A Comparative Study On The Introduction Of The Concept Of Teaching High School Mathematics

Mathematics concept is a reflection of the nature of mathematical research object attributes, the foundation of mathematics knowledge, and the basic element of establishing mathematics knowledge. At the same time, it is the basis of the student mathematics problem analyzing, mathematics thinking, and mathematics problem solving.Mathematics Concept of teaching is difficult, and the introduction is the beginning of the mathematics concept teaching. Whether the introduction of appropriate or not direc-tly affects the concept understanding of the student.This paper mainly adopts literature analysis method and comparison method,and selects "the main concept" of the old People Education Press Edition in June2003(referred to as "the old textbook"),the People Education Press A Edition in January2007(referred to as " A edition textbook")and the Beijing Normal University Press (referred to as "bnu textbook")as the research object.From vertical and horizontal angles define a comparative study on the way of the concept introducing,material selection and definition, and thus get the following conclusion.Longitudinal comparison conclusion between old and new textbooks:(l)In the way of the concept introducing, the old textbook gives priority to direct definitions and living examples,and A edition textbook is mainly based on the perceptual materials.lt guide students to think by observing,setting the problem,exploration,analogizing,concluding,etc.Compared with old textbook,new book pays more attention to create scenarios and show the process of development of mathematical knowledge.(2)In terms of material selection, new and old versions’ materials are mainly living examples, the historical material, prior knowledge,image,form, analysis formula, etc.The differences between old and new textbook are:compared with the old version, A edition textbook puts more emphasis on the background of material material,the diversity of the forms and the substance of the material.(3)In terms of definition, there is little differences between the old and new version, and mainly reflecting in the subtle differences.Horizontal comparison conclusion between two version of the experimental textbook:(1)In the way of the concept introducing, Two versions mainly embodies the knowledge of the development process,and creates problem situation with the perceptual material and existing knowledge in common.For the "problem",A edition textbook focus on the concept generation process,.While bnu textbook pays more attention to mining the links between concepts,and turns the formalized mathematics into problems that contain concept nature, close to the student life, and are suitable for students to explore.In the aspect of content arrangement,bnu textbook sets up more knowledge on the matting for introducing concept.(2) In terms of material selection,this includes materials that the two version in experimental textbook selected mainly about what are the students interested in, what are closely related to the actual material,and the common phenomenon in real world instances or any other science.As the same time,the two textbook tried pioneering,diversity and typical in material selection.In addition,model of permeability also affects the selection of two edition.(3) In terms of definition, the main differences between the two versions displays in emphasis of the concept.In addition,bnu textbook defines the "Angle" for the type definition rather than descriptive definition, and it’s easier to understand for students; Reflecting "derivative" in "slope"is light spot.