Learning the multiplication table is easy if you use a game learning methodology.

It is difficult for a primary school student to immediately master such a mathematical operation as multiplication. Persistent classes will certainly bear fruit, but first you need to understand the reasons for the difficulties of the baby.

It often happens that a child who successfully masters the elementary school program experiences difficulties in completing the topic “Multiplication”. Parents do not need to panic and do not scold the baby.

Tip: Do extra activities to help your son or daughter remember these simple steps.

How to teach a child to multiply, how to explain?

Second grade students have difficulty memorizing the multiplication table, as children do not understand the essence of the mathematical operation "multiplication". How to teach a child to multiply, how to explain:

• Take counting sticks and place them on the table in pairs. For example, 4 pairs. The child must count how many sticks are on the table
• Let the kid write down the addition as an example: 2+2+2+2=8. Explain to the child the features of this action: the same numbers are added
• Continue the series of terms and place two or three more pairs of sticks on the table. Write down an example on paper: 2+2+2+2+2+2= 12
• Explain to the child that this action can be written as a multiplication: 2x6 = 12
• Now invite the child to perform one more action. Lay out on the table, for example, 8, 9 or 10 pairs of counting sticks. Let the kid independently compose the multiplication action. You will see with what interest he will do it.

Important: When the multiplication "by 2" is mastered, you can move on to more complex actions.

Multiplication table simulator

Important: It is good for children's memory when a child sees a visual mathematical action. Buy posters with the multiplication table or draw it yourself on a piece of A1 paper.

Explain to the child that he only needs to memorize 36 combinations. Other steps are repetitive or very simple.

When the baby understands the peculiarity of these actions, the entire multiplication table will seem easy for him. The simulator will help the memory to remember complex actions and memorize simple actions without spending a lot of time on them.

Video: Multiplication table

Video: Teaching a child the multiplication table is very easy and simple

Video: Visual multiplication table. Video clip counting.

It is easy to multiply any number by "2", since this is the addition of this number twice.

2x1=2(2 is repeated 1 time - it turns out 2)

2x2=4(2 is repeated 2 times - it turns out 4)

2x3=6(2 repeated 3 times = 6)

2x4=8(2 repeated 4 times = 8)

2x5=10(2 repeated 5 times = 10)

2x6=12(2 repeated 6 times = 12)

2x7=14(2 repeated 7 times = 14)

2x8=16(2 repeated 8 times = 16)

2x9=18(2 repeated 9 times = 18)

2x10=20(2 repeated 10 times = 20)

Explain to the child with a good example how the multiplication by "3" takes place, so that he understands. Then he will be able to quickly remember this action.

3x1=3(3 is repeated 1 time - it turns out 3)

3x2=6(3 is repeated 2 times - it turns out 6)

3x3=9(3 repeated 3 times = 9)

3x4=12(3 repeated 4 times = 12)

3x5=15(3 repeated 5 times = 15)

3x6=18(3 repeated 6 times = 18)

3x7=21(3 repeated 7 times = 21)

3x8=24(3 repeated 8 times = 24)

3x9=27(3 repeated 9 times = 27)

3x10=30(3 repeated 10 times = 30)

The fourth column of the multiplication table is still easy and the child will easily remember it. Help the baby with your tips and support in the form of words of encouragement and praise, and he will definitely be able to do everything.

4x1=4(4 is repeated 1 time - it turns out 4)

4x2=8(4 is repeated 2 times - it turns out 8)

4x3=12(4 repeated 3 times = 12)

4x4=16(4 repeated 4 times = 16)

4x5=20(4 repeated 5 times = 20)

4x6=24(4 repeated 6 times = 24)

4x7=28(4 repeated 7 times = 28)

4x8=32(4 repeated 8 times = 32)

4x9=36(4 repeated 9 times = 36)

4x10=40(4 repeated 10 times = 40)

The fifth column of the multiplication table is easy mathematical operations. To get the result, you need the number by which "5" is multiplied, first multiply by "10", and then divide in half.

Important: When a child understands how numbers are multiplied by "5", a logical chain of each action from this column will appear in his head over time. Thanks to this, he will already be able to multiply by "5" instantly.

5x1=5(5 is repeated 1 time - it turns out 5)

5x2=10(5 is repeated 2 times - it turns out 10)

5x3=15(5 repeated 3 times = 15)

5x4=20(5 repeated 4 times = 20)

5x5=25(5 repeated 5 times = 25)

5x6=30(5 repeated 6 times = 30)

5x7=35(5 repeated 7 times = 35)

5x8=40(5 repeated 8 times = 40)

5x9=45(5 repeated 9 times = 45)

5x10=50(5 repeated 10 times = 50)

With multiplication by "6" the first difficulties appear: actions are difficult to remember, and the numbers are large.

