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How to teach a child to divide multi-digit numbers in a column. How to teach a child to divide by a column? Division by a column of a natural number by a single-digit natural number, division algorithm by a column

Instruction

Before teaching how to divide two-digit numbers, it is necessary to explain to the child that a number is the sum of tens and ones. This will save him from a future rather common mistake that many children make. They begin to divide the first and second digits of the dividend and divisor into each other.

First, work from numbers to single digits. This technique is best practiced using the knowledge of the multiplication table. The more there will be such practice, all the better. The skills of such a division should be brought to automaticity, then it will be easier for the child to move on to more difficult topic a two-digit divisor, which, like the dividend, is the sum of tens and ones.

The most common way of dividing two-digit numbers is the selection method, which involves dividing successively by numbers from 2 to 9 so that the final product equals the dividend. Example: Divide 87 by 29. Reason as follows:

29 times 2 equals 54 - not enough;
29 x 3 = 87 is correct.

Pay the student's attention to the second digits (units) of the dividend and divisor, which are convenient to navigate when using the multiplication table. For example, in the example above, the second digit of the divisor is 9. Think about how much you need to multiply the number 9 so that the number of units of the product is 7? Answer in this case only one - by 3. This greatly simplifies the task two-digit division. Test your guess by multiplying the whole number 29.

If the task is performed in writing, then it is advisable to use the method of dividing into a column. This approach is similar to the previous one, except that the student does not need to keep the numbers in his head and do mental calculations. It is better to arm yourself with a pencil or a draft sheet for written work.

Sources:

  • multiplication of two-digit numbers by two-digit tables

The topic of dividing numbers is one of the most important in the 5th grade math program. Without mastering this knowledge, further study of mathematics is impossible. Divide numbers come into life every day. And don't always rely on a calculator. To separate two numbers, you need to remember a certain sequence of actions.

You will need

  • Checkered sheet of paper
  • pen or pencil

Instruction

Write the dividend and on one line. Separate them with a vertical bar two lines high. Draw a horizontal line under the divisor and dividend perpendicular to the previous line. To the right, under this line, the quotient will be written. Below and to the left of the dividend, under the horizontal line, write zero.

Move one leftmost, but not yet transferred, digit of the dividend down under the last horizontal line. Mark the transferred digit of the dividend with a dot.

Compare the number under the last horizontal bar with the divisor. If the number is less than the divisor, then continue with step 4, otherwise go to step 5.

One of milestones in teaching a child mathematical operations - teaching the operation of dividing prime numbers. How to explain division to a child, when can you start mastering this topic?

In order to teach a child to divide, it is necessary that by the time of learning he has already mastered such mathematical operations as addition, subtraction, and also has a clear idea of ​​the very essence of the operations of multiplication and division. That is, he must understand that division is the division of something into equal parts. It is also necessary to teach multiplication operations and learn the multiplication table.

I already wrote about how this article can be useful for you.

We master the operation of division (division) into parts in a playful way

At this stage, it is necessary to form in the child the understanding that division is the division of something into equal parts. The easiest way to teach a child to do this is to invite him to share a certain number of items among his friends or family members.

For example, take 8 identical cubes and invite the child to divide into two equal parts - for him and another person. Vary and complicate the task, invite the child to divide 8 cubes not into two, but into four people. Analyze the result with him. Change the components, try with a different number of objects and people into which these objects need to be divided.

Important: Make sure that the child operates with an even number objects so that the result of division is the same number of parts. This will be useful in the next step, when the child needs to understand that division is the inverse of multiplication.

Multiply and divide using the multiplication table

Explain to your child that, in mathematics, the opposite of multiplication is called division. Using the multiplication table, demonstrate to the student, using any example, the relationship between multiplication and division.

Example: 4x2=8. Remind your child that the result of multiplication is the product of two numbers. Then explain that division is the inverse of multiplication and illustrate this clearly.

Divide the resulting product "8" from the example - by any of the factors - "2" or "4", and the result will always be another factor that was not used in the operation.

You also need to teach the young student how the categories that describe the operation of division are called - “divisible”, “divisor” and “quotient”. Use an example to show which numbers are divisible, divisor and quotient. Consolidate this knowledge, they are necessary for further learning!

