Study On The Application Of Transformation Thought In Elementary School Mathematics Graphics And Geometry Teaching

Transformation thought is a common mathematical thought in primary school mathematics,which means that people in the face of mathematical problems,if the direct application of existing knowledge can not or is not easy to solve the problem,often will need to solve the problem of continuous transformation form,it is reduced to be able to solve or relatively easy to solve the problem,and finally to solve the original problem of a mathematical thought,it is one of the most basic and more applied mathematical ideas.The current research on transforming ideas focuses on concepts,principles and teaching,while the research on how to apply it in specific fields is relatively small,especially in elementary mathematics "graphics and several He " field of research is less,so how to apply the idea of transformation in the calculation of figure area,give full play to its own value,so as to solve the current teacher difficult to teach geometry,primary school students fear geometry phenomenon,this is a problem worth studying.This paper mainly adopts the case analysis method,through collecting the teaching case of a primary school mathematics teacher applying the transformation thought to solve the figurearea calculation,finds that the primary school mathematics teacher neglects the application of the transformation thought,mainly manifests in the heavy formula conclusion,the light transformation thought infiltration;the heavy question type training,the light transformation method summary and neglects deeply excavates the transformation thought essence.In view of these situation,the author thinks it is necessary to sort out the concrete application of the transformation thought in the field of "graphics and geometry" in primary school stage first,and then deeply analyze how to apply it.According to this idea,this paper combs the fifth and sixth grade about "graphics and geometry" In this field,the author divides these contents into three categories: unfamiliar graphics into familiar graphics,graph shapes into familiar graphics,complex graphics into simple graphics,and then finds out the specific transformation methods applied in each category:unfamiliar graphics into familiar graphics can be applied to spell pendulum method and rotation method;graph shapes into familiar graphics can be applied to cut complement method and translation method;Complex graphics can be transformed into simple graphics by equal division method and segmentation method.Different teaching suggestions are put forwardaccording to the objects applicable to each transformation method,which can provide reference and reference for the vast number of front-line mathematics teachers.Wielding the application value of the idea of transformation,students are no longer afraid of calculating the area of graphics.