Wait, the moment must come and will definitely come,

when the child waves his hand at the table, turns away from it and, saying: “it’s easier this way,” begins to count in his head.

ON THE. Zaitsev

The unique system of N. A. Zaitsev works effectively; it fully takes into account the characteristics of children's perception and psychology. In terms of the content of educational material, “Stochot Counting” significantly exceeds the standard of preschool education: the methodology allows children to move on to mental calculations earlier than the deadlines provided for in traditional programs.

When creating the “Hundred Account” N.A. Zaitsev used the experience of the American doctor Glen Doman, who treated children with brain injuries. Doman found that stimulation of one of the sense organs dramatically increases the activity of the brain as a whole. The patients were shown cards with words written in large letters, and these words were pronounced out loud. The entire lesson took a few seconds, but there were several dozen such lessons a day. And many of the children who were considered hopeless began to roll over, crawl, stand up, learned to read at the age of 3-5, and later tests revealed that they were ahead of “normal” children in development!

Zaitsev's method: all material, compactly expressed, is placed and read from the wall with a glance. Nikolai Aleksandrovich Zaitsev notes: “At school, learning occurs from the teacher’s lips to the student’s ear, and the child learns 80% of the information with his eyes. I show it thousands of times, maybe tens of thousands. The ancient teaching system can no longer be used: life has changed, the way we perceive information has changed, and its volume has changed.”

The essence of mathematics using the Zaitsev Counting method is that the child is asked to see all the numbers from 0 to 99 at once, that is, the whole hundred at once. Moreover, all this is presented in the form of a harmonious system that demonstrates not just the quantity, but also the composition of the number. The child immediately sees how many tens and units each number makes up, and begins to objectively sense the quantity. The “Counting” technology affects 3 sensory areas: auditory, visual and tactile. Where they work with “Hundred Accounts”, they don’t go through digit by digit, they don’t study the composition of the ten, the transition through the ten.

A number tape hanging on the wall makes the arrangement of numbers from small to large as familiar to a child as it is to adults who have an idea of ​​the law of constructing the natural series of numbers. Taking into account the psychological characteristics of a preschooler - a period of predominance of visual-figurative and visual-effective thinking, N.A. Zaitsev provides for the possibility of modeling numbers, manipulating number cards, and acting with a number tape and a pillar. The addition and subtraction of numbers that a child performs is not done in the mind, but based on clarity, on direct actions with the material.

All this is very effective for the mathematical development of a preschooler, for improving his intellectual abilities. Practical actions do not remain unchanged. Gradually, their internalization occurs, the child begins to imagine a number tape, a column, performs calculations based on images of numbers, and then proceeds to actions in the mind, without relying on visualization. Children “outgrow” “Counting by 100” and perform arithmetic operations based on abstract thinking.

A standard Zaitsev lesson lasts 10-15 minutes per game. Physiologists and ophthalmologists note that Zaitsev’s methods are impeccable from the point of view of protecting the child’s health. During the learning process, children are not in a constant static state at the tables, but move around the room: the type of activity changes - from calmly static to mobile and vice versa, the place of activity changes - the work, play area.

This prevents children from getting tired. Children can walk, stand, lie on the carpet, they do not spoil their posture or vision because they look at large tables. And the effect of training according to Zaitsev will be felt even with a tiny amount of time spent per day. Working with the “Hundred Counter” allows you to make mathematics a favorite for children.

The effectiveness of N. A. Zaitsev’s “Hundred Counting” method:

· training is carried out with great anticipation without coercion;

· promotes the overall intellectual development of the child.

· forms a mathematical style of thinking, which is characterized by clarity, brevity, dissection, accuracy and logic of thought, and the ability to use symbolism;

· it is environmentally friendly, that is, it is a health-saving technology;

A set of educational materials for teaching preschoolers mathematics includes:

· full detailed description of the work methodology;

· number tape;

cards with numbers;

· number column;

· diagrams of arithmetic operations.

What is the essence of the Stoschet technology?

The fundamental principle of all methods of N.A. Zaitsev is to give the child at once the entire volume that he has to master.

Zaitsev places all the material in tables and recommends placing them on the wall. The essence of mathematics according to Zaitsev is that the child is asked to see all the numbers from 0 to 99 at once, that is, the whole hundred at once. Moreover, all this is presented in the form of a coherent system. The child sees how many tens and units each number makes up, and begins to objectively sense the quantity.

