Learn multiplication in a playful way. Children's games
The multiplication table, without exaggeration, is one of the foundations of mathematical science. Without her knowledge, learning mathematics and algebra will become very difficult, if not impossible.
Yes and in everyday life The multiplication table is in demand almost every day. That is why so much time is devoted to its development in elementary school.
However, studying the Pythagorean table cannot be called easy: the skill of multiplication is difficult to master, and remembering all this considerable mass of numbers is also not easy for a child.
The task of parents is to help children learn the multiplication tables, making the process interesting and at the same time effective.
Simple Ways to Teach Children Multiplication Tables
The good old counting material, as well as various “tips” in the form of rhymes, songs and interesting, memorable pictures, have also not been canceled.
Having an idea of the basic teaching methods: memorization, play, visualization, parents are able to independently teach their child the multiplication table.
Memorization
The task of “learning a table” also involves literally memorizing it. It has been noted that it is much easier to remember material in poetic form or in the form of a song, especially when it comes to children.
If you organize and rhyme multiplication examples, then all the necessary numbers will really be fixed in memory much faster.
You can use any poems (for example, you can learn with your child the words of the song by V. Shainsky and M. Plyatskovsky “Twice two is four”). And parents with imagination can connect it and come up with their own rhymes, it’s easy, for example: “six seven is forty two, an owl has flown to us.”
On extreme case, if the table is not memorized in any way, there remains a routine method, but proven by more than one generation of schoolchildren - to memorize it. However, keep in mind that children do not like this method at all.
It should be remembered that memorization cannot be the only method of teaching a child the multiplication tables. It is important not only to remember the sequence of numbers, but also to understand the essence of the action itself. This is what will help a child at an older age solve complex multiplication examples.
Visualization
Another way to master the Pythagorean table is its visualization, which involves the use of all kinds of visual materials.
These could be:
- counting materials;
- pictures;
- and even fingers!
Using counting material, be it sticks, geometric figures or something else, you can show your child the essence of multiplication (“6 x 5” means “take 6 times 5 objects”).
In addition, the child can count the presented figures and make sure that the answer is exactly the same as in the Pythagorean table.
Using pictures
If a child loves to draw, this is a great reason to study the table using pictures.
The principle of operation is approximately the same as in the case of counting material, only instead of placing 5 sticks in front of the young mathematician 6 times, you can draw 6 squares/cakes/cars with 5 dots/cherries/bunnies inside each directly opposite the example.
True, it will be difficult to draw entire pictures when multiplying large numbers.
On your fingers
A good option would be to study part of the Pythagorean table, namely the column with nine, on the fingers. This kind of life hack will interest any child.
Place your hands in front of you, palms facing out, and number them mentally from 1 to 10, starting with your left little finger. Tabular examples of multiplication with the number 9 are solved very simply: just bend the finger whose number coincides with the second factor.
So, multiplying 3 by 9, bend the middle finger on the left hand. The fingers that are located before the curved one (there are two of them) indicate the number of tens, and the rest (there are seven) - the number of units.
In total, the answer is 27. Fast, easy and interesting!
Through educational cartoons and programs
As visualization tools, of course, you can use educational cartoons, applications on mobile devices and programs on a PC, if there is such an opportunity and the parents are not against such a pastime for the child.
Of course, all means are good for learning such a rebellious multiplication table, but remember that everything should be in moderation, and do not leave your child in the care of a gadget in this difficult task, but rather join him yourself.
Game
Playful learning always attracts children. It is good to learn the multiplication table using card games. Cards are made from cardboard for each example of the table; a numerical expression (5 x 3 = ?) is written on one side, and the answer is written on the other.
Players take turns drawing cards, solving an example, and testing themselves by looking at the back. If the answer is correct, the card remains with the player; if not, it is returned to the deck. The winner is the one who has the most cards at the end of the game.
First steps in learning the table: the easiest numbers and mastering the principle
Some examples from the Pythagorean table are etched into memory almost instantly, while others, no matter how crammed they are, do not want to obey. It is logical that you need to start mastering the table with more accommodating numbers.
Thus, it will not be difficult for a child to remember a column of examples with one, since the answers will be identical to the changing factor. Next, you can begin to study the column with the number 2, because such multiplication can be easily illustrated using any available means, adding two each time.
