Why is it that American students learn math more easily and can still make great things?

American students learn math relatively easy in the early years, but one thing that most people don't understand is elementary math and advanced math.

The education system in the United States is very different from ours, they implement a policy of leniency and strict exit, and it is more difficult for us to go to college, but after you are admitted, as long as you study normally, you have passed every course, and you have a grade point.

If the requirements are enough, then you will be able to graduate, but the university courses in the United States are not easy at all, and they are even more difficult than the university courses in our country, especially some prestigious schools, such as Harvard.

And so on, although it doesn't work until two or three o'clock every night, but it's really not easy at allThey learn advanced mathematics and mathematical analysis more deeply than us, and they have a better environment and foundation. <>

Elementary mathematics and advanced mathematics are two worlds of things, elementary mathematics is in. Some applications can be replaced by computers, whether you are counting the addition of 10 digits or the addition of thousands of digits, the calculator computer sets up a fixed program to calculate much faster than people, and the exquisite multi-count calculation is not called itself The real test of a person's mathematical ability is advanced mathematics,Those things that involve thinking, these thinking things, are the ones that really make people improve their mathematical level, and they will really have a certain application in physics and even chemical biology. <>

Almost everyone in advanced mathematics is abroad, when you study advanced mathematics in our country, you will find that the names of those theorems are all foreigners' names, whether they are American or European, they are all foreigners, they learn advanced mathematics is a kind of thinking learning, not like us, only when they go to university, they may be involved in these when they are very youngWe often see some good physicists, chemists when he was five or six years oldCalculusIt may be difficult for us, but for people it's just another math subject.

Because they don't think math is too useful, so it's easier to learn, but they have strong hands-on skills, so they can make great things.

Because they focus on innovation, not to say that it is simple, formatted Siberia focuses on continuous innovation in their own minds, which is the most important thing, so they can make very good things.

In fact, the main reason is that although they learn mathematics very simply, their hands-on ability and imagination are particularly good, so they can make very good things.

It's impossible. The mathematics that Da Niu learns is Da Niu Math.

Mathematics for American students is taught in basic mathematics, algebra, geometry, applied mathematics, topology, and discrete mathematics. The details are as follows:

1. Basic Mathematics.

Fundamental mathematics studies the internal laws of mathematics, such as algebra, geometry, probability, and calculus. Basic mathematics is the study of the quantitative relations and spatial forms of things in form, regardless of the specific content.

2. Algebra. Algebra is a branch of mathematics that studies only real and complex numbers, as well as the theory and methods of algebraic operations of polynomials with coefficients as coefficients.

3. Geometry. Geometry is the branch of mathematics that studies the relationships between regions in space. Geometry is abstract, and geometry is closely related to analytic mapping, abstract algebra, and topology.

4. Applied Mathematics.

Applied mathematics is a general term for the study of mathematical theories and methods for the purpose of application, and the study of how to apply mathematical knowledge to other fields, the curriculum of applied mathematics has a wide range, mainly including calculus equations, vector analysis, complex variable analysis, numerical methods, mathematical statistics, probability theory, matrices, Fourier transforms, Zizhou group and spike mathematics, information theory, operations research, control theory and many other branches.

5. Topology.

Topology is a branch of mathematics that studies the phenomenon of continuity, topology was introduced into China in the mid-19th century, and has been developed so far, topology mainly studies the invariant properties and invariants of topological space under topological transformation.

6. Discrete Mathematics.

Discrete mathematics is a mathematical discipline that studies the structure of discrete quantities and their interrelationships, it has a wide range of applications in various disciplines, and discrete mathematics is also a large number of professional courses in computer science, through the study of discrete mathematics, you can not only master the description tools and methods of dealing with discrete structures, but also improve abstract thinking and rigorous logical reasoning ability.

In the minds of our people, the mathematics of American students is not as good as the mathematics of our students, and the students of our country are good at more complex mathematical formulas, and the mathematics that Chinese people learn is higher than that of the United States in the same grade.

We will find a problem when we watch movies, the teaching mode of Americans is completely different from our country, they seem to be very relaxed, so it is impossible to learn well in the eyes of most of our countrymen, and we will not receive great gains without so much effort, but the results are often beyond our imagination, and Americans' mathematics is much higher than our country.

There is such a saying in the teaching of the United States, the United States gives students who do not love mathematics the most basic mathematics education, and gives the highest level of mathematics education to geniuses who love mathematics, this sentence can also be used in the movie "Soul Catcher", many people have no way of knowing their talents, because they can't find teachers who believe in them. So they were convinced that they were stupid.

In fact, our people have a certain misunderstanding of mathematics in the United States, the United States does not pay attention to mathematics education, but attaches great importance to it, in every region of the United States, for students who have graduated from high school, what kind of mathematical accomplishment should they have, most of them have hard and fast regulations, and they cannot graduate if they can't pass the mathematics, but the level of mathematics is very low, limited to a similar level of trigonometric functions, which is indeed a very low level in our country. But this level is only among those who don't like math.

The reason why there are so many mathematicians in the United States must be related to the lack of mathematics education in their country, the United States divides mathematics education into two categories, those who like and those who don't like, and those who don't like are limited to the level mentioned above, but for those who like it, it's different.

