The Research And Dialysis Of The Mathematical Cerebration And Methods In Secondary-school Teaching

This paper which summarizes the regularly used basically mathematical methods in the teaching in the secondary-school teaching, then sorts them out and illustrates them. Also, it bases on the modern study theories, analyses and studies the secondary-school students'solving problems and the embodying of the basically mathematical methods in the classroom teaching.So far as today, there're too much theories on mathematical methods we have, and a mount of famous scholars and the people who works on mathematical teaching have made a great effort to deeply study it, however, few of them made a generally summarization. Especially in nowadays which the revolution of education is hot everywhere, and the permeating of the mathematical methods'importance cannot be ignorant, which needs to be solved urgently. For this reason, I gathered, analyzed and summed the conduct of the students in solving mathematical problems in my teaching. At the same time I also studied the reflection of the mathematical cerebration in their teaching. I tried to discover that when student's solving problems, the developing level of students adapt the dialysis of the mathematical cerebration and methods. Then I try to give some advices of my teaching on how to permeate the basic mathematical cerebration. If there's any mistake, I beg your pardon to point it out and correct it. There're five chapters totally in this paper, and the each main contents is al follows:Chapter 1, it introduces the mathematical methods, mathematical cerebration's implication and the association between them. To define that the mathematical methods and mathematical cerebration are permeated and confined with each other, and there's always no difference between them. Tojoin the two meaning together, the mathematical cerebration and methods was created.Chapter 2, it introduces the basic cerebration and methods of mathematics, listing the gradually used basic cerebration and methods in secondary-school teaching, and then sorts them out, by simply explaining the sample problems, to make the readers especially the worker including me understand the theory generally.Chapter 3, lists several teaching cases on solving mathematical problems, explaining the test and exams which the author did on the students'understanding circumstance of mathematical subject and study the characteristics of age, developing level of recognization and understanding, structure of the mathematical activities when the students are solving mathematical problems.Chapter 4, lists the teaching cases in teacher's teaching, combined the cases dissecting the teaching methods of mathematics and mathematical cerebration and methods in the point of view of psychology, then infers that to proceed the teaching of mathematical cerebration and methods is necessary. In the other hand, I compared and studied the association between the basic mathematical cerebration and methods and other mathematical knowledge, answer the questions that which mathematical cerebration and methods are more worthy to jut out. At last, infers a mode of the teaching in mathematical cerebration and methods.Chapter 5, explains emphasizly how to permeate the basic mathematical cerebration and methods into teaching. And it gives some suggestions to teachers on stressing the cerebration teaching in classroom teaching, explaining mathematical cerebration and methods actively, pointing out the principles and measures of enhancing mathematical cerebration and methods.In this paper, it used primarily the method of analyzing cases, and analyzedthe students behavior of solving problems, also, analyzing the behavior of teacher in teaching which is good or not for the developing of the students. By it, trying to research, it will be convenience of improving the teaching quality for my companies and me.