PI calculation force

1. 1、 Background of the project
1. To cultivate students' computing ability is an important task of primary school mathematics teaching and an important foundation for students to learn mathematics in the future. According to the quality analysis of usual testing and final examination, students' computing ability is generally low, which undoubtedly causes great obstacles to students' learning and development. In order to quickly and effectively improve students' computing ability, better develop students' thinking, and improve the quality of mathematics teaching in a large area, it is necessary to strengthen the teaching of calculation as a breakthrough in primary school mathematics teaching
2. Through the research of this topic, we should strive to improve students' computing ability, cultivate their oral, mental and written abilities, and encourage students to graally like mathematics and become interested in calculation in lively and relaxed learning. So as to improve students' academic performance and lay a solid foundation for students' future study< Second, the goal of the research is to find out the reasons for the slow speed and low accuracy of students' mathematical calculation< Looking for teaching breakthrough and teaching training methods that can improve students' mathematical calculation speed and accuracy: (1) strengthen students' oral calculation training by taking oral calculation ability training as a breakthrough 2) Control a certain amount of training to cultivate students' sense of number 3) While paying attention to the training of students' thinking ability, we should pay attention to the training of students' mathematical calculation, grasp the basis, highlight the pertinence, find the regularity, and properly integrate< Third, research measures
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"in order to cultivate students' computational ability, we should pay attention to the basic training of oral arithmetic, insist on regular practice, and graally achieve proficiency." This is the requirement of mathematics curriculum standard. In the process of teaching, we should organize teaching and training in a planned, step-by-step and purposeful way, such as listening to arithmetic, reading cards and oral arithmetic, reading questions and calculating silently, and repeatedly emphasize that the first is correct and then fast
2. Strengthen basic knowledge and improve written calculation ability
in calculation teaching, oral calculation is the basis of written calculation, while written calculation is the key. Written calculation plays an extremely important role in primary school mathematics teaching. No matter how advanced the technology is in the future, the ability of written calculation is always a necessary ability for primary school students
(1) to enable students to understand the basic knowledge of mathematics and master skills is the primary condition for the formation of computational ability
each calculation is based on the corresponding concepts, rules, properties, formulas and other basic knowledge. If students don't understand these basic knowledge correctly and master them thoroughly, they can't calculate. Only after students understand and master the relevant operation properties, laws and skills, can they apply these knowledge in specific calculation to seek simple and reasonable methods, improve the accuracy of calculation and speed up calculation
(2) strengthening practice and skill training is the key to the formation of students' computing ability
for example, in the calculation of four items of scores, some students often encounter the situation that the calculation method is correct but the calculation result is wrong. The reason for the error lies in the basic skills such as score rection, general score or mutualization; Another example is the division of decimals, especially when the divisor is a decimal. The mistake is that when the divisor becomes an integer, the divisor does not expand the same multiple at the same time, resulting in a wrong quotient. So we should strengthen the training of basic calculation skills in calculation practice
(3) memorize common data to improve the calculation speed
in the four arithmetic operations, if students memorize some common data, it will not only help students to achieve the requirements of "correct and rapid", but also help them master the skills of calculation. For example: special data with sum and proct of whole hundred and thousand (for example: 75 + 25 = 100 + 25) × 4=100 125 × 8=1000 The proct of the approximate value of PI 3.14 with one digit and the proct with several common numbers 12, 15, 16, 25 and 36; The denominator is the decimal value of the simplest fraction of 2, 4, 5, 8, 10, 16, 20 and 25, that is, the interaction of these fractions and decimals
the results of the above numbers, whether in daily work or in real life, are used very frequently. After mastering and remembering them, they can be transformed into abilities and proce high efficiency in calculation
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after mastering the calculation method, students tend to deal with the boring calculation, resulting in more calculation errors. At this time, the proper development of some computing competition activities, often can better mobilize the students' learning initiative, improve the interest in computing, and achieve the purpose of improving the accuracy of computing. This semester, I plan to carry out two calculation competitions in the class, in order to improve the students' interest in calculation and improve the accuracy of calculation. After the competition, pay attention to sort out the students' mistakes, analyze and classify them, and then make targeted remedies, so as to clear the obstacles for improving the students' computing ability
4. Encourage students to have a pleasant learning experience
teachers should encourage students to make mistakes e to carelessness. In the usual homework correction, we should affirm its strengths, enhance self-confidence, put forward ardent hope, and urge it to correct its shortcomings< 5. Expected effect
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2. Cultivate students to participate in the derivation of rules and formulas, and truly clarify the calculation
3. Help students memorize common data and improve the calculation speed
4. Pay attention to the analysis of wrong cases and suit the right medicine to the case
5. Cultivate students' habit of checking calculation consciously and correcting mistakes independently
6. Cultivate students' habit of summarizing and reflecting.