It is true that American students are far inferior to Chinese students in terms of the average level of mathematics and physics in high school, but when it comes to "education for the gifted elite," China's education system is still 60 years ago. But during the college period, this level is getting bigger and bigger, so much so that beyond our imagination, the United States has produced so many mathematicians, while it is difficult for China to produce many mathematicians.

To a large extent, domestic colleges and universities, financial conditions, faculty conditions and scientific research hardware conditions, are too far away from developed countries, the advantage of the American education system is this system, from the side, a big advantage is that young people can spend extra time and refinement to change their disadvantages, focus on what they like to do.

American students learn mathematics more easily than us" is a false proposition, there is no such thing, this requires our people to reflect on why our people work so hard, but they can't surpass their mathematical level.

Now the country's teaching level is constantly developing, and there are more and more scientists in our country, and I believe that one day our country's scientists will definitely become the first in the world.

Of course, it is useful, increasing the difficulty of mathematics can improve thinking ability, promote brain development, master and consolidate the understanding of basic knowledge, and be able to draw inferences from others, and cultivate creativity and thinking ability.

It's useful because the two countries have different priorities: Most people in the United States practice happiness education. China's education is a selective education. Pick the best part of the bunch. Therefore, a higher difficulty is conducive to the selection of talents.

It is completely useful, because there are too many Chinese, mathematics can exercise our thinking, can screen out outstanding students, make China's science and technology more powerful, and enhance China's comprehensive strength.

There are a few aspects:

1.The development time of the computer field in foreign countries is much longer than that in China, and there is a lot of technical accumulation, which is deeply reflected in university classrooms and open source materials.

2.The development of a system does not require so many people who are math cows, but often only needs people who are very good at mathemats, such as the kamak god who developed various cow engines with the power of one person.

3.Many of the people who are very good at mathematics in China have gone abroad, and most of them have decided to go abroad and not come back.

4.China's top programmers are doing unreasonable jobs. For example, there is a floor in the building of a company that starts with T, and the best programmers in the country work on that floor, and the work of these programmers is often just to get a software, and then write a perfect copy through the system instruction set issued by the software.

5.In many cases, the birth of a great program does not require the author's superb mathematical ability, especially in the field of personal software. More often than not, creativity prevails, and in some places, of course, marketing prevails.

Americans really study math for interest, not for scholarships, dreams of prestigious schools, etc. This kind of heartfelt driving force, the more you go to the top level of research, the more staying power and combat effectiveness you have.

This is probably one of the reasons why Chinese students generally have better grades, but they do not produce as many high-quality results as Americans.

For example, Chinese elementary school students have learned the mixed operations of addition, subtraction, multiplication, and division very well, but American students in the same grade still stumble on addition and subtraction. Many Chinese primary and secondary school students who went to school abroad on the way also said that after studying mathematics in China for a few years, it was easy to learn mathematics in foreign schools.

From this point of view, China's math classes are indeed more difficult and in-depth than those in the United States, and Chinese students have indeed achieved brilliant results in various math competitions at the middle school level.

However, the strange thing is that the mathematics education in American universities is the top in the world, compared to the Chinese students who generally become obscure after entering the university, the previously mediocre American students are extremely active in the field of scientific research, so that the United States science and technology in the world to maintain a leading position, all kinds of scientific and technological innovations emerge in an endless stream. With such a superficial primary and secondary education in the United States and such a sophisticated university education, how did Americans bridge the huge gap in between?

Math for American students can be difficult.

In fact, the Chinese who are far away from the ocean have a deep misunderstanding of the educational thinking of the United States. It's not that math classes in the United States are simple, it's just that the U.S. doesn't require all students to have a deep knowledge of math, and schools provide courses of varying difficulty for different students. Each course in American middle school is divided into four levels, which increase in difficulty.

For example, the most basic requirement for high school graduates in Massachusetts is probably to be able to calculate simple trigonometry, which is only equivalent to the level of junior high school in China. But even so, many students still barely get their diplomas. As a direct result of this low requirement, the vast majority of students in the United States have a very low level of math ability.

This is also the reason why Americans are generally considered bad at math in China.

However, for those American students who are genuinely interested and willing to study, they will go for the highest-level course – an abbreviation for Advanced Placement, which generally translates to Advanced Placement in the United States. It was offered by the College Board, which moved the university's curriculum to the classrooms of high schools in advance. AP courses in American high schools include 22 categories and 37 subjects, and more than 15,000 high schools in the United States have opened AP courses.

High school students can take these courses according to their interests and abilities, take AP exams after the course, and earn college credits after reaching a certain score.

Therefore, for these studious students, they can not only learn all the knowledge of Chinese students in high school, but also learn a lot of knowledge that is not covered in Chinese high school, and the school has very high requirements for these courses, and they must learn very thoroughly. For example, the most advanced AP course in mathematics is BC Calculus, and after studying this book, students can already deal with calculus problems as easily as performing four arithmetic, while in China, such a course can only be formally studied at university.

Difference??? Just kidding, the report is one-sided, if American students are poor in mathematics, how did so many famous mathematicians come, why is there no one in China, the advantage of Chinese students is only before junior high school, rote memorization, calculating decimal multiplication and division on scratch paper has an advantage over American students, but this is meaningless and a waste of energy, American students will use calculators and programming to solve problems, which Chinese students do not have, and the advantages of Chinese students are nothing more than self-deception, Our advanced mathematics is much worse than others. Our scientific literacy is even worse.