Comparison And Analysis Of The Spiral Ascending Contents Of Mathematics In Primary And Middle Schools

There are two common methods of textbook layout,which are linear and spiral.These two methods have been controversial in the layout of textbook content.Some people think that linear layout is more reasonable,but it does not take into account the students.The cognitive level at each stage is different;some people think that it is more reasonable to use the spiral method,but they do not take into account that some content does not need to be repeated multiple times,and although some content needs to be repeated,not only Only simple content repetition,but need to increase in the depth and breadth of knowledge.In order to avoid the first two extremes,think about what kind of content is suitable for linear,what kind of content is suitable for spiral,how to arrange textbooks To fully reflect the effects of these two layout methods,this is the direction we need to study.After the founding of New China,the spiral method has been widely used in the compilation of mathematics textbooks.By consulting the literature,we can find that almost no one has a complete view of the current The content in the textbook is arranged in a spiral ascending way to study,so this is also the reason for the topic selection in this article.A version,for example,a list of the contents of primary and secondary school mathematics choreographed by spiraling way,point out that these contents in a spiral which science section,what specific content of each spiral is presented?Compare whether the knowledge content in the spiral before and after the increase in depth and breadth,and analyze whether such arrangement is reasonable.The research results show that:(1)There are 14 spiral upward contents that are truly suitable for and embodying knowledge.They are long(rectangular)cuboid,sphere,long(positive)square,circle,trapezoid,translation,coordinate system,function,straight line,and round.Positional relationship,inequality,parabola,hyperbola,surface and exponential power.(2)The spiral ascending method should be used for arrangement,but the spiral ascent of the knowledge is not fully reflected in the arrangement process.There are 1 1 contents that need further modification,which are cylinder(cone),parallelogram,triangle,angle,vertical,Three views,sector,root,variance,distance and parallel.(3)The textbooks are arranged in a spiral ascending way,and there are actually 9 contents that need to be arranged in a straight line,which are axisymmetric graphics,rotation,collection,statistical charts,average,probability,median(major),simple Random sampling and proposition.Finally,according to the results of the study,corresponding suggestions are put forward,which may provide a direction for thinking about the future reform of mathematics teaching materials.