Teaching Research On High School Mathematics Solid Geometry Theorem Based On Intuitive Imagination

Under the background of the new era of "Internet +" leading the development of wisdom education.Intuitive imagination as one of the six core mathematical competencies.It is proposed by the "Standards for Senior High School Mathematics Curriculum(2017)".It puts the training of students’ thinking and the cultivation of students’ mathematical literacy in a prominent position.Therefore,intuitive imagination has received widespread attention and research from scholars.I am going to study in the teaching of solid geometry theorem,through the connection between intuitive imagination and high school mathematics stereo geometry theorem.Simultaneously,I will propose a method for the teaching of solid geometry theorem,based on the connotation and performance of intuitive imagination.Then,with the help of teaching cases to support the development of teaching methods,I hope it can provide reference for high school mathematics teaching.The thesis uses literature research method,theoretical analysis method and case analysis method to study the theory of intuitive imagination,the content of three-dimensional geometric theorem teaching,the connection between intuitive imagination and three-dimensional geometric content,and the teaching method based on intuitive imagination.And try to support the development of high school mathematics solid geometry theorem teaching through the design and analysis of teaching cases.First of all,In order to understand the connotation,performance,horizontal division,and content selection of the intuitive imagination,I collect,organize and analyze the data.By comparing the "Standards for Senior High School Mathematics Curriculum(2017)",I elaborated on the concept of "seeing the shape and change of objective things with the help of geometric and visual imagination",emphasizing the connection between geometric and spatial imagination.In addition,I analyzed the overall layout,teaching characteristics and teaching principles of high school mathematics solid geometry theorem,and explored the connection between intuitive imagination and solid geometry,which is used as the theoretical basis of this thesis.Secondly,based on the theoretical basis of this paper,I propose four ways to teach the three-dimensional geometric theorem of high school mathematics based on intuitive imagination.First,the use of graphics to understand the transformation process of the object of teaching research;Second,the use of graphical description,analysis of mathematical objects teaching research;Third,the use of digital combination analysis of mathematical objects teaching research;Fourth,the use of graphics to construct an intuitive model of teaching research.Finally,I designed the teaching case based on the four approaches of the high school mathematics solid geometry theorem under the intuitive imagination and detailed analysis is how to integrate with the specific teaching methods in the "design intent" of each part of the teaching and the end of the teaching case.