After this, the column with four will be well remembered, because in order to multiply by 4, you need to multiply by 2 and another 2. Experienced parents have noticed that children easily master multiplication by 5, since the answers in this column only end in 0 and 5.
Well, you can figure out multiplication from 6 to 9 (plus the number 3) a little later, especially since some of them (namely, multiplying these numbers by 1, 2, 4 and 5) will already be mastered. And if you decide to use the method of multiplication on your fingers described above, then there will be no problems with nine.
When the approximate scope of work has been outlined, it remains to determine how to explain the essence of multiplication to the child so that he can understand it. To begin with, you should tell your child that this mathematical operation was invented to speed up and make counting easier.
It would be nice to come up with a vivid situation to illustrate this statement. For example: “You have 10 bags and each contains 8 candies. It will take a few minutes to count the candies in order. And if you know a tricky way - multiplication - you will only spend a couple of seconds.” Usually children like this kind of motivation.
The essence of multiplication is simple; it can be explained both visually and with the help of numbers. In the first case, using counting material, explain to the child that multiplication is “taking so many times so many times.”
If you think that the child is more likely to understand digital notation, tell him that the expression “5 x 6” is a short version of the expression “5 + 5 + 5 + 5 + 5 + 5.” Thus, multiplication not only makes counting easier, but also makes it possible to briefly write down the sum of identical terms.
This means that math homework will take much less time - isn’t it a great reason to memorize the table?
How to consolidate the result?
The best way to consolidate a skill is to put it into practice. To make mastering the Pythagorean table successful, do not forget to put your child’s new knowledge to use.
While walking, ask them to tell you how many wheels four cars have, how many legs five cats have. At dinner, find out how many plates to put on the table if each of the three diners needs two. Review table multiplication cases in verse from time to time.
To memorize the multiplication tables and outside of school hours, many parents advise simply hanging Pythagorean tables in different places at home so that the child can repeat the material covered at any time.
In a good way consolidation of knowledge is also a game. Use the cards mentioned above for it. Play with the whole family, let adults sometimes make mistakes on purpose, so that the child can correct them, demonstrating his knowledge.
How to help your child learn and remember information faster?
Mastering the multiplication table is not a very fast process. However, at school the number of hours for any material is limited, and, of course, the teacher in the next lesson (and mathematics lessons in elementary school are usually daily) will already require a certain result.
Therefore, parents need everyone possible ways Help your child quickly understand and remember the information received.
When studying the Pythagorean table with your child, draw his attention to the fact that many examples are repeated in it, only the numbers in the first part of the numerical expressions are swapped: 3 x 7 = 21 and 7 x 3 = 21.
Having understood this, the child will quickly realize that he will not have to learn about half of the table at all and, in fact, the number of examples that need to be remembered is much less than it seems at first glance! For clarity, repeating examples can be highlighted in the table with the same color.
You can draw the child's attention to some interesting facts, discovered during a detailed study of the Pythagorean table and associated with the reduction of numbers (that is, following the method of Pythagoras himself, adding the numbers that make up the two-digit numbers of the table).
So, in the column with nine, the sum of the digits of each two-digit number in the answer will be equal to 9. If you reduce the numbers in the column with the number eight in this way, you will get a sequence from 8 to 1 in order. In the column with a six the sequence 6, 3, 9 will be repeated three times, and in the column with a three - 3, 6, 9.
You can show the little conqueror of big mathematics this trick: if you take the first answer in the column with nine as 09 (and not just 9), then the numbers in the answers will line up in two columns, and the left one will be a series of numbers arranged in order from 0 to 9 , and the right one - from 9 to 0.
It would be nice if you can provide your child with a multiplication table in the form of a square, along the edges of which the numbers from 1 to 9 are written, and the results of their multiplication are written inside. By drawing lines from the factors above and to the left, at their intersection you can see the desired number.
It is important to explain to the child that the result of a numerical expression can be found in any way: you can remember the result, or you can count on your fingers or apply knowledge of “tricks”; in extreme cases, it is even permissible to quickly perform addition.
Or, for example, if you forgot how much 9 x 3 is, then surely you can remember how much 3 x 9 is? Ability to use in different ways to solve the problem it will be useful to the baby in life.
How to teach your child to cope with complex examples?
