Масъул муҳаррир: Файзиев Шохруд Фармонович, ю ф. д., доцент
LEARNING ABOUT HOW TO BE GENIUS AT MATHEMATICS
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17.Fizika-matematika
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LEARNING ABOUT HOW TO BE GENIUS AT MATHEMATICS Fergana polytechnics institute - Tillabaev B.Sh. gmail: boburtillabayev@gmail.com tel:+998905851141 ANNOTATION: In this article, you may know about learning about how to be genius at mathematics. Also history of mental math, how to learn it. You can find out some questions such as why some people do not like math and why they do not try to move like that. Keys words. Secrets of mental math, quick tricks, mental addition and subtraction, basic multiplication, mental division, memorizing numbers. As you know, Mathematics is a wonderful, elegant and exceedingly useful language. It has its own vocabulary and syntax, its own verbs, nouns and modifiers and its own dialects and patois. It is used brilliantly by some, poorly by others. Some of us fear to pursue its more esoteric uses, while a few of us wield it like a sword to attack and conquer income tax forms or masses of data that resist the less courageous. This article does not guarantee to turn you into a Leibniz or put you on stage as a Professor Algebra but it will, I hope bring you a new, exciting and even entertaining view of what can be done with that wonderful invention –numbers. From my every day observation and experience, many people say they hate mathematics. But I don’t think so, they think they hate mathematics. It is not really math they hate; they hate failure. If you continually fail at mathematics, you will hate it. No one likes to fail. If you are good at math, people think you are smart. People will treat you like you are a genius. Your teachers and your friends will treat you differently. You will even think differently about yourself. I am going to write you with this article , not only what to do but how to do. You can be mathematical genius. You have the ability to perform lighting calculations in your head that will astonish your friends, your family and your teachers. How would you like to be able to multiply big numbers or do long division in your head? While the other kids are writing the problems down in their books, you are already calling out the answer. The kids (and adults) who are geniuses at mathematics do not have better brain than you—they have better methods. In fact, we don’t think the same way and we don’t all learn the same way. When I was teacher’s college, one teacher told me that if 70 percentage of my students to understand. They don’t all think and learn the same way. I have to find others ways of explaining so that the other 30 percentage will understand as well. The same principle applies to learning from books. A book usually has one explanation for each principle taught. If the explanation doesn’t suit the way you think or make sense to you, you are inclined to think it is “all above my head”. I am not smart enough. You would be wrong. You need a different explanation. If you are trying to learn something from a book, try several. If you are assigned textbook does the job, that’s great. If you can’t understand something, don’t think you are not smart enough; try another book with a different explanation. Find a friend who understands it and ask your friend to explain it to you. Look for other books in second-hand bookshops, ask older students for their old books, or go to your library and ask for books on the subject. Often, a library book is easier to understand because it is not written as a textbook. Everyone has been told at one time they are stupid-but that doesn’t make it true. We all do stupid things, even Einstein did stupid things, but he wasn’t a stupid person. But people make the mistake of thinking that this means they are no smart. This is not true; highly intelligent people do stupid things and make stupid mistakes. I am going to show you how to become a mathematical genius. When I teach mathematics and related subjects, I always read the explanation given in several books so that I can find ideas for different ways to teach it in the classroom. Also, when I am teaching a procedure in math, physics or electronics. I do all calculations aloud, with all of my thinking out loud so everyone understands not only what I am doing, but also how I am doing it. I ask my students to do the same so we can follow what is going on inside their heads. In my personal view, I like to think about the first humans, the people who came up with the idea to count things. They must have noticed right away that figuring on your fingertips works 26 17 great. Perhaps Og ( a typical ancient cave guy) or one of his pals or associates said, “There are one, two, three, four, five of us here, so we need five pieces of