The Mathematical Fundamental Activity Experience Related To Solid Geometry

In discussion of the goal of high school mathematics curriculum,the book“Curriculum Standards(2017)"requires that students would be equipped with "basic mathematics knowledge","basic skills","basic thinking","basic experience for activity",and have their capabilities of"finding and raising questions from the mathematical perspective","analyzing and solving problems"improved through high school mathematics curriculum study in order for their further learning and future development in this realm.Although "mathematics basic experience for activities"is relatively a new terminology,there has been quite a few theories for teaching which renders many instructional suggestions,however,it lacks proper practice and research.The first part of this research gave a simple description about solid geometry,and whose research range of its "mathematics basic experience for activities",as well as borders of the relevant concepts.The second part incorporated the teaching content of solid geometry from the book"Curriculum 2".Starting from analysis of the instruction book,this part shows the practical examples that had focused on"mathematics basic experience for activities",as well as it provides a detailed analysis concerning the magnitude and process of acquiring "mathematics basic experience for activities".The third part concluded from the book"Curriculum 2"six points of"mathematics basic experience for activities"that teachers should equip students with through teaching solid geometry contents,which includes:gaining the experience of "solid revolution maintains parallel and perpendicular"through learing and handling solid revolution models,obtaining the experience of"analyzing Orthographic projection"from activities such as drawing space geometry three-view diagram,restoring intuitive diagram from three-view diagram,gaining the experience of"finding parallel relationship between lines through forming special plane graphics"through activities of proving spatial parallel relationships,gaining experience of "exchange among three types of perpendicular relationships based on perpendicularity between lines and planes"through activities of proving spatial perpendicular relationships,acquiring the experience of"transformation of a solid geometry problem into a plane geometry problem”from calculations relevant to spatial solid geometry.