“Forty-seven” - we hear sounds; we see how many objects are presented (circles); how they are arranged; As this number is expressed in numbers, we can easily correlate four with the number of tens, and seven with the number of ones.

So are we playing or learning?

Of course, let's play! In preschool age, any other path leads to a dead end. Physiologists and ophthalmologists note that Zaitsev’s methods are impeccable from the point of view of protecting the child’s health. A standard lesson lasts 10-15 minutes per game.

During the learning process, children are not in a constant static state at the tables, but move around the room, this prevents them from getting tired. You can walk, stand, lie on the carpet. Posture and vision do not deteriorate.

Zaitsev's methodological system, which includes several steps, is deeply consistent with nature, and is the basis for the formation of a favorable environment for the development and education of children.

Step 1

To work, you will need the same objects, small toys, natural materials: cones, pebbles, beans. Card for modeling the number of items. Circles of the same color or buttons, plastic numbers.

Exercise: Count the objects with your child (within 2-5), name the quantity. Start counting with the numeral “one”, and not with the word “one”. Place the same number of circles on the model. Specify: “There are as many circles as there are dogs.” Say the number again. Then show the number. You can play hide and seek. The number is hidden among 2-3 others, and the child finds it and names it.

Gradually, the child will understand that different quantities can be modeled using the same circles; a number can indicate quantity; If groups of objects are different, but their number is the same, then they are designated by the same number.

Such game exercises should be short in time: 5-7 minutes, but 3-4 times a day. Gradually increase the number of items, do not forget to change them. It’s better to invite a child to an activity with the words: “Let’s play?” Let’s go and count!” You can create a game situation: “you hear someone squeaking. Who could it be? Let's find some mice. Oh, so many of them! Let's count." You can bring in a beautiful box or a wonderful bag with a mysterious look: “Look what I have! What's inside? Count how many." These techniques create a joyful mood in the child, learning turns into a game!

Step 2

To work, you will need number cards from N.A. Zaitsev’s manual. “Counting by 100” up to 10, identical objects, small toys, natural materials: pine cones, pebbles, beans within 10. Card for modeling the number of objects. Circles of the same color or buttons, a set of plastic numbers.

Exercise: The task is similar to the first one, but after modeling the quantity using circles, you need to invite the child to find a number card. Compare the model that the child laid out himself with the one he drew.

Step 3

To work, you will need number cards from N.A. Zaitsev’s manual. “Counting to 10”, toys from “Kinder Surprise”. Give yourself and your child equal numbers of number cards.

Offer to build a train. Cards are trailers. We will attach the trailers in order. Say the number and find the correct number card. If the child is at a loss, help: “You have four carriages!” Number 4 is looking at you!” If your child gives the wrong card, calmly correct him: “This is 8, but we are looking for 3. Here is a trailer with the number 3!” That’s 8, let’s count the circles on the card.” Or: “There are 8 of them, but we need 3! here are 3, count the circles.” Say the number, placing the trailer next to the trailer. You can name all the numbers in order. It turned out to be a train.

Who will go by train? Here come the passengers! The lion says that he wants to go in the trailer number 5. But the bear cub doesn’t know the numbers, he jumped into this trailer. Which trailer is the bear cub in? This way you can plant several animals.

You can end the game with the poem “We are going, going, going,” or switch to the “train” game. Change toys, repeating the exercise, build a street of houses, place passengers on a bus or spectators in a theater, according to the purchased “tickets”. Gradually increase the length of the train, street, auditorium row.

As a result, the child, by manipulating the cards, remembers numbers, figures, order in the number series, and, of course, plays happily!

Step 4

Place the number tape from N.A.'s manual. Zaitsev "Hundred Counting". Let the child rejoice at its length. Count with him on the tape. You can name all the numbers up to 100, or you can name the numbers familiar to the child in order, gradually adding new ones. Don't forget to show each number in the tape with your finger or pointer. Let the child do the same.

In cells 11 to 19, make movements with the pointer from right to left, since the spoken words begin with the elements one or two, followed by the addition - eleven, by the time of pronouncing which the pointer moves to the left to the image of ten. In subsequent cells, we slide the pointer when pronouncing numbers, first along the images of tens, then along the images of units.

