The Discussion Of APOS Theory In High School Mathematics In Probability Concepts Teaching

Mathematics teaching is about mathematical behavior education activities in production practice,it unified the educated as the main body of learning and to educators as the center of the teaching of the two aspects of mutual activities.In succession in the current curriculum teaching process,a lot of problems,educators began to consider from the Angle of based on students' study of the problems existing in the teaching,makes every effort to solve the excessive tended to exaggerate the necessity of skills training and exaggerated the bias of the inheritance of content knowledge.In the process of reform,educators began to advocate an exploratory approach to teaching,encouraging educators to actively participate in teaching activities,and to promote mutual exchanges and close cooperation among educators.APOS theory is a new theory based on mathematics curriculum and subject characteristics,which is a cognitive theory of constructivism.In mathematics study,this theory emphasizes the problem of the specific background and social significance,advocates the educates to carry on the various forms of mathematics learning activity,prompted by the educators on the basis of the previous learning and knowledge structure in refining and abstract concepts,and concludes the background significance and the mode of knowledge characteristics,finally construct a mathematical concept in mind.The basic concepts of the probability of high school section is more,in combination with the concept of "occurrence,development,application process,and found that the characteristics of its and APOS theory is very consistent,which means the APOS theory applied to the concept of probability teaching operable.The development trend of mathematical education indicates that the probability is more and more important in high school mathematics.APOS theory applied in teaching of the concept of probability can deepen.Students' understanding of probability knowledge,which can use to describe the probabilities and describe the real world,as a result,the APOS theory is applied into the teaching of the concept of probability also has profound practical significance.This article includes three aspects:the basic theory part,we mainly introduce and analyze the theory foundation,the characteristics of the model,the theory can be applied to the feasibility and necessity of probability in the high school mathematics teaching,and to apply the theory guide the teaching of probability of exploration;In the second part,we study the detailed teaching cases and empirical analysis of the probability knowledge points based on APOS theory;The last part summarizes the research results of this paper,puts forward some teaching Suggestions and thoughts,and puts forward some related topics in future research.This paper reflects on the teaching characteristics of traditional teaching and explores the effective teaching method of mathematical probability in high school.The innovation of this paper is to delve into the teaching of probability theory guided by APOS theory.