coach outlet The potential to play a computer pape

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subject of mathematics can not do without doing, using the characteristics of large capacity of computer information, you can make some intelligent exam, students can do with it problems, review knowledge. Exam intelligent mentioned here, refers to the system's responses according to the test, test, answer those points for the mastery of certain knowledge to intelligently adjust the kinds of questions, questions, and can transfer the knowledge points online theoretical explanations, review teaching content. In this mode, students can choose full ownership of the content of teaching practice, and can receive timely guidance, teachers can use the question bank free to generate different levels of intelligence, content of different e-papers, the students multi-faceted investigation. In addition, teachers can also record a period of students (one semester or one academic year) of the test cases, listed in charts, identify problems, and targeted guidance.

2. Cooperative learning groups by computer

computer science and mathematics subject knowledge can be said that between the Decades, the simultaneous development of the computer, including the mathematics computation, symbolic calculus, computer graphics has been great progress, these developments in turn promote the development of computer technology. As the computer increasingly into people's lives, the community's mathematical literacy requirements have been converted from relying on pen and paper operations to the effective and appropriate use of technology can help students to think mathematically in-depth, simplified summary process to improve the students to solve problems and in geometry and algebra, algebra and statistics and real problems related to model scenarios and the ability to establish a link between. Mathematics education should arrange more time for students to think and understand the more fundamental aspects and learn to ask questions and abstraction, so as to achieve to help students think more deeply Mathematics, Applied Mathematics. Mathematics teaching in schools should be more emphasis on training students to mathematical thinking and understanding of methods and applications, attention to real problems.
Second, mathematics teaching content
example, Geometer's Sketchpad provides a very good question for students to actively explore the to understand and grasp abstract mathematical concepts, it allows students to get real mathematical experience, and not just some abstract mathematical conclusions. At present, in this regard have been some useful attempts. Such as the '98 National Computer Aided Mathematics Teaching Lesson Zhanping, exchanges, seminars, Beijing Normal University High, a Lesson Geometer's Sketchpad, their dynamic changes observed in the variation of static graphics, a quantitative study of graphics, through communication, discussion, and ultimately to obtain the solution, a solution which is the teachers in lesson preparation has not thought of. Summer semester 1995, two U.S. junior high school sophomores David Goldeheim and Dan Litchfiled Geometric Sketchpad found yet another way to segment any decile; Northeast Yucai School a student found a generalized butterfly theorem. Aside the significance of these issues are not their own, said the process to deal with problems (guess, validation, demonstration), to our mathematics teaching is also a revelation.
in the application of mathematics to solve practical problems, they generally have to go through this process: gathering information and data, processing data, the mathematical problem and solve mathematical problems, real problems get solved. We analyzed the data in the process of dealing with the need to use a lot of knowledge of discrete mathematics (such as statistics, linear equations, matrices, graph theory, combinatorial mathematics, etc.), therefore, they should be the introduction of middle school mathematics content knowledge and improve the students to analyze to handle data.

References

in mathematics, you can properly penetrate some programming ideas. Students to master the basic method to solve a problem, you can allow students to solve problems using computer programming to a mathematical problem from one dollar to promote the diverse, from one-dimensional extended to the multi-dimensional. For example, in the learning equations, students can be programmed to solve some problem of multiple equations. In this way, students will be able to focus on the main basic methods of learning, rather than more attention to computing skills.

advantage of the computer itself, it enters the mathematics classroom, more and play an important role. Also should be considered, with the computer, students should learn what kind of math?
application of new technologies, to bring us more convenience, but also lead us to more thought. Computer into mathematics teaching, will trigger a new revolution in education and the formation of a new mathematics education prospects. The majority of mathematics teachers, mathematics educators should be the protagonist of the revolution.

1. Adjustments, streamlining some of the traditional teaching content

in class, could use some counseling, and skilled software to consolidate some have learned the knowledge and skills. Improve their speed and accuracy to complete the task. Guidance software into the computer teachers. This courseware provides not only text, graphics, animation, video images, as well as audio commentary and sound effects, text, graph, and Mao, with good audio and visual effects. The organization of teaching content knowledge points more than a chapter-by modules, learners need to self-created according to the progress of individual systems to gradually in-depth study, review the contents of knowledge has been learned. This courseware can complement and enhance classroom learning the contents of the concept of learning. Interaction, timely feedback and patience enough to make the advantages of very useful math tutorial courseware.