Before proceeding with complex examples, you need to make sure that the child knows the source material by heart - the Pythagorean table. If you managed to cope with this, you can start multiplying a two-digit number by a single-digit number.
Explain to your child what is necessary in this case:
- Write the numbers in a column, two-digit numbers on top.
- Multiply by a single-digit number, first the units of the two-digit number, then the tens (then you can increase the digit capacity of the first multiplier, mentioning that each larger digit is multiplied after the smaller one);
- If, when multiplying one digit by a single-digit number, a two-digit number is obtained, then a figure indicating the number of units of the resulting number is written below the line, and a figure indicating the number of tens is written above the next digit of the first multiplier and added to the number obtained by multiplying this digit by a single-digit number.
It sounds complicated, but with an example everything is much simpler. After some time, with the help of the school curriculum, the child will master this action and will be able to move on to more complex calculations. Remember that there is no point in specifically asking your child too difficult tasks - everything has its time.
Interest, motivation, play - this is what is at the forefront of education today, especially when it comes to young children. It has been proven that if a child is passionate about the material, he learns it much faster and better.
Cramming is a good option, but its results are often short-lived: after writing an important test or passing an exam, we happily forget what we repeated day and night a couple of days ago. That is why it is important to make the study of complex material, such as the Pythagorean table, interesting for children.
There are different ways to do this:
- motivation - an explanation of where the child’s superpower to multiply numbers will come in handy and how much better it is to multiply them quickly than to add them slowly;
- stimulation, in other words, the promise of something pleasant when achieving a result (but remember that this method cannot be abused, otherwise one fine day you simply will not be able to afford the next “nice thing”);
- praise: for every small step forward, the child should be praised, and it is good to encourage significant progress with an exciting walk, a joint game or a trip to the cinema or museum, and at the same time you can repeat a couple of examples;
- learning in a playful way: to test the child’s knowledge, use not mathematical dictations or tests - he has enough of them at school - but games (the same card or computer). Or arrange a family-wide educational quiz or even a quest with a search for objects using hints, which can only be obtained by solving the example correctly.
Do not forget that you cannot load your child with an excessive amount of material in one lesson; in the end, the child will get bored and will not learn even half of it, and even if he learns, he will have time to forget. Let your home lessons not be too long, then the student will not have time to get bored with multiplication.
It is important to take breaks during classes so that the child can warm up and change the type of activity. And in order not to deviate from the topic, you can conduct a mathematical physical exercise: the parent throws the child a ball with a question, for example, “Five five -?”, He catches it and throws it back, voicing the answer.
What mistakes are important to avoid when working with a child?
Memorizing the multiplication table is not an easy task. The efforts of children do not always bring results immediately, and the patience of parents and grandparents is not unlimited. However, by using the ability to think in time, we can protect ourselves and the child from our own rash words and actions.
So, under no circumstances should you:
- rush your child if, in your opinion, he takes too long to solve an example (if, of course, he actually solves it and is not distracted by drawing or something else);
- scolding a child, and even more so giving him unflattering assessments and nicknames - this will not add motivation to him, but a reluctance to study may arise;
- expect to quickly assimilate a large amount of material and be upset when this does not happen (and this will not happen);
- compare the child’s successes with the successes of his friends, classmates and brothers (in any case, one of the children will have to be elevated over the other, which is unlikely to make the relationship between them better).
Every parent can help their child learn the multiplication tables. It is enough to show a little patience, imagination and interest - then the work will go like clockwork. By studying with interest, rather than cramming boring material under pressure, children will learn multiplication more willingly and quickly.
Where to start learning the multiplication table?
Experienced teachers know that starting with simply memorizing examples is a mistaken, very ineffective and tedious path. Therefore, they do not ask to learn the first column of the multiplication table today, the second column tomorrow, etc.
It is much more effective to spend some time understanding the operation of multiplication, replacing each example with the sum of identical terms, counting by twos, threes, fours, etc. And only after that begin to memorize the examples themselves.