In fact, you need to teach your child the multiplication table “in reverse”, and you need to memorize it as well as the multiplication table itself, because this will be necessary when you start teaching long division.

Divide by a column - give an example

Before starting the lesson, remember with your child how the numbers are called during the division operation. What is a "divisor", "divisible", "quotient"? Learn to accurately and quickly identify these categories. This will be very useful while teaching the child to divide prime numbers.

We explain clearly

Let's divide 938 by 7. In this example 938 is the dividend, 7 is the divisor. The result will be a quotient, and then you need to calculate it.

Step 1. We write down the numbers, dividing them with a "corner".

Step 2 Show the student the number of divisible and ask him to choose from them the smallest number that is greater than the divisor. From three digits 9, 3 and 8, this number will be 9. Ask the child to analyze how many times the number 7 can be contained in the number 9? That's right, just once. Therefore, the first result we write down will be 1.

Step 3 Let's move on to the design of the division by a column:

We multiply the divisor 7x1 and get 7. We write the result obtained under the first number of our dividend 938 and subtract, as usual, in a column. That is, we subtract 7 from 9 and get 2.

We write down the result.

Step 4 The number that we see is less than the divisor, so we need to increase it. To do this, we combine it with the next unused number of our dividend - it will be 3. We attribute 3 to the resulting number 2.

Step 5 Next, we act according to the already known algorithm. Let's analyze how many times our divisor 7 is contained in the resulting number 23? That's right, three times. We fix the number 3 in the quotient. And the result of the product - 21 (7 * 3) is written below under the number 23 in a column.

Step.6 Now it remains to find the last number of our quotient. Using the already familiar algorithm, we continue to do calculations in a column. By subtracting in the column (23-21) we get the difference. It equals 2.

Of the dividend, we have one number left unused - 8. We combine it with the number 2 obtained as a result of subtraction, we get - 28.

Step 7 Let's analyze how many times our divisor 7 is contained in the resulting number? That's right, 4 times. We write the resulting figure in the result. So, we have the quotient obtained as a result of division by a column = 134.

How to teach a child to divide - we consolidate the skill

The main reason why many students have a problem with mathematics is the inability to quickly do simple arithmetic calculations. And on this basis, all mathematics in elementary school is built. Especially often the problem is in multiplication and division.
In order for a child to learn how to quickly and efficiently carry out division calculations in the mind, it is necessary correct technique learning and skill building. To do this, we advise you to use the currently popular aids in mastering the division skill. Some are designed for children to work with their parents, others for independent work.

  1. "Division. Level 3 Workbook» from the largest international center additional education Kumon
  2. "Division. Level 4 Workbook by Kumon
  3. “Not mental arithmetic. A system for teaching a child rapid multiplication and division. For 21 days. Notepad simulator.» from Sh. Akhmadulin - the author of best-selling educational books

The most important thing when you teach a child to divide in a column is to master the algorithm, which, in general, is quite simple.

If the child operates well with the multiplication table and "reverse" division, he will not have difficulties. Nevertheless, it is very important to constantly train the acquired skill. Don't stop there as soon as you realize that the child has grasped the essence of the method.

In order to easily teach a child the operation of division, you need:

  • So that at the age of two or three years he mastered the relationship "whole - part". He should develop an understanding of the whole as an inseparable category and the perception of a separate part of the whole as an independent object. For example, a toy truck is a whole, and its body, wheels, doors are parts of this whole.
  • To in junior school age the child freely operated on addition and subtraction of numbers, understood the essence of the processes of multiplication and division.

In order for the child to enjoy mathematics, it is necessary to arouse his interest in mathematics and mathematical actions, not only during training, but also in everyday situations.

Therefore, encourage and develop observation in the child, draw analogies with mathematical operations (operations on counting and division, analysis of part-whole relationships, etc.) during construction, games and observations of nature.

