Research On The Teaching Strategy And Application Of Transformation Thought In Solid Geometry

As a bridge between mathematical knowledge and mathematical ability,the mathematical thinking method is the essence of mathematical disciplines,which not only plays a very important core role in the process of scientific theory research,but also is one of the more commonly used and universally effective research methods in the teaching of high school three-dimensional geometry courses.In the existing research on the combination of the method of reduction and transformation thinking and stereo geometry,there are sufficient research results in theory,but further discussion is still needed in practical teaching,so this paper combines normalization and transformation to carry out teaching strategy research on the basis of the preliminary teaching application of stereo geometry.First of all,this paper takes the reduction and transformation of thought method as a basic ideological method for studying the preliminary problems of three-dimensional geometry as the starting point and foothold,and classifies the application of transformation thought method in the teaching of three-dimensional geometry problem solving,which is embodied in the transformation of space and plane,the transformation of position relationship,the transformation of volume,and the transformation of positive and negative.Secondly,a questionnaire survey was conducted on teachers and students,and the results of the investigation and research showed that students did not pay enough attention to the ideas of normalization and transformation contained in the content of three-dimensional geometry,and could not skillfully use the ideas of transformation and transformation to learn the content of three-dimensional geometry by analogy,in the teaching process,teachers do not have a good grasp of the embodiment of three-dimensional geometry content in the curriculum standard,and do not apply the transformation of ideas well in the aspects of concept generation and knowledge consolidation.Finally,in order to better expand and improve the teaching and research of three-dimensional geometry practice,a teaching strategy was proposed:(1)study the curriculum standards,and grasp the overall grasp of the curriculum standards in the construction of the knowledge system;(2)based on the textbook,deeply analyze the thinking methods in concept generation;(3)update the concepts,understand the cognitive thinking methods in teaching activities;(4)optimize the teaching facilities,use information technology in the presentation of knowledge;(5)organize a variety of forms,so that students can explore hands-on exploration in the reinforcement concepts;(6)make it easy to make difficulties easy,and use the entry point of transformation to solve problems in the application;(7)actively guide,Cultivate good emotional attitudes and values.Combined with the analysis and reflection on the above aspects,the conclusions and prospects of this study are summarized.It is hoped that through this research,it can provide some references and references for the teaching of stereo geometry in high schools.