Mathematics Instruction Design Guided by Efficient Mathematics Teaching

Compared with inefficient teaching,efficient mathematics teaching has the characteristics of science,wisdom,and artistry.The Function concept is the main thread of the entire high school mathematics courses.Classroom teaching of function concept,determine the actual situation in the identification variables and inferred dependencies between two variables as starting point of classroom teaching goals;Judgment role in the characterization of function concept and introduces symbols f for the goals;building function of general concepts,access to y=f(x) for the end goal of classroom teaching.Construction of knowledge as the carrier,guiding students autonomy summarizing ability of Mathematic concepts as the main line of classroom teaching pattern,improve the quality of implementation of capacity-building and the objectives of the standards.Summarizing ability and other abilities support each other which should be combined as an entirety during the fostering.During understanding and applying the concepts,more attention should be spent on summarizing the regulations of solving problems,And this is promising to be developed to the main task of students' studying.