Two Samples Of The Geometry Teaching In Middle School And Relevant Consider

Geometry is a branch and a kind of application of mathematics . it has abundant contents and ways, seeped into many modern mathematic thought, ways. It is beneficial to train students' image, logic, induce, really reason logically etc. various thought ability. But our current geometry books have no the modern mathematic contents in arrangement however, also have no the arrangement of the sphere geometry which have practice meaning. This paper chooses some simple knowledge in the transformation of surface figures and the concept of group, sphere geometry. According to 《Shanghai mathematics curriculum standard of the primary and middle school》, designed to melt them into the geometry teaching. The difference puts for these cases a buildup for of necessity with possibility, the way of teaching, method of evaluate launches the discussion.Chapter 1 puts forward to the research meaning and study method: the teaching function of geometry should be various, not only to know the sketch, but also to educate various thought abilities including logic. Some abroad materials have involved the knowledge of symmetry transformation, topology experiments. And there are some new material of sphere in the《curriculum standard》,too. Therefore, lead some modern mathematics thought and useful mathematics method into the middle school's geometry teaching is necessary and possible.A course is taught to the students of junior middle school. Study revolves and symmetry of surface sketch, compound symmetry transformation, the concept of group, revolve and symmetry transformation in line group.A course is the geometry of sphere. It is taught to the students of senior middle school. To know the sketch on the sphere, some simple calculation on sphere, using the projection to explain the theory of making map.So we can have an first step understanding of sphere, expand the students' geometry thought, solve the sphere distance problem.Chapter 4 is a principle for considering course design. Including the choice of teaching material, the teaching way and the judgment of the course.The appendix introduced a reading material of the first course and an analysis of 3 units of symmetry in the 《intuitionist geometry》...