Investigation On The Current Situation Of Infiltration Analogy In High School Mathematics Teaching ——Take Urumqi As An Example

There are many mathematical ideas in mathematics,among which analogy is a very important mathematical thought.After introducing analogical reasoning as a way of reasonable reasoning into high school mathematics in the new curriculum standard,there are many problems in the teaching of analogy thought that we should think about and study.After reading through a lot of materials and literature,I found that the infiltration investigation of analogy thought in Urumqi region is basically not,so this paper on the basis of previous research,mainly comb and analyze the knowledge points of the A version of high school mathematics teaching materials that can penetrate analogy thought,investigate the current situation of high school mathematics teachers in Urumqi region in mathematics teaching penetration analogy thought,investigate the status quo of high school students learning and master analogy thought in Urumqi region,and finally draw conclusions according to the data,give suggestions.On the basis of reading a lot of literature,this current situation survey first uses the literature review method,combs the relevant concepts of analogy,and summarizes the current situation of research on analogy thought at home and abroad.My questionnaire survey way and interview way were used to investigate high school students and mathematics teachers in Xinjiang Urumqi.There are:(1)the teacher in the classroom teaching process penetration of analogy of the current situation of the investigation.(2)A survey of the frequency of teachers' penetration at knowledge points that can penetrate analogy ideas.(3)A survey of the current situation of students' learning analogy ideas.(4)A test of students' grasp of analogy.Through investigation and analysis,the following conclusions are obtained:(1)there are 12 knowledge points in the A version of high school mathematics teaching materials that can penetrate analogy ideas,and the teaching materials do not systematically give analogy knowledge and analogy in addition to the new and old knowledge analogy in the introduction part of the chapter.(2)Teachers in the process of mathematics teaching conscious penetration analogy,but there is no systematic,lack of systematic learning.(3)High school students still have some difficulty in learning analogy thought,through investigation and testing found that the difficulty of students learning analogy thought lies in not knowing how to compare,how to prove after analogy.