Research On The Teaching Design Of "Circle Understanding" In Primary Mathematics

Circle understanding plays an important role in learning the graphics plane, it can help students to develop the concept of space, enhance abstract thinking. APOS theory attracted widespread attention in Mathematics Teaching, is a kind of constructivist theory for mathematics concept learning, pointed out that students would undergo four stages of psychological construction, the Action,Process,Object,Schema, the theory. This article with the "circle of understanding" as the practice of the point, bases on the realistic problems of the concept of teaching, to explore the general design of the APOS theory under the guidance of the concept of primary school mathematics teaching methods and ideas, to research instructional design. This paper mainly divides into four parts:Firstly, sort out a comprehensive analysis and study to APOS theory through literature, the concept of teaching as well as the relevant literature Primary Mathematics Teaching design, summarized the present situation of mathematics teaching research, and found that APOS is the theory of mathematics learning characteristics, provides a model for mathematics teaching.Secondly, there is a preliminary analysis and research before the study of the "circle understanding" teaching design based on APOS theory, including learning needs analysis, learner analysis, teaching content analysis, expounds the feasibility of APOS theory applied in the circle teaching.Thirdly, the study of the "circle understanding" teaching design based on APOS theory divided into specific teaching objectives, content, process, and evaluation design. The theory under the guidance of the teaching stages of the design methods and steps to explore.Finally, reflect the study of the "circle understanding" teaching design based on APOS theory, and explore the APOS theory into the new concept of teaching methods.