Important: Explain to the child that the row "6x6" is a repetition of the works from the previous columns that have already been learned. It remains to learn only four complex actions.

6x1=6(6 is repeated 1 time - it turns out 6)

6x2=12(6 is repeated 2 times - it turns out 12)

6x3=18(6 repeated 3 times = 18)

6x4=24(6 repeated 4 times = 24)

6x5=30(6 repeated 5 times = 30)

6x6=36(6 repeated 6 times = 36)

6x7=42(6 repeated 7 times = 42)

6x8=48(6 repeated 8 times = 48)

6x9=54(6 repeated 9 times = 54)

6x10=60(6 repeated 10 times = 60)

The seventh column of the multiplication table is usually easier to remember than subsequent ones. It has a couple of complex actions that need to be memorized.

7x1=7(7 is repeated 1 time - it turns out 7)

7x2=14(7 is repeated 2 times - it turns out 14)

7x3=21(7 repeated 3 times = 21)

7x4=28(7 repeated 4 times = 28)

7x5=35(7 repeated 5 times = 35)

7x6=42(7 repeated 6 times = 42)

7x7=49(7 repeated 7 times = 49)

7x8=56(7 repeated 8 times = 56)

7x9=63(7 repeated 9 times = 63)

7x10=70(7 repeated 10 times = 70)

The last complex column of the multiplication table. If the child remembers the previous columns well, then it will not be difficult for him to learn the multiplication by "8". It has only two new actions: 8x8 and 8x9

8x1=8(8 is repeated 1 time - it turns out 8)

8x2=16(8 is repeated 2 times - it turns out 16)

8x3=24(8 is repeated 3 times - it turns out 24)

8x4=32(8 is repeated 4 times - it turns out 32)

8x5=40(8 repeated 5 times = 40)

8x6=48(8 repeated 6 times = 48)

8x7=56(8 repeated 7 times = 56)

8x8=64(8 repeated 8 times = 64)

8x9=72(8 repeated 9 times = 72)

8x10=80(8 repeated 10 times = 80)

The ninth column is one of the easiest. By "9" we have already multiplied all the numbers. Therefore, the baby will have to learn only one action: 9x9

9x1=9(9 repeated 1 time = 9)

9x2=18(9 is repeated 2 times - it turns out 18)

9x3=27(9 repeated 3 times = 27)

9x4=36(9 repeated 4 times = 36)

9x5=45(9 repeated 5 times = 45)

9x6=54(9 repeated 6 times = 54)

9x7=63(9 repeated 7 times = 63)

9x8=72(9 repeated 8 times = 72)

9x9=81(9 repeated 9 times = 81)

9x10=90(9 repeated 10 times = 90)

Multiplication table - game for kids

Multiplication table - game for kids

To date, you can find many different methods for memorizing the multiplication table. Mathematics is a difficult science, but for a child it should not be so. If classes are carried out correctly with the baby, then he will easily perceive and remember any information.

The easiest way to learn the multiplication table is a game for kids. If the kid will willingly go to classes, then he will be able to remember everything that will be offered to him in these classes.

Important: If you see that the child is not in the mood to engage, for example, he is naughty. Postpone the lesson until a more appropriate time.

Games for kids to learn the multiplication table quickly:

Video: Educational online game for children to quickly learn multiplication tables

Video: MULTIPLICATION TABLE. DEVELOPING CARTOON!

Video: Educational lessons and cartoons for children. Arithmetic. Multiplication table

As mentioned above, the main rule for teaching a child the multiplication table is a playful form of lessons. You can use multiplication in verses for children.

Important: Poems are well remembered because of the rhyme, which means that the multiplication table will also be perfectly stored in the baby's mind.

Poems - multiplication by 8

Multiplying by 5 - verses

Multiplying by 8 - verses

Video: Verse Multiplication table in verse

To make classes not boring, buy your child books with multiplication tables. Read them with him, and positive emotions will help you quickly memorize mathematical operations that are difficult for the baby.

Video: We improve the child's performance in mathematics - Everything will be kind - Issue 481 -10.20.14-Everything will be fine

Reading 9 min.

