Research On The Teaching Design Of Solid Geometry In Senior High School Based On “Four Based”

In order to study the specific connotation and teaching status of the "four bases" in senior high school cubic geometry,this paper uses questionnaires and interviews to understand the current situation of senior high school cubic geometry teaching and the implementation of the "four bases" in senior high school front-line teaching.Through the analysis of the questionnaire,we propose suggestions for the teaching of the "four bases" in three-dimensional geometry in high school,and on the basis of these suggestions,we propose a novel teaching design based on the determination theorem of the perpendicularity of lines and planes in space as an example to provide some ideas and inspiration for front-line teachers.The details are as follows.Firstly,we will analyse the "four bases" of three-dimensional geometry in high school under the guidance of the new textbook and the new curriculum: 1."Basic skills include visual perception,drawing,logical reasoning,metric calculation and mathematical expression.3.basic mathematical ideas include number and shape combination,axiomatization,functions and equations,classification and discussion,transformation and analogy.4.basic activity experience includes life experience,observation experience and practical experience.Secondly,the survey has revealed that the current situation of teaching and learning of high school stereometry is as follows: 1.Teachers recognise the importance of teaching the"four bases",but it is difficult to change the "didactic" teaching style and rarely design classes to achieve the last two "bases".2."Students can solve three-dimensional geometry problems,but they do not have a deeper understanding of the mathematical ideas involved and are less concerned with the accumulation of their own experiences in mathematical activities.Finally,on the basis of the previous study,we propose the following recommendations for teaching the "four bases" in senior secondary school: 1.build a system of mathematical knowledge to consolidate the basic knowledge of three-dimensional geometry;2.train basic mathematical skills to improve the ability to solve three-dimensional geometry problems;3.penetrate basic mathematical ideas to improve students' mathematical literacy;4.enhance interest and mathematical Experience and accumulate experience in basic activities of three-dimensional geometry.