So, connecting all the images of a number - sound, quantitative, and graphic (digital) - is precisely the fundamental step in Zaitsev’s “Hundred Counting” method.

Working with the “Hundred Count” should be interesting for the child. Therefore, it is very important that the work methods used are attractive, create a joyful mood in the child, and study turns into a game! Only this kind of work makes it possible to make mathematics a favorite for children.

“Who has more?”

To work you will need:

Benefit N.A. Zaitsev “Hundred Count” or “Thousand Plus”: a number tape placed on the wall (on the floor, on the sofa); number cards up to 50 (then up to 99), in a wonderful bag or beautiful box.

Progress of the game:

Several participants can take part in the game. Everyone takes one number card, then names the number (if the child finds it difficult, the adult names the number, and the child repeats). Players go to the number tape and look for that number by inserting their card. The one with the higher number, who is to the right, wins. It is he who takes the cards from all the players for himself. The game repeats itself. After some time (the adult will feel a decrease in the child’s interest), the total number of cards for each player is counted, and the winner of the entire game is determined. You can determine who has more cards in another way: first, one participant places his cards in a row, then the second player places his cards in the second row, a card under the card. Whose row is longer is the winner!

Summary: We teach the child to name numbers and find them on a number tape. As a result, the child will understand the logic of constructing a number series: it turns out that the numbers are located from left to right, from smallest to largest. The higher the number, the further to the right it is. In addition, the child will gradually begin to cheat: he will choose a larger card in a box or bag. And this is understandable, the larger the number, the larger the card.

Hello, dear colleagues and caring parents!

Since September of this year, I started working according to Nikolai Zaitsev’s method. If you also work using this technique or have decided to master it, then feel free to read on.

In September I taught 6 classes. Now I can say with confidence that the method works, the process of teaching children to read in sequences is going well, the results are growing with each lesson. In general, I am simply delighted with Nikolai Zaitsev’s technique!

In addition to the main set of Nikolai Zaitsev, I decided to create additional mini-tables. I think it would be better if parents could also reinforce their child’s skills at home using mini-tables.

Each mother, with a strong desire, will be able to devote 15 minutes a day in order to sing the warehouses according to the tables, and come up with a few words with the child for the given warehouses. You can show and name warehouses randomly, and most importantly, write any words on the table.

Each part of the table is in A4 format.

I printed out my mini-tables on a color printer and laminated them. The result was a benefit for many years. Even if you use the paid services of a printing company, your costs will be recouped, if only because the manual will serve for a very long time.

You can take mini-tables with you on the road. During a long trip by train, train or plane, you can use your free time to benefit your child.

Pictures enlarge when you right-click on them.

Table 1 (1) top part:

Table 1 (2) top part.

The training system of the St. Petersburg teacher Nikolai Aleksandrovich Zaitsev became very popular. Zaitsev’s teaching methodology is based on the idea that the elementary particle of speech is the warehouse.

A warehouse is a pair of a consonant with a vowel, or a consonant with a hard or soft sign, or one letter. Zaitsev wrote these warehouses on the edges of his famous cubes.

When a child begins to speak, he does not pronounce letters separately, he says “ma”, “pa”, “ba”. This method was used on cubes. Learning with Zaitsev's cubes takes place through play, children sing syllables, clap their hands, jump and run. In the same way, children get acquainted with mathematics through play. Zaitsev developed special tables on which children perform arithmetic operations.

Training according to Zaitsev’s method includes not only tables of syllables and arithmetic operations, but also toys that make different sounds, musical instruments, cubes with cut pictures, puzzles, construction sets, etc. In addition, the learning environment created in kindergarten or school must be supported at home. Tables should be hung around the apartment, any household activity should be accompanied by certain methodological instructions, and a lot depends on the spirit that reigns in the family.

Zaitsev's cubes differ in 46 characteristics. Large and small, “iron”, “wooden” and “gold”. The cubes weigh and sound differently.

“Golden” cubes ring, “iron” cubes rattle, “wooden” cubes make a dull thud.
Sounds help children feel the difference between vowels and consonants, voiced and soft.

