# mathematics teaching in higher mathematics experiment into the idea of-毕业论文翻译.doc

Mathematics Teaching in Higher Mathematics experiment into the idea of Abstract: In this paper, the current status of vocational college students and vocational mathematics teaching problem, a mathematics teaching in higher mathematics experiment into the idea, and explained the role and feasibility of the idea. Keywords: Higher mathematics, mathematics experiment Author: Li Xiaoqin, female, 1981, Zhaoqing, Dongguan Nambour Ministry of Vocational and Technical College Foundation, lecturers, graduate students, Main research topic is nonlinear functional analysis and its application Description: This is the mechanism of the Educational branch of the “Eleventh Five-research planning issues,” the research results, project entitled Vocational Training on Applied Mathematics Reform RESEARCH “, subject to teach machine level code word: 2009310 Keywords:: G712 Document code: A In recent years, the rapid development of higher vocational education, publication and distribution of a number of mathematics textbooks for vocational use, but it varies greatly, most commonly advanced mathematics content of the “cut version”, “doing thin”, “set to do”, and not entirely suitable for students of Higher Professional learning. To compensate for the lack of these materials, in addition to the instructor teaching the actual situation according to integration and optimization of a variety of teaching resources, I imagine the process of teaching in higher mathematics into the mathematics experiments are an important way to make up one of these. First, consider the current basis for higher learning institutions After successive years of rapid development, higher education has been the transition from elite education to mass education stage, the national common entrance examination for admission rate of 50% or more, some provinces more than 80%, appears to enter vocational college students studying there in general the case of weak cultural foundation. specific to mathematics in terms of this basic course, I had to teach a class of mechanical and electrical expertise to conduct a survey of a whole class of 48, the college entrance examination. the number of results in 100 subjects (including 100 or more (all Volume out of 150 points, the same 0, 1, 90 am to 99 points, 80 points to 89 points 1, 4, 70 am to 79 points, 50 points to 69 points and 12 people, less than 50 points and 16 people, as Finance and some other liberal arts majors worse some, they do not know how to learn mathematics, they put more effort spent on how to deal with the final exam up, many students do not know how to use math to solve in future work or life problems, rarely even think about this concern. Therefore, students generally were not enthusiastic about learning mathematics, paid insufficient attention to the application of mathematics do not know, nor care about the application of mathematics, some students began to suffer the secondary school mathematics learning the pain of failure , entered the university not get out of this pain, has the effect of the ideological weariness, in addition, college students have learned the basis of professional courses lack the necessary training and deep thinking is a common problem, the doors of college courses from the course Answers to the popularity of post-set can indirectly prove it. In view of this, I believe, should focus on the higher mathematics to solve several problems: 1, the purpose of vocational education in mathematics, mathematics teaching for higher vocational institutions, personnel training services. 2, handle the mathematical foundation and subsequent development of individual students, applied mathematics and teaching relationship. 3, the use of flexible teaching methods, improving the quality of classroom teaching and improve teaching efficiency. 4, to improve mathematics learning passion, strengthening the study method. 5, the introduction of case teaching, highlighting the breadth of mathematics applications. 6, to borrow teaching mathematics package, reducing the application process in mathematical computation and difficulty. Introduced in vocational mathematics teaching experiment, although it can not solve all the problems, but at least part of the problem can solve the above and has a series of role. Second, the mathematical experiment in Teaching 1, as the basis of poor students, fear of mathematics, has been considered a boring math class, math concepts are only looking in vain, abstract intangible things, so are not enthusiastic about learning, vocational integration of mathematical experiment in mathematics teaching , can greatly enhance student interest in learning. 2, higher mathematics into mathematics teaching experiment, students can greatly improve the speed and ability. Higher Mathematics Teaching in the integration of mathematical experiment, due to computer applications in daily popularity, the original calculation of complex and difficult due to implementation problems are resolved, the issue in mathematics do not intentionally prepared man-made, “Applied Mathematics Problem” as implemented in teaching is no longer avoid complex calculations, and analysis of the problem leads to a deeper level. We know that the aid of computer Auxiliary and manufacturing (CAD and CAM, greatly improve the design and manufacturing efficiency, and create an unprecedented material wealth. In teaching, as if the design and manufacturing, as the use of computers to students from the tedious repetitive liberation of low-level work, spend more time on concepts, methods and modeling thinking, then the efficiency of teaching must be improved greatly. today’s personal computers are very popular among college students, most of these computers as the amount of information exchange and entertainment electronics products, has rarely been used to help students in school, it is very regrettable. 3, in higher mathematics teaching experiment to introduce the idea of mathematics, can give these students the right to guide and enhance their understanding of mathematics: (1 Mathematical theory of experiment in mathematics and mathematics in the production and economic life of the channel between the problems, the basic theory of learning mathematics is no longer a riot, so that students learn mathematics better understanding of the purpose of improving learning initiative. (The introduction of mathematical experiment 2, the more students in more time, space and broader participation in the field of mathematics teaching and mathematics learning, will break only to mathematical teaching in the classroom limited learning space will be greatly expanded. (3 mathematics test for students to truly understand the breadth of mathematics applications, mathematics students can experiment with the proceeds to address the broader areas of production and living broader range of issues. Third, integration of mathematics in mathematics teaching model experiments Integration of mathematics teaching in higher mathematics test, different from the current experiment in Higher Education in the teaching of students in mathematical models, Mathematical Experiment in Higher Education, emphasis on the difficult process of mathematical modeling, and higher mathematics teaching The experimental emphasis on the use of computer to solve the