| Under the condition of maths teaching reformation and new subject reformation ,it has been widely paid attention to how to foster students′creative ability in maths are numerous. My opinion is: Fostering creative capacity in maths should be put into pratice,and must be aimed at reasonable inference capacity.The character of high abstraction in maths determine that in order to master maths truly,human beings must experience the process of occurrence and development of knowledge,that is to say the process of recreation in knowledge. Maths is the free creation in thoughts,and it determines the open quality of the maths system ,and it provides every student who is willing to give full play to his talent with the wide space .Maths is a kind of creative and imaginable thing in understanding, and it determines its profound probe,and it is the optimum method in fostering creative thoughts.Therefore in the sight of eighter maths understanding or developing thoughts, it should paid much attention to reasonable inference capacity . According to the students′knowledge standard , using reasonable inference method as medium, we should regard maths teaching as the process between teacher s′and students′.We should let students learn about the process and methods in maths occurrence, and learn how to think and how to study well.Induce, analog, specialty are the basic methods in reasonable reference .They are display like these :(1) In the direction of ordinary knowledge, picking up special circumstances, in the analysis of special cases , caring for the general training of thought ,especially seizing up the special series which could lead us into generalization . Observing many winners in maths competition solving problems, We could see them find the way in simplicity, then try and try , practise and practice . That is to find regulations and conduct surmise. (2) Because there are similarities between new problems and old problems and relations between unknown things and known things, we significant solution to deal with problems is to transform them . The problems waiting to be solved or are easy to solve, or some combination about these problems, that is the transformation. The point of transforming is to find the similarities between them, is to seize the real and regular relation between new and old problems. That is need to be analogized .Reasonable referce in mathes discovery has been detailed in many books, but how to foster students′reasonable reference capacity in maths teaching? This thesis discourse on these in details, and it means to apply reasonable reference to maths teaching, motivating the development of students′creation capacity and consciousness. This thesis firstly introduce the meaning of induce ,analog,association in reasonable reference and their application .Based on this , concerning how to foster students′reasonable reference, I discussed my opinion in three aspects ( Maths Concept Teaching, Maths Theorem Formula Teaching, Maths solution Teaching). I combine my own teaching practice with the theory ( the theory of maths thoughts, the theory of maths methods ,polya′s enlightening teaching ) to form the teaching thoughts suitable for myself . After a period of teaching tests, this style of teaching is popular with students . They reflect this way of teaching isn′t rough and it can motivate their interests in studying, and it can promote the capacity of maths understanding and solving questions separately .Moreover, the development of researching study has been the stage of fostering students′reasonable reference, and it has let them breack the limitation in classes, possessing openness and universality. |
PDF Full Text Request