Learning is helped by singing blocks and chains of warehouses to several tunes. The size of the letters and signs in Zaitsev's tables and on Zaitsev's cubes is sufficient so that they can be perceived by a child from a distance of several meters without any strain.

The counting method, based on Zaitsev's tables, is offered to children from three years old. A four-color ribbon with numbers from 0 to 99 in numbers and in the form of grouped objects - circles and squares. Even three-year-old children are able to find any ordered number on the tape in a very short time. Even and odd ones differ in color, and the composition of the number is also clear to everyone: the number of tens, units.
Cut cards represent a number in its ratio to a hundred (for example, 54 filled squares in a matrix of 10 * 10 cells and 46 unshaded ones).

Children 4-5 years old easily move on to adding and subtracting within a hundred; first-graders do this after a few lessons, avoiding months of familiarization with numbers and sitting for a hundred hours in ten.

The transition from the number tape to table 1 helps to speed up addition and subtraction operations within a hundred, bring them to automaticity and move on to mental calculations earlier than the deadlines provided for by traditional programs.

Six cubes and table 2 will help children master writing and reading three-digit numbers, create figurative ideas about their composition - the number of hundreds, tens, units.

Table 3 will introduce students to the writing and naming of multi-digit numbers.
Zaitsev's manuals will be interesting and useful to all children. Classes with Zaitsev's Cubes are based on play and children learn while enjoying the lessons.

Voskobovich's "folders"

The game-aid "Skladushki" is intended for teaching children early (from 3-4 years old) reading in a storage system. The warehouse system of teaching children early reading is now widespread. In addition to the fact that children initially learn to pronounce warehouses in this system the way they sound in words, the warehouses themselves are located in a strictly defined way. This game is a popular system of teaching reading to young children by the famous St. Petersburg teacher N. Zaitsev, revised by V. Voskobovich.

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ON THE. Zaitsev "Writing. Reading. Counting."	download
Zaitsev tables

Methodology "A thousand and more"(Zaitsev) is addressed to preschoolers and primary schoolchildren.

The set includes a number tape of ten stripes, one hundred cards, tables 1-8, six dice of different sizes and three sheets of cardboard for the “Clock” tape.

What is included in the “A Thousand and More” set (Zaitsev)

Number tape is a set of cardboard strips with numbers from 0 to 99. The number of tens and ones in each number is clearly shown using squares and circles. There are four images of numbers linked on the number tape: sound (pronunciation), quantitative (each number is represented by dots), composite (number of tens and units), and graphic (digital recording). Even and odd numbers are highlighted in color. After a very short time, children will find any number from zero to 100 in the number tape, and will receive a clear understanding of even and odd numbers, their composition (the number of tens, units), and digital notation.

Kids can easily master addition and subtraction within a hundred using the number tape in the Thousand and More set. First graders master these tasks within just a few lessons.

The next stage of training is 100 cards with numbers. There is no zero on them, but there is a hundred. The number of tens and units is also clearly shown: each number is depicted in numbers and in the form of a square of 100 cells - filled and empty. With cards you can conduct lessons on the number tape and without it, master addition, subtraction, and lay the foundation for the perception of multiplication and division. The cards repeat the cells of Table 1.

Transition from number tape to table 1 helps to speed up addition and subtraction operations within a hundred, bring them to automaticity and move on to mental calculations much earlier than the deadlines provided for by traditional programs.

Six large cardboard cubes And table 2 will help children master writing and reading three-digit numbers, and create figurative ideas about their composition. Cubes of different sizes: large for hundreds, medium for tens, small for units. For each rank there are two dice: with even and odd numbers on the sides. By working with cubes and Table 2, children can clearly see how many are in hundreds, tens and units.

Table 3-4 introduces students to the writing and naming of multi-digit numbers. Large numbers interest many children. They ask: “What is the largest number?”, “What is a million?” Table 3 is designed to answer these questions: it even presents numbers with an incredible number of zeros - up to 10 to the power of 100 (googol).

Table 5 will help to bring addition and subtraction within 20 to automaticity, which will later be useful for adding and subtracting multi-digit numbers in a column.

Table 6 will help you further strengthen your counting skills, as well as master multiplication and division within 100.

