Man is a thick fraction. Essay on the saying of L.N. Tolstoy Essay, a man is like a fraction
Essay based on the saying of Leo Tolstoy and received the best answer
Answer from Valentine Aquarius[guru]
1) The great Russian writer L. N. Tolstoy said: “A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself.” Thus, it can be said that Tolstoy developed a "formula" for denoting human character.
ka with a fraction forces himself to think about what a person should be like.
The larger the denominator, the smaller the fraction. We know this from mathematics. But I think the numerator and denominator should match. ,
Answer from Grigory Moiseenkov[active]
xs
Answer from Murat Rimbaev[newbie]
he is right
Answer from Yunzala Musaeva[newbie]
don't know
Answer from Old Man of Your Moms[newbie]
From mathematics, we know that if the denominator is equal to the numerator, then there will be one. But we also know that the denominator should not be equal to zero, since the whole fraction will not make sense. Also, the larger the denominator, the smaller the fraction. From here you can lead your reasoning.
Highly a rare event when the "denominator" is equal to the "numerator", that is, the opinions of others do not always coincide with their self-esteem.
From childhood, a parent taught us that it is bad to love oneself, that a decent person should think about others first, and then about himself. You have to be selfless and help people. Yes, all this is certainly correct, but ... I believe that everyone should love and respect themselves. It is simply necessary to maintain self-esteem. But you have to love yourself in moderation. If a person thinks only of himself, then he is an egoist. A person should love himself, but think about the feelings of others.
There is such a thing as self-esteem. Self-esteem is an assessment by a person of himself, his capabilities, qualities and place among other people, of course, it refers to the unallocated qualities of a person. It is she who largely determines the relationship with others, criticality, exactingness towards oneself, attitudes towards success and failure. A person, of course, must have self-esteem in moderation. That is, one should not exalt oneself above others, but one should not underestimate oneself either.
A person must be strong, which means confident, and in order to be confident, you never have to think about what others think of you.
2) A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself.
I fully agree with the statement of LN Tolstoy. The numerator of a person is his virtues, skills, abilities, and in general everything about what he can do. The numerator, this is a comparison with others, is the dignity of a person; the denominator is the person's assessment of himself. It is not in the power of man to increase his numerator - his own merits, but everyone can decrease his denominator - his opinion of himself, and by this decrease he will come closer to perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. By this, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and virtues. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged personality. The main thing is not to be arrogant. Do not say that you can do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not perfection, but zero. He becomes proud, arrogant zero, not perfecting himself, while those who, silently and constantly saying about themselves "This is not enough, I know little and do not know how well" become masters of their craft. Over time, people around notice this, they begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, increasing his skill every day. Tolstoy is a genius. He described the man so accurately, there are no direct words. I have nothing more to add to this statement.
3) The great Russian writer Leo Tolstoy wrote: “A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself”
I realized that the numerator is what people around see in a person, that is, his upbringing. And the denominator is a person's assessment of himself. This is an amazing comparison
Answer from Alena anikeeva[newbie]
1) The great Russian writer L. N. Tolstoy said: “A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself.” Thus, it can be said that Tolstoy developed a "formula" for denoting human character.
From mathematics, we know that if the denominator is equal to the numerator, then there will be one. But we also know that the denominator should not be equal to zero, since the whole fraction will not make sense. Also, the larger the denominator, the smaller the fraction. From here you can lead your reasoning.
A very rare occurrence when the "denominator" is equal to the "numerator", that is, the opinions of others do not always coincide with their self-esteem.
From childhood, a parent taught us that it is bad to love oneself, that a decent person should think about others first, and then about himself. You have to be selfless and help people. Yes, all this is certainly correct, but ... I believe that everyone should love and respect themselves. It is simply necessary to maintain self-esteem. But you have to love yourself in moderation. If a person thinks only of himself, then he is an egoist. A person should love himself, but think about the feelings of others.
There is such a thing as self-esteem. Self-esteem is an assessment by a person of himself, his capabilities, qualities and place among other people, of course, it refers to the unallocated qualities of a person. It is she who largely determines the relationship with others, criticality, exactingness towards oneself, attitudes towards success and failure. A person, of course, must have self-esteem in moderation. That is, one should not exalt oneself above others, but one should not underestimate oneself either.
A person must be strong, which means confident, and in order to be confident, you never have to think about what others think of you.
2) A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself.
I fully agree with the statement of LN Tolstoy. The numerator of a person is his virtues, skills, abilities, and in general everything about what he can do. The numerator, this is a comparison with others, is the dignity of a person; the denominator is the person's assessment of himself. It is not in the power of man to increase his numerator - his own merits, but everyone can decrease his denominator - his opinion of himself, and by this decrease he will come closer to perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. By this, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and virtues. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged personality. The main thing is not to be arrogant. Do not say that you can do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not perfection, but zero. He becomes proud, arrogant zero, not perfecting himself, while those who, silently and constantly saying about themselves "This is not enough, I know little and do not know how well" become masters of their craft. Over time, people around notice this, they begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, increasing his skill every day. Tolstoy is a genius. He described the man so accurately, there are no direct words. I have nothing more to add to this statement.
3) The great Russian writer Leo Tolstoy wrote: “A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself”
I realized that the numerator is what people around see in a person, that is, his upbringing. And the denominator is a person's assessment of himself. This is an amazing comparison
“A person is like a fraction, the numerator of which is what a person is, and the denominator is what he thinks of himself. The more a person thinks about himself, the greater the denominator, and therefore the smaller the fraction "L. N. Tolstoy
Let's do it orally 2. Name ordinary fractions in the form. decimal: : a) ; b) ; in) ; d) 3. Calculate: a) + 0.15 b) 0.3 4. Express meters in centimeters: a) m = ... cm b) m = ... cm
Perform orally 5. Replace the sum with the product. . a) 2+2+2+2 b) + + c) a+ a + a 6. Replace the product with the sum. a) 6 ∙ 2 b) ∙ 5 c) b ∙ 3
Task 1. A turtle crawls m in 1 minute. What distance will it cover in 4 minutes. ?
The doctrine of fractions has always been considered difficult. The Germans have preserved the proverb: "GET INTO THE SHOT" What do you think it means? Get into a difficult, difficult situation.
2 A turtle crawls m in 1 minute. 9 How far will it cover in 4 minutes? 1 m 2 9 4= 2 9 + 2 9 4= = 2+2+2+2 9 2 4 9 = 8 9
To multiply a fraction by a natural number, you need to multiply its numerator by this number, and leave the denominator the same. a b m= a m b
Find the product 1) ∙ 3; ∙ 6; ∙ 5; 2) 5 ∙ ; 1 ∙ ; 0 ∙ ; 3) ∙ 36; 12∙; 12∙
Question. Isn't it possible to shorten first, and then write down the answer? 7 12 . 36 = 7 ∙ 36 12 1 3 = 21
Find the mistake 1. Find the work: 1. A); B); AT) . 2. Find the work: A); B); AT) .
Math dictation Test yourself: Option 1 1. 2 3 17 2. 2 3 3. 3 8 4. 2 53 5. 3 13 5 4 8 2 = 6 17 = 10 3 = 3 2 = 16 53 = 6 13 2 option 1. =3 1 3 =1 1 2 3 4 13 2. 2 5 3. 5 3 12 4. 2 41 9 5. 3 7 2 7 = 12 13 = 14 5 = 5 4 = 18 41 = 6 7 =2 4 5 =1 1 4
In my work, when going through the topic of a fraction in the 6th grade, I suggest that children write an essay on the topic "Man is a fraction." Students are surprised. How? Write an essay in mathematics. At the same time, I give this task to high school students. I read these mini-essays with pleasure.
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Man is a fraction
The work was completed by: Umyarova R.A., teacher of mathematics, MBOU-Starokulatkinskaya secondary school No. 1 r.p. Staraya Kulatka, Ulyanovsk Region
Goals Educate in children positive traits; Striving for self-improvement, self-affirmation, self-education; Ability to balance skills and abilities
For several years, in my work, I have been suggesting that children write an essay on the topic “Man is a fraction” according to L.N. Tolstoy Students are surprised: how? Can I write an essay in math? But a lot of guys write their thoughts so well that adults won't write like that. Moreover, I give this task to students of different ages, i.e. 5-7 grades and 11 grade. Rereading the essay, I decided to make a presentation.
Already in the early days of Tolstoy's work, he came to the idea that a living human character is a complex combination of various, often contradictory features and qualities. And, observing the multiplicity of such combinations, Tolstoy tried to find a "formula" for their designation. A living human character seemed to him a fraction, in the numerator of which the writer put the dignity and virtues of a person (his “advantages”), and in the denominator - his shortcomings, the main of which he considered self-conceit. The larger the denominator, the smaller the fraction, of course, and vice versa: with a smaller denominator, the fraction that expresses the real “value” of a person, his moral value, rises. A person is like a fraction: in the denominator - what he thinks about himself, in the numerator - what he really is. The larger the denominator, the smaller the fraction. (L.N. Tolstoy) Success Self-respect = ------ Claims
L. N. Tolstoy said: “A person is a fraction whose numerator is what a person is, and the denominator is what he thinks about himself.” I think that the more correctly and adequately you evaluate yourself, the closer the numerator and denominator, that is, you strive for the whole, the surrounding world, with society. Bulkhin Rafael Grade 6
Who you imagine yourself to be in life and who you are in life do not always match. In most cases, the fraction is incorrect, since a person is not characterized by self-criticism and he most often overestimates his capabilities, increasing the denominator of the fraction, and the small numerator is explained by external factors and a combination of circumstances: “Yes, I am so beautiful, hardworking, but I am underestimated, there are enemies and detractors." The ideal indicator would be one, that is, the coincidence of self-image and reality, or a fraction, an equal numerator and denominator, but this is not typical of a person. Ismail Maryam Grade 7
Each person has his own character and his own self-esteem. Some people have high self-esteem, which is not a very good character trait. In this case, the true face of a person is lost. According to the rules of mathematics, the larger the denominator and the difference between the numbers in the fraction of the numerator and denominator, the smaller the final number. For example: which is greater than 2/3 or 2/7? Of course, 2/3 is greater than 2/7. Returning to the statement of L. N. Tolstoy, if a person thinks about himself and has the same conceit as in character, people will appreciate him. For example: one of my acquaintances sometimes wants to seem smarter than she really is, and then it turns out that she is a braggart. This is a bad quality in a person. You have to try to think of yourself, too, what you are. You should not praise yourself in front of others, let others appreciate your character and praise you. Safarova Aisylu Grade 7
According to Tolstoy, a person is a fraction. If the numerator is greater than the denominator in this fraction, then there is a good, active, smart, kind person, but he thinks to himself that he is stupid, evil, passive. This person has low self-esteem, he will oppress himself with this. If the denominator is greater than the numerator, this person will praise himself, without representing anything by himself. This person has high self-esteem, and he thinks good about himself, for example, the donkey from Krylov's fable "The Donkey and the Nightingale". I would choose as a friend the person whose numerator and denominator are equal, that is, the person who represents what he thinks of himself. Ablyazova Regina Grade 7
“A person is a fraction in which the numerator is what the person is, and the denominator is what he thinks of himself.” This is how I understand this statement. For example, it happens that a person thinks of himself better than he represents himself. It also happens that he has a less high opinion of himself, but he himself is much better. They say about such people: a person with low self-esteem, although his opportunities and dignity are high. This is bad. Once a friend of mine boasted that he could easily beat any two guys in football, and when we decided to check it out, it turned out that my friend overestimated himself and lost. Therefore, I came to the conclusion that there are few fractions with the same numerators and denominators. Bashirov Lenar Grade 7
The great Russian writer L.N. Tolstoy said: “A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself.” Thus, it can be said that Tolstoy developed a "formula" for denoting human character. From mathematics, we know that if the denominator is equal to the numerator, then there will be one. But we also know that the denominator should not be equal to zero, since the whole fraction will not make sense. Also, the larger the denominator, the smaller the fraction. From here you can lead your reasoning. It is a very rare occurrence when the "denominator" is equal to the "numerator", that is, the opinions of others do not always coincide with their self-esteem. From childhood, a parent taught us that it is bad to love oneself, that a decent person should think about others first, and then about himself. You have to be selfless and help people. Yes, all this is certainly correct, but ... I believe that everyone should love and respect themselves. It is simply necessary to maintain self-esteem. But you have to love yourself in moderation. If a person thinks only of himself, then he is an egoist. A person should love himself, but think about the feelings of others. There is such a thing as self-esteem. Self-esteem is an assessment by a person of himself, his capabilities, qualities and place among other people, of course, it refers to the unallocated qualities of a person. It is she who largely determines the relationship with others, criticality, exactingness towards oneself, attitudes towards success and failure. A person, of course, must have self-esteem in moderation. That is, one should not exalt oneself above others, but one should not underestimate oneself either. A person must be strong, which means confident, and in order to be confident, you never have to think about what others think of you. Shafieva Elmira Grade 11
“A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks about himself.” Immediately after reading this aphorism, you think, what does the fraction have to do with it, what does the person have to do with it. But if you delve into the statement, if you think about it, then so many thoughts come to your head that it is difficult to get out of them. So, a fraction is a decomposed number, the modulus of which is written as m / n, where m, n integers, and m is called the numerator of the fraction, and n is the denominator. A fraction can be correct - an ordinary fraction, in which the numerator is less than the denominator. Consequently, there are people who represent "little", but think of themselves as "a lot". But for some reason they are referred to as proper fractions. This means that a person always thinks well of himself. I think Tolstoy “when he wrote this statement, he knew a lot about fractions. The fraction can also be wrong. This means that their numerator is greater than the denominator, that is, it represents more than he thinks about himself. If the numerator and denominator are equal in a fraction, then it is no longer a fraction, but an integer. This means that there cannot be a person in whom all qualities are equal. Also, a property of a fraction: the denominator must not be equal to zero! Thus, we come to the conclusion that there are no people who do not think about themselves, who do not have self-esteem. You can not do it this way! This should not be! I think that a person himself has the right to choose which “fraction” he should be “correct” or “incorrect”. But the point is that the difference between the numerator and denominator should not be large. If the "numerator" is equal to zero, then the "fraction" will not carry any meaning. A person must represent something. And he can think about himself whatever he wants, but! cannot be recognized. Abdyukova A.R., 11th grade
In mathematics, a fraction is a part of something. It consists of a numerator and a denominator. And even great people respected this mathematical expression. So L.N. Tolstoy wrote: “A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself.” The larger the denominator, the smaller the fraction. In fact, we often overestimate ourselves in front of others. But true - only if you take into account the opinion of others about yourself. Mathematics is an exact science, so people should strive to increase the numerator, and this will increase the fraction as a whole. Uzbekova A. 6th grade
There are billions of people on planet Earth. I think, on the one hand, a person is one whole, without fractions. For example, there are people whose character is even, calm, balanced. He is hardworking, fair, lives honestly. He is respected and appreciated. I think it has the same numerator and denominator. This is the whole. On the other hand, L.N. Tolstoy correctly noted that: “A person is a fraction, in which the numerator is what a person is, and the denominator is what he thinks of himself” Because people are never the same. Each person has his own character, which consists of a numerator and a denominator. Some have a very high opinion of themselves, but people rate them low in deeds and deeds. Others are the opposite. Based on this, I think a person is a fraction. Rakhmatullina L., 7th grade
A person is a fraction whose numerator is what the person is, and the denominator is what he thinks of himself. I fully agree with the statement of Leo Tolstoy. The numerator of a person is his virtues, skills, abilities, and in general everything about what he can do. The numerator, this is a comparison with others, is the dignity of a person; the denominator is the person's assessment of himself. It is not in the power of man to increase his numerator - his own merits, but everyone can decrease his denominator - his opinion of himself, and by this decrease he will come closer to perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. By this, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and virtues. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged personality. The main thing is not to be arrogant. Do not say that you can do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not perfection, but zero. He becomes proud, arrogant zero, not perfecting himself, while those who, silently and constantly saying about themselves "This is not enough, I know little and do not know how well" become masters of their craft. Over time, people around notice this, they begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, increasing his skill every day. Tolstoy is a genius. He described the man so accurately, there are no direct words. I have nothing more to add to this statement. Yagudin I. 11th grade
A living human character is a complex combination of various, often contradictory features and qualities. And, observing the multiplicity of such combinations, the writer Leo Nikolayevich Tolstoy tries to find a "formula" for their designation. A living human character seemed to him a fraction, in the numerator of which the writer put the merits and advantages of a person, and in the denominator - his shortcomings, the main of which he considered self-conceit. The larger the denominator, the smaller the fraction, of course, and vice versa: with a smaller denominator, the fraction that expresses the real “value” of a person, his moral value, rises. In my statement, L.N. Tolstoy touched upon the mathematical definition. Maths - exact science. It teaches logical thinking, analysis and precise definition. After all, man is a whole, personal, rational being. There are so many thoughts and dreams about himself in his head that no one will ever know. In life, he will not be able to carry out everything that he thinks about himself. Many years ago, the American psychologist Williams James also derived a formula according to which a person's self-esteem can be represented as a fraction, the numerator of which is his real achievements, and the denominator is his ambitions and claims. In other words, the most reliable way to increase self-esteem is, on the one hand, not to complete your claims, on the other, to add real tangible successes. "... Best person- it's not only significant person but also with good self-esteem. These are the people who usually succeed. Self-esteem gives confidence in oneself, and what he is, further promotes this person. It's like a locomotive going forward. And he reaches the goal! I believe that it is always necessary to do so in order to have a fraction equal to one in your own and other people's eyes. But fractions are different, which means that there are many different people in the world. Mukminova A. 11th grade
The great Russian writer Leo Tolstoy wrote: “A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself.” I realized that the numerator is what people around see in a person, then is his upbringing. And the denominator is a person's assessment of himself. This amazing comparison of a person with a fraction makes one think about what a person should be like. The larger the denominator, the smaller the fraction. We know this from mathematics. But I think the numerator and denominator should match. You always need to do so that in your own and in the eyes of others to be the same. Recently, in a mathematics lesson, we went through the topic “Fraction”. There we studied proper and improper fractions. It can be concluded that an improper fraction is a person for whom the opinion of others is more important than he thinks about himself, and a correct one is a person who overestimates himself. Kurmasheva Elnara, Grade 7
The great Russian writer Leo Nikolayevich Tolstoy said: “A person is a fraction whose numerator is what the person is, and the denominator is what he thinks of himself.” I believe that he is right and I will try to prove it ... If a person is more than he thinks of himself, that is, he underestimates (in the best sense of the word) himself, then a person is able to improve and achieve something completely great. Let's do the same with math. In the considered case, the numerator is greater than the denominator, the fraction will be greater than one. (Consider fractions with negative value we will not, since the value must be greater than or equal to zero) If a person is less than he thinks about himself, that is, he is arrogant, then, accordingly, the value of the fraction will be less than one. Let's consider one more case when someone represents nothing in total, that is, the numerator is equal to zero. Then, so that he does not think about himself, no matter who he considers himself to be, he will still remain nothing, exactly like the value of a fraction whose numerator is zero. There is another type of people who think that they have achieved nothing in this life (the exception is midlife crisis), that is, they are zeros of the denominator of a fraction. In this case, it is impossible to divide by zero and the value of the fraction does not exist, just as there is no person as a person. From the foregoing, we can conclude ... It is necessary that the fraction be greater than or equal to one. And a fraction is equal to one if and only if its numerator and denominator are equal, that is, when a person thinks about himself what he is. For me, it is more acceptable when the denominator of the fraction is greater than one, because it is in this case that a person is able to improve more. As Socrates said: “I only know that I know nothing” Timushev I.
“A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself,” I completely agree with this statement. Man is a fraction. But sometimes either the numerator is greater than the denominator, or vice versa. Sometimes they are the same. Of course, each person represents something. Sometimes you walk, look at passers-by, and you think that each of them is a separate person, individuality, and everyone thinks differently about himself. Everyone represents what he has inside. Nowadays, many look at the appearance of a person, at his connections, and not at his inner world. This is a mistake, first of all, you need to get to know a person better, without opening up at the first meeting. It is necessary to study his character, his view of some things, if possible, against him in some situations. After all, it is not for nothing that they say: “Trust, but verify.” Opinion about yourself is completely different. People tend to talk about themselves good opinion. Someone has high self-esteem, someone has the opposite. I believe that every person is what he thinks of himself. In the period of time called life, everything awaits us: joys and sorrows, difficulties and good luck, love and breaks, victories and defeats ... Everyone lives their life according to their own concepts. In any situation, first of all, self-confidence, self-esteem of a person is important. A person is a fraction, and I think both the numerator and denominator should be the same. Khabibullina A. Grade 11
We live in a society among individuals. Each of us is different in our own way. And whether you become a person or some kind of “Mr. from San Francisco”, the hero of Bunin’s work, depends on you. The futurist Igor Severyanin had high self-esteem, he called himself a genius, although he was a simple writer, but deeply understanding the surrounding society, the indifference of some people towards others. Not every talented person, statesman, can have a high opinion of himself. They strive to gain even more skills and knowledge. There are many kinds of fractions in mathematics, as well as people all over the globe. Each person chooses his own way to develop and subsequent stay in society. Some people listen to the opinions of others, to their advice. Climbing the career ladder, do not forget old friends. In contrast to them, there is a second type of people. These are self-confident people, they do not take into account the opinions of others, considering many to be secondary. Conclusion: they represent more than their own self-esteem. This fraction can be represented as a whole number. That is, these people have a core, in relation to people they are more friendly. The second type of people is the correct fraction. They consider themselves correct, although they are not. For example, 5/11. They are more selfish beings. They put themselves first. But in fact, in society, they are a "loner", not a sociable, proud, narcissistic person. Abdryashitova Z.Z. Grade 11
I agree with the statement of L.N. Tolstoy, because we are all different and therefore the numerators too, we think differently and therefore the denominators are also different. Judging about me, I consider myself as a whole, because I represent myself the same as I think about myself. Some people overestimate my numerator, and some people don't. But I think people should think better of me than worse. Arslanov Lenar, 6th grade
Most likely, a person is a product: The first multiplier = the amount of what he can do. The second multiplier = the amount of what works how much. If something is equal to zero, then consider that there is no person. Basically I agree with them, but how to understand the phrase "The larger the denominator, the smaller the fraction"? What did the author want to say? I think that the higher he will put himself, overestimate his own self-esteem (denominator), the lower he actually is, and what if both the numerator and the denominator are equal. This means that the person is perfect. Unfortunately, these people are hard to find. Adelshin A, 6th grade.
Literature http://bse.sci-lib.com/particle028237.html http://www.omg-mozg.ru/tolstoy.htm http://www.artvek.ru/kramskoy.html
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The work was completed by: Umyarova R.A., teacher of mathematics, MBOU-Starokulatkinskaya secondary school No. 1 r.p. Staraya Kulatka, Ulyanovsk Region
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Objectives To bring up positive qualities in children; Striving for self-improvement, self-affirmation, self-education; Ability to balance skills and abilities
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For several years, in my work, I have been suggesting that children write an essay on the topic “Man is a fraction” according to L.N. Tolstoy Students are surprised: how? Can I write an essay in math? But a lot of guys write their thoughts so well that adults won't write like that. Moreover, I give this task to students of different ages, i.e. 5-7 grades and 11 grade. Rereading the essay, I decided to make a presentation.
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Already in the early days of Tolstoy's work, he came to the idea that a living human character is a complex combination of various, often contradictory features and qualities. And, observing the multiplicity of such combinations, Tolstoy tried to find a "formula" for their designation. A living human character seemed to him a fraction, in the numerator of which the writer put the dignity and virtues of a person (his “advantages”), and in the denominator - his shortcomings, the main of which he considered self-conceit. The larger the denominator, the smaller the fraction, of course, and vice versa: with a smaller denominator, the fraction that expresses the real “value” of a person, his moral value, rises. A person is like a fraction: in the denominator - what he thinks about himself, in the numerator - what he really is. The larger the denominator, the smaller the fraction. (L.N. Tolstoy) Success Self-respect = ------ Claims
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L. N. Tolstoy said: “A person is a fraction whose numerator is what a person is, and the denominator is what he thinks about himself.” I think that the more correctly and adequately you evaluate yourself, the closer the numerator and denominator, that is, you strive for the whole, the surrounding world, with society. Bulkhin Rafael Grade 6
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Who you imagine yourself to be in life and who you are in life do not always match. In most cases, the fraction is incorrect, since a person is not characterized by self-criticism and he most often overestimates his capabilities, increasing the denominator of the fraction, and the small numerator is explained by external factors and a combination of circumstances: “Yes, I am so beautiful, hardworking, but I am underestimated, there are enemies and detractors." The ideal indicator would be one, that is, the coincidence of self-image and reality, or a fraction, an equal numerator and denominator, but this is not typical of a person. Ismail Maryam Grade 7
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Each person has his own character and his own self-esteem. Some people have high self-esteem, which is not a very good character trait. In this case, the true face of a person is lost. According to the rules of mathematics, the larger the denominator and the difference between the numbers in the fraction of the numerator and denominator, the smaller the final number. For example: which is greater than 2/3 or 2/7? Of course, 2/3 is greater than 2/7. Returning to the statement of L. N. Tolstoy, if a person thinks about himself and has the same conceit as in character, people will appreciate him. For example: one of my acquaintances sometimes wants to seem smarter than she really is, and then it turns out that she is a braggart. This is a bad quality in a person. You have to try to think of yourself, too, what you are. You should not praise yourself in front of others, let others appreciate your character and praise you. Safarova Aisylu Grade 7
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According to Tolstoy, a person is a fraction. If the numerator is greater than the denominator in this fraction, then there is a good, active, smart, kind person, but he thinks to himself that he is stupid, evil, passive. This person has low self-esteem, he will oppress himself with this. If the denominator is greater than the numerator, this person will praise himself, without representing anything by himself. This person has high self-esteem, and he thinks good about himself, for example, the donkey from Krylov's fable "The Donkey and the Nightingale". I would choose as a friend the person whose numerator and denominator are equal, that is, the person who represents what he thinks of himself. Ablyazova Regina Grade 7
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“A person is a fraction in which the numerator is what the person is, and the denominator is what he thinks of himself.” This is how I understand this statement. For example, it happens that a person thinks of himself better than he represents himself. It also happens that he has a less high opinion of himself, but he himself is much better. They say about such people: a person with low self-esteem, although his opportunities and dignity are high. This is bad. Once a friend of mine boasted that he could easily beat any two guys in football, and when we decided to check it out, it turned out that my friend overestimated himself and lost. Therefore, I came to the conclusion that there are few fractions with the same numerators and denominators. Bashirov Lenar Grade 7
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The great Russian writer L.N. Tolstoy said: “A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself.” Thus, it can be said that Tolstoy developed a "formula" for denoting human character. From mathematics, we know that if the denominator is equal to the numerator, then there will be one. But we also know that the denominator should not be equal to zero, since the whole fraction will not make sense. Also, the larger the denominator, the smaller the fraction. From here you can lead your reasoning. It is a very rare occurrence when the "denominator" is equal to the "numerator", that is, the opinions of others do not always coincide with their self-esteem. From childhood, a parent taught us that it is bad to love oneself, that a decent person should think about others first, and then about himself. You have to be selfless and help people. Yes, all this is certainly correct, but ... I believe that everyone should love and respect themselves. It is simply necessary to maintain self-esteem. But you have to love yourself in moderation. If a person thinks only of himself, then he is an egoist. A person should love himself, but think about the feelings of others. There is such a thing as self-esteem. Self-esteem is an assessment by a person of himself, his capabilities, qualities and place among other people, of course, it refers to the unallocated qualities of a person. It is she who largely determines the relationship with others, criticality, exactingness towards oneself, attitudes towards success and failure. A person, of course, must have self-esteem in moderation. That is, one should not exalt oneself above others, but one should not underestimate oneself either. A person must be strong, which means confident, and in order to be confident, you never have to think about what others think of you. Shafieva Elmira Grade 11
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“A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks about himself.” Immediately after reading this aphorism, you think, what does the fraction have to do with it, what does the person have to do with it. But if you delve into the statement, if you think about it, then so many thoughts come to your head that it is difficult to get out of them. So, a fraction is a decomposed number, the modulus of which is written as m / n, where m,n natural number, where m is called the numerator of the fraction, and n is the denominator. A fraction can be correct - an ordinary fraction, in which the numerator is less than the denominator. Consequently, there are people who represent "little", but think of themselves as "a lot". But for some reason they are referred to as proper fractions. This means that a person always thinks well of himself. I think Tolstoy “when he wrote this statement, he knew a lot about fractions. The fraction can also be wrong. This means that their numerator is greater than the denominator, that is, it represents more than he thinks about himself. If the numerator and denominator are equal in a fraction, then it is no longer a fraction, but an integer. This means that there cannot be a person in whom all qualities are equal. Also, a property of a fraction: the denominator must not be equal to zero! Thus, we come to the conclusion that there are no people who do not think about themselves, who do not have self-esteem. You can not do it this way! This should not be! I think that a person himself has the right to choose which “fraction” he should be “correct” or “incorrect”. But the point is that the difference between the numerator and denominator should not be large. If the "numerator" is equal to zero, then the "fraction" will not carry any meaning. A person must represent something. And he can think about himself whatever he wants, but! cannot be recognized. Abdyukova A.R., 11th grade
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In mathematics, a fraction is a part of something. It consists of a numerator and a denominator. And even great people respected this mathematical expression. So L.N. Tolstoy wrote: “A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself.” The larger the denominator, the smaller the fraction. In fact, we often overestimate ourselves in front of others. But true - only if you take into account the opinion of others about yourself. Mathematics is an exact science, so people should strive to increase the numerator, and this will increase the fraction as a whole. Uzbekova A. 6th grade
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There are billions of people on planet Earth. I think, on the one hand, a person is one whole, without fractions. For example, there are people whose character is even, calm, balanced. He is hardworking, fair, lives honestly. He is respected and appreciated. I think it has the same numerator and denominator. This is the whole. On the other hand, L.N. Tolstoy correctly noted that: “A person is a fraction, in which the numerator is what a person is, and the denominator is what he thinks of himself” Because people are never the same. Each person has his own character, which consists of a numerator and a denominator. Some have a very high opinion of themselves, but people rate them low in deeds and deeds. Others are the opposite. Based on this, I think a person is a fraction. Rakhmatullina L., 7th grade
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A person is a fraction whose numerator is what the person is, and the denominator is what he thinks of himself. I fully agree with the statement of Leo Tolstoy. The numerator of a person is his virtues, skills, abilities, and in general everything about what he can do. The numerator, this is a comparison with others, is the dignity of a person; the denominator is the person's assessment of himself. It is not in the power of man to increase his numerator - his own merits, but everyone can decrease his denominator - his opinion of himself, and by this decrease he will come closer to perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. By this, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and virtues. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged personality. The main thing is not to be arrogant. Do not say that you can do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not perfection, but zero. He becomes proud, arrogant zero, not perfecting himself, while those who, silently and constantly saying about themselves "This is not enough, I know little and do not know how well" become masters of their craft. Over time, people around notice this, they begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, increasing his skill every day. Tolstoy is a genius. He described the man so accurately, there are no direct words. I have nothing more to add to this statement. 11 cells Yagudin I. 11th grade
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A living human character is a complex combination of various, often contradictory features and qualities. And, observing the multiplicity of such combinations, the writer Leo Nikolayevich Tolstoy tries to find a "formula" for their designation. A living human character seemed to him a fraction, in the numerator of which the writer put the merits and advantages of a person, and in the denominator - his shortcomings, the main of which he considered self-conceit. The larger the denominator, the smaller the fraction, of course, and vice versa: with a smaller denominator, the fraction that expresses the real “value” of a person, his moral value, rises. In my statement, L.N. Tolstoy touched upon the mathematical definition. Mathematics is an exact science. It teaches logical thinking, analysis and precise definition. After all, man is a whole, personal, rational being. There are so many thoughts and dreams about himself in his head that no one will ever know. In life, he will not be able to carry out everything that he thinks about himself. Many years ago, the American psychologist Williams James also derived a formula according to which a person's self-esteem can be represented as a fraction, the numerator of which is his real achievements, and the denominator is his ambitions and claims. In other words, the most reliable way to increase self-esteem is, on the one hand, not to complete your claims, on the other, to add real tangible successes. “... The best person is not only a significant person, but also with good self-esteem. These are the people who usually succeed. Self-esteem gives confidence in oneself, and what he is, further promotes this person. It's like a locomotive going forward. And he reaches the goal! I believe that it is always necessary to do so in order to have a fraction equal to one in your own and other people's eyes. But fractions are different, which means that there are many different people in the world. Mukminova A. Grade 11
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The great Russian writer Leo Tolstoy wrote: “A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself.” I realized that the numerator is what people around see in a person, then is his upbringing. And the denominator is a person's assessment of himself. This amazing comparison of a person with a fraction makes one think about what a person should be like. The larger the denominator, the smaller the fraction. We know this from mathematics. But I think the numerator and denominator should match. You always need to do so that in your own and in the eyes of others to be the same. Recently, in a mathematics lesson, we went through the topic “Fraction”. There we studied proper and improper fractions. It can be concluded that an improper fraction is a person for whom the opinion of others is more important than he thinks about himself, and a correct one is a person who overestimates himself. Kurmasheva Elnara, Grade 7
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The great Russian writer Leo Nikolayevich Tolstoy said: “A person is a fraction whose numerator is what the person is, and the denominator is what he thinks of himself.” I believe that he is right and I will try to prove it ... If a person is more than he thinks of himself, that is, he underestimates (in the best sense of the word) himself, then a person is able to improve and achieve something completely great. Let's do the same with math. In the considered case, the numerator is greater than the denominator, the fraction will be greater than one. (We will not consider fractions with a negative value, since the value must be greater than or equal to zero) If a person is less than he thinks about himself, that is, he is arrogant, then, accordingly, the value of the fraction will be less than one. Let's consider one more case when someone represents nothing in total, that is, the numerator is equal to zero. Then, so that he does not think about himself, no matter who he considers himself to be, he will still remain nothing, exactly like the value of a fraction whose numerator is zero. There is another type of people who think that they have achieved nothing in this life (the exception is midlife crisis), that is, they are zeros of the denominator of a fraction. In this case, it is impossible to divide by zero and the value of the fraction does not exist, just as there is no person as a person. From the foregoing, we can conclude ... It is necessary that the fraction be greater than or equal to one. And a fraction is equal to one if and only if its numerator and denominator are equal, that is, when a person thinks about himself what he is. For me, it is more acceptable when the denominator of the fraction is greater than one, because it is in this case that a person is able to improve more. As Socrates said: “I only know that I know nothing” Timushev I.
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“A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself,” I completely agree with this statement. Man is a fraction. But sometimes either the numerator is greater than the denominator, or vice versa. Sometimes they are the same. Of course, each person represents something. Sometimes you walk, look at passers-by, and you think that each of them is a separate person, individuality, and everyone thinks differently about himself. Everyone represents what he has inside. Nowadays, many look at the appearance of a person, at his connections, and not at his inner world. This is a mistake, first of all, you need to get to know a person better, without opening up at the first meeting. It is necessary to study his character, his view of some things, if possible, against him in some situations. After all, it is not for nothing that they say: “Trust, but verify.” Opinion about yourself is completely different. People tend to have a good opinion of themselves. Someone has high self-esteem, someone has the opposite. I believe that every person is what he thinks of himself. In the period of time called life, everything awaits us: joys and sorrows, difficulties and good luck, love and breaks, victories and defeats ... Everyone lives their life according to their own concepts. In any situation, first of all, self-confidence, self-esteem of a person is important. A person is a fraction, and I think both the numerator and denominator should be the same. Khabibullina A. Grade 11
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We live in a society among individuals. Each of us is different in our own way. And whether you become a person or some kind of “Mr. from San Francisco”, the hero of Bunin’s work, depends on you. The futurist Igor Severyanin had high self-esteem, he called himself a genius, although he was a simple writer, but deeply understanding the surrounding society, the indifference of some people towards others. Not every talented person, statesman, can have a high opinion of himself. They strive to gain even more skills and knowledge. There are many kinds of fractions in mathematics, as well as people all over the globe. Each person chooses his own way to develop and subsequent stay in society. Some people listen to the opinions of others, to their advice. Climbing the career ladder, do not forget old friends. In contrast to them, there is a second type of people. These are self-confident people, they do not take into account the opinions of others, considering many to be secondary. Conclusion: they represent more than their own self-esteem. This fraction can be represented as a whole number. That is, these people have a core, in relation to people they are more friendly. The second type of people is the correct fraction. They consider themselves correct, although they are not. For example, 5/11. They are more selfish beings. They put themselves first. But in fact, in society, they are a "loner", not a sociable, proud, narcissistic person. Abdryashitova Z.Z. Grade 11
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Literature http://bse.sci-lib.com/particle028237.html http://www.omg-mozg.ru/tolstoy.htm http://www.artvek.ru/kramskoy.html