Nowadays, many parents believe that a child, even before entering first grade, must learn not only to write and count, but also to know the basic techniques of algebra: addition, subtraction, multiplication and division. That is why mothers and fathers face a serious question: “how to teach a child to learn the multiplication table”?

Basic rules for optimal results

Of course, you can teach a child using basic methods (they are described below). However, parents who are tuned in to how easy it is to learn the multiplication table for a child should not only learn special tricks (with which you can teach your child the multiplication table much easier and faster), but also choose the most optimal method for your baby.

Regardless of which method you choose, you must carefully observe the following rules:

1. To make learning easy for a child, frequent breaks are necessary;
2. An objective assessment of the baby's abilities is necessary: ​​a preschooler simply cannot physically learn the entire multiplication table in three hours;
3. Be sure to praise your child for every success, no matter how small;
4. It is strictly forbidden to scold a child if he cannot learn something. It is best in this case to take a short break, and then return to the stumbling block again;
5. Try to turn the study of the multiplication table into a game: if the child is interested and fun, then all knowledge will be absorbed much faster than if parents force the fidget to sit at boring books.

The basic way to learn the multiplication table

A parent who seriously thinks about how to learn the multiplication table with a child can, in a fit of inspiration, recall his own childhood: counting sticks, a blackboard, a strict teacher and a huge table completely filled with numbers. It is this table that is most often used in schools, so it is recommended to conduct at least the first lesson with it.

To begin with, you should print (or draw) two versions of the tables: the first is completely filled, and the second is only with numbers around the edges. It is desirable that the second table be large, since the child will enter the numbers on his own.

At the first lesson, try to explain to the child the basic meaning of multiplication: this is the same addition, only multiple. Take small numbers as an example to show how multiplication works. An example might look like this:

“Here are the numbers two and three. In order to multiply three by two, we need to add three and three. How much will it take? That's right, six!"

What should be done after the first “trial” lesson with the table?

If everything went well, try working with the table again: explain to your child the peculiar “mirroring” of multiplication:
“Now let's see how much is two times three. In order to calculate this, we need to add a two to the deuce, and then add the deuce again. Let's write them down in a column. How much will it take? Clever, six! You see, three times two is six, and two times three is six. So you learned the first rule of multiplication: by changing the factors (these are the numbers that you multiplied), the product (this is the number that you received in the answer) will not change!”
Be sure to praise your child.
“See how fast you counted! Learning the multiplication table is easier than it seems at first glance!”

Be patient.

If a child cannot quickly perform an addition operation, there is no need to prompt him: he will definitely count himself, he just needs more time than an adult.

If it took a little time to explain this rule, then you can start filling in the part of the multiplication table with the number 1 (usually children quickly understand the meaning of multiplying by 1). As soon as the baby's attention begins to dissipate, the lesson should be stopped - the preschooler will not learn more material.

When you click you will have a large printable table

Subsequent classes

Make a large number of cards with examples from the multiplication table. Before each lesson, be sure to let the baby solve familiar examples, otherwise the knowledge will simply be forgotten.
Small tricks will help you remember the results easier
After the kid learns multiplication involving one, you can try multiplying a number by a ten, or a dozen by a number. Teaching a child to assign an extra zero to each number will be much easier than, say, teaching him to multiply numbers by six.

Multiplication by two, three and four. Usually these actions are not difficult, since they can be easily counted on the fingers.

How to teach a child to multiply by five? It's very simple: any even number will end with 0, and odd - with 5. Counting them is a matter of technology.

Here is practically learned the entire multiplication table. But how to learn easily and quickly multiplication by the most complex numbers: six, seven and eight?

Most likely, they will simply have to be memorized: even adults often get confused in multiplying these numbers.

Is there an alternative to a table?

If during the first lessons you see that it is clearly difficult for a child to remember even the simplest examples, in no case do not swear at him, but start trying alternative methods.

The method of studying the multiplication table with the help of verses seems interesting: now there are whole books that make it possible not only to easily pull up “falling” numbers, but also to learn the multiplication table from scratch. Fairy tales about numbers are also interesting: they can jokingly tell about one of the most difficult operations of mathematics to understand: multiplication.

However, studying with the help of poems or fairy tales alone can be endlessly long without the use of such an additional technique as example cards. Remember that the child's brain needs relentless repetition - only then will the information be not only mechanically learned, but also conscious. And this is a guarantee that the baby will not forget the multiplication table until old age.

How to understand in advance whether it is easier to learn the multiplication table by a simple table or by adding poetic games with a child? Remember the character of the kid: if he is a pronounced humanist, then the games will definitely appeal to him, thereby making the learning process more exciting.