2. When we use different computers to calculate pi, we will find that one computer's calculation is more accurate than the other. Or when we are playing a gunfight game, when a bullet hits the wall, a wall will peel off. The performance of the same scene on a computer may be very rigid and artificial; And on another computer, it will be very vivid, even close to what we see in reality
everything we have seen above comes from the "floating point operation function" added inside the CPU. Floating point operation ability is an important index of multimedia and 3D graphics processing related to CPU. There are only two floating-point execution units in P4, and one of them has to process FADD at the same time

3. 1、 Basic training:
from the psychological characteristics of different ages of primary school students, the basic requirements of oral arithmetic are different. Low and middle grade students mainly add one or two digits. It is better for senior students to take the one digit by two digit mental arithmetic as the basic training. The specific requirement of oral arithmetic is to multiply the number of one digit and the number of ten digits of two digits, and then add the proct of multiplying the number of one digit and the number of one digit of two digits to the three digits, and quickly say the result. In primary school, this training is a sublimation training of abstract thinking of numbers. It is very beneficial to promote the development of thinking and intelligence
Second, targeted training: the main form of the number of senior primary school students has changed from integer to score. In the operation of numbers, the addition of different denominators is the most time-consuming and error prone place for students, and it is also the key and difficult point of teaching and learning
two fractions, the large number in the denominator is the multiple of the decimal. For example, "1 / 12 + 1 / 3", in this case, oral calculation is relatively easy, the method is: the big denominator is the common denominator of two denominators, as long as the small denominator is expanded by multiple until it is the same as the big number, and the denominator is expanded by several times until it is the multiple of another denominator decimal< Third, memory training

the content of senior calculation is extensive, comprehensive and comprehensive. Some common operations are often encountered in real life. Some of these operations have no specific rules of oral arithmetic and must be solved by strengthening memory training. The main contents are as follows:
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2. The proct of the approximate value of PI 3.14 with one digit and the proct with several common numbers 12, 15, 16 and 25
3. The denominator is the decimal value of the simplest fraction of 2, 4, 5, 8, 10, 16, 20 and 25, that is, the interaction of these fractions and decimals.

4. < blockquote > when we were in primary school mathematics, we came into contact with such a symbol & mdash& mdash;& ldquo;& pi; & rdquo;， Its name is pi. It's the ratio of circumference to diameter of a circle. When we talk about PI, we will automatically come up with the following figure in our mind; 3.141592653....” Of course, ordinary people only need to remember a few decimal places behind it to apply it to daily life, but scientists are struggling to calculate the last decimal place of PI

current & PI; The decimal place of PI has reached 31 trillion. Why do scientists prefer to spend so much time on the calculation of Pi< originally, they believed that the more accurate the PI data, the more we can get insight into the mystery of the universe. Secondly, the PI is closely related to science, physics, mathematics and other disciplines, as well as the computing power of supercomputers Yes, PI also plays such a role. Supercomputers are important instruments in big countries. When they are developed, it is PI that tests their computing power. The ability of supercomputers is evaluated by the decimal places of PI, This is the consensus in the instry

The pace of science is never-ending. PI has been calculated to 31 trillion decimal places, but I believe that this record will be broken soon

