Comparison Of High School Mathematics Expert And Novice Teachers’ Teaching Representation

Mathematics teaching representation reflects the teacher’s discipline knowledge, the students knowledge, curriculum knowledge and teaching idea, is the core content of teacher subject teaching knowledge, affects the teacher’s mathematics teaching behavior, the quality of the mathematics classroom teaching, and plays an important role on teachers’ professional growth. In addition, research on mathematics teaching characterization as well as the realistic requirement of mathematics curriculum reform."Characterized by teaching as a starting point, this study discusses how to realize the effective teaching of high school mathematics teachers, to promote the mathematics teachers’ professional development?" As the core problem.In the study of a large amount of property, the teaching theory, constructivism theory, subject teaching knowledge (PCK) and so on, on the basis of the literature to explore the connotation of mathematics teaching characterization, and build the mathematics teachers’ teaching ability evaluation model.In the study of a large amount of property, the teaching theory, constructivism theory, subject teaching knowledge (PCK) and so on, on the basis of the literature to explore the connotation of mathematics teaching characterization, and build the mathematics teachers’ teaching ability evaluation model.Research conclusions:(1) Expert and novice teachers in teaching characterization of breadth, depth, section lines and flexible differences in four dimensions.(2) Expert teachers’ teaching characterization has the following characteristics:good, for example, is good at asking questions, properly handle the relationship between diversification and optimization.(3) Affect the high school mathematics teachers’ teaching characterization of three aspects:teacher’s mathematics teaching experience; Teachers’ teaching beliefs; Teachers’ mastery of mathematical knowledge.(4) Teaching reflection to the high school mathematics teachers teaching characterization of the significance of gradually formed and perfected.Research proposal:(1) The teacher wants to set up the correct mathematics teaching belief, the correct mathematics teaching beliefs reflected in mathematical rigor, verifiable.(2) Teachers in the teaching process to go through the books and in communication with colleagues, students’ learning, enrich himself.(3) Teacher should pay attention to reflect in the work, pay attention to the subject knowledge and students’ thinking and psychological knowledge, teaching methods, students’ development of reflection, signs of mathematics teaching to improve themselves.