Lecturer, child development center specialist
Druzhinina Elena
site specially for the project

Video plot for parents, how to correctly explain the division into a column to the child:

Counting in the mind, according to many of us, is no longer relevant in our time. There is a calculator in every smartphone, and even more so on a computer and laptop. However, constantly, before each of your actions, steps or sneezes, you can’t get into the calculator, but you need to count constantly and a lot. - a skill that is very necessary even in our high-tech age of gadgets and electronic computing systems. A simple example illustrating these theoretical calculations is the behavior of buyers and sellers in a store: you need to act quickly, because there is a long line behind you, and if you do not know how to count in your head, the seller may cheat you - by mistake or intentionally. Children most often make their first independent “outings” to the store, so the mental account will be very useful for them.

- not an innate skill in humans, and very young children do not yet have an idea about numbers, quantities, actions with groups of objects (adding one group to another, subtracting, etc.). The primitive peoples of Asia, Africa and America also have undeveloped ideas about numbers and arithmetic operations: most often their number system consists of the concepts of "one", "two" and "many"; some tribes can count up to five, some up to seven, but then they all have the same “many”. From this we can conclude that counting in general is a rather complex function for human consciousness.

So how do you teach your child the first manipulations with numbers? Before mastering the ability to operate with abstract numbers, children must understand the account with illustrative examples. The child first needs to be told about the numbers, at least up to the first ten, and count with him miscellaneous items that can be seen around: birds in the trees, flowers in the garden, people on the street, cars in the parking lot, and so on. Gradually, the baby will understand the "appearance" of specific quantities - whether it be one, five or ten items. With undeveloped abstract thinking in young children, the visual memory, he quickly remembers shapes and colors. You can practice counting with him, showing bright pictures.

The main thing is to understand that Small child sees everything as a game. And numeracy training must also be submitted to game form to keep him interested. At right approach the baby will grasp information very quickly, because at this age his brain absorbs everything new very actively. You can’t put him at the table and read a boring “lecture” about arithmetic operations for a long time - the child will only lose interest in learning. You need to count with him different places and situations during walks, games and other joint activities. You can offer to cook something tasty together, and the child can help determine, for example, how many eggs are needed to knead the dough.

After the ideas about the number are more or less formed, the game can be complicated. Teach your child the first arithmetic operations - addition and subtraction. For example, take toy house(in its role can be the usual big box) and figures of people or animals (you can use ordinary cubes, which we will call, for example, “gnomes”). Place one person in the house and ask the baby how many people live in the house. He must answer that one. Then put another figurine in the house and ask how many little men there are. Let the child think and say the correct answer. At first, it will take him several minutes to do this, he will be mistaken; do not rush or scold him. When he says the correct answer, he must open the house and make sure that there are exactly two little men. The abstract model that the child reproduced from memory was confirmed by a good example. Add and subtract little men from the total number of "inhabitants" of the house, which will strengthen and develop the child's mental counting skill.

How to teach a child to multiply and divide

If and are fairly easy procedures, then it is much more difficult for a child to understand. It is even more difficult to master division. Parents will also come to the rescue here illustrative examples, toys and figurines.

You need to prepare the same boxes and sets of figures. In the simplest case, pebbles, cubes, lids from plastic bottles- you can find anything. Each box must contain an equal number of figurines. Invite the child to fill one box by putting the figures in it. Let him count how many items are in the box. And after that, let him fill the second box, make sure that there are the same number of items in it, and count the total number of figures in both boxes. At first, only a few items should be included in one box - two, three. In this way, you can bring the baby to the idea that two times three equals six, two times two equals four, and so on. There is no need to increase the boxes and figures to infinity: at this stage, it is important that the child understands the specific, material meaning of multiplication as the sum of several identical groups of objects. The next step is to memorize the multiplication table. Learn by heart, like a poem. More precisely - a group of poems. “Lines” in them are examples: twice three - six, twice four - eight ... At a time, you can learn only one “poem” - multiplication by two, by three, four, and so on. Multiplication by five resembles a poem and outwardly - its “lines” rhyme with each other, so it is easiest to remember it.

- the most difficult action for the baby, even in elementary school they start it later than other sections of arithmetic. Division is the inverse of multiplication, so in order to master it, the child must already know the multiplication table. However, at first, all the same illustrative examples will do, and in this sense, division is the action that is closest and most relevant to the baby. How to divide candies among everyone so that everyone has an equal share? After all, if someone has less than others, he will be offended. It is necessary to share fairly, and at first this can be done by selection: first distribute one candy, then one more ... The total number of sweets must be picked up by an adult so that it is really divided among all children without a trace. Subsequently, you can explain to the child that not all numbers can be divided by each other. In this division, it is more difficult than multiplication - after all, absolutely all numbers can be multiplied. If possible, the children are also introduced to the division with the remainder: the remaining sweets, which cannot be distributed equally to everyone, are taken by an adult (or they will go to the most obedient of the children).