5. The title of love ecation makes me think about what love is in this diverse world. With this thinking, I trudged with an Italian primary school student to explore an unknown answer. Love, like air, is always ignored by us because it is invisible every day. In fact, its meaning has been integrated into life, just like parents' love, When we are in trouble and no one supports us, it is our parents who are still with us. At night, we don't forget to tell them to go to bed early, I realize that parents all over the world have a deep love for their children. Amrico has a diary that they read and write with their parents, but now many students still have a small lock on their diary. The simplest things are most easily overlooked, just like the deep love between parents and children in this great love, which many people can't feel. If love is a travel, some people may have objections. But love has no end, Happy travel. Just like life, if we regard life as a sentence, people will do heavy work for the sake of one day's release and detachment; On the contrary, if you look at life as a tour, you will feel relaxed and enrich yourself with new things every day. Therefore, you want to go on, even put in enthusiasm, and don't care how long it will last. At this time, this feeling has been sublimated into a kind of love, a kind of love for life, I went into the life of amrico, I went into the life of amrico, and I saw how they learned, lived and loved. In the moving, I found that love contains the pursuit of life. If love is a galloping blood and a jumping heart, then I think it is a noble love for the country; Slogan & quot;, But as a person with conscience, this kind of love should be firmly embedded in our hearts. When I read the moving scenes of Italian people blowing up their legs for their country and defending their homeland, I can't help thinking that our motherland was also soaked with the blood of the Chinese people, Love is great because it is not only for indivials, but also for the dignity and emotion of the whole nation. In the ecation of love, love is compared to many things, which is true and not only these; What is love; There won't be a definite answer, but I have completed my thinking about love - love is great, infinite, great power. Doing housework for my mother this summer, the teacher left a special assignment --- to experience my parents' working life. I'm talking about summer vacation, so I can't let myself be idle. Slowly, used to do some housework, for mom and dad to share. I told my mother about my homework, and my mother also said that your teacher's idea is very good! I'll set up a job for you! And do not only once, you are teachers, a stay on the serious homework, usually do not do. You're going to give me a summer vacation this time. The first is to mop the floor. Just mop it twice. My mother didn't think this job had much weight, so I got an extra job - washing dishes. I will show my hands in the kitchen, and I will take the initiative to wash my parents' feet. I like washing dishes best. Just out of the pot of food on the plate is delicious, and we finished eating, leftovers piled up in the pool, is the resie. The next day when washing dishes, it may be not adapt to it, leftovers taste particularly bad. For this reason, I wear plastic gloves to wash the dishes, and the dishes are full of oil stains. There are also some leftovers lying lazily on the plate and thrown into the garbage can, which makes people cover their nose. I'm just looking forward to it. Wash it quickly. It looks clean on the surface. With such a reluctant mood, I washed the water once or twice. Slowly, I accepted the smell and didn't feel bad. I don't need gloves when I wash the dishes. I'm just imagining that I'm going to bathe the bowls and plates, remove the stains from them, and put on a brand new and clean look. My hands itch when I see my mother cooking. I said to my mother, "let me help you cook today." Then he rolled up his sleeve and washed his hands. I first pour the rice into a small bowl, then pour it into the pot, twist the water tap, connect a small half, and start to wash the rice by hand. After washing the rice three times like this, I pour the water, and then put the rice on the fire to make the water less than one centimeter. At this time, I began to cook. What do I do? By the way, make fish flavored shredded pork! My mother helped me prepare the carrots and asparagus, and also helped me find a small knife. I began to cut the carrots. First, I cut them into pieces, and then cut the carrots into two pieces. The same is true for asparagus and shredded meat. But the shredded meat is a little difficult to cut. When it's all ready, it's time to do it, Pour a little oil, then put the sauce in, stir fry twice, and then put the shredded meat in, stir fry twice, accidentally, my hand touched the pot, I immediately cried with pain, my mother quickly took the shovel, let me use cold water to wash my hands, I thought: cooking this thing looks very common, it is not easy to do it! This reminds me of one thing that happened last week... Last Sunday, our family had dinner early. My mother, who had been tired all day, began to wash the dishes according to the original plan. So I made up my mind to realize this wish today. Just when my mother was still washing her teeth, I had prepared a basin of hot water full of love for her early. I quietly went to her mother and said happily, "Mom, let me wash your feet today and do my filial ty.". Mother felt very confused after listening, said: "daughter, how did you suddenly grow up today and learn to be filial to your parents.". I said: "Mom, this is the result of Teacher Ecation in school. You helped me to do a lot of things before. Today it's my turn to repay you.". After listening to her mother, she said with a smile: "daughter, if you have this filial piety, your mother will be satisfied. You'd better try to do well in your study. That's the best reward for your mother.". I said, "no, I have to wash your feet myself today.". My mother saw that I was very tough and had to comply. I put down the basin, put my hand into the water, measure the temperature of the water to see if it is suitable for washing feet, feel a little hot, I added some cold water. Then help her take off her socks and start to work. From the front of her feet to the back of her feet, from the back of her feet to the soles of her feet, I gently rubbed her feet and found that there was a thick cocoon on the soles of her feet. I knew that she worked too hard for me, and I admired my mother more. After a while, I washed her feet clean, mother smile, "this is the first time I met this kind of happiness.". I immediately replied, "Mom, when I grow up, I will do more for you." In this holiday, I did a lot of housework, which proved that I grew up and learned to do housework. Although I have been exhausted, but can do housework for my mother, my heart is still sweet. O(∩_ ∩) O ha ha ~ come on! Books are the treasure house of knowledge. It makes the accumulation and development of human knowledge and culture, and makes the ignorant become erudite; It is it that constantly enriches my mind and brings infinite joy and hope to my life. When I didn't even know a word, I had an indissoluble bond with the book. When I was very young, like other children, I liked to hear my mother telling stories for me with storybooks. Unlike others, I always listen to every story three or four times before I give up. In the kindergarten, the teacher accidentally found that I could tell stories, so he took out a story book for me to read to the children. Just when the teacher was surprised that I could know so many words, she suddenly found that I had taken the book upside down and was staring at it. It turns out that these stories have been "heard" and "recited" since I was a child. With the increase of word recognition, I can finally read by myself. What a happy thing it is! Every time I was alone in a room, with delicious food, I was intoxicated with excellent works, and lost myself in the pages. That kind of happiness was incomparable to any other feeling at that time&# 57348; I'm intoxicated with literature. From 365 nights to Andersen's fairy tales, so many moving stories and kind-hearted images together shape my simple and optimistic character. From red rock to how steel is tempered, I graally realize the meaning of life and find the end result of my soul in those thousand times of indomitable struggle and countless iron soldiers“ The experience of "San Mao" makes me feel more happy in my life, and the allusion of "head hanging beam, cone stabbing stock" always urges me forward&# 57348; Graally, my interest turned to science books. From the first set of Knowledge Series "one hundred thousand whys" I came into contact with, I don't know how many mysteries I have solved and how many fresh knowledge I have learned. The next reading of "network book", "interesting physics" and so on, I can't help but put down my mind and forget to eat and sleep. It should be said that I would never have been so interested in natural science today if I hadn't read eagerly year after year and day after day&# 57348; Books are my closest friends. They give me knowledge and strength. Today, I roam in the sea of books and learning, tomorrow, I will use knowledge to create life. All this, how can we not say that it is the gift of the book - this is the accident between me and the book. Book, what a simple and ordinary eye! However, it occupies a very high position in my mind. In the long river of my memory, there are always "the story of books" in my mind. I have an indissoluble bond with books. Whenever I hold up a book with a book cover, I can't help thinking of the past... How important books are to me! If I believe that life is the first, then books must be second only to life one - ranking second. I used to cry for the book, sad for the book, that may be my attachment to the book. Whenever I look at a book "retirement", I feel extremely sad, it's like digging half of my flesh. I carefully hide the book in the bookcase, I can't bear to dig out my own flesh? From the first time I saw her, there was an inexplicable feeling in my heart: "she was predestined with me." In the days after that, I would try my best to get close to her and try to understand her. After a short time, I graally found that I had fallen in love with her deeply. Perhaps tired of the bitter and tasteless ABC, or to escape the suffocating x + y = 4, I asked her out again and again, from her fragrant title page, to a strange and fresh world. Don't be "there's gold in the book"