Table 7 in the set “A Thousand and More” (Zaitsev) is a large multiplication table. It compares favorably with the one on the back of the notebook in many respects. Firstly, the lines and columns are divided by level of difficulty: what is easy to remember - multiplication by 1, 10 and the first two columns - is printed in blue, and what is more difficult is printed in black, more contrasting and bright, and therefore attracting more attention. Secondly, the multiplicand is indicated in a large number and only once: this makes it much easier to find the desired line in the table. And finally, thirdly, this wonderful table will be visible from afar, which is especially important in group classes.

Table 8 is a visual list of squares and cubes of numbers. Squares are listed up to 32 (322 = 1024), cubes up to 10 (103 = 1000). Hang the table on the wall - and very soon the child will know these “difficult” numbers by heart!

Tape “Clock” in the set “A Thousand and More” (Zaitsev)

To make the “Clock” tape, cut the blanks included in the kit into strips and place them on the wall in one line. If there is not enough space, you can place the strips one below the other.

The tape depicts 60 watches - according to the number of minute divisions. Each dial represents a chart: black shows how many minutes have passed, and yellow shows how many minutes are left until the end of the hour. Under each watch, this ratio is written as a fraction, and also converted into an angle. It turns out that a watch dial can be used instead of a protractor! Each minute division = 6 degrees, which means that in one hour the minute hand “draws” an angle of 360 degrees, in 17 minutes – an angle of 102 degrees, and so on.

Thus, with the help of the “Clock” tape, the young mathematician will not only learn to tell time using a clock, but will also become familiar with angles - acute, obtuse, right - and their degree measures.

Along with the tables, the “A Thousand and More” (Zaitsev) set includes a teaching aid for teachers and parents. It describes in detail and shows how to work with the material. The last chapter is devoted to the arrangement of the chamber of weights and measures in the educational institution. Familiarity with the standards will make classes even more interesting and visual, and children will achieve even greater success in development and learning.

Explore the wonderful world of mathematics with the “A Thousand and More” kit (Zaitsev)!

Included:

• number tape;
• 100 cards;
• 8 tables (515x728 mm);
• three pairs of different-sized cubes;
• Clock tape;
• methodological manual (form A4, 40 pages, color printing)

With the declared diversity of methodological schools, the principled directions and even philosophies, the declared freshness and unexpectedness of approaches, the inviolable place of the current elementary mathematical programs, the manuals and textbooks resulting from them, is the general attitude towards one and many, many years of sitting in the heel and, finally, in the ten .

A three-year-old comes to kindergarten. With their fingers spread out, they test him: How much? “Five,” he answers. Not five, but a lot! - the aunt is angry, because the program that she is obliged to carry out does not assume such sophistication of the child’s mind.

The great Moscow scientist Wenger buried the column and wrote the inscription: Ten is the limit for a four-year-old child. And don’t go behind the post. What was the basis for such a categorical statement is unknown.

Every child by the age of four has heard the names of different numbers countless times: with his mother, as soon as he was born, he counted his fingers; with his father, he counted steps, carriages, and measured a hundred steps on the road. The child knows the number of the house, apartment, his phone, grandma’s. Adults constantly talk about prices, salaries, pensions, payments for apartments, gas, electricity. On TV, numbers are not only called, but also shown in recordings: time, temperature, telephone numbers. Many four-year-olds can count to a hundred, five-year-olds to a thousand or more: parents, unlike kindergarten and school methodologists, have long understood that counting (as well as reading) is not only possible, but also necessary to be taught before school.

According to the proposed method, three to four year olds immediately become familiar with the first hundred, find any number on a number tape, by the age of five solve problems and examples of addition and subtraction within at least one hundred, become familiar with multiplication and division, learn the multiplication table, learn to read and write multi-digit numbers, know the names of geometric figures, get an idea of ​​​​polyhedra and, naturally, move on.

With ribbon Children's watch Let's learn to tell time using a clock, get acquainted with fractions, acute, right, obtuse angles and their degree measures.

Zaitsev's manual "A Thousand and More" is packaged in a cardboard box 53x39x3 cm.

Weight: 1.5 kg.

Production: NOUDO Methods of N. Zaitsev, St. Petersburg. 2017, Russia.

Zaitsev's Thousand Plus is aimed at developing attention, imagination, fine motor skills, thinking, memory, mathematical concepts, etc.