You can initially accompany each example with a picture, for example, as in our online game “Multiplication Tables with Pictures.” Click on the arrows to increase or decrease the multipliers, and watch how the number of apples in the picture changes:
Online game “Multiplication tables with pictures”
How to play:
To understand what multiplication is, write each example as a sum, starting with multiplying the number 2 by the numbers 1 to 10. Set the first number to 2 (click the second arrow). Then increase the second number (press the fourth arrow) by saying or writing:
2 X 2 = 2 + 2 = 4
2 X 3 = 2 + 2 + 2 = 6
2 X 4 = 2 + 2 + 2 + 2 = 8, etc.
That is, in each subsequent example there is an increase by 2.
After going through the multiplication of the number 2, set the first number to 3 by clicking on the second arrow, and the second number to 1 by clicking on the third arrow several times. And then go through the multiplication of the number 3.
This way you will go through all the multiplication tables and learn to count in twos, threes, fours, etc.
This skill will significantly reduce the load on memory when memorizing the multiplication table and will make memorization more meaningful.
Interactive multiplication table
To multiply two numbers, click one of the numbers in the top yellow row and the second number in the left yellow column. The intersection of the blue bars will show the result of the multiplication.
By the way, the table clearly shows that when multiplying two numbers, the same result is obtained, regardless of where they stand, that is, 3 X 4 = 4 X 3, etc. This means that you will have to learn half as many examples if you memorize pairs of numbers. (For example: 8 and 2 - 16, 5 and 7 - 35).
Online simulators “Learning the multiplication tables with Lisa Simpson”
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They will help you consolidate the multiplication tables online games— simulators in which you can choose numbers and difficulty.
Here is a free online game with multiplication tables. A mouse is enough to play. Choose pairs of chips with the same result. For example, 2x2 and 4. Or 6x6 and 36.
Rules of the game:
- Remove chips with the same result;
- Each level must be cleared within a certain time;
- The remaining time is shown by the indicator at the bottom;
- The higher the level, the less time is given;
- For removing the correct chips, a time bonus is given;
- You can play endlessly, the number of levels is unlimited.
If you forgot the multiplication table, you can press the button with a question mark and look at it. After this, the game will start again. Thus, if you want to score more points, play without tips!
Endless game or...
The game ends when the time allotted for the level runs out. Then a window appears with the number of points scored and levels achieved.
Who even came up with this idea - to make a game based on the Pythagorean table?
Once again playing Bejeweled, received as a gift from Origin, one programmer thought - what if we use the same or similar mechanism in an educational game. He tried it and liked it. After all, the principle remains the same - collect combinations.
Multiplication table combinations? Yes, you are laughing!
Not at all. Millions of people collect combinations of three chips in different games, and even rejoice. A in Pythagoras you need to collect combinations of just two chips. Click on one, click on the other. It doesn’t matter where they are located - the game does not impose any additional restrictions. It is only important that the value of the chips be the same.
The first levels are too easy, but I thought...
The first levels consist of only 4 chips or two pairs. This is done to quickly enter the game so that the brain can wake up and gradually work at full capacity. Every three levels the number of chips will increase until it fills the entire field.
When the chips fill the entire field and you have 40 seconds left,
Let's see if you call it too easy?
The difficulty stops increasing in the program after the chips fill the entire field. But it will increase in your brain - due to fatigue. Unless, of course, you are a genius calculator like the Soviet millionaire Koreiko.
What if the chip doesn't have a pair?
The game is made in such a way that chips always have pairs. She takes pieces of the multiplication table in the form 2x2 = 4, and then places the factors on one counter and the results on another. Thus, each level has a solution. But perhaps it’s just that you forgot something from the multiplication table. This is the test - do you remember this magic well?
I liked the game, how can I thank the developer
Show this page to as many people as possible. :)
Strategies and Tips
Why is everything so bright, like in a kaleidoscope?
The world is already full of dull multiplication tables and colorless games with them. And most importantly, colors have an additional function.
Products are in white, multipliers are in black.
All chips with multipliers are painted in lighter colors. And the font on them is black.
Chips with the result of multiplication, on the contrary, are painted in darker, more intense colors. And the font on them is white.
Moreover, the colors contain an additional hint that I, as a programmer, did not specifically plan, but it turned out naturally.
You can also win by color!
This is a secret strategy that makes the game easier by knowing the color of the winning chips.
