The Teaching And Research Of Junior Middle School Rational Calculation Based On APOS Theory

Along with the social progress and economic development, the amount of knowledgehave achieved unprecedented development and improve no matter in quantity or in quality.The time for mathematics is reducing while knowledge points are more and more in juniormiddle school, that’s why the teachers need be much more efficient to complete theteaching task in the limited class. In order to solve this problem, the education workers ofour country have done a lot of research on how to convert theory into instructional design,such as Fan Xier theory、ACT-R theory and so on. The teachers tried to use theseresearches in class teaching to improve teaching efficiency. Along with the appearance ofAPOS theory, especially after the author’s elaborate introduction, domestic teachers start tolearn APOS theory, especially on mathematics. At present the theory mainly used inuniversity stage, the advanced mathematics teaching, but less involved in primary andsecondary schools.This thesis will combine the APOS theory with junior middle school mathematics toguide the teachers find the best way on teaching.There are five parts in this thesis, as following:The first part mainly introduces the background、value of research、theory significanceof this project, and make a brief introduction of content and research method.The second part introduces the rational number and rational number operations andother related conceptsThe third part introduces the related research of the rational operation and APOStheory both domestic and abroad.The fourth part discusses the importance of rational number operation and feasibilityanalysis of APOS theory. Including rational number operation status in the teachingmaterial, the significance of rational number operation to the development of students,curriculum standard requirement for rational operation and teaching material content arrangement, and at the same time points out the difficulty the students encountered inrational number operation, and correct some wrong definition.The fifth part detailed the teaching flow of rational number operation under theguidance of APOS theory and the matters need attention,then list two teaching cases baseon APOS theory.The last section is the postscript of this article which shows innovation, deficiency andcontinuous improvement parts in future.