6. The concept of bitcoin was first proposed by Nakamoto in 2009. According to Nakamoto's idea, open source software was designed and released, and P2P network was built on it. Bitcoin is a kind of P2P digital currency. Point to point transmission means a decentralized payment system
blockchain is the underlying technology of bitcoin. It is a new application mode of distributed data storage, point-to-point transmission, consensus mechanism, encryption algorithm and other computer technologies. The so-called consensus mechanism is a mathematical algorithm to establish trust and obtain interests between different nodes in the blockchain system
ICO (initial
coin
offering) is an IPO concept originated from the stock market. It is the behavior of blockchain project to issue token for the first time and raise bitcoin, Ethereum and other common digital currencies
the above is the answer of Heshu Software Co., Ltd. if it is helpful, please adopt it.

7. In fact, any problem can be overcome.
I think you can find some problems.
it must be problems with complex process and complicated calculation (such as the last step of Mathematics)
it is best to provide reference answers, Then you work on the draft paper step by step
until you match the standard answer
make a plan for yourself
for example, do a question one night
secondly, I think you should be calm when doing the question
sometimes say to yourself
write down step by step
don't worry
try to write clearly on the draft paper
finally
you can also do it Think about the mistakes you made in the past.
to sum up,
at least pay attention to this in the future.
finally, I wish you success in the college entrance examination.
after all, I don't think you should be too nervous about the college entrance examination.
as long as you do it step by step,
no matter how simple or difficult the test paper is,
you should have a good attitude.
you will definitely have a good score uck

8.

I believe my friends are familiar with PI. It is the first infinite non circulating decimal that we come into contact with after school. Even a primary school student knows that PI can not be calculated completely. When the teacher teaches the students, he will also tell them that this number can not be calculated completely

however, science is constantly creating miracles, constantly making things that people thought impossible possible. Many of the impossibilities in the eyes of the predecessors have now become possible. So the PI may be an incalculable number in the current scientific community, but whether it will be infinite in the future may be an unknown number. So someone asked this question: if the PI is exhausted one day, what kind of earthquake will the scientific community cause

However powerful supercomputers are, it is impossible for human beings to calculate pi completely. Only when the digital world of human beings ushers in a subversive leap and enters a higher level digital system, can we calculate pi completely through new mathematical algorithms