In order to cultivate intellectual qualities in a child, to grow him up as a versatile person with a developed logical thinking, with a broad outlook and erudition, one must start this from early childhood. But approach the process competently, according to the principle of consistency and consistency.

One of the key components of the intellectual development of the child is learning to count. For different ages training should have an appropriate level of difficulty.

When to start teaching?

You will need:

Fundamentals of Teaching Mathematics

Geometry to the rescue

Counting is not the only component of a child's intellectual development in the direction of mathematics.

Children need to be taught the initial rules and concepts of geometry:

Dimensions:

Simple geometric shapes

and their examples in everyday life;

Direction of travel:

left, right, back, forward, up, down.

Game lessons

For kids before school age training sessions to be carried out correctly game form, and primary school age - with the connection of games and competitions for solving mathematical tasks for a while.

Take advantage of famous games: bingo, dominoes, children's monopoly, the game of "four in a line" ... and specially designed guides.

Many aids have been developed for mastering the account, more like an entertaining game: graphic solving of labyrinths, similar to unwinding a ball, drawings by cells in normal and mirror images.

Illustrative examples are the key to success

Visualization and visualization are important methods of teaching activities with young children. Count improvised items, increasing their number, add one at a time.

In the early stages of learning, do not focus on mathematical concepts addition and subtraction, plus and minus.

5 Rules for Early Learning

Quantity of filing information

It is easier for children to learn new knowledge in doses, in small portions: conduct classes per day for 2-3 lessons, 10 minutes each. The child will retain interest, and the amount of information received will correspond to his age intellectual capabilities. It won't be hard for him.

Don't go back to repeat

In the study of the foundations of mathematics, one should not return to previously studied material, but repeat it when the completed section is the basis for unleashing tasks of the next level.

Feasible difficulty

Take your child to solve problems at his level. In no case do not be ashamed of misunderstanding, especially do not shout and do not scold.

Fixing the material

Be sure to use examples of mathematics in everyday life:

• Consider everything interesting, especially unusual: cats in the yard, chamomile petals, red cars, fairy tale characters, buttons on a jacket.

Examples from tasks at the expense of the level of primary school age:

• From the price for a separate product and the required quantity, calculate the cost of this product;
• Calculate the total purchase price of all goods.

The principle of slowness in the process of learning

Any training should be consistent and systematic. In order for the material to be assimilated and remembered, becoming the basis for the following knowledge, it is necessary that the child has time to go through all stages of mental development:

1. Getting used to the terms, concepts and process.
2. Understanding the essence of the process.
3. Memorization of information.

Do not rush to submit new material. Continually apply what you have learned Everyday life, add, pin them.

Be sure to motivate with praise and recognition of his growing up. After all, instructing to place a certain number of devices on the table is to show trust and recognize his first steps towards independence.

How to teach a child to count in the mind

To teach mental counting, a certain level of development is already required, which corresponds to the age abilities of a child of four years.

• Try to count with your child as much as possible and everything that is in sight and is of interest. Teach your child to count objects without you. Constant training is important in any kind of activity;
• Help your child develop understanding of concepts "less - more" by both quantitative comparison and visual comparison of length, height;
• It's time to explain what "equally".

The most intelligible explanation is a visual demonstration: compare an equal number of identical objects with the same number of the same objects. Ask the child to determine where there are more objects.

• It's time to introduce the child to the basic mathematical rule: “the sum does not change from a change in the places of the terms”.

To explain, use the principle of visual demonstration: separate objects, summarize, divide again, but by a different amount, and summarize again.

• To facilitate the learning process, and most importantly, to maintain his interest, use the existing game aids for counting. Learn to count on counting sticks, dice, tables, cards, etc.

How to quickly learn to count to 10 using the game

Start mastering the account not with a whole ten, but with the first five digits. So, first, the score is within 5, only then be taken for a dozen.

The learning process can be made much more efficient if:

• Engage in counting at every opportunity, daily training the skill;
• Include fingers in exercises;
• Include children's abacus and games designed to develop counting skills in classes;
• Use watching educational programs to help;
• Learn nursery rhymes that rhyme the score.

Cards are a particularly useful learning material for counting. You must change the flashcard system from sequential to interleaved in order to develop logic, not just memory.

Try to include counting in the first household chores, for this set the task:

1. Wash or arrange a certain number of dishes;
2. Remember the quantitative list of necessary purchases, starting with 5.

Use the whole gamut of entertaining counting games, poems and counting rhymes. Examples of which are given below.