How can you help a child

Doing arithmetic for a child can be simplified if you tell him about the properties of numbers from 2 to 10. For example, 4 is two times two; 5 can be obtained different ways- add 3 to 3 or 1 to 4. Particular attention should be paid to the number 0. To simplify the count, you need to deal with round numbers: 30 is three times 10, and 5 is half of 10.

Formulas for more complex procedures

When a child gets older and already knows basic arithmetic, you can introduce him to formulas for quickly adding and multiplying large numbers. There are many such formulas, and here we will give only a few.

It is enough just to multiply two-digit numbers by 11. For example, 23 * 11. You just need to add up the numbers of the first multiplier and write down this multiplier in the answer, in the middle of which enter the resulting amount: 2+3=5, therefore, 23*11=253. If the addition of the digits results in a two-digit number, then the first digit of this number is added to the first digit of the multiplier. For example, 38*11. 3+8=11; we add the first unit to the three, and write the second in the middle of the answer: 38*11=418.

Adding large numbers can be simplified by increasing one term by some number, which is then subtracted from the answer. For example: 358+340=(358+2)+340-2= 360+340-2=700-2=698.

Such formulas will certainly be of interest to many adults, because they will greatly simplify the workflow, counting money and other essential operations with numbers.

Division is one of the four basic mathematical operations (addition, subtraction, multiplication). Division, like other operations, is important not only in mathematics, but also in Everyday life. For example, you will hand over the money with a whole class (25 people) and buy a gift for the teacher, but you will not spend everything, there will be change. So you will have to share the change among all. The division operation comes into play to help you solve this problem.

Division is an interesting operation, as we will see with you in this article!

Number division

So, a little theory, and then practice! What is division? Division is breaking something into equal parts. That is, it can be a package of sweets that needs to be divided into equal parts. For example, there are 9 sweets in a bag, and the person who wants to receive them has three. Then you need to divide these 9 sweets into three people.

It is written like this: 9:3, the answer will be the number 3. That is, dividing the number 9 by the number 3 shows the number of numbers three contained in the number 9. The reverse action, the test, will be multiplication. 3*3=9. Right? Absolutely.

So, consider the example of 12:6. First, let's name each component of the example. 12 - divisible, that is. number that is divisible. 6 - divisor, this is the number of parts into which the dividend is divided. And the result will be a number called "private".

Divide 12 by 6, the answer will be the number 2. You can check the solution by multiplying: 2*6=12. It turns out that the number 6 is contained 2 times in the number 12.

Division with remainder

What is division with remainder? This is the same division, only the result is not an even number, as shown above.

For example, let's divide 17 by 5. Since the largest number divisible by 5 to 17 is 15, the answer is 3 and the remainder is 2, and is written like this: 17:5=3(2).

For example, 22:7. In the same way, we determine the maximum number divisible by 7 to 22. This number is 21. Then the answer will be: 3 and the remainder 1. And it is written: 22:7=3(1).

Division by 3 and 9

A special case of division will be division by the number 3 and the number 9. If you want to know whether a number is divisible by 3 or 9 without a remainder, then you will need:

    Find the sum of the digits of the dividend.

    Divide by 3 or 9 (depending on what you need).

    If the answer is obtained without a remainder, then the number will be divided without a remainder.

For example, the number 18. The sum of the digits 1+8 = 9. The sum of the digits is divisible by both 3 and 9. The number 18:9=2, 18:3=6. Divided without a trace.

For example, the number 63. The sum of the digits 6+3 = 9. Divisible by both 9 and 3. 63:9=7, and 63:3=21. Such operations are carried out with any number to find out if it is divisible with a remainder 3 or 9 or not.

