Mathematical Contest In Modeling And Teaching Strategies

Beginning with the investigation and analysis of problems in our country's traditional higher mathematical education,based on examing of our undergraduate Mathematical Modeling Competition and its teaching development,this article puts forward that the undergraduate mathematical modeling activity is an effective way of innovating or higher mathematical education.The article analyzes undergraduate Mathematical Modeling Competition's characteristics and the theory foundation thoroughly, and points out the significance of this competition both in improving colledge students'innovation ability and in higher mathematical education reform. The article also concentrately summarizes and expatiates the prominent problems in present undergraduate Mathematical Modeling education from four aspects:students'ability, teachers'quality, teaching facilities and the management and organization of the school, on basis of this,the article puts forward teaching strategies for undergraduate Mathematical Modeling,and also dwells on how to improve the thinking principles and capabilities about undergraduate Mathematical Modeling by examples. The article also establishes the teaching mode of colledge mathematical modeling and thoroughly analyses the hierarchy of mathematical modeling's teaching and basic principles for selecting titles. At last, the article proposes several questions which we should pay attention to about colledge mathematical modeling teaching.The article mainly uses methods of materials and document research and investigation.In more specific terms, the article highlights several questions as follows:1. Based on questionnaire survey and individual interview to teachers and students,the article puts forward some problems in our country's traditional higher mathematical education,existing in varying degrees in our present higher mathematical education.That is the educational model of"put more emphasis on theory than practice"and the single methods of teaching and examination,which puts back students'all-round development badly,and is incompatible with the present international mathematics education reform's primary trend-----valuing mathematics'application. At the same time, the vigorous development of undergraduate Mathematical Modeling Competition illustrates the definite link between mathematical modeling education and higher mathematics teaching reform.It can be seen that university student mathematics modelling competition is an effective way of innovating colledge mathematical education from the achievements that the higher mathematical modeling teaching have gotten.2. The article analyzes China's Undergraduate Mathematical Modeling Competition's characteristics and the theory foundation thoroughly.Academy of Mathematical Science of Shandong Normal University have continuously attended China Undergraduate Mathematical Contest in Modeling during the past few years.Combining with their achievements,the article makes analysis about more than 70 competitors and some instructors,especially tracking down information about part of the competitors.By those first hand date,the article discusses the Mathematical Modeling Competition's action for training and improving colledge students'quality of science,and, also analyzes the significance of the undergraduate mathematical modeling activity in higher mathematical education reform.3. This article also concentrately summarizes and expatiates the prominent problems in present undergraduate Mathematical Modeling education from four aspects as follows:problems about students ,which focus on lacking upstanding thinking quality,mathematical reading ability,the ability of turning a practical problem to a Mathematical problem and also the appropriate manners for processing data; problems about instructors,which are mainly on education or teaching ideas , knowledge hierarchy, creative ability and scientific research consciousness, professional dedication and also on transferring roles during teaching ;problems about teaching process,which is that The undergraduate Mathematical Modeling Competition's popularity is not enough, and the efforts for the teaching of Mathematical Modeling toughts in higher mathematical classes are not enough ;moreover,from the aspect of the management and organization of the school,it can be found that,some colleges lack enough attention and support for higher mathematical modeling activity, a few schools have serious tendency towards utilitarianism during the organisation of Mathematical Modeling Competition,and most schools lack standardized system for Mathematical Modeling activity.4. Aiming arrectly at the above problems, the article puts forward teaching strategies for undergraduate Mathematical Modeling, and also, by examples ,dwells on how to improve the thinking principles and capabilities about undergraduate Mathematical Modeling, including bidirectional translation ability, modeling ability ,observing ability,guessing ability,logical thinking ability ,creative ability and self-evaluation ability; The article also establishes the teaching model of colledge mathematical modeling:on the one hand, after the analysis of different mathematical modeling teaching types in various countries,the article mainly discusses a new teaching model of maths modeling-------"kk intergrative model";on the other hand,the article proceeds hierarchy analysis about the teaching of higher mathematical modeling according to three stages.Besides,the article analyzes the basic principles for selecting titles in the teaching of colledge mathematical modeling,that is, valuable principle, problem-centered principle,objectivity and feasibility principle and interest principle;at last ,this article proposes several avoidable pitfalls and relations that should be well treated during colledge mathematical modeling teaching.