The potential to play a computer paper to promote the reform of mathematics teaching

computer technology on all aspects of our lives has a huge impact, it is difficult to imagine an organization in operation do not use the computer. In department stores, with the computer bar code scanner allows us to quickly check out; when we see the football game, we can see the computer control on the scoreboard; car engine systems and instrument panel are controlled by computer; Many people have begun to use their computers to manage the family's daily income and expenditure, management, business cards, printed envelopes, e-mail to a friend, or even the Internet to play Chase the Pig game. In schools, the computer penetration rate is gradually improving. In the U.S., the end of 1994 18.1 million units have been using the computer education, of which 6.2 million units directly into the primary and secondary schools,[link widoczny dla zalogowanych], 98% of the primary and secondary schools have been used to varying degrees, computer-aided instruction, the nation's elementary, middle and high school enrollment in the computer rate was 15:1,14:1,10:1. In China, the school has gradually improved the computer penetration rate, according to incomplete statistics, as of 1996, nearly 800,000 of primary and secondary schools, there are 3 ~ 40 000 different grades of computers equipped with 40 million units, Many schools also equipped with a network computer classroom. But in fact the real use of computers in the classroom teachers are rarely, computer room typing into the classroom. This is true in developed countries. Such as the Japanese high computer penetration rate of 99.7%, but the teachers are willing to use in the classroom are only 18.7%. There are many reasons for this situation, if the teachers are skeptical of the CAI, or because of the unfamiliar new technology rather than try to, as well as the lack of educational software, the existing high quality educational software. In the 21st century, computers in mathematics education must play an important role, therefore, how in mathematics teaching full play the advantages of the computer has become the modernization of mathematics education and mathematics education reform a reality issue.

use of computers for classroom presentations by well-designed animation, illustrations and audio, can make abstract mathematical knowledge profound in simple, intuitive form,[link widoczny dla zalogowanych], shortening the objective things and students distance, to better help students think about the links between knowledge and promote the formation of new cognitive structures. Dynamic changes of the computer can be shaped with a number combine to show the movement and change in front of students and allows students to raise awareness of the abstract image of a summary, which the students good habits of mind will play a very good effect. Meanwhile, here also should be noted that a demonstration of the computer can only help students to think, but can not replace the students thinking, teachers should be appropriate to give tips, combined with computer presentation help students with thinking processes, the formation of concepts.
3. Review the use of computer, operating
one mathematics teaching how to better application of computer
this article will be based on the advantages of the computer and its relationship with the modernization of mathematics education about the author of the use of computers in mathematics teaching Opinions.

1, editor of Beijing Normal University Press 1997 2, Theory and Practice - Meet the challenges of the 21st century,
Now, with the development of computers and the increasing number of educational software, math CAI is gradually carried out many areas, schools are making CAI experiments. However, according to the present schools, students and teachers have the status of the computer familiarity with the computer, the present application are still preliminary, the use of CAI in math class is still relatively small, most of them only talk about the open class, while the lack of large-scale system experiment. CAI in mathematics classes, teachers, teaching how to organize, how to play a leading role, the students in the CAI classroom how cognitive processes, etc., all can be answered only by experiment. In addition, through experiment, to find an entry point for mathematics CAI, CAI is also necessary for the development of mathematics. Therefore, in future math classes, where conditions should be as much as possible using a computer to solve the traditional teaching to do bad things, this should be an important part of teaching. The following depending on the characteristics of computer software, to talk about computer applications in mathematics teaching.
group cooperative learning in this mode, the role of teachers in the classroom more like a student counselor or helper. They set the environment to help students to ask questions and to explore and stimulate the students to answer questions and provide students with the tools they need and resources so that students can construct knowledge. Teachers can not - nor should expect - to fully grasp the content with a topic related, they need to know is how to guide students, how to ask the students some of heuristic problem of how to enable students to link with related resources, How to provide for their storage, manipulation and analysis of information tools.
environmental development in information technology background, we should be thinking of traditional education to change. Development of student-centered cooperative learning ideas, the development of common solutions to the problem-centered ideology, the development of capacity-building as the center, emphasizing the idea of lifelong learning. The problem is the dynamic development of mathematics, so the teaching of problem solving has always been the attention of teachers, modern mathematics education is the emphasis on the The traditional mathematics education due to various constraints, one-sided emphasis on the mathematical side of deductive reasoning, ignoring the experience of mathematics as a scientific side. Now, the computer processing power of mathematics provides the possibility of discovery learning, and its dynamic context for students to Teachers can be more exploration, analysis, thinking tasks to students to complete.
1. With a computer classroom demonstration
mathematics curriculum should be possible to use calculators and computers, this should be the principle of the development of new mathematics curriculum. At present, many developed countries have to do so. National Association of Teachers of Mathematics (NCTM) proposed in 1980: in all grades, should give full play to the role of the computer, and focus on the combination of computer and mathematics curriculum as a whole. In 1989, NCTM has published a In the U.S., schools across the country are being integrated into the math of computer programming to go, the new materials are published in each set of BASIC programming content, equivalent to 8% algebra course. Therefore, how to deal with the traditional content of modern, computer and math courses will be combined into one, is the textbook reform is an important issue.

