What common mathematical knowledge can be seen everywhere in life? What is the common sense of mathematics in life?
There are many mathematical problems around our lives, which run through all aspects of life. There are many math games in real life, such as children's quick calculation of twenty-four when playing poker, math box-filling games, and even Zhao Benshan's sketches.
For example, "There are seven monkeys in the tree, one on the ground and several others." Wait, examples from life.
These games constitute a colorful picture in our life. We get together every morning. First of all, we make a simple plan for the day, what to do in a day, what time it takes to finish it, and what is the budget expenditure and income of this day. After having a preliminary plan, start to implement the work of the day; A day's work is accompanied by various calculations and budgets, which is mathematics.
After a day's work, the next step is the summary of the day. Summarized by a mathematical operation, the result of the operation is a relatively intuitive number. In our real life, shopping, estimating, calculating time, determining location, buying and selling stocks and so on are all related to mathematics.
It can be said that mathematics is ubiquitous in people's lives and it is an indispensable tool in daily life. No matter what occupation people are engaged in, they will use mathematical knowledge and skills and mathematical thinking methods to varying degrees.
Especially with the popularization and development of computers, this demand is increasing day by day. Whether it is weather forecast, savings, market survey and forecast in our daily life, or gene map analysis, engineering design, information coding, quality monitoring and so on. It is inseparable from the support of mathematics.
Moreover, mathematics, like language, is a tool with international universality. It can be said that there are countless mathematics in nature, such as the honeycomb built by bees, whose surface is composed of wonderful mathematical figures-regular hexagon, which consumes the least material and time; The manhole covers of urban sewers are all round. Do you know why? On the sidewalk, we often see such patterns, which are paved with square or regular hexagonal floor tiles of the same size, so that the floor tiles of this shape can be paved into a flat ground without pores.
There is a mathematical truth in economics. For another example, 100 households need to install telephones, but actually they don't need 100 telephone lines. As long as they are kept busy for a period of time, the installation cost can be greatly saved, which embodies the role of mathematical statistics. So life and mathematics are inseparable. There is mathematics in life, and mathematics is the epitome of life.
At the end of the year, the businessman said in the conversation what my income was this year and how it compared with last year. Farmers are also talking about how much food they have earned this year; The workers are also discussing whether the income and expenditure of this year are equal and how much savings there are; The soldiers talked about their training achievements this year and how many achievements they improved; Students' academic performance is the standard to measure a teacher's efforts in the past year; The unit is also making such a summary. The end of one year is like this, and the beginning of the next year also needs a budget; People are doing the same thing every day, every month, every quarter and every stage; A person, a family, a unit, an organization, a country, etc. They all use mathematical methods to do certain operations on them in different time, place, space, people and things. And then get an intuitive numerical index as the goal, conclusion, budget, degree and so on.
In a word, mathematics in life can be said to be ubiquitous, which seriously affects our lives and is an important condition in life. Therefore, we can't ignore the mathematics in life, we should attach importance to it and develop and use it to the maximum.
2. What is the common sense of mathematics in life?
This is an interesting common sense of mathematics, and it is also good to use it in mathematics newspapers.
People call 12345679 "Leak 8". This "number without 8" has many surprising characteristics, such as multiplying by multiples of 9, and the product is actually composed of the same number. People call this "uniform". For example:
12345679*9= 1 1 1 1 1 1 1 1 1
12345679* 18=222222222
12345679*27=333333333
……
12345679*8 1=999999999
These are all 0 times to 9 times of 65438+9.
And 99, 108, 1 17 to 17 1. Finally, the answer is:
12345679*99= 122222222 1
12345679* 108= 1333333332
12345679* 1 17= 1444444443
… …
12345679* 17 1=2 1 1 1 1 1 1 109
It is also a "uniform"
Son, as long as you pay attention to observation, you will find that there is common sense of mathematics everywhere in your life.
Just write down the phenomena related to mathematics in life and list the logical relationship between mathematics and phenomena.
In life. For example, when you go shopping, you will naturally use addition and subtraction, and you always have to draw pictures when you build a house. There are countless problems like this, and this knowledge comes from life and is finally summed up as mathematical knowledge, which solves more practical problems.
I once saw a report that a professor asked a group of foreign students, "How many times will the minute hand and the hour hand overlap between 12 and 1?" Those students all took off their watches from their wrists and began to set hands; When the professor tells the same question to the students in China, the students will use mathematical formulas to make calculations. The commentary said that it can be seen that China students' mathematical knowledge is transferred from books to their brains, so they can't use it flexibly. They seldom think of learning and mastering mathematics knowledge in real life.
From then on, I began to consciously connect mathematics with daily life. Once, my mother baked a cake, and two cakes could be put in the pot. I thought, isn't this a math problem? It takes two minutes to bake a cake, one minute in front and one minute in the back. At most, two cakes are put in the pot at the same time. How many minutes does it take to bake three cakes at most? I thought about it and came to the conclusion that it takes 3 minutes: first, put the first cake and the second cake into the pot at the same time, 1 minute later, take out the second cake, put the third cake and turn the first cake over; Bake again 1 min, so that the first cake is ready. Take it out. Then put the reverse side of the second cake on it, and turn the third cake upside down at the same time, so it will be all done in 3 minutes.
