Why to study the methods of mathematics problems solving? What kind of value and meaning do the methods of problems solving have in mathematics teaching? How do we nowadays manage mathematics teaching? This thesis is mainly a discussion that is carried on these questions.The thesis has reviewed the impact of the problems on the development of China's ancient and modern mathematics and the important function as well as the different requirements about the methods of problems solving between the Sino-America textbooks. The paper looks for the valuable research clue from it, then, along this clue, puts forward the new recognition of the problems solving and mathematics teaching, and further explains and analyzes the new recognition through the cases. At last the thesis proposes the new imagination to the future of this theme. The full text is arranged specifically as follows:First, the paper studies the background of the problems rising. This part aims to carry on a relatively intact analysis on the background of studying. From the development of mathematics history and the importance and requirements of the education study as well as the problems exiting in the mathematics study and mathematics practice in our country, this paper analyzes the background of study and establishes the meaning of studying the theme. In mathematics education, it has become a kind of quality that ordinary people and different employees all need to possess that we train students to appraise the value of mathematics, good at putting forward the question, analyzing the question and solving the problem.And then the thesis focuses sight on the basic understanding and the ways of problems solving from the definition of the question, define, classification, mathematics thinking and mathematics teaching. The paper pays close attention to the analysis of the problem type, the course and the ability of problem solving. Meanwhile, the paper focuses on the course and the law of problems solving in order to make students know how to solve problems and offer certain reference for students. The author advocates that we should strengthen the pertinence of teaching, hoping to help students to grasp skill, method, and tactics to solve mathematics problems through teaching practice. And its main method is about the mathematics problem solving.The third part of the thesis is about the methods and procedures of implementing course of problems solving. The paper proposes the approaches and steps of problems solving, which are to guide the concept, move forward actively and reliably, regard information technology as the platform to set up the introspective review the monitoring system, establish the vivid problem situation, cultivate students thinking ability through practice and look for the open answers. The fourth part makes an investigation about the problems solving among the students. The author advocates to take measures after getting the results.The fifth part presents the concrete cases in the implementation of the methods of problems solving in the classroom instruction of mathematics. This thesis pays close attention to the implementation of the teaching idea in themathematics teaching practice. In actual fact, the paper has carried on the discussion in various degrees about the mathematics study, mathematics teaching and mathematics course in order to further stress the research theme of this thesis.In the end the paper makes a brief retrospect on full text. The paper has looked into the distance to the future of teaching of mathematics based on the methods of problems solving. It points out the weak point and shows the author's research view and attitude. |