traditional mathematics teaching, a large number of complex operations, teaching takes a lot of time and energy to training. Many software packages (such as mathcad, marhematic, maple) can complete a variety of mathematics, computing, mathpert also give tips at each step, and guide students to answer today. This technology enables the relevant mathematics skills, skills less and less important aspects, which makes teachers and students from the liberation of heavy manual labor, the heavy computation to computers. Therefore, the material can be cut appropriately adjust the number of teaching content. For example, look-up table calculations can be canceled if too difficult to so many of arithmetic, factorization reconciliation equation (s) whether or not to so much training, the operator can introduce the calculator trigonometric functions, etc., are to be considered problem. Of course, not the students do not practice, but to grasp the basic idea, the basic approach can be.
Mathematics is taught in the form of quantitative relationship between science and space, number and shape itself is an organic whole. In the traditional teaching of geometry, Euclidean geometry wars take a lot of content, students need a very long time to learn Euclidean geometry, learning logical argument. We may have this experience,[link widoczny dla zalogowanych], is proof of Theorem arithmetic problems like solutions, is very difficult. Course, this can well develop logical thinking ability, but students need to develop logical thinking skills are not just thinking, logical argument method to solve geometric problems is only one class method. Thus, in middle school mathematics should be together algebraic geometry, algebraic geometry problems will be as soon as possible the introduction of analytic thinking. For example, we can introduce the concept of the line number line, in terms of linear equations can be used in parallel, vertical and so on. Currently, the test material in the new high school space vector is introduced to solve the problem of solid geometry, is a good attempt.

2. Increase the number of teaching content
In this mode, the computer as a coach, is the traditional process of teaching teachers through the blackboard, slides, teaching aids, models and other media displayed a variety of information by computer processed as text, graphics, images and other information, and make the necessary processing (such as animations), organize such information. Classroom teaching can be a computer with large screen projection TVs are connected together, can be carried out in the network computer in the classroom. Using this model for classroom teaching, in a relatively short period of time, the computer so that students with a variety of senses and to enhance the absorption rate of information to enhance understanding of knowledge, which can be done to impart the knowledge of higher density, greatly improve the classroom utilization.

practical lessons in math,[link widoczny dla zalogowanych], consider the students into a group of 2 to 3 individuals, each sharing a computer. Question teachers and students use computers to provide the environment, positive thinking, discussion, hands-calculus to answer this question. Teachers should participate in in-depth discussion of each group to observe the process, to understand the problems and timely answers to common problems organizations to have the class discussion or explanation, the creation of a research effort to explore the whole class academic atmosphere.

For example, for triangular The use of computers can make a ramp on the screen and the angle of the triangle ABC the bisector of A, BC side of the perpendicular bisector and midline, and then randomly on the screen with the mouse drag the point A, the use of software features, then the triangle ABC and the In the moving process, the students discovered the existence of such an intuitive point A, makes the angle bisectors, perpendicular bisectors and the middle three lines overlap. Again, for the teaching of the concept of pi, the use of CAI, to be launched on the circumference, while tracking and measuring the circumference and radius, and guide students to find the circumference of a circle with radius ratio is a constant. As a round can vary the experiment, students are very receptive to the existence of π.

school students now, the future will move towards a more information-oriented society, so now not only use modern technology to improve mathematics education, and increase the number of teaching content should be appropriate for students to enter the technical community must be prepared.

in teaching mathematics, some problems can be considered to address students in the computer up and now there are some software can be used. For example, the use of electronic forms (such as EXCEL) so you can perform many mathematical tasks, such as the establishment of equations to solve group problems, and test a variable to estimate the change of the impact of other variables. Spreadsheets to help students explore the relationship between the amount is an effective tool, teachers can ask students to study different column values, and summed up relations between the number of them. In addition, many electronic forms as well add, subtract, multiply, divide, square root, summation and averaging functions and draw histograms, graphs, scatter, bar chart and other graphics tools, which can very well help Statistics from learning students to complete tasks.

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