Heuristic Mathematical Teaching And Research

Heuristic teaching originates from ancient eastern and western civilization with a long history of inheritance, development and innovation. Its thought has been gradually enriched and improved owe to scholars'successive studies. Nowadays with the popularity of education for all-round development, heuristic teaching as treasure of traditional teaching thought, can be used effectively and has more advantages. What's more, it has got more attention, support, research and innovation to make it systemic and structural.Heuristic teaching based on the characteristics of the subject of math, has commonness of heuristic teaching and its own characteristics. But at present people have little research on it. The thesis aims to give theoretical build, improve teaching quality, develop students'ability, promote students'physical and mental development, especially their own consideration, independent study and innovative ability according to theoretical study of heuristic teaching for math.On the basis of inheriting and respecting heuristic teaching achievements, first, the thesis gives a fore and aft summarization about the history of heuristic teaching. Second, the thesis does research on connotation and characteristics of heuristic teaching and compares heuristic teaching with spoon-fed teaching. Moreover, it gives several misleading due to lack of all-round consideration. Then it states connotation, main characteristics and theory basis of heuristic teaching according to characteristics of math subject and learning. Finally, the article states several basic requirements, strategies and ways to direct teaching practice.The article contains four parts.Part I:It deals with the reason and background of choosing the thesis, the significance, a brief summary of the already existing research and main problems to be solved.Part II:It analyses the connotation and features of general heuristic teaching and compares heuristic teaching with spoon-fed teaching and puts forward their focus on opinions about students and teachers, teaching aims, teaching procedure and teaching method.Part III:It mainly introduces the knowledge on heuristic math teaching. According to the characteristics of the subject of math and learning, it explores connotation of heuristic teaching and states several characteristics:stimulation of teaching scene, the building of math learning, the structurization of mathematics knowledge and the process of mathematics teaching and also discusses its theory basis from philosophy, the theory of teaching, psychology and the theory of communication. Part IV:For the sake of leading teaching practice and exerting the action of heuristic math teaching, it puts forward four basic requirements, five strategies and some heuristic ways such as scene teaching.