Research On Teaching Practice Of Analytic Geometry Based On Problem Solving

In order to meet the needs of the times and the development of students,and meet the requirements of the new era for students' core literacy,the new round of classroom teaching under the guidance of the concept of curriculum reform must deepen the reform,and strive to improve the ability of students to find and put forward problems,analyze and solve problems.The problem-solving teaching model is a problem-oriented teaching model,which focuses on improving students' problem-solving ability.It has research value and significance.Based on this paper,the author through the questionnaire survey of students and the interview record of teachers,to understand the current situation of analytic geometry learning of senior high school students and the problems in classroom teaching.On this basis,the author studies the theory of "problem solving" and traditional teaching mode,abandons the disadvantages of traditional classroom teaching,and puts forward a classroom teaching mode based on "problem solving".The teaching mode attaches great importance to the creation of classroom problem situations,focuses on the discovery and presentation of problems,takes "problem chain" as the starting point,guides and inspires students to carry out inquiry learning,cooperative learning and independent learning,and provides students with time and space to exchange and express views and ideas,which embodies the main position of students' learning.The teaching process of problem-solving-based classroom teaching mode is based on the development of students,highlighting problem-oriented,focusing on problem-solving,and focusing on ability trainingThe key of teaching practice based on problem solving lies in the practice of classroom teaching design.The practice of classroom teaching design based on problem-solving should be problem-oriented,highlighting the design of teaching problems;focusing on problem-solving,highlighting the design of the teaching process and learning process of problem-solving;reflecting the students' learning subject status,reflecting the cultivation of ability and quality.In the design of classroom teaching,we should follow the basic principles of development,acceptance,logic,procedure and simplicity.On this basis,it puts forward the teaching design strategies of "student dependence-teacher led",”student participation-teacher led","student autonomy-teacher heuristic","student autonomy-teacher consultation".In addition,it also provides teaching design practice cases of different types of courses,such as analytic geometry concept class,principle class and exercise class.In the classroom teaching process of analytic geometry based on problem solving,teachers can adopt the following teaching strategies to improve the teaching effect:(1)attach importance to problem situation,improve students' ability of problem finding and problem posing;(2)attach importance to problem orientation,improve students' ability of problem inquiry and problem analysis;(3)attach importance to the principle of problem strategy optimization,improve students' efficiency of problem solving;(4)attach importance to problems Change,problem expansion,improve students' mathematics innovative thinking;(5)pay attention to the mathematical activities of infiltration of mathematical thinking methods,improve students' mathematics core literacyIn order to verify the effectiveness and feasibility of the proposed teaching mode and teaching strategy,the author carried out a comparative experiment of education.In the experimental class,the analytic geometry classroom teaching mode and teaching strategy based on problem-solving were adopted,while in the control class,the traditional teaching mode was adopted,and the results of the pre-test and post test were compared and analyzed,and the conclusion was drawn:the experimental class based on the problem-solving teaching mode was adopted the result of mathematics test is better than that of the control class which adopts the traditional teaching mode.The analytic geometry classroom teaching mode and teaching strategy based on problem-solving play a certain role in promoting the development of students' mathematics learning ability and mathematics core literacy.