Middle School Mathematics Teaching is closely connected with problem-solving teaching. Meanwhile, the problem solving is an important part in mathematics learning, whether students can get good grades in the college entrance examination sharply lies in whether they can master good problem-solving skills. Students are involved with "sea of endless exercise "every day. So I consider how to help them get a good problem-solving approach to ease their pressure.Based on the above thinking, this paper conduct theory research and practice exploration of Polya problem-solving model through document research, questionnaires, case tracking, interviews, as well as other research methods for Polya model’s theory and practice. First, the method of literature on the theory of teaching problem solving and problem-solving ideas Polya sort induction; Secondly, understand and find out the students’ actual problem through the questionnaire; acknowledge students’problem-solving habits and whether their problem-solving steps are in line with the Polya problem-solving model through interviews; Thirdly, put forward the mathematical problem solving ways based on Polya model and apply this model to the practical maths teaching in senior3.Finally, verify the results by tracking experiments of students of two different levels,. Conclusions of this paper is mainly reflected in:(1)the survey of senior3students’mathematics problem solving ability:students problem-solving situation is not optimistic, ranging from understanding the problem, developing conducting and reviewing the programs,which is not matched for Polya ’s problem-solving model.(2) put forward four stages of maths problem solving, according to the study of the Polya model,:(a) understand the problem accurately;(b) explore the methods of problem solving;(c) carry out the program;(d) review the problem solving procedure. (3) senior3maths problem teaching methods show:use four strategies on the basis of mathematical problem solving model in teaching (a) emphasize the and make the best of the definition;(b) teach students to guess boldly;(c) choose good mathematical thinking method and optimize problem-solving thinking process;(d) emphasize and grasp the review of good problem solving. Through the practice of a semester, I clearly find mathematics problem-solving model expand the students’ ability to solve problems and help them improve the maths scores.(4) case tracking shows:through the three stages of the experiment, let students clear up the wrong title collections by the mathematical model; find students’ disadvantages in the process of solving problems; carry out targeted guidance and training to help students to find a general problem-solving program:expand the students’problem-solving ability and achieve certain results. |