Multiplication and division

Multiplication and division are opposite friend operation friend. Multiplication can be used as a division test, and division as a multiplication test. You can learn more about multiplication and master the operation in our article about multiplication. In which multiplication is described in detail and how to perform it correctly. There you will also find the multiplication table and examples for training.

Here is an example of checking division and multiplication. Let's say an example is 6*4. Answer: 24. Then let's check the answer by division: 24:4=6, 24:6=4. Decided right. In this case, the check is made by dividing the answer by one of the factors.

Or an example is given for dividing 56:8. Answer: 7. Then the test will be 8*7=56. Right? Yes. In this case, the check is made by multiplying the answer by the divisor.

Division 3 class

In the third grade, division is just beginning to pass. Therefore, third-graders solve the simplest problems:

Task 1. A factory worker was given the task of putting 56 cakes into 8 packages. How many cakes must be put in each package to get the same amount in each?

Task 2. On New Year's Eve, the school gave out 75 sweets to children in a class of 15 students. How many candies should each child get?

Task 3. Roma, Sasha and Misha picked 27 apples from the apple tree. How many apples will each get if they need to be divided equally?

Task 4. Four friends bought 58 cookies. But then they realized that they could not divide them equally. How many cookies do you need to buy for each child to get 15 cookies?

Division 4 class

Division in the fourth grade is more serious than in the third. All calculations are carried out by dividing into a column, and the numbers that participate in the division are not small. What is division into a column? You can find the answer below:

Long division

What is division into a column? This is a method that allows you to find the answer to the division of large numbers. If a prime numbers like 16 and 4, can be divided, and the answer is clear - 4. That 512:8 in the mind is not easy for a child. And to tell about the technique for solving such examples is our task.

Consider the example, 512:8.

1 step. We write the dividend and the divisor as follows:

The quotient will be written as a result under the divisor, and the calculations under the dividend.

2 step. The division starts from left to right. Let's take number 5 first.

3 step. The number 5 is less than the number 8, which means that it will not be possible to divide. Therefore, we take one more digit of the dividend:

Now 51 is greater than 8. This is an incomplete quotient.

4 step. We put a dot under the divider.

5 step. After 51 there is another number 2, which means that the answer will have one more number, that is. quotient is a two-digit number. We put the second point:

6 step. We begin the division operation. Largest number, divisible without a remainder by 8 to 51 - 48. Dividing 48 by 8, we get 6. We write the number 6 instead of the first point under the divisor:

7 step. Then we write the number exactly under the number 51 and put the "-" sign:

8 step. Then subtract 48 from 51 and get the answer 3.

* 9 step*. We demolish the number 2 and write next to the number 3:

10 step The resulting number 32 is divided by 8 and we get the second digit of the answer - 4.

So, the answer is 64, without a trace. If we divided the number 513, then the remainder would be one.

Three-digit division

The division of three-digit numbers is performed using the long division method, which was explained using the example above. An example of just the same three-digit number.

Division of fractions

Dividing fractions is not as difficult as it seems at first glance. For example, (2/3):(1/4). The division method is quite simple. 2/3 is the dividend, 1/4 is the divisor. You can replace the division sign (:) with multiplication ( ), but for this you need to swap the numerator and denominator of the divisor. That is, we get: (2/3)(4/1), (2/3) * 4, this is equal to - 8/3 or 2 integers and 2/3. Let's give another example, with an illustration for a better understanding. Consider fractions (4/7):(2/5):

As in the previous example, we flip the divisor 2/5 and get 5/2, replacing division with multiplication. We get then (4/7)*(5/2). We make a reduction and answer: 10/7, then we take out the whole part: 1 whole and 3/7.

Dividing a Number into Classes

Let's imagine the number 148951784296, and divide it by three digits: 148 951 784 296. So, from right to left: 296 is the class of units, 784 is the class of thousands, 951 is the class of millions, 148 is the class of billions. In turn, in each class 3 digits have their own category. From right to left: the first digit is units, the second digit is tens, the third is hundreds. For example, the class of units is 296, 6 is units, 9 is tens, 2 is hundreds.

Division of natural numbers

Division of natural numbers is the simplest division described in this article. It can be both with a remainder and without a remainder. The divisor and dividend can be any non-fractional, whole numbers.