I told my mother about this idea, and she said, actually, it won't be so coincidental. There must be an error, but the algorithm is correct. It seems that we must apply what we have learned in order to make mathematics serve our lives better.
Mathematics should be studied in life. Some people say that the knowledge in books has little to do with reality now. This shows that their knowledge transfer ability has not been fully exercised. It is precisely because learning cannot be well understood and applied in daily life that many people do not attach importance to mathematics. I hope that students can learn mathematics in their lives and use mathematics in their lives. Mathematics is inseparable from life. If they study thoroughly, they will naturally find that mathematics is actually very useful.
4. What are the mathematical knowledge involved in life?
1, the application of mathematical geometry knowledge in life
Mathematics has gradually become the main tool of design and composition, which not only belongs to the intellectual resources of architectural design, but also is an effective way to reduce technical errors and establish experiments.
Proportion, as well as the layout, balance and scale closely related to proportion, are all important factors that constitute the aesthetic feeling of architecture. Correct and harmonious scale and proportion are the main conditions to reflect the architectural structure, especially the application of golden section ratio can make the aesthetic feeling of architecture reach the extreme.
2. The application of mathematical statistics knowledge in life.
Statistical work, statistical data and statistical science. The relationship between statistical work, statistical data and statistical science is that the result of statistical work is statistical data, and the basis of statistical data and statistical science is statistical work. Statistical science is not only a theoretical summary of statistical work experience, but also a principle, principle and method to guide statistical work.
3. The application of mathematical inequality in purchasing.
Going to the fruit shop to buy apples, the way to buy apples is different: spend the same money every time, no matter what the price of apples, only buy apples with so much money; Buy apples of the same weight every time, regardless of the price of apples. Then, there may be a problem: in the case of the same number of purchases, which way to buy apples has the least average price, which involves the application of inequality.
4. The application of mathematical probability knowledge in life.
It reflects the possibility of random events. Random events refer to events that may or may not occur under the same conditions. Probability has a wide range of applications in life, such as lottery, sports lottery, estimation of factory defective rate and so on.
For example, it is a random event to randomly select one from a batch of goods with genuine products and defective products, and "what is extracted is genuine products". Suppose a random phenomenon is tested and observed n times, in which event A appears m times, that is, its frequency is m/n. After a lot of repeated experiments, m/n is often closer to a certain constant.
5. The application of mathematical interest rate knowledge in life.
The credit card channel returns the funds within the time limit stipulated by the bank. Once the time limit is exceeded, interest will be charged according to the length of time. In the process of calculating interest, the mathematical interest rate will be applied. If you master this knowledge skillfully, you can calculate the charging standards of major banks in terms of overdue interest on credit cards through mathematical interest rates.
5. What are the math problems in daily life?
First, as early as the feudal society, the China calendar divided a day and night into one hundred minutes, and then at twelve o'clock, there were eight minutes and thirty-three seconds, and thirty-three fibers were countless. In western countries, 96 minutes is divided into 12 points, and there is no remainder, which is convenient for calculation.
Second, the old China tile house, the roof of which inclines downward from the center to the front and back sides of the house, is triangular, and the triangle is used for the construction of the house and has stability; Nowadays, all kinds of roads, buildings and bridges can't be built without mathematics.
3. How often do the traffic lights in the city turn red? What's the speed of cars on this road, and how many times do you run red lights? Time-saving? How high is the first floor? How long is 10 meter? Who is taller than you? Who is shorter than you? Who is similar to you? There are many stories about mathematics and life in ancient and modern China and abroad, and mathematics involves too many fields.
Fourth, the application in economics: bank interest rate, stock rise and fall, clothes discount and so on.
Bank deposits are divided into lump-sum deposit and withdrawal, lump-sum deposit and withdrawal, time deposit, demand deposit and national debt, and the interest rates vary greatly. Usually we calculate interest in this way: principal * interest rate * time = earned interest, and then deduct 20% from the interest to pay taxes (except national debt), and the remaining 80% interest is your own interest.
5. Engineers use scales to let people know this thing better; The four calculation methods used by businessmen and farmers are to calculate the value of goods more simply and accurately; All kinds of statistical tables are for better statistical data, which makes people clear at a glance; The use of percentage is to better calculate the discount price and discount rate of goods;
Calculate the volume or volume, and use the tail removal method to ensure that the goods will not overflow; The conversion of similar units is to facilitate our calculation; Algebra is used to express the operation rules and calculation formulas in order to study and solve problems more conveniently.
Extended data:
Mathematics originated from people's production practice thousands of years ago and has been closely related to people's daily life since ancient times. The famous buoyancy principle discovered by Archimedes was also discovered from life.
Legend has it that King Helen summoned Archimedes and asked him to identify whether the pure gold crown was adulterated. He thought hard for many days. When he stepped into the bathtub to take a bath, he got inspiration from seeing the water rise. He made a major discovery about floating bodies and solved the king's problem through the water discharged from the crown.
In the famous book On Floating Bodies, he determined the floating positions of various solids according to the changes of their shapes and specific gravity, and expounded and summarized Archimedes' principle, which was later famous in the world: an object placed in a liquid is subjected to upward buoyancy, and its size is equal to the weight of the liquid displaced by the object. Since then, people have a scientific understanding of the ups and downs of objects.