Toys always help

If you have absolutely no idea how you can quickly help your child learn this complex multiplication table, then use a win-win option: your baby's favorite toys.

The only criterion for toys is that any outsider should easily understand that they illustrate precisely multiplication. For example, when multiplying three wheels from a car by two, you should get exactly six wheels, and not four wheels, a bumper and a headlight (in this case, it will be extremely difficult to teach a child!). Also, if you have chosen learning with toys, then you should not try to teach your child to count on his fingers instead - these are two completely different methods!

One of the most interesting ideas was the idea of ​​one father to put into action a huge amount of LEGO parts, which were scattered in huge quantities throughout the apartment. Taking the smallest detail as a unit, the father began to show his son the basics of multiplying by two, by three and by four (after all, there were a lot of LEGOs, so they did not experience a shortage of pieces). As a result, all classes were held in the form of a game, and the father could not even think that it would be so easy and fast to teach his son to multiply!

Many parents have helped to use interactive sound posters in teaching. In this case, memorization is better than in the process of a regular lesson or cramming by heart.

Fingers and multiplication

Oddly enough, but you can quickly learn the multiplication table even on your own fingers!

Many parents disapprove of the habit of children to check all the results of calculations on the fingers, arguing that it is easy to count only small numbers on the fingers.

In fact, this is not entirely true: you can easily learn the multiplication table (and quite quickly!), Using only your own fingers and knowledge of interesting mathematical patterns (however, this will not save the kid from solving examples to repeat the material).

Multiplying by NINE with your fingers - the result is instant

Of course, with the simplest examples, everything is clear: ten fingers are enough for the calculation. But what about multiplying by nine?

In fact, you can: for example, multiplying by nine is insanely fast: in just one step. It is necessary to count (starting from the left thumb) up to the number that we multiply by nine (or by which we multiply nine). Numbers to the left of it will give tens, and numbers to the right will give ones. This is truly a fantastic way. Much easier to multiply by nine.

Of course, it is extremely difficult to learn a table in this way without repetition, therefore, when choosing this approach, a large number of practical tasks are required.

Change is needed

Regardless of the age of the baby, he needs a large number of breaks (preferably every 10-15 minutes), otherwise it will not be easy to learn the basic laws of multiplication: after 10 minutes of continuous training, the child will continually be distracted by a cat, a ray of the Sun looking out the window, ringing in the street and so on.

How to maximize the level of effectiveness of classes? First, it is worth drawing a table with a clear lesson plan (it should contain small breaks) and follow it all the time.

Secondly, it is necessary to show imagination: you can also learn the material in a playful way. For example, you can create your own card game.

Game example: cards are created (their number may vary, repetitions and bonus cards are possible). The main thing is that the child knows all the examples on the cards involved in the game. The basic rule of the game is that the player, without looking, draws a card and solves an example in a certain time. The one who scores the most points wins. Bonus cards can add an amount of time, give you the option to choose an example, and so on.

Thirdly, feel free to divide into parts: learning one large table is more difficult than many small tablets.

In addition

• It would be a good idea to hang a table above the baby's bed, as well as in his playroom: even without studying, he will automatically glide over it with his eyes, thereby gradually remembering the numbers;
• Train all the skills of the child more often: instead of multiplying seven by eight, invite the child to name numbers that, when multiplied by each other, will give 56;
• If your child is already in school, ask the teacher about her teaching methods. It may be worth using a similar method to learn the material faster;
• Be patient: it is easier for a child to learn the material when he is not limited in time, at least at first.

With the best free game, learn very fast. Check it out yourself!

Learn multiplication table - game

Try our educational e-game. Using it, tomorrow you will be able to solve math problems in the classroom at the blackboard without answers, without resorting to a tablet to multiply numbers. One has only to start playing, and after 40 minutes there will be an excellent result. And to consolidate the result, train several times, not forgetting the breaks. Ideally, every day (save the page so you don't lose it). The game form of the simulator is suitable for both boys and girls.

See the full cheat sheet below.