All colors can be divided into pairs:
- Yellow - red
- Light blue - dark blue
- light green - dark green
So, paired chips with multipliers and results are always paired not only by numerical value, but also by color. For example, look at this picture
Light blue and dark blue are paired colors
If you choose a blue chip with a 4x7, the choice of paired chips is reduced to dark blue ones. At this point in the game it's 28 and 63. If you've forgotten the exact product of 4 and 7, you can randomly poke one of these dark blue tiles (very dark, actually). Not a bad strategy for those who don't like math.
So, along the way, in addition to the multiplication tables, you can train your attention and eye.
I see chips with the same numbers! Is this a bug?
This is a consequence of the fact that many products in the multiplication table are repeated. For example, 36 can be formed as 9x4. Or like 6x6.
Two red thirty at the top is not a bug,
and the results for 5x6 and 6x5, which fell in the same series
You can remove tiles with the same numbers as pairs. But remember - after this you will have to find their factors. And comparing different multipliers is much more difficult.
Hint: chips with different multipliers, but the same result, are also counted as a pair! You can choose 3x4 and 2x6 and that will be the right pair- because these products have the same result (12).
Multiplication table used in the game
You can try to play by looking at this table. At the very least, you will train your attention :)
Schoolchildren find the table boring and useless. Children often get angry and upset when trying to figure out a set of numbers that is incomprehensible to them. Parents can make learning easier and fun by preparing ahead of time.
The main rule in learning the multiplication tables is to interest the child. Like adults, they perceive information differently. Some children like to learn poems and songs. Others can sit quietly with their parents at the table and look at the Pythagorean table.
How to teach a child the multiplication table (picture)
Help your child remember the multiplication table easily:
- Cards;
- Counting figures, sticks;
- Special programs for tablet and phone;
- Educational videos and cartoons;
- Poems and songs;
- Pictures;
- Child's fingers.
Game methods are captivating and give quick results. It is better to start classes in a good mood, when the child is ready to study.
Learning the multiplication tables: life hacks and videos
It is important to understand how a child can more comfortably perceive information so that the process does not turn into “cramming.” It's very simple:
Auditory children They learn new things better through conversation. They enjoy learning numbers by repeating examples out loud. Good option remember the multiplication table - learn poems, songs or watch educational videos.
Learning the multiplication table (video)
Visual child learns more easily if vision and imagery are involved. They absorb information using bright drawings, coloring games that feature large color fonts and numbers.
Multiplication table coloring game (picture)
Also, with a visual child, you can watch educational cartoons in which your favorite characters act as a teacher.
Multiplication table by 9 with Fixies (video)
Kinesthetic children learn through the sensations and feelings they have when coming into contact with new objects and information. In this case, you can try the card method.
Learning the multiplication table using cards (video)
It's important to consider how your child learns best so that learning times tables will be fun and easy.
How to learn the multiplication tables in 5 minutes a day
Kukina Ekaterina Georgievna
mathematics teacher
You've probably heard the opinion more than once that the level of mathematics education is falling.
When my children were in second grade, I clearly understood why the level of mathematics education at school was falling. It is in the second grade, when laying the very foundation of mathematical education, that such a gigantic irreparable hole appears, which cannot be supported by any crutches in the form of calculators.
Namely, the main problem is in the multiplication table. Look at the checkered notebooks that your schoolchildren have.
I went shopping for a long, long time looking for notebooks. And all the same, for everyone - this is the picture.
Multiplication table (picture)
There are even worse notebooks (for high school students), in which there are no multiplication tables, but there are a bunch of meaningless formulas.
Well, why is this notebook bad? An unsuspecting parent sees that there is a multiplication table on the notebook. It seems like you’ve had multiplication tables on your notebooks all your life? What's wrong?
But the problem is that the notebook does NOT contain the multiplication table.
The multiplication table, my dear readers, is this:
Sometimes this same table is even called the beautiful word “Pythagorean table”. You don't have to take the top and left columns, just the main rectangle.
Firstly, this is a table. Secondly, she is interesting!
No child in his right mind would look at examples written out in columns.
Not a single child, no matter how brilliant he may be, will be able to find interesting features and patterns in the written examples.
Well, in general, when the teacher says: “learn the multiplication table,” and the child doesn’t even see the table in front of him, he immediately understands that mathematics is a science where ordinary things are named somehow differently and you need a lot, a lot cram, but it’s impossible to understand anything. And in general, we must do it “as it is said,” and not “as it makes sense.”
