Font Size: a A A

Research On Higher Mathematics Modelling Education

Posted on:2008-11-11Degree:MasterType:Thesis
Country:ChinaCandidate:L Y GouFull Text:PDF
GTID:2120360212996619Subject:Mathematics Education
Abstract/Summary:PDF Full Text Request
Since 50`s of last century, people pay more attention to the mathematics modeling. For example, the NOBEL PRIZE of 1969, 1980, and 1981 awarded to economist, they are all good on mathematics modeling. By time going on, the importance of mathematics modeling is realized. So, how to carry out the education of mathematics modeling has important significance.The article first discusses about the reformatory function to the advanced mathematics resulted from the mathematics modeling education, and then I analyze the educational meaning brought by the mathematics modeling. after that, I'll introduce some mathematics modeling activity held by JILIN University, and get some meaningful conclusion through investigation and analysis .hopefully, all of these done above could expect a further improvement of teaching quality and push forward the reform of the advanced mathematics education . Last, we get a conclusion. So, text is divided into five parts:The first part aims at the reformatory function to the advanced mathematics resulted from the mathematics modeling education, and putting forward some aspects during the advanced mathematics education reform while elaborating the content of the mathematics modeling and the mathematics modeling education.speaking of the mathematics modeling,it aims at actual problems of certain fields, through a series of abstract, simplification and defining the variable and parameter,setting up a mathematics modeling between the variable and parameter according to some rule,in order to solve that mathematical problems while explaining and validating them.Mathematics modeling education is a kind of teaching and practicing activity facing all the students on the basis of mathematics modeling.That is to say, the students can understand some methods and steps of setting up a mathematics through teachers' explaining of the original material and obtain the ability to mimic how to set up simple mathematics modeling with the guidance of their teacher.Mathematics modeling education is a kind of teaching and practicing activity facing all the students on the basis of mathematics modeling .That is to say, the students can understand some methods and steps of setting up a mathematics through teachers' explaining of the original material and obtain the ability to mimic how to set up simple mathematics modeling with the guidance of their teacher.The second part is to reveal the educational meaning brought by the mathematics modeling and the reformatory function to the advanced mathematics resulted from the mathematics modeling education through the viewpoint of the construction of mathematics modeling, the original cognition of the mathematics modeling and the relationship with the mathematics modeling and the development of the creative thinking pattern of the students.I consider that the mathematics modeling is to develop the creative process filled with "personal thinking structure". it needs not only the contact built up among the student and each factor of the modeling,such as putting forward questions about the modeling, measuring data, setting up model,but also requesting the students already had the experience of their owned mathematical knowledge,so that they could get the answer to the question .in a word, mathematics modeling is an active exploring and constructing process done by students.According to the definition of Flavell, the So-called original cognition means the process and result of self-recognition and the knowledge of some other related things. the further explanation is that to accomplish certain target or mission on the basis of the active supervision of the cognized process by the cognized object and the continuous adjustment and responses .This kind of ability is displayed on the basis of knowledge and experience of the original cognition, with the ability of self-consciousness and self-awareness, and the evaluation control and adjustment made by students during their mathematical learning.Through mathematics modeling,students can realize their own cognition level, deepen the understanding of cognizing process, cultivating learning interest,raising learning desire in order to improve the original cognition ability .Thus, through the emotional and cognition experience of the mathematics modeling, we can improve problem-solving ability; fully train the student's thinking ability. Mathematics modeling is a comprehensive training of the original cognition and it's also a proof and improvement of students' original cognition ability. mathematics modeling teaching can urge students to set up studying plan flexibly according to their own intelligent characteristics, study missions and request vividly the, choose appropriate study methods, and carry on supervision and feedback progressively in the process of study, thus they can adjust and correct study methods in time, in order to attain their targets as soon as possible.The creative thinking means people's to the of thing contact carries on unprecedented considering and produce the thinking of new idea, in fact the quality is reasonably and coordinately use various thinking forms, such as logic thinking, image thinking and intuition thinking etc., make to have a preface to turn concerning the information and produce aggressive effect ion. The university student in the study constantly make the creation which to them is fresh and design specially, such as discover new thing, acquire a new result, create a new method, develop a new product, make a new result and resolve new problem etc., is all kind of creation. Mathematics modeling activity is need to carry on more complicated comprehensive thinking process, have to intuition thinking and discover the thinking knot put together, because the problem has "obstacle" and impossibly and directly make use of formula result, need to carry on a conversion, create model, it is the process that student's study creative activity.The third part inquisitions Positive analysis of mathematics modeling educations. These years, JILIN University carry out mathematics modeling educations actively, and get good efface. This part, I take mathematics modeling educations of JILIN University for example. I want to gain the influence for senior student's study mathematics attitude, the study method, academic record, comprehensive ability etc., and make the conclusion which from analyze the investigate and research. From the way of adopt the actual questionnaire, we understood JILIN University one and half years to set up mathematics modeling teaching,the influence to the student's study mathematics attitude, study way, academic record, comprehensive ability etc. Use the thought of mathematics mold into the teaching of senior mathematics practice, be advantageous to the raises a student's academic record, can convert bad living, make excellent living more excellent, the whole level of the student exaltation, stir up a student's creation desire and study enthusiasm, also be advantageous to inspires a student's applied consciousness, train a student to problem-analyze, problem-solving ability. Thus the teaching, not only make the student learned the knowledge which only from the book, more important is student by himself applied mathematics knowledge and method to observe, analyze, workout the problem in the lifetime and science and technology, and make him turn from knowledge type to ability type conversion, have more ability face to social competition in the future, and raise their mathematics character completely.The third part introduces the method of developing the mathematics modeling activity. It should adequacy to permeate mathematics modeling thought in senior mathematics, so it can make the student's study get into "the theories contact practice, practice promote theories" of good win circulation. In a great quantities practice enunciation, once people knowing the method of mathematics thought, it will be useful in the society practice and be benefited in the lifetime. While introduce concept, principle, formula etc .Pay attention to permeate of mathematics thought and the introduction of mathematics method.The fifth part elaborates that the outlook of mathematics modeling and senior mathematics education reform. Today,the development of the Mathematics modeling activity can make us treat the dual target of mathematics education from the angle of mathematics education philosophy, it is that mathematics education should not only consider the inside regulation of mathematics, but also pay attention to the social fulfillment of mathematics to request. It can be said, mathematics modeling make investigate for us to hard consider the goal of education of senior high vocational school. It is that the student can have a certain application after study some mathematics; from an application not only understand mathematics is useful, but also know when to really need to solve an actual problem; his own mathematics knowledge is not enough. Learn and then know shortage, from it produce strong study -wishes, encourage the aggressive and the activity of the students' study. Make good senior mathematics education reform in deed have to obtain social support, demand the long-term joint effort from the student, teacher, expert and the society. I believe firmly to from the development of mathematics set up mold education and the study of senior mathematics education reform and then give in an implement, can make more previous step of the teaching quality of our mathematics.
Keywords/Search Tags:Mathematics
PDF Full Text Request
Related items