Shop game

Prepare goods and price tags for them. Also assign "currency", for example, shells, pebbles, buttons, or prepare paper money, or maybe real coins.

The child should act as a cashier, you - the buyer. Interest the baby in counting, for starters, quantitative, without amounts: how many purchases do you have and does he have “monetary currency”.

"Count with me!"

One two three four!
Who lives in our apartment?
Dad, mom, brother, sister,
Murka cat, two kittens,
My puppy, cricket and me.
That's my whole family!
One, two, three, four, five!
I'll start counting again!

"Guess!"

Using either ready-made plastic numbers or homemade cardboard ones, invite the child to guess them.

Reward correct answers with favorite treats or something interesting for him.

Modeling from plasticine

Let's make a task to mold two ears or four paws for a future plasticine little animal.

Learning to count within 20

The starting point for increasing the counting difficulty level to 20 should be the following well-learned skills:

• Understanding counting up to 9;
• Knowledge of the number 10.

Introduction of the concept of units and tens

Using the example of two-digit numbers new to him after 10, explain to the child the concepts of units and tens.

For a visual explanation, use two types of objects, for example, pencils and felt-tip pens, apples and carrots. Assign one type to units, the other to tens.

Sequence of numbers

Explain the formula for the composition of a two-digit number and the sequence of changing the second digit of ten, one, from 1 to 9, with which he is familiar.

Reinforce your understanding of tens and ones with a descriptive expression of double digits by choosing examples from the number range up to 20.

Example

The number 11 is 1 pencil and 1 felt-tip pen, 12 is 1 pencil and 2 felt-tip pens, respectively, and so on for all numbers up to 19 in succession, without moving to the next ten.

How to learn to count to 100

The child’s consciousness should be ready for the next complex, laborious and multifaceted level: if before the age of 5 the child received systematic and consistent knowledge about the series of numbers, he is familiar with the concepts of units and tens at the initial level of the number series up to 20.

Expand the number of tens

1. Introduce the child to the following rows of tens: from 20 to 29, from 30 to 39, from 40 to 49, and so on up to 99.
2. Explain to him the algorithm for constructing a ten by increasing ones within a ten.
3. Reinforce concepts with illustrative examples.

New day, new numbers

1. Teach your child a new ten every day.
2. When you get to the middle of a hundred - 50, try to look for lost two-digit numbers from some ten.
3. Play this game every day.

Usage examples:

1. He knows one girl who can help me. He knows a girl who can help me.
2. She has only two options. She has only two options.
3. "Seven Psychopaths" is the best movie I have ever seen."Seven Psychopaths" is the best movie I've ever seen.
4. You need another eight dollars to buy that necklace. “You need eight more dollars to buy that necklace.
5. He called me eleven times in six minutes! He called me eleven times in eight minutes!
6. My wife paid twelve dollars for a souvenir. My wife paid twelve dollars for a souvenir.

Numbers in English from 13 to 19

The name of the numbers from 13 to 19 in English is quite simple - add the suffix -teen to the unit:

Six (6) + teen = sixteen (16)

Four (4) + teen = fourteen (14)

Usage examples:

1. Justin Bieber started his career in fourteen . Justin Bieber started his career at the age of fourteen.
2. Our journey lasted sixteen days. Our journey lasted sixteen days.
3. I wish I could be seventeen forever. “I wish I was always seventeen!”
4. She just turned eighteen. She just turned eighteen.

Note:

Sometimes there are small changes in the figure, i.e. just adding the -teen suffix is ​​not enough. In the numbers 13 and 15, another root of the word will be written.

He believes that number thirteen brings bad luck. He believes that the number thirteen brings bad luck.

I spent fifteen days trying to find him in Miami. “I spent fifteen days trying to find him in Miami.

Features of the formation of dozens in English

To get a ten, you need to add the -ty suffix to the unit. Thus: seven (7) + ty = seventy (70).

Usage examples:

1. This mobile costs only sixty dollars. This cell phone costs only sixty dollars.
2. My grandmother died at the age of seventy. My grandmother died at the age of seventy.
3. I should be there in about eighty minutes. “I should be there in about eighty minutes.

Note:

In some cases, the spelling of tens is changed. The numbers 30 and 50 change in much the same way as the numbers 13 and 15, and at 40 the letter "u" falls out. The number 20 also changes, it looks a bit like 12.

She asked twenty friends to her birthday party. She invited twenty friends to her birthday party.

Anna lost more than thirty kilograms. - Anna lost more than thirty kilograms.

Michael was forty, but he appeared older. Michael was forty, but he looked older.