Why is the Pythagorean table better?
Firstly, there is no garbage and information noise in the form of the left side of the examples.
Secondly, you can think about it. It’s not even written anywhere that this multiplication is just a table.
Thirdly, if it is always at hand and the child constantly bumps into it, he willy-nilly begins to remember these numbers. In particular, he will never answer the question “seven and eight” with 55 - after all, the number 55 is not and never was in the table!
Only children with abnormal memory are able to remember columns of examples. In the "table" you need to remember much less.
In addition, the child automatically looks for patterns. And he finds them himself. Even such patterns are found by children who do not yet know how to multiply.
For example: numbers that are symmetrical relative to the diagonal are equal. You see, the human brain is simply determined to look for symmetry, and if it finds and notices it, it is very happy. What does this mean? This means that the product does not change when the factors are rearranged (or that multiplication is commutative, to put it more simply).
Pythagorean table: multiplication (picture)
You see, the child notices this himself! And what a person came up with himself, he will remember forever, unlike what he memorized or was told.
Remember your math exam at university? You forgot all the theorems of the course, except for the one you got, and you had to prove it to the evil teacher! Well, that is if you didn’t cheat, of course. (I'm exaggerating, but it's almost always close to the truth).
And then the child sees that he can not learn the whole table, but only half. If we already know the line of multiplication by 3, then we do not need to remember “eight by three,” but just remember “three by eight.” Already half the work.
And besides, it is very important that your brain does not accept dry information in the form of some incomprehensible columns of examples, but thinks and analyzes. Those. is training.
In addition to the commutativity of multiplication, one can notice, for example, another remarkable fact. If you point at any number and draw a rectangle from the beginning of the table to that number, then the number of cells in the rectangle is your number.
Pythagorean table: multiplication (picture)
And here multiplication already takes on a deeper meaning than just an abbreviated notation of several identical terms. It also makes sense for geometry - the area of a rectangle is equal to the product of its sides)
You have no idea how much easier it is to divide with such a table!
In short, if your child is in second grade, print out this correct multiplication table for him. Hang a big one on the wall so he can look at it when he does his homework or sits at the computer.
And print and laminate a small one for him (or write on cardstock). Let him carry it to school with him, and just keep it conveniently at hand. (it wouldn’t hurt to highlight the squares diagonally on such a table to make it easier to see)
My kids have this one. And it really helped them in second grade and still helps them a lot in math lessons.
Pythagorean table: multiplication (picture)
Honestly, your average math score will immediately increase, and your child will stop whining that math is stupid. And in addition, it will be easier for your child in the future too. He will understand that he needs to use his brains and not cram. And not only will he understand, he will also learn to do it.
And I repeat: there is nothing wrong with the examples in columns. And the amount of information they contain is the same as in the “table”. But there is nothing good in such examples either. This is informational garbage, from which you will not immediately find what you need.
Praise more often
Come up with ways to encourage your child. These can be pleasant little things that make him happy.
Find an approach if the child is not in the mood
Forcing people to study, shouting, or completely depriving them of entertainment - such methods discourage any desire to study. It makes sense to calmly explain the importance of activities and motivate the child.
Learn the multiplication table gradually
When a child first sees how many numbers he needs to remember, a protest arises. It is better to study at a comfortable pace with rest breaks.
Remember that every child is an individual
As soon as children are compared with friends or classmates, they lose the desire to do anything. It must be remembered that each child has his own pace of learning and the caring attitude of parents is of great importance.
Saying that mistakes are normal
At the first failures, children lose interest and do not want to continue classes. It is important to explain that without mistakes there are no good results. Everything will definitely work out.
Now you know everything about how to teach your child the multiplication tables in different ways to make the stuttering process a joy.
First you need to do two things: print out the multiplication table itself and explain the principle of multiplication.
To work, we will need the Pythagorean table. Previously, it was published on the back of notebooks. She looks like this:
You can also see the multiplication table in this format:
Now, this is not a table. These are just columns of examples in which it is impossible to find logical connections and patterns, so the child has to learn everything by heart. To make his job easier, find or print the actual chart.
2. Explain the working principle
psyh-olog.ru When a child independently finds a pattern (for example, sees symmetry in the multiplication table), he remembers it forever, unlike what he has memorized or what someone else told him. Therefore, try to turn studying the table into an interesting game.
