Investigation Status On Pedagogical Content Knowledge Of Plane Analytical Geometry For Prospective Teachers

The new curriculum reform has launched a challenge to the professional development of teachers.However,the core of the professional development of teachers is the Pedagogical Content Knowledge(PCK).In view of the fact that PCK test content seldom pays attention to high school specific topics and the teaching purpose and practice of high school plane analytic geometry are biased,this research set out to develop a test tool for plane analytical geometry PCK.The test tool is used to measure the current situation of prospective teachers and make corresponding suggestions to improve teacher prospective education.First of all,this research has found the consensus reached by researchers on the connotation of PCK through literature research,and defined PCK under Schulman's theory.Secondly,a test tool for plane analytical geometry PCK is developed,and the developed test tool is used to test the current situation of mathematics pre-service teachers.Among them,the subjects of the survey were 88 graduate students majoring in mathematics or mathematics education from a normal university.Finally,quantitative and qualitative analysis of the collected data.With the help of qualitative methods,we analyze the responses of prospective teachers one by one.With the help of statistical methods,the basic situation of prospective teachers is analyzed from the average level,distribution difference and relationship analysis,and the following conclusions are obtained.(1)Prospective mathematics teachers can use teaching knowledge appropriately,but they lack in-depth thinking about the knowledge of plane analytical geometry.(2)The average level of plane analytical geometry PCK of prospective mathematics teacher is not ideal,and the average level of PCK on different topics is also inferior.The average level of circle PCK is the highest,followed by straight line PCK,and the average level of conic PCK is the worst.(3)There are no significant differences in gender and grade between prospective mathematics teachers' plane analytic geometry PCK and different topic PCK,but there are complex significant differences in school performance.In plane analytical geometry PCK and conic PCK,only the group with poor school performance is significantly different from other groups.On the straight line PCK,there are significant differences between the poor group and the excellent group as well as the poor group and the good group.At the same time,there is a significant difference between the group with good school performance and the group with middle school performance.On the round PCK,the difference between the poor group and the good group is significant.In addition,although there are some differences among other groups,the difference is not significant.(4)Compared with PCK literacy,the subject literacy of prospective mathematics teacher is lower.(5)The relationship between PCK and subject knowledge is not a simple linear relationship,but subject knowledge can explain PCK to a large extent.The innovation of this research lies in the fact that the PCK test tool developed for plane analytical geometry has good reliability and validity,and has strong operability.It can be used not only for teachers' self-evaluation,but also for other topics.