Case Study On Developing Mathematics Pedagogical Content Knowledge For Pre-Service Teacher

Mathematics pedagogical content knowledge is the primary condition of a mathematics teacher,Pedagogical content knowledge is the core of the knowledge structure of teachers.There is important practical significance to develop preservice teachers 'mathematics pedagogical content knowledge through a certain form.Mathematics pedagogical content knowledge(MPCK)is the integration of specific mathematics knowledge(MK),pedagogical knowledge(PK)and content knowledge(CK),and it is the core of teachers' knowledge.The author designs and traces 35 normal students' study on the cases of different forms in the same class of “monotonicity of functions”,so as to observe the role of lesson study on the pedagogical content knowledge of the normal students.It is explored with the development path of normal students from mathematics content knowledge to mathematics pedagogical content knowledge.Therefore,it would seek the key part of lesson study to boost the development of mathematics pedagogical content knowledge of normal students.Chapter five is the core content of the study.Firstly,there is the observation of the promoting role of lesson study on the mathematics pedagogical content knowledge of normal students:(1)in the aspect of mathematics knowledge(MK),normal students have a more precise acquisition of the textbook after the lesson study;(2)for the pedagogical knowledge(PK),they would design correspondent teaching strategies according to thinking characteristics;(3)in view of content knowledge,they could consider the possible difficulties of students from much more perspectives.Secondly,it is explored with the development path of normal students' pedagogical content knowledge by making concept diagram and class observation method,which means mathematics knowledge converses to mathematics pedagogical content knowledge with a process from understanding –representation – adaptation.Finally,through the diary analysis and reflection and questionnaire investigation,it is found that the key parts to boost the development of normal students ' pedagogical content knowledge are “ communication among classmates ”,“reflection of individual and team”,“comment and analysis of tutor” and “study of education and teaching theory”.Combined with the process and conclusion of the study,there are two improvement comments on the lesson study to develop normal students' mathematics pedagogical content knowledge: the comprehensive application of multiple knowledge should be viewed in the lesson study,and the teamwork should be advocated in the form.