When starting to learn multiplication, children are already familiar with simple mathematical operations: addition and multiplication. You can explain to your child the principle of multiplication by simple example: 2 × 3 is the same as 2 + 2 + 2, that is, 3 times 2.
Explain that multiplication is a short and quick way to do calculations.
Next you need to understand the structure of the table itself. Show that the numbers in the left column are multiplied by the numbers in the top row, and the correct answer is where they intersect. Finding the result is very simple: you just need to run your hand across the table.
3. Teach in small chunks
ytimg.com There is no need to try to learn everything in one sitting. Start with columns 1, 2 and 3. This way you will gradually prepare your child to learn more complex information.
A good technique is to take a blank printed or drawn table and fill it out yourself. At this stage, the child will not remember, but count.
When he has figured it out and mastered the simplest columns well enough, move on to more complex numbers: first, multiplying by 4–7, and then by 8–10.
4. Explain the property of commutativity
blogspot.com The same well-known rule: rearranging the factors does not change the product.
The child will understand that in fact he needs to learn not the whole, but only half of the table, and he already knows some examples. For example, 4×7 is the same as 7×4.
5. Find patterns in the table
secretwomans.ru As we said earlier, in the multiplication table you can find many patterns that will simplify its memorization. Here are some of them:
- When multiplied by 1, any number remains the same.
- All examples of 5 end in 5 or 0: if the number is even, we assign 0 to half the number, if it is odd, 5.
- All examples of 10 end in 0 and begin with the number we are multiplying by.
- Examples with 5 are half as many as examples with 10 (10 × 5 = 50, and 5 × 5 = 25).
- To multiply by 4, you can simply double the number twice. For example, to multiply 6 × 4, you need to double 6 twice: 6 + 6 = 12, 12 + 12 = 24.
- To remember multiplying by 9, write down a series of answers in a column: 09, 18, 27, 36, 45, 54, 63, 72, 81, 90. You need to remember the first and last number. All the rest can be reproduced according to the rule: the first digit in a two-digit number increases by 1, and the second decreases by 1.
6. Repeat
medaboutme.ru Practice repetition often. Ask in order first. When you notice that the answers have become confident, start asking randomly. Watch your pace too: give yourself more time to think at first, but gradually increase the pace.
7. Play
utahpubliceducation.org Use not only standard methods. Learning should captivate and interest the child. Therefore, use visual aids, play, use different techniques.
Cards
The game is simple: prepare cards with examples of multiplication without answers. Mix them, and the child should pull out one at a time. If he gives the correct answer, we put the card aside, if he gives the wrong answer, we return it to the pile.
The game can be varied. For example, giving answers on time. And count the number of correct answers every day so that the child has a desire to break his yesterday’s record.
You can play not only for a while, but also until the entire stack of examples runs out. Then for every wrong answer you can assign the child a task: recite a poem or tidy things up on the table. When all the cards have been solved, give them a small gift.
From the reverse
The game is similar to the previous one, only instead of cards with examples, you prepare cards with answers. For example, the number 30 is written on the card. The child must name several examples that will result in 30 (for example, 3 × 10 and 6 × 5).
Examples from life
Learning becomes more interesting if you discuss with your child things that he likes. So, you can ask a boy how many wheels four cars need.
You can also use visual aids: counting sticks, pencils, cubes. For example, take two glasses, each containing four pencils. And clearly show that the number of pencils is equal to the number of pencils in one glass multiplied by the number of glasses.
Poetry
Rhyme will help you remember even complex examples that are difficult for a child. Come up with simple poems on your own. Choose the most simple words, because your goal is to simplify the memorization process. For example: “Eight bears were chopping wood. Eight nine is seventy two.”
8. Don't be nervous
Usually, in the process, some parents forget themselves and make the same mistakes. Here is a list of things that you should never do:
- Force the child if he doesn't want to. Instead, try to motivate him.
- Scold for mistakes and scare with bad grades.
- Set your classmates as an example. When you are compared to someone, it is unpleasant. In addition, you need to remember that all children are different, so you need to find the right approach for each.
- Learn everything at once. A child can easily be frightened and tired by a large volume of material. Learn gradually.
- Ignore successes. Praise your child when he completes tasks. At such moments he has a desire to study further.
