cohesion. Solve the primary and middle school mathematics teachers did not understand the lecture content that should be mastered in the process of connecting to the problem of what demand, further enrich the connotation of the compulsory education mathematics curriculum structure, instill to function as the main line, to promote the teaching process optimization.This research mainly adopts the literature analysis, comparative law, investigation method, three kinds of research methods, the current problem of grade and higher mathematics study present situation investigation and teaching design research. The research is divided into three parts:The first part, through the analysis of the literature review stage of APOS theory analysis and applied research, analysis of cohesion in the high school mathematics education characteristic and the primary and secondary school teachers of mathematics teaching the importance of cohesion, and statistical solution, the student to the knowledge item master situation investigation, definition and analysis of function thought, main is to look for some mathematics educator thought to a function defined on the basis of the specific situation of the primary and secondary schools meet function thought, do a good job in the connection, of primary and secondary school mathematics exploring APOS theory in the development of the four stages of development and function of ideological line, through the comparative analysis the development of students' learning stage, combination, get effective ways and methods. Summarizes some related to the current research at home and abroad of cohesion study research results; In addition, through the comparative research of predecessors about the education of primary and secondary schools of cohesion of the paper, research progress and trends in the development of our country, and determine the research direction in this paper.The second part USES the questionnaire method and interview method to cohesion of primary and middle school mathematics education present situation investigation, through the questionnaire survey.The third part, on the basis of the results of the survey for primary and secondary school teachers of mathematics teaching to explore knowledge of cohesion, to improve teachers' teaching quality, improve teachers' teaching skills and improve the teacher's teaching way and efficient teaching has a positive effect, teachers based on the theory of function construct mathematical concept, guiding teaching and improving teachers' quality. For primary and middle school students' mathematics learning guidance, training students' independent construction of the balance of the old and new knowledge ability. Function thought understanding, for example, to understand the importance of teachers and students and understanding. Let students learn to learn mathematics, from the view of functions corresponding to the development to the idea of function and mathematics, to improve the learning efficiency;...