A Case Study Of The Concept Teaching Of Mathematical Function In Senior High School Based On PBL

The concept of function is one of the most important concepts in high school,and the idea of function is widely used in high school mathematics.By consulting a large number of literature,it is found that many teachers focus on the teaching of the concept of function in the aspects of thinking methods,concept application and problem-solving skills,which are mainly explained by teachers and mainly answered by students,and the students lack of problem consciousness in the process of learning,the lack of active interest in inquiry learning is not conducive to the formation of innovative thinking and the ability to find and solve problems.Since the reform of the curriculum more than ten years ago,inquiry teaching method has played an important role in improving students' learning initiative and developing their mathematical literacy,exploring a problem to be solved in mathematics classroom teaching has become one of the important ways for teachers to guide students to participate in the process of activities and promote students to discover and applied mathematics ideas.Problem-based Learning is more in line with the people-oriented teaching concept advocated in the new curriculum reform.It is a Learning method that takes students as the main body and enables students to seek solutions around problems,it has greatly improved students' initiative in learning.Therefore,exploring the classroom teaching of function concept based on PBL is helpful to optimize the teaching design of teachers and cultivate students' innovative ability.This paper uses the method of literature analysis,through the theory of Constructivism,the theory of the zone of recent development,the theory of pragmatism in education,the theory of Problem Teaching Related Literature,combining with the principles of PBL teaching,we carry out pre-analysis,problem design,problem solving,and result evaluation in four stages of teaching analysis in the design of classroom teaching,based on the model,this paper constructs a teaching case of function concept based on PBL and carries on the teaching practice,combining the method of questionnaire and interview to investigate and analyze the effect of after-school learning,the final conclusion is reached and summarized and reflected.It is found that PBL based functional concept teaching should pay attention to the following issues: teachers should create rich problem situations according to students' learning situation,and teachers as "guides" should pay attention to the whole process of group learning,problems that teachers should pay attention to under PBL,such as how to transform knowledge-based goals,problem-solving-based goals and literacy-based goals into strategies for classroom problems,helping students to understand the concept of function,attaching importance to the consolidation and variation of function knowledge,develop students' ability to analyze and solve problems.