The Cultivation Of The Concept Of Transformation And Conclusion In The Mathematics-problem-solving Teaching In Senior High School

In recent decades of years, people's concept about mathematics and its teaching has revolutionarily changed. With the vigorous growing of mathematics science and the appearing of modern teaching theory. People no longer regard mathematics as a kind of rigid science, but as a creative activity which is nowadays experiencing great changes; People no longer think of maths-teaching as a course of inculcating students with knowledge according to the mode of " Theory-Example-Exercise" but as a student-based activity of "creatively rediscovering maths knowledge." The change of the idea caused people mainly to focus on the exploration of maths discovery, invention and its creative rules, which also led to the intense popular interest in researching into maths methodology and solution to maths problems since the 1980s. This article tends to explore how to cultivate students the concept of transformation and conclusion through doing experiment research.Chapter I presents the current situation of the research into maths problem-solving at home and abroad. I cite several works with great influence at home and abroad, including How to Solve It,Mathematics Discovery,by polya, Contest Mathematics Lecture,by Chen Chuanli, The Teaching Materials About The law of Synthetical Solution To Middle-School Maths Problems, by Prof.Tang Yirong and so on. Then follows the presentation of some related research in the teaching of the solution to maths problems in a statistical way.Chapter II introduces maths thoughts and maths teaching of its problem-solving and what maths teaching of problem-solving is. In this chapter, there are various knowledge of maths and some new teaching methods at present. This part chiefly states the definition of the thinking of transformation and conclusion and the reasons why it should be researched into.Chapter III expounds those theoretical bases of the cultivation of...