fruit.” Later, “Hey, look,” someone must have said “you can count the number of people at the campfire , the number of birds on a tree, stones in a row, logs for a fire or grapes in a bunch, just with your fingers.” It was a great start. It’s probably also how you came to first know numbers. You have probably heard that math is the language of science, or the language of Nature is mathematics. Well, it is true. The more we understand the universe, the more discover its mathematical connections. Flowers have spirals that line up with a special sequence of numbers (called Fibonacci numbers) that you can understand and generate yourself. Seashells from in perfect mathematical curves (logarithmic spirals) that come from a chemical balance. Star clusters tug on one another in a mathematical dance that we c n observe and understand from millions and even billions of kilometers away. We have spent centuries discovering the mathematical nature of Nature. With each discovery, someone had to go through the math and make sure the numbers were right. Well, secrets of Mental math can help you handle all kind of numbers. There is more to Secrets than just figuring. You can learn to take a day, month, and year, then compute what day of the week it was or will be. It’s fantastic, almost magical, to be able to tell someone what day of the week she or he was born. But, it’s really something to be able to figure that the United States had its first big Fourth of July on a Thursday in 1776. April 15, 1912, the day the Titanic sank, was on Monday. The first human to walk on the Moon set foot there on July 20, 1969 a Sunday. You will probably never forget that the United States was attacked by terrorists on September 11, 2001. With Secrets of Mental Math, you’ll always be able to show it was a Tuesday. There are relationships in Nature that numbers describe better than any other way we know. There are simple numbers that you can count on your hands: one, two three and on up. But there are also an infinite number of numbers in between. There are fractions. There are numbers never end. They get as big as you want and so small that they’re hard to imagine. You can know them with Secrets of Mental Math. You can have even these in-between numbers come so quickly to your mind that you’ll have a bit more space in your brain to think about why our world works this way. One way or another, this article helps you see that in Nature, it all adds up. Now I am going to show some tricks here . Firstly, as you probably know, the square of a number is a number multiplied by itself. For example, the square of 7 id 7*7=49. Later I will show you a simple method that will enable you to easily calculate the square of any two-digits (or higher) number. That method is especially simple when the number ends in 5, so let’s do that trick now. 1. The answer begins by multiplying the first digit by next higher digit. 2. The answer ends 25. For instance, to square the number 45, we simply multiply the first digit (3) by the next higher digit (4), then attach 35. Since 4*5=20, the answer is 2025. Therefore , 45*45=2025. Our steps illustrated this way: 45 *45 4*5=20 5*5= 25 Answer is: 2025 How about the square of 75? Since 7*8=56, we immediately get 75*75=5625 We can use a similar trick when multiplying two-digit numbers with the same first digit and second digits that sum to 10. The answer begins the same way that it did before ( the first digit multiplied by the next higher digit), followed by the product of the second digits. For example, let’s try 83*87. ( both numbers begin 8, and the last digits sum to 3+7=10.) Since 8*9=72, and 3*7=21, the answer is 7221. Remember that to use this method, the first digits have to be the same, and the last digits must sum to 10. Thus, we can use this method to instantly determine that 31*39=1209, 32*38=1216, 33*37=1221, 34*36=1224, 35*35=1225. You may ask, “What if the last digits do not sum to ten? Can we use this method to multiply twenty-two and twenty-three?” Well, not yet. I will show you an easy way to do problems like using the close-together 27 17 method. ( For 22*23, you would do 20*25 plus 2*3, to get 500+6=506.) In conclusion, Many people are convinced that lighting calculators are prodigiously gifted. May be I was born with some curiosity about how things work, whether it be a math problem or a magic trick. But I am convinced , based on many years of learning experience , that rapid math is a skill that anyone can learn. And like worthwhile skill, it takes practice and dedication if you wish to become an expert. But to achieve these results efficiently , it is important that you practice the right way. Literatures: 1. A. Benjamin , M. Shermer “Secrets of mental math” New York in 2006 2. B. Handley “Speed math for kids” Australia in 2005 |
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