Sign up for the course "We speed up the mental calculation, NOT mental arithmetic"to learn how to quickly and correctly add, subtract, multiply, divide, square numbers and even take roots. In 30 days, you will learn how to use easy tricks to simplify arithmetic operations. Each lesson has new tricks, understandable examples and helpful assignments.

division presentation

The presentation is another way to visually show the topic of division. Below we will find a link to an excellent presentation that explains well how to divide, what division is, what is dividend, divisor and quotient. Don't waste your time and consolidate your knowledge!

Division examples

Easy level

Average level

Difficult level

Games for the development of mental counting

Special educational games developed with the participation of Russian scientists from Skolkovo will help improve oral counting skills in an interesting game form.

Game "Guess the operation"

The game "Guess the operation" develops thinking and memory. Main essence game, you need to choose a mathematical sign for the equality to be true. Examples are given on the screen, look carefully and put desired sign"+" or "-", so that the equality is true. The sign "+" and "-" are located at the bottom of the picture, select the desired sign and click on desired button. If you answer correctly, you score points and continue playing.

Game "Simplify"

The game "Simplify" develops thinking and memory. The main essence of the game is to quickly perform a mathematical operation. A student is drawn on the screen at the blackboard, and a mathematical action is given, the student needs to calculate this example and write the answer. Below are three answers, count and click the number you need with the mouse. If you answer correctly, you score points and continue playing.

Game "Fast Addition"

The game "Quick Addition" develops thinking and memory. The main essence of the game is to choose numbers, the sum of which is equal to a given number. This game is given a matrix from one to sixteen. A given number is written above the matrix, you must select the numbers in the matrix so that the sum of these numbers is equal to the given number. If you answer correctly, you score points and continue playing.

Game "Visual Geometry"

The game "Visual Geometry" develops thinking and memory. The main essence of the game is to quickly count the number of shaded objects and select it from the list of answers. In this game, blue squares are shown on the screen for a few seconds, they must be quickly counted, then they close. Four numbers are written below the table, you must select one correct number and click on it with the mouse. If you answer correctly, you score points and continue playing.

Piggy bank game

The game "Piggy bank" develops thinking and memory. The main essence of the game is to choose which piggy bank more money.In this game, four piggy banks are given, you need to calculate which piggy bank has more money and show this piggy bank with the mouse. If you answer correctly, then you score points and continue to play further.

Game "Fast addition reload"

The game "Fast Addition Reboot" develops thinking, memory and attention. The main essence of the game is to choose the correct terms, the sum of which will be equal to a given number. In this game, three numbers are given on the screen and the task is given, add the number, the screen indicates which number to add. You select the desired numbers from the three numbers and press them. If you answer correctly, then you score points and continue to play further.

Development of phenomenal mental arithmetic

We have considered only the tip of the iceberg, in order to understand mathematics better - sign up for our course: Speed ​​up mental counting - NOT mental arithmetic.

From the course, you will not only learn dozens of tricks for simplified and fast multiplication, addition, multiplication, division, calculating percentages, but also work them out in special tasks and educational games! Mental counting also requires a lot of attention and concentration, which are actively trained in solving problems. interesting tasks.

Speed ​​reading in 30 days

Increase your reading speed by 2-3 times in 30 days. From 150-200 to 300-600 wpm or from 400 to 800-1200 wpm. The course uses traditional exercises for the development of speed reading, techniques that speed up the work of the brain, a method for progressively increasing the speed of reading, understands the psychology of speed reading and the questions of course participants. Suitable for children and adults reading up to 5,000 words per minute.

Development of memory and attention in a child 5-10 years old

The course includes 30 lessons with useful tips and exercises for the development of children. In every lesson useful advice, several interesting exercises, task for the lesson and extra bonus at the end: an educational mini-game from our partner. Course duration: 30 days. The course is useful not only for children, but also for their parents.

Super memory in 30 days

Memorize the information you need quickly and permanently. Wondering how to open the door or wash your hair? I am sure not, because it is part of our life. Light and simple exercises for memory training, you can make it a part of life and do a little during the day. If eat daily allowance meals at a time, or you can eat in portions throughout the day.