There are fifty states in the USA. – There are fifty states in the USA.

How are compound numbers formed in English?

Two-digit numbers, as in Russian, are formed by adding one to ten. Please note that when writing between units and tens, you need to add a hyphen.

For example:

Examplesuse:

1. Professor Jones has been studying linguistics for forty-five years.“Professor Jones has been studying linguistics for forty-five years.
2. Open your books at page fifty nine. Open your books to page fifty-nine.
3. Will you still need me when I'm sixty-four?“Will you need me when I turn sixty-four?”
4. The man drove the taxi at eighty-seven kilometers an hour. The man was driving a taxi at a speed of eighty-seven kilometers per hour.
5. I'm ninety-nine percent sure about it.“I'm ninety-nine percent sure of that.

Numbers in English up to 100: how to pronounce correctly?

If you look at the table, namely the column, which indicates how to pronounce the numbers in Russian, you will notice two features:

1. The sign ":" is called long reading. It means that the vowel before this sign must be stretched out in voice. For example, the number two. It should be read as "tu-u", extending the sound "u" a little.
2. The second feature is the sign "'", it means accent. , which follows after this character should be emphasized. For example, the number eleven. It must be pronounced "ilEvn", the word should sound with an emphasis on the sound "e".

Speaking of numbers from 13 to 19, it is important to put the right emphasis here. If you look at the pronunciation table, you can see that the stress in the number always falls on the derived suffix -teen. More importantly, the “and” sound in the suffix should also be extended.

To correctly pronounce tens, it is enough to know the units. The stress falls on the root of the word, as in units. Derivative suffix -ty does not stand out when spoken.

Note:

Especially difficult for English learners is the pronunciation of the letter combination "th", which begins with the numbers 3, 13, 30. The truth is that the sound should not be pronounced as "f" or "s", it is something in between. When pronouncing this sound, the tip of the tongue must be inserted between the teeth. Be sure to listen to how these numbers are pronounced.

What is the difference between a hundred, a thousand, a million and a billion?

Hundreds, thousands, millions and billions can be counted. In order to get such a figure, you need to add a hundred, a thousand, etc. to one. If we are talking about hundreds of millions, the scheme remains the same.

For example:

1. Two (2) + one hundred (100)= two hundred (200)
2. Seventy-five (75) + one thousand (1.000)= Seventy-five thousand (75.000)
3. One hundred (100) + one million (1.000.000)= One hundred million (100.000.000)
4. Five hundred (500) + one billion (1.000.000.000)= Five hundred billion (5.000.000.000)

note that in such cases, hundreds, thousands, millions and billions in English do not have a plural ending added. One billion or ten will still be "billion".

Three-digit numbers are formed according to the scheme: one hundred + ten + one.

There is a slight difference in the formation of three-digit numbers between British (Br.E.) and American English (Am.E.). The British put “and” between a hundred and ten, and the Americans do not use this union in three-digit numbers.

For example:

• One hundred (100) + eight (8)= One hundred and eight (Br.E.) or one hundred two (Am.E.) (102)
• Two hundred (200) + forty-three (43)= Two hundred and forty-three (Br.E.) or Two hundred forty-three (Am.E.) (243)

Conclusion

Now we can say with confidence that you know the order of the formation of numbers in English up to 100. To consolidate the study, you can count counting or listen with the correct pronunciation of numbers in English up to 100.

After several trainings, it will not be difficult for you to learn, be able to write and name any number. We also advise you to perform various exercises or free ones, of which there are many on the Internet, as well as watch video tutorials online.

Here are cards for teaching children how to count from 1 to 100. These worksheets will help preschoolers learn to count first up to 10, then up to 20, 25, 50, and then up to 100. There are only 5 cards. You can download and print them all or choose the ones that are needed.

Working with cards is very simple. They are represented by squares divided into cells. Numbers are already entered in some cells, while the child must fill in others on his own. The number of cells on each sheet is different, which will allow you to gradually master new numbers, developing the child more and more. The first sheet contains values ​​from 1 to 10, it contains several tables so that the child can consolidate the knowledge gained and learn how to complete tasks without errors. On the last sheet you will see one large table where you need to enter numbers from 1 to 100. This is the most difficult level, and it is suitable for those children who already know how to count well.

You can combine these cards with others math tasks, alternating classes different topics. If classes are held in group form (for example, in kindergarten), then you can arrange a competition among children for the fastest and most error-free filling in tables with numbers.

Learning to count up to 10, up to 20, up to 25