| In 2011,China promulgated the mathematics curriculum standard of compulsory education,comprehensively promoting the curriculum reform of nine-year compulsory education.Although the new curriculum reform has been carried out for more than ten years and achieved some results,there are still formal and inefficient phenomena in the actual teaching of the curriculum reform.However,under the new curriculum standard of advocating students’ autonomy and paying attention to inquiry,the practice of neglecting process,emphasizing results and application has been changed,and many examples related to daily life have been added,which makes mathematics life-oriented,so classroom teaching should pay more attention to the inquiry and acquisition of students’ knowledge.It is self-evident that instructional design plays an important role in improving the quality of classroom teaching,but the investigation found that there were still various problems in instructional design of some junior high school mathematics teachers,and why?Does it need to be studied based on a relatively perfect theory?After repeated comparison and thinking,it is worth trying to study teaching design by using MPCK theory.Through sorting out the existing research literature,it is found that the core element of MPCK is still teachers’ professional knowledge,so under the MPCK theory,how can teachers conduct classroom design more scientifically according to different students according to the materials in the teaching materials?Taking the section " the sum of the inner angles of polygons"on the first volume of the eighth grade of the people’s education edition as an example,the textbook only specifically divides pentagons and hexagons into three and four triangles respectively,and does not well explain(belonging to positive integers)that the pentagons are specifically transformed into several triangles.And there is only one way to deduce the inner angles and formulas of polygons =(n-2)×180°,which mathematical thoughts and methods does it contain?What problems will exist in teachers’ teaching design?How to help teachers improve and perfect their MPCK?This is a question that we should ask deeply.Based on MPCK theory,this study carried out related research according to the materials of teaching materials.Firstly,the existing theories of MPCK and instructional design are analyzed,summarized and sorted out.Secondly,MPCK is determined as the organic integration of eleven project knowledge in MK,PK,CK and tk four dimensions.Then analyze MPCK under the teaching design of " the sum of inner angles of polygons".Then through the comparison and analysis of teacher a and teacher’s teaching design,class memoir and interview record about this class,MK,PK,CK and TK are analyzed,and the main problems existing in their teaching design are summarized.Then,we conduct a questionnaire survey on the teachers attending the class,summarize the main problems existing in their teaching design,and explore the factors influencing teachers’ MPCK transformation teaching design from the questionnaire.Aiming at the existing problems and influencing factors,some further suggestions are put forward.Finally,it reflects and lacks the research content. |