The secrets of brain fitness, we train memory, attention, thinking, counting

The brain, like the body, needs exercise. Physical exercises strengthen the body, mental develop the brain. 30 days useful exercises and educational games for the development of memory, concentration, quick wit and speed reading will strengthen the brain, turning it into a tough nut to crack.

Money and the mindset of a millionaire

Why are there money problems? In this course, we will answer this question in detail, look deep into the problem, consider our relationship with money from a psychological, economic and emotional point of view. From the course, you will learn what you need to do to solve all your financial problems, start saving money and invest it in the future.

Knowing the psychology of money and how to work with them makes a person a millionaire. 80% of people with an increase in income take out more loans, becoming even poorer. Self-made millionaires, on the other hand, will make millions again in 3-5 years if they start from scratch. This course teaches the proper distribution of income and cost reduction, motivates you to learn and achieve goals, teaches you to invest money and recognize a scam.

The first years at school and the knowledge gained during this time is one of the most important and most exciting adventures in a child's life. Parents can help their child overcome this difficult path by laying down a certain knowledge base and preparing in advance for what awaits him at school. Most often, children without special problems learn basic knowledge of mathematics, especially since the baby is pleased to be a little more prepared than required and have the basics of knowledge that will be taught to him. Among them, it will not be superfluous to find out how to teach a child mathematics, in particular division.

How to teach a child to divide numbers?

Many parents are wondering how to teach a child mathematics, that is, to give him certain knowledge and skills regarding elementary arithmetic operations. The easiest way is to resort to the help of items. You can explain to the kid the essence of such a mathematical action as division, using an exponential game, then there will be no problems with how to teach a child to divide numbers.

To do this, you need to take 4 items, it can be fruits, cubes or balls, the main thing is that they are the same, and perform 3 arithmetic operations with them (addition, subtraction and multiplication). For example, you can add one to two, then subtract two from four, and finally take two twice to get four. Now divide 4 objects into two - this is the essence of the division. Then do the same manipulations with dividing by 3. In how to teach a child to divide, it is important to patiently and intelligibly explain to him that division is the opposite of multiplication.

How to teach a child to share a column?

Many parents are faced with the problem of how to teach a child math, since, unfortunately, not all teachers can convey information to children intelligibly. For the correct performance of arithmetic calculations, the baby needs to understand the process that is happening and that needs to be done. Of all the operations with numbers, division is perhaps the most difficult, and the ability to divide by a column can help in mastering it. Therefore, when teaching a baby mathematics, the question of how to teach a child to divide by a column is very important.

The advantage of this arithmetic operation is its schematic nature. When the time comes to master it, the child already has a little experience in mathematics, he is familiar with abstract concepts and knows how to operate with numbers and numbers, so he can also learn the column division scheme well. It is important at the same time that addition, subtraction and multiplication in a column no longer cause any difficulties for the child. And the main thing is how to teach a child to divide by a column - patience. You need to slowly and in great detail analyze several simple examples as many times as necessary until you are sure that he has mastered the information well.

Doman technique

Today's parents are becoming more and more interested various methods early development children. Including the question of how to teach a child mathematics quickly and effectively is also relevant. Adherents of the Glenn Doman methodology argue that it is possible to train completely in 5-6 months small child, starting from 4-6 months of age, arithmetic in the scope of the program for grades 1 and 2 elementary school. At the same time, the baby will be able to quickly produce everything in his mind. mathematical operations and even learn how to solve equations.

Training according to the Doman method is carried out using a special educational material- mathematical cards that you can make yourself from white cardboard. They take into account the immaturity of the visual apparatus of children and contribute to its development, as well as the development of the brain as a whole. For classes, you need to prepare about 100 square cards with a side size of 27 cm. You need to randomly apply dots on them with a red felt-tip pen with a thick rod - from 1 to 100. If possible, you can use a printer. FROM reverse side each card you need to write down a number that corresponds to the number of dots on the card. Leave small margins around the edges to hold the card in during the learning process.

In a certain order, showing the child the cards and voicing what he sees in the picture, you can quickly, during the game, teach him to count and teach him to perform basic arithmetic. At the same time, classes take very little time, starting with a few minutes a day, the duration of the lesson can be gradually increased to half an hour. The amazing speed with which the child will master the material will be your reward for the effort spent.