Preparing for counting for little ones: tips, activities, games, books

Counting is one of the key skills you want to master before your child starts school. No one will require a first-grader to solve complex examples, but it will be useful before school to learn how to count the number of objects and know the basics of addition and subtraction. It will not be difficult for a child to understand the teacher’s request - for example, “take two pencils” - and a first-grader will feel no less smart than peers who have already learned to count.

There are many ways to teach a child to count: using methods developed by professional teachers, in a playful way, with a combination of children's poems and thematic videos. Whichever method you choose, learning to count can be considered the first step in learning mathematics. Good knowledge of mathematics is a guarantee not only of positive grades, but also of excellent memory and attention, developed logical thinking and the ability to calculate the right decision in any situation.

First acquaintance with numbers: when and where to start

You can start teaching your baby about numbers at 1.5-2 years old. But it is too early to expect significant mathematical success from a young child, although children quickly understand the difference between the concepts of “one” and “many” even at an early age.

Briefly about the stages of teaching a child to count - in the table:

Trying to teach a child to count too early is not worth it because of the difference between the thinking of children and adults. There is such a thing as the Piagetian phenomenon, demonstrated by the French psychologist Jean Piaget.

The psychologist showed that children under six years old cannot treat counting abstractly, counting correct mathematical operations only in the present tense and precisely with those objects that an adult shows. For example, a child under six years old will be convinced that if you take the apples to another room or replace the apples with pears, the number of objects will change.

The best way to teach children to count is in 4 steps:

1. At 2-3 years old, this is enough to teach a child to understand the difference between “a little” and “a lot.”
2. At 4-5 years old, it’s time to learn to count within 10 concrete, not abstract objects: candy in a jar, dishes on the table, books on a shelf.
3. At 5-6 years old, a child can be taught to count to 10 and 20 and show what numbers look like and how they are written. At the same age, the child already knows how to understand the terms “more or less,” adding the required amount to objects or, conversely, removing the excess to achieve equality (for example, putting toys in equal piles).
4. At the age of 6-7 years, a child is ready to learn to count to 100, add and subtract numbers up to 10.

Copybooks for preschoolers - letters and numbers

All kinds of copybooks with capital letters and numbers from 1 to 10 are available for preschoolers. The methodological material allows you to develop your hand, fine motor skills, and train concentration and perseverance while performing tasks. To develop logical thinking in preschoolers, it is recommended to use material where numbers are found.

Russian alphabet with tasks

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Copybooks with numbers

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Recipes for children 5-6 years old

Develop beautiful handwriting in preschool children aged 5 to 6 years. It is advisable to prepare your child for school in advance, since it is at this age that they are easily trained and are able to easily learn something new. If you don't take care of this in advance, children will have a hard time in elementary school.

Capital letters from A to Z

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Mathematics copybooks

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Recipes for children 6-7 years old

For preschoolers from 6 to 7 years old, it is advisable to use math copybooks, as they will not only be able to develop their hands, but will also easily remember numbers.

Writing aids are also important. With their help, it will be easy to prepare your child for school or help him in first grade. Writing copybooks will not only teach you how to write the elements of letters correctly and at the right angle, but will also help the child learn to read already written capital letters, which often causes a problem at the initial stage of a young student’s education.

Copybooks by points

This type of educational materials has become especially popular today. The dotted recipes are designed for children 5-6 years old.

A child’s thinking at this age is not always capable of assimilating information that he needs to learn to write and count according to certain rules established by the education system. Such standard methods may not be perceived by the baby, so it is better to give preference to learning in the form of a game.

We trace the letters by dots

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We trace the figures by points

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Circle the numbers by dots

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Didactic game “Count. Counting within 10" for children 4–5 years old

Tatiana Mezentseva

Didactic game “Conte. Count within 10 “for children 4-5 years old

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In preschool age, the foundations of the knowledge a child needs in school are laid. Mathematics is a complex subject that can be challenging in school. Also, not all children have inclinations and a mathematical mindset, so when preparing for school it is important to introduce the child to the basics of counting.

Developing quantitative relationships is a complex process that causes significant difficulties for most children. Often children do not understand why they need to count, measure, and not approximately, but accurately. Without realizing the meaning of the actions they perform, preschoolers perform them mechanically, which leads to formal assimilation of knowledge.

Premature learning of counting activities inevitably leads to the fact that the idea of ​​number and counting becomes formal. Therefore, learning to count does not begin immediately. It is preceded by preparatory work: numerous and varied exercises with a variety of objects, in which children, using appliqué and overlay techniques, compare aggregates and establish “additional” connections.”

, “less” without using numbers or counting. Taking into account all of the above, the game “Count” was created.

The game is designed for both joint and individual activities.

The games offered are designed for children aged 4 to 5 years.

Task:

Strengthening counting skills by 10.

Tasks:

1. Consolidation of reverse and ordinal counting, the ratio of number and quantity.

2. Development of attention, memory, figurative and logical thinking, the ability to analyze, compare, classify.

3. Strengthen the ability to answer questions “How much?”

, “Which number is greater?” , “Which number is lower?” , “To what extent is the number . more number? , “How much is the number .. smaller than the number?” ; strengthen the ability to combine into groups of elements for a given number, look at the total number of elements and call it a number. 4. Develop ideas about color, shape, size and properties of objects through vivid images and playful activities.

What else to read: Card index of educational design games for preschool children.

Material:

The game consists of ten basic cards depicting various animals from 1 to 10 and a series of numbers from 1 to 10.

Rules of the game:

Under the card, put a number corresponding to the number of objects or animals shown in the picture.

The child, having looked at the card and listened to the teacher’s task, must place a certain number.

Complication: using understanding of the meaning of the words “How many more?”

, "Least?" , “They left” , “On the right” .

"Ruler. Acquaintance with the “GCD” line for FCCM in the senior group

Objectives: Acquaintance with the concept of “ruler”, learning its practical use, learning to determine straight and curved lines, tactilely - by motor means. Objectives: To introduce children to the concept of “ruler” and teach it its practical use. Practice learning to count within 5, answer the question “how much” in a complete sentence. Clarify knowledge about the composition of numbers from units, consolidate knowledge of colors. Improve your knowledge of geometric shapes. Develop attention, logical thinking, fine motor skills, the ability to perform actions and accompany them with words. To cultivate perseverance, interest in mathematics, and the ability to act together. Materials and equipment: 20 cm ruler, sheets of white paper, a simple pencil, colored pencils, a set of geometric shapes of different colors, a set of numbers from 1 to 5.

Educator: - Good afternoon, guys. Let's get ready. - Ears listen - and hear everything, Eyes look - and see everything. Legs don’t interfere, hands help, And the head thinks well. Educator: - Guys, what kind of object do you think I’m holding in my hands? What is it called? Children's answers: - This is a line... Educator: - Children, this is a ruler. The word ruler is derived from the word “line”, “to line”, to draw lines. You guessed right. Let's think together about what can be done with the help of a ruler, how it can help us. (Teacher: hands out a ruler to each child. Children look at it, then put it on the table). Educator: - There are short stