Mathematics is the language of science: it studies the quantitative and spatial features of various objects, phenomena and processes in various sciences. Mathematics is the productive power of society, since in the study of various kinds of phenomena quantitative patterns are sought and strict mathematical methods are widely used.
I have often heard the phrase that mathematics is a country without borders. Despite its banality, the phrase about mathematics has a very good reason. After all, one of the most ancient and interesting sciences in the world is precisely mathematics.
Mathematics has a special place in human life. We are so intertwined with her that we simply do not notice her.
But everything begins with mathematics. The child was just born, and the first figures in his life already sound: height, weight.
The kid grows up, cannot pronounce the word “mathematics”, but is already engaged in it, solves small problems on counting toys, cubes. Yes, and parents do not forget about math and problems. When preparing a child’s food, weighing it, they have to use math. After all, you need to solve elementary problems: how much food you need to cook for the baby, given his age, etc.
Mathematics is one of those sciences, the foundations that were laid not a year, not two, and not even a hundred years ago. Mathematics has been with us for several thousand years. Now, while studying at school or university, someone easily skips math or is reluctant to go, from their point of view, to this boring lesson.
Mathematics was laid down for another two thousand years. Now we are used to the fact that everything instantly becomes obsolete, for a computer a year is already a sentence. And you imagine that everything that was laid down two thousand years ago in mathematics is still relevant, that all those mathematical laws and theorems that were formulated by famous mathematicians of those times are still true. Almost nothing has changed since that time.
Math is everywhere! The ancient Egyptians would never have built their Great Pyramids without the simple laws of mathematics. It seems that it could be easier than to draw a straight line ?! But in order to make the side of the pyramid a straight line several kilometers long is needed! The Egyptians managed to figure out how to solve the problem and go down in history forever.
As time passed, the world around people changed and simple tasks began to be replaced by more and more complex ones. Now people could not do with simple equations, they began to think in many planes, began to invent other, nonexistent, but making life easier spaces. Derivative formulas, trigonometric formulas, fundamentals of differentiation and integration appeared, tables of derivatives and tables of integrals were formed. The indispensable part of the world has become differential equations and various methods for solving them.
Have you ever wondered on what grounds the builders plan the apartments. To reveal to you one of the secrets ?! The optimal layout of the apartments, the length and width of the corridor, the size of the rooms help to find simple functions. You have the area, the main parameters of the house (length and width), the approximate size of the corridor, on the basis of this a system of elementary functions is compiled, in which only the parameters of the rooms that you are interested in remain unknown.
Then this system is reduced to one equation, it is differentiated, monotonicity investigated, and its extremum points are found. It is the extreme points that are optimal, the topic that is most profitable to use. The values of the unknowns obtained at the points of the extremum are used by builders.
Here are just some facts from the centuries-old history of mathematics, that which constantly surrounds us, but we do not always think that we have all this only thanks to mathematics.
At school, mathematical problems have to be solved a lot and their complexity is growing every year. They do not just teach math, certain actions. Mathematical problems develop thinking, logic, and a set of skills: the ability to group objects, reveal patterns, determine the connections between phenomena, make decisions. Very often, the solution to such problems is simply a mathematical calculation.
Engaging in mathematics, solving mathematical problems develops a personality, makes it more purposeful, more active, more independent. Remember at least your classmate who knows the math well and can quickly solve. He is often called a wise guy, mathematician, “task book”. He can solve problems, justify his choice, can critically evaluate himself and his classmates. And academic performance in other subjects, except mathematics, is an order of magnitude higher. It is mathematical thinking that helps him in this.
It would seem that after school, mathematics is not where it will come in handy. Alas! Here you have to use math more often.
While studying at the university, at work and at home, you need to constantly solve problems, and not just mathematical ones. What is the likelihood of a successful math exam? How much money do you need to earn to buy an apartment? How much can you get by doing math and solving math problems? What should be the volume of your house and how much brick do you need for this? How to calculate the birth of a girl or boy? And then mathematics will come to the rescue. She follows the person everywhere, helps him solve problems, makes his life much more convenient!
The world and life itself are changing rapidly. It includes new technologies. Only mathematics and problem solving in the traditional sense do not betray themselves. Mathematical laws are checked and systematized, so a person at important moments can rely on it to solve any problem. And math won’t let you down!
Why do you need math?
Mathematics is needed in order to be able to count objects, because it helps not to get confused and not to lose something important. Calculate time, such as seconds, minutes, hours, days, seasons, years. This helps to plan your time correctly and accurately. To be able to add and subtract, as well as multiply and divide numbers, because it helps to trade. To study geometric shapes and their location, because it helps to construct and build. And also, a lesson in mathematics allows us to develop logical thinking, with the help of which we find a quick solution to any problem.
For orientation in the modern world, everyone absolutely needs a certain set of knowledge and skills of a mathematical nature (computing skills, elements of practical geometry – measuring geometric quantities, recognizing and displaying geometric figures, working with a function and graph, drawing up and solving proportions, equations, inequalities and their systems etc. ).
The experience gained in solving mathematical problems contributes to the development of both rational thinking skills and ways of expressing thoughts (laconicism, accuracy, completeness, clarity, etc.), and intuition – the ability to predict the result and predict the solution. Mathematics awakens the imagination. Mathematics is the path to the first experiments of scientific creativity, the path to understanding the scientific picture of the world.
Mathematics is capable of making a significant contribution not only to the general development of the personality, but also to the formation of character and moral features. For a complete solution to a mathematical problem, you need to go through a rather long branchy path. It is impossible to hide the error – there are objective criteria for the correctness of the result and the validity of the decision. Mathematics contributes to the formation of intellectual honesty, objectivity, perseverance, ability to work.
Mathematics contributes to the development of aesthetic perceptions of the world. Everyone who has experienced the joy of meeting a beautiful unexpected idea, a result or solving a mathematical problem, agrees that mathematics, which can influence the emotional sphere of a person so much, contains a significant aesthetic component. It is significant at the same time that we are talking about specific forms of aesthetic mastering of reality that complement classical art – the world of ideas, abstract objects and forms, logical constructions.
Why study math?
Mathematics occupies a special place in the system of sciences. She ultimately studies nature, and this gives every reason to attribute it to the natural sciences, but unlike other sciences about nature, she uses not the methods of observation and experiment, but the deductive method, which is purely speculative in nature, and this brings her closer to humanities. Math-specific logical rigor and rigor of inference are intended to foster a general culture of thinking.
The most valuable quality of thinking is logic, that is, the ability to draw the right conclusions from judgments, to find the right consequences from existing facts. This quality arises and develops in the process of studying mathematics, since mathematics is practical logic, in it each new position is obtained using strictly justified reasoning based on previously studied positions. Mathematics disciplines the mind, accustoms to logical thinking. Mathematics is the gymnastics of the mind. She teaches to reason, the ability to explain, the ability to search and find rational solutions to problems that arise in life.
The study of mathematics forms not only logical thinking, but also quick wit, perseverance, accuracy, criticality. Spatial imagination is very important, that is, the ability to imagine in the mind some figures or objects and changes with them, and therefore some kind of event. Mathematics develops the ability to guess, guess in advance the result, the ability to search for the right path in the most complicated conditions.
- To think mathematically, that is, reasonably, clearly, consistently, logically correctly reason;
- To solve problems. Finding a solution method requires the ability to carefully read, analyze, guess, imagine. These qualities are necessary in solving everyday problems;
- Ability to highlight the main thing and drop out the unnecessary, inconsequential;
- To see in the particular and the concrete the already known general or in the unit and particular as yet unknown general. That is, to form concepts and classify them;
- Ability to switch from direct to reverse thought flow (switch from result to initial data and vice versa).
Subject – substantial equipment of mathematical problems gives a wide scope for communicating numbers and data that can significantly broaden one’s horizons and raise the general cultural level. In recent years, there has been a steady tendency for the penetration of mathematical methods in such sciences as history, philology, not to mention linguistics and psychology. Therefore, the circle of people who, in their subsequent professional activities, will probably use mathematics, will expand.
10 answers to one question: why do you need to study math?
- The study of mathematics brings to the immortal gods. (Plato)
- People who have mastered the great principles of mathematics have one more sensory organ than ordinary mortals. (C. Darwin)
- It is simply impossible to deceive a person who knows how to observe and analyze. His conclusions will be infallible, like Euclidean theorems. (A. Conan Doyle)
- No science strengthens faith in the power of the human mind, like mathematics. (G. Steinghaus)
- Most of life’s problems are solved as algebraic equations: reducing them to the simplest form. (L. Tolstoy)
- Mathematics is a prototype of the beauty of the world. (I. Kepler)
- Mathematics is needed to study many sciences, but it itself does not need any science. (P. Kapterov)
- In history we draw wisdom, in poetry – wit, in mathematics – insight. (F. Bacon)
- Life is decorated with two things: doing math and teaching it. (S. Poisson)
- Mathematics is the language spoken by all the exact sciences. (N.I. Lobachevsky)
Thus, if you consider yourself to be educated and intelligent people, then make the correct conclusion: “Mathematics must then be taught that it brings the mind in order.” (M.V. Lomonosov and school mathematics teachers)
A story about a man who did not know mathematics well.
There is a story about a person who did not know mathematics well:
The man worked as an accountant in a very successful company. And so the commission was to come. And he was preparing a financial report and did not count 1,000,000, thinking that they would blame him, he hanged himself. And then it turned out that only 1 penny was missing.
This is what non-knowledge of mathematics can lead to.
Whatever happens to you, learn math and develop logical thinking. And it will help you with this, perhaps, a collection of logical problems and mathematical puzzles, which I compiled using various sources sources.