The Study Of Compilation For Mathematical Subjects In Test On The Basis Of The Great Problems Of Mathematics

The Study of compilation for mathematical subjects in test on the basis of the great problems of mathematics, on the one hand,aims to achieve and intensify the examinations among mathematical culture and innovation consciousness; on the other hand, it aims to enrich and develop the theory of compilation for mathematical subjects in test, this providing a useful reference for test providers to design mathematical problems based on the great problems of mathematics.This paper is mainly divided into three parts:the first part defines the meaning of "the great problems of mathematics" by document research, and finds the form it takes in mathematical questions of college entrance examinations and comments some typical examples of it. The second part establishes theoretical basis. It discusses the principles of designing mathematical problems under the background of the great problems of mathematics, including the principles of science, criterion, purpose, consistent, innovation and culture, and puts forward some cases that is open to discussion among these principles; Besides that, it explores the strategies of designing mathematical problems under the background of the great problems of mathematics, including the strategies of citing, remaking and permeating the thoughts of its source material, sets an example with the backing of these strategies. The last part, depended on three specific examples, points out the process of compilation for mathematical subjects in test on the basis of the great problems of mathematics, which containing confirming purposes and selecting materials, designing and revising the examination questions, re-examining and determining the examination questions; By means of written tests and questionnaire survey, it evaluates those mathematical problems in different aspects, such as quantitative analysis and qualitative analysis, the comments from test provider and tested persons.The examination questions on the basis of the great problems of mathematics, which keeping to the principles above-mentioned and designed under the inspiration of the strategies above-mentioned, can achieve the objectives of the test mainly, and correspond to the test requirements among mathematical culture and innovation consciousness. The theoretical basis of compilation for mathematical subjects in test on the basis of the great problems of mathematics is instructive to a certain extent.