The Researchs Of Mathmactial Thought On Teaching And Examination

Mathematics thinking method is the essence of mathematical knowledge, the essential understanding of mathematics, a guiding ideology and universally valid strategy of mathematics learning. In the mathematics teaching and college entrance examination, those mathematical thinking methods that have been generally concerned and emphasized are listed as following:the thinking of function and equation, the thinking of combination of number and picture, the thinking of classification and integration, the thought of melt and transformation, the thought of specialization and generalization, the thought of infinite and finite, the thought of probability and necessity. Among them, less researching work of the thought of infinite and finite has been done. Although a few pioneers has done some relevant work, their attention has just been focused on the method and techniques of solving problems. As for the existence of the thought of infinite and finite, there is insufficient understanding. In view of this phenomenon, this paper analysis systematically the thought of infinite and finite, mainly reflected in three aspects:1interpreting the thought of infinite and finite;2exploring the manifestation of the thought of infinite and finite in the text books;3summarizing the thought of infinite and finite in the college entrance examination.