Application Of APOS Theory In Mathematics Teaching In Primary School

The 21st century is an information age.China can stand in the forest of the world's nationalities.It needs education to provide excellent talents for the country.Mathematics as the core of basic education,its teaching quality has a great impact on the training of talents,and primary mathematics education is an important part of national basic education.Correct understanding of mathematical concepts is the prerequisite for children to master the basic knowledge of the concept of number and its operation,the concept of geometric shape,and the basis for improving children's computational ability,logical thinking ability and spatial concept.Therefore,strengthening the teaching of mathematical concepts is not only a problem that teachers need to study,but also an important link to improve the quality of teaching of mathematical concepts in primary schools.APOS theory attaches great importance to the generalization process of mathematical concepts.Early APOS theory was used in College Mathematics teaching.Dubinski successfully helped college students learn a series of related concepts of calculus,discrete mathematics,abstract algebra and other disciplines.Later,the theory was continuously used to guide the teaching of mathematical concepts in middle schools and achieved good results.The research on APOS theory and teaching of mathematical concepts in primary schools is on the increase,which shows that APOS theory is feasible and effective in guiding teaching of mathematical concepts in primary schools.This paper studies recognition of cuboid and cube with specific examples.It needs to adopt the methods of literature research,text analysis,questionnaire survey and case analysis to study the specific definition of related concepts,conscientiously study and comprehend the essence spirit of pedagogical psychology theory and APOS theory respectively.It also makes an analysis of students' pre-learning stage,based on APOS theory.To design teaching activities,according to the specific teaching practice and students' classroom generation and after-class development,it is concluded that APOS theory is effective to guide the design of primary school mathematics concept teaching,and thus to explore the general manifestation of APOS theory in primary school mathematics concept teaching.Before the teaching design,the paper studies and collates the relevant literature of APOS theory,teaching of mathematical concepts in primary schools and teaching design,summarizes the current situation of relevant research,provides theoretical support and inspiration for the application of APOS theory in teaching design of mathematical concepts in primary schools,and puts forward the ideas and methods of applying APOS theory to teaching design of mathematical concepts in primary schools.In addition,the author investigates the teaching contents and explanations of cuboids and cuboids in primary school mathematics textbooks,students' learning foundation and the effects after learning.Six classes in the fifth grade of the school are taught by the author himself.One to three classes use APOS theory to guide the teaching design.Four to six classes use traditional teaching design to teach.Observing students' classroom performance,classroom generation effect and after the completion of teaching,we can find that APOS theory guided concept teaching is also helpful to students' later development by means of conversation,testing and understanding the students' concept mastery in the experimental group and the control group.Through comparison,it is concluded that APOS theory is more effective in guiding the teaching of mathematical concepts in primary schools.Based on these studies,the methods and embodiment of applying APOS theory to the teaching design of mathematical concepts in primary schools are explored.