problem. in teaching process, the higher the basic mathematics concepts, methods, the necessary computing skills, such as the limits of thought, derivation method, integral method as long as the students understand clearly, the experiment focus on how to master the use of computer calculated the limits of reconciliation calculus numerical solution of mathematical models, such as the use of mathematical software, mapping [1], find the calculus, with matlab or lindo Software for Linear Programming [2]. In addition, the integration of vocational mathematics teaching experiment focused on falls, another vocational mathematics applications, such as economics, marginal analysis, elasticity analysis, optimization problems, thermodynamics, electricity, signal systems, control theory aspects. the specific mode is divided into the following steps: learning the basics of higher mathematics, the simple operation of training, according to the actual problem situation created problems, with the knowledge to practical problems into mathematical problems are mathematical models, the use of computer solve the problem, sometimes predictive test results and improve the model. reposted elsewhere in the paper for free download http://engcom 1, teaches the basics of higher mathematics, the main concepts, the basic approach, then simple arithmetic training. algorithms and concluded that the need to let the students know, calculation methods to enable students to clear, to make students understand the process of calculation. 2, according to the actual problem situation created problems, due to practical problems are always changing, that is, the link between the variety of things, data complexity, and teaching but also by teaching lessons, professional fields and students based restriction, college mathematics teaching material Selected topics on the math emphasis on the creation of problems, most from the economic, production, real problems in life. In teaching process, teachers should strive to avoid the shortcomings of these materials exist, bold use of case teaching, according to the actual problem as to create a the real problem situation, will be placed in a solution of mathematical problems of practical significance in the context of which highlight the breadth of mathematics applications, allows students to find mathematics useful in parties, the study of mathematics is available, can be used to improve student interest in learning mathematics stimulate enthusiasm for learning. At the same time, the selected case is aimed at students, for professional to select, such as: (1 for the finance and insurance major, the introduction of cases like this: 1, the introduction of a combination of life insurance and pension plans, which describes the example is: If the 40-year-old male policyholders to pay premiums 1,540 yuan per year, and paid period of 20 years to 60 years of age, the survival time in his 45 years of age (insurance for 5 years) may be the return of subsidies to 4,000 yuan, 50 years old (10 years of insurance) may be the return of subsidies to 5,000, then every 5 be an increase of 1,000 on the return of subsidies, In addition, the insured’s death or disability, their beneficiaries will receive insurance money 20,000. Test Analysis: If the insured’s life expectancy was 76 years, the premiums received how much the actual annual interest rate? If the insured’s life expectancy was 74 years, the premiums received by the actual annual interest rate and how much? 2, (1 to develop a complete individual housing loan repayment amount equal monthly principal and interest table, the initial loan amount is ten thousand yuan, the borrower shall not exceed 20 years, according to the central bank in September 1999 announced the commercial lending rates, one to five-year period is 5.31%, one-year debt service to maturity five-year or more (not including the five-year) was 5.58%, the provident fund interest rate is 4.14%, respectively, and 4.59%, loan period should be included in the table, according to the above two month lending rate to calculate the interest rate, the monthly repayment amount, the total repayment amount and the total interest burden. (2 one loan period (such as two or three years), for example, the monthly repayment of the above system to a system of annual payments, or payments made quarterly to study the repayment period for loans which are more beneficial? (2 students for business management, the introduction of similar such cases: Wyndor company is a manufacturer of advanced glass products of the company, its under there A, B, C three factories, the company plans to plant in the three A, B two kinds of products, each product consumed per minute of production capacity, the plant production capacity and production of existing products, may be the profit per minute Asked how to arrange production plan that allows the company to obtain the maximum profit per minute? This fully reflects the higher vocational mathematics teaching students the principles of professional services, personnel training services for the purpose of teaching. 3, guide students to develop appropriate mathematical models, use their knowledge to practical problems into mathematical problems, using mathematical language to express it really, this is the teaching of the difficulties, when this step is the key to solving practical problems, If the mathematical model appropriate to solve the problem of the prediction test, the reality of economic production and service management activities are very beneficial. As the diversity of practical problems, to express to the students before the experiment on the application of basic knowledge, the idea of application conditions and modeling methods, which determine the dependent variable and independent variables, looks for the relationship between the range of application conditions of these relationships is with a mathematical model, after training in this part, you can let the students know Experiment theoretical premise of the operation but also improve their thinking skills. 4, the use of mathematical software to solve the problem, as do the current math program is very sound, some simple numerical calculation, find the optimal solution, fit, seeking calculus, solving differential equations and mapping, etc., can be more convenient to use computer to complete the requirements for a particular algorithm problem and needs to find the algorithm, compiler, program running, and ultimately solve the problem. teaching, this step is a major difficulty for beginners, according to the author’s observations, along with the software familiar, the students most interested in this aspect. After a period of training in mathematics achievement even weak students can grasp. 5, test results, improved mathematical model to predict the future. In teaching, guide students to develop a test to solve the mathematical model results and the habit of continuous improvement, which can help students Truth, goodness, the courage to explore the scientific spirit. In short, integration of mathematics teaching in higher mathematics test, to a certain extent, solve the issues raised earlier. This shows that the teaching of mathematics in the mathematics test mastery of the students is not high smoothly. Create problems in the Teaching Case context of the extreme demands made of teachers, teachers in general