Multiplication directly on the site (online)

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Multiplication table (numbers 1 to 20)

×	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
1	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
2	2	4	6	8	10	12	14	16	18	20	22	24	26	28	30	32	34	36	38	40
3	3	6	9	12	15	18	21	24	27	30	33	36	39	42	45	48	51	54	57	60
4	4	8	12	16	20	24	28	32	36	40	44	48	52	56	60	64	68	72	76	80
5	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80	85	90	95	100
6	6	12	18	24	30	36	42	48	54	60	66	72	78	84	90	96	102	108	114	120
7	7	14	21	28	35	42	49	56	63	70	77	84	91	98	105	112	119	126	133	140
8	8	16	24	32	40	48	56	64	72	80	88	96	104	112	120	128	136	144	152	160
9	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135	144	153	162	171	180
10	10	20	30	40	50	60	70	80	90	100	110	120	130	140	150	160	170	180	190	200
11	11	22	33	44	55	66	77	88	99	110	121	132	143	154	165	176	187	198	209	220
12	12	24	36	48	60	72	84	96	108	120	132	144	156	168	180	192	204	216	228	240
13	13	26	39	52	65	78	91	104	117	130	143	156	169	182	195	208	221	234	247	260
14	14	28	42	56	70	84	98	112	126	140	154	168	182	196	210	224	238	252	266	280
15	15	30	45	60	75	90	105	120	135	150	165	180	195	210	225	240	255	270	285	300
16	16	32	48	64	80	96	112	128	144	160	176	192	208	224	240	256	272	288	304	320
17	17	34	51	68	85	102	119	136	153	170	187	204	221	238	255	272	289	306	323	340
18	18	36	54	72	90	108	126	144	162	180	198	216	234	252	270	288	306	324	342	360
19	19	38	57	76	95	114	133	152	171	190	209	228	247	266	285	304	323	342	361	380
20	20	40	60	80	100	120	140	160	180	200	220	240	260	280	300	320	340	360	380	400

How to multiply numbers by a column (mathematics video)

To practice and learn quickly, you can also try to multiply numbers by a column.

When a student is faced with the task of learning the multiplication table, then, of course, parents want to help him and are looking for the fastest way to learn the multiplication table. There are a lot of techniques, but everything needs an individual approach to your little one. We will tell you about how you can easily explain the principles of multiplying numbers to your child and help him remember it in the shortest possible time.

Most likely, it will be easiest for a student to multiply by 1 and 10. This account is given very easily to kids, since there is nothing terrible and difficult. Try drawing some examples in front of the baby, such as 1*2=2, 1*5=5, 8*1=8. In any case, the number will remain unchanged.

With the 10th it will be a little more complicated, but if you explain everything to a child of 8-9 years old, that multiplying by 10 is similar to the principle by 1, but you need to add 0 to the result, then the kid will remember it very easily. Be sure to tell your student that, having learned multiplication by 1 and 10, he will already know the first and last line in all other columns.

Multiply by 2

With a deuce, it will also be easy, since you will tell the baby that the correct result can be obtained by adding the two proposed numbers. For example, if a child has an example of 2 * 6, then he just needs to add 6 + 6 together and get 12. After each lesson, be sure to take a break for at least an hour, and it is best to continue classes every other day.

Multiply by 3

With multiplication by three, you can try the same method as with two. You just need to explain to the child that 3 * 4 and 4 + 4 + 4 will equally equal 12. If this method is absolutely not suitable for your child, then try playing with associations. First, ask the baby to dream up and draw his associations to the numbers from 1 to 9.

After that, start making up a story for each example, and so the student will remember the 3 sign much faster. Let your child play with these drawings and make up stories for them. You can draw your own story for each example, so it will be much easier to remember.

Multiply by 4

To make it easy for your baby to remember multiplying by 4, remind him of the principle that was used when he studied columns with a deuce. But only now we will need to double the desired number and double the result. For example, 4*4= 4*2=8*2=16.

Multiplication table 4

Multiply by 5

When studying the action by 5, you should immediately draw the attention of your 8-9 year old child to the fact that on the result of multiplication in this column, all results will end either in 5 or in zero. Also note that 5 is half a dozen. Therefore, the answers will be easier to multiply the number not by 5, but by 10 and then divide the result in half. For example, we need to find the answer to the example 7*5. Try 7 * 10, it will be 70. Now divide 70 by 2 - it will be 35.

Multiply by 6

For the six, there is also a way to make memorization easy for children of 8 years old, and this column of the plate was learned in an hour. Try to remind the kid how he learned the tablet for 3 and invite him to add the same number to the result. For example, 3*5=15 means 6*5=3*5+15=30.

Multiplication table 6

Multiply by 7

If multiplying to 6 is no longer a big deal for a child of 8 years old, then understanding how to multiply by 7 will be easy for him. If you need 7 * 2, then you just need to add 7 and 7, you get 14. An example of 7 * 4 will mean that the number needs to be doubled twice and so on. Separately, you will need to write down and learn only the multiplication by 7, 8 and 9.

Multiply by 8

By analogy with the previous methods, multiplying by 8 can be compared to four, only the result will need to be doubled three times. If in our example it is written that 4 * 8, then we multiply 2 by 4, the resulting eight by two more, we get 16 and then we multiply this result by another 2 and get 32.

Multiplication table 8

Multiply by 9

There is a simple and very easy method for multiplying by 9 on your fingers. It will definitely appeal to children 8-9 years old, since you can learn it in just a few minutes, and not in an hour or two.

Ask the student to place their pens on the table, palms down. Count your fingers from left to right. So, for example, we have an example of 7*9. We count 7 fingers on the right. We bend the finger on which we stopped the count. How many fingers are not bent to the left of the seventh - six.

So, we will have six tens in the answer. How many fingers to the right of the bent one - three. This will be the number of units in the answer. So we realized that the answer is 63. Such a study of the multiplication tablet on the fingers will be useful. Do not scold the baby that he uses this method for too long. It is this method that will allow the baby to firmly and firmly remember the multiplication by 9.

Multiplication table 9

How to multiply numbers by a column

Of course, after a child of 9 years old has learned the multiplication table well, he will need to be taught to multiply two-digit numbers in a column, and then three-digit numbers. Numbers that are multiplied by each other are called multipliers. They are called the first multiplier, the second multiplier, and so on. The result of multiplication will be called "product".

To multiply two numbers, you will need to arrange them in a column on top of each other so that units are above ones, tens over tens, and so on. The next step is that the top number will need to be multiplied by the digit of the bottom number. First, one is multiplied, then tens, hundreds, and so on. The result must be written below the line.

If as a result of multiplication you get a number that is more than ten, that only the last digit of the result goes under the line, and ten, if any, is written on top. Then this ten must be added to the result of multiplying ten by one. Multiplying the top number by tens and hundreds of the bottom number follows the same rules.

If you give your child the opportunity to calmly learn this or that method of memorizing the multiplication table, then he will quickly begin to count. Do not insist if the baby does not want to engage. You may well follow the lead of the child, allowing him not to repeat the table.

Show him specific examples in life where the table can be useful to him. For example, ask your daughter to count how many sweets you need to buy so that her girlfriends all get three. It will be easy and interesting for a girl to find the answer, since this directly concerns practice and life.

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All parents sooner or later find themselves in a difficult situation, a way out of which is quite difficult to find. This problem occurs when a child needs help learning the multiplication table.

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Parents have known this problem since childhood, but before it was much more difficult to cope with it. After all, the modern Internet provides parents and children with a variety of methods for mastering the Pythagorean table, helping to remember the multiplication table in a playful way. For classes with a child on the Internet, you can find rhymes, songs, video and audio lessons, game scripts, which can help ease the task of parents and children in this difficult task.

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But among the proposed methods, parents will have to choose the most suitable and effective one for their child, since each child requires an individual approach to learning, so the methods used should be based on the characteristics of the character and abilities of the child.

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This article analyzes the most popular methods for memorizing the multiplication table, among which each parent will find the one suitable for their child.

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Initially, attention should be focused on the child needs to explain the meaning of the arithmetic operation of multiplication.

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As you know, children starting to study the multiplication table already have an idea about such simple arithmetic operations as addition and subtraction.

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It is on this knowledge of the child that one should rely when explaining to him the principle of multiplication, that is, that the arithmetic operation 2x3 is identical to the example 2 + 2 + 2.

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It is necessary to ensure that the child learns this rule, which will help to overcome all possible difficulties that arise in the course of memorizing the examples of the table.

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It is also necessary to explain to the child what the system of the multiplication table is, that the number in the left column is multiplied by the number located on the top line, while the answer is that their product must be sought at the intersection point of the column and row where these numbers are located.

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Multiplication table system

A game
You should always remember that even the most boring and tedious thing for a child can be turned into an interesting activity by brightening it up with a game. Learning the multiplication table is no exception. This will help game techniques that will draw the child's attention to learning, reveal the meaning of multiplication and facilitate the task of parents. When studying with a child, one should adhere to the rule that it is always easier and faster to remember something interesting, that is, initially you need to interest the child in the subject of study and concentrate his attention on the arithmetic operation of multiplication.

7 rules for remembering information

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• Arouse interest.
• Make associations.
• Remember in parts.
• Repeat what you remember.
• Try to understand.
• Set a goal to remember.
• Apply knowledge of this information.

For example, five times eight equals forty (5×8=40)

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Card game

This is one of the most popular and effective methods of memorizing the multiplication table with the help of a game. This article reveals the essence of the game and the sequence of actions.

Cards containing examples and their answers

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The meaning of the game multiplication table comes down to the fact that the child needs to be asked to get cards out of the pack in random order, on which he will find an example from the multiplication table without an answer, that is, after the “equal” sign there is a question mark. If the child gives the correct answer, then this card is no longer involved in the game, but if the answer is incorrect, the card is placed between other cards and the child will be able to draw it again.

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Thus, the game lasts until the child goes through all the cards and gives the correct answers for all the cards. When the game is nearing the end, there are very few cards left and they, most often, turn out to be the most difficult ones that the child could not answer with ease. If at the end of the game the child turns to them again and tries to find the correct answer, then he will remember these examples.

This game is actually a multiplication table simulator. The game becomes more interesting and easier to master if it is broken down into successive stages related to the educational material. So, you can start an impromptu lesson with the simplest cards of examples of multiplication by 2, and then gradually add new, more complex mastered examples to them. It is possible to develop different variants of the game, which can be chosen depending on the abilities and knowledge of the child.

Also, various special programs, online games and original sound posters offered by the Internet will help reinforce the game while studying the multiplication table. However playing cards considered the simplest and most effective.

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The initial stage of memorizing the multiplication table

Starting teaching a child the basics of multiplication, this process can be simplified by some special tricks.

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Yes, it is necessary start learning with the simplest and most elementary multiplication table examples which the child will solve without much difficulty. Indeed, if a child immediately sees the whole table, consisting of many complex examples, he may despair and think that it is unrealistic to learn this table. Therefore, the task of parents is to calm the child and show him that everything is actually much simpler and that he can immediately solve several simple examples.

1. The simplest examples are multiplication by 1 , which always result in the number by which they were multiplied. So, 1x1=1, 2x1=2 and so on.

2. Also simple are examples of multiplying by 10 , since this is the same as adding zero to the number that is being multiplied. So, the result of multiplying 3 by 10 is 30.
Thus, having learned the simplest examples of the multiplication table for 1 and 10, the child will understand that he has already mastered the most extreme columns and rows of the multiplication table.

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A simplified version of the multiplication table without examples for 1 and 10

Parents should be able to properly distribute the load of the child, and if he is tired after the first stage of training, then further training should be postponed for the next time. But in the case when the child is ready to continue learning now, you can try to continue the lesson.

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3. At the first stages of the lesson, we made sure that multiplication by 2 examples are the easiest for a child , since they are identical to the simple addition of two numbers. Usually, children who begin learning the multiplication table already have the skills to add numbers, so simple examples of multiplying by 2 will be easily mastered.

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4. The next stage in the study of the multiplication table will be associated with the rule for the replacement of the factor, based on the commutative law of multiplication, which may be understandable to parents, but very difficult for a child. This law is well known to parents, because they have already encountered it in the process of schooling. It says that the product does not change from a change in factors. In other words, the child should be explained that the example 2x4 is identical to the example 4x2.

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2 multiplication table

The child needs to clearly explain how it happened that the second row and second column of the table have the same numbers, like all other rows and columns that match in serial number.

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Thus, the child, knowing all examples of multiplication by 2, will know the multiplication of all numbers in the table by 2, that is, the task of the child is extremely simplified.

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Based on this, as a result of applying the presented methods for studying the multiplication table, parents can greatly facilitate the task of the child in the process of memorizing numerous examples of the multiplication table.

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At the end of each stage of learning, as a result of which the child has learned a certain number of examples, parents are advised to highlight them in the table in green so that the child can clearly see his achievements and make sure that there is nothing unrealistic in memorizing the multiplication table, and it will not be as huge and incomprehensible to him as at the beginning of classes.

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Targeted memorization

After the child has mastered the basics of multiplication and the simplest examples of the table, one should proceed to the next stages of learning with more complex multipliers.

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At this stage, it is necessary to apply not only game techniques, but also various effective memorization techniques based on associations, on the repetition method, on dividing into parts, on solving test problems and applying the child's knowledge in practice.

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Most table examples the child will have to specifically memorize and to consolidate knowledge repeatedly repeat them to achieve such a result when the child can name examples and correct answers without hesitation. To do this, you must patiently follow the sequence and rush the child.

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It is most effective to start this stage of training with squares containing examples of multiplication by 3 and 4, gradually moving to the next numbers.

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Often you can hear the opinion of teachers that it is best and most correct to study the multiplication table moving from the end to the beginning, that is, from complex examples to simpler ones.

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However, this training option seems to be rather doubtful, since it may not be effective for every child, since certain difficulties may be associated with the child’s confusion due to a lack of understanding of how those complex values ​​that he sees in the answers to the examples turned out.

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Therefore, you need to start with an example 3x3, when solving which, the child will be able to independently check himself by counting the example on his fingers, as a result of which it will become clear to the child how the number 9 is obtained in the answer. If, however, the child is given the task to multiply, for example, 8 by 7 and demand that he simply memorize the correct answer, this may simply frighten the child with the impossibility of testing this example in practice, and as a result of hiding the decision process from him, the child may lose motivation and interest in learning, as he considers that he does not have the ability to mathematics.

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Number squares

The next stage of training will require knowledge and application of this term. The child should be explained that it means the product of a number by itself. The multiplication table contains 10 squares needed for memorization. Practice shows that the squares up to the example 6x6 = 36 are remembered by children just fine. The 3 squares that follow it also most often do not present any particular difficulties.

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3 times table

From this stage, the child begins to have difficulty remembering examples from the table. If you encounter difficulties of this kind, you should turn to the game with cards. However, even if these techniques turn out to be ineffective, for example, due to the fact that the child has a humanitarian mindset, then special rhymes can be used to memorize, which in a simple form will present the child with examples from the table.

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4 times table

When studying examples from the multiplication table by 4, you will probably also have to use flashcards and poems in class. To simplify the task for the child, you should explain to him that multiplying by 4 is the same as multiplying 2 times by 2.

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5 multiplication table

This stage of learning the multiplication table usually goes without difficulty, since examples for 5 are remembered quite simply. The child should be explained that all values ​​​​of this series of multiplication are 5 in relation to each other, and the extreme number will be either 5 or 0, also that multiplying even numbers by 5, as a result, we get 0 on the edge, and multiplying odd numbers - on the edge we get 5.

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Multiplication table for 6, 7, 8 and 9

Multiplying by 6.7, 8 and 9 are considered the most difficult to remember. Therefore, at this stage, the child needs to be explained that after he has learned the squares and the multiplication table up to 5, he will have to make very little effort, because he has, in fact, already learned all the subsequent examples.

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Complex examples from the multiplication table

So, it remains for the child to learn the most difficult examples from the multiplication table, there are 6 of them, and it is they who should be given special attention, make the last leap and complete this task to the end.

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Here are the most difficult products from the multiplication table

6×7=42
6×8=48
6×9=54
7×8=56
7×9=63
8×9=72

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To remember them The best way is to play cards so that the child can give an answer to any example without hesitation. In this case, it is best to use There are 12 cards in the game, containing products with changing places of multipliers.
Thus, using special techniques and techniques, you can quickly and easily learn the multiplication table, which initially seemed incomprehensible to children and parents to remember.

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Techniques for memorizing the multiplication table

Obviously, there is no one specific method for learning the multiplication table that is suitable for everyone. After all, when conducting classes with a child, it is necessary to approach them individually, based on the preparation of the child and his character.

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Therefore, parents should master several techniques and know more than one way to remember the multiplication table in order to choose the right one for their child.

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Here are some of them.

Application in practice

Learning will be simpler and more effective if all the examples from the multiplication table are illustrated to the child in practice.

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For example, studying examples for 5, a boy can be asked how many wheels will be needed for 5 cars. So, the child will imagine a car with four wheels and successfully memorize the example 5 × 4 = 20. You can ask a girl how many ribbons it will take to make two ponytails for three dolls. With the help of such an illustration, the child will remember that 3x2 = 6.

Complex examples

During the study of the multiplication table, the child may experience some problems when trying to memorize the most difficult examples, which should be focused on the child's attention and help him learn them, thereby overcoming the most difficult stages of the assignment.

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Memorizing multiplication tables with fingers

To simplify the process of memorizing individual works from the multiplication table, you can tell the child that you can count them with your fingers.

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At the same time, examples that can be calculated in this way can be not only the simplest, but also, for example, from multiplying by 9. This will require both hands. It should be bent when multiplying any number by 9 straightened fingers under the number of the multiplied number. Thus, the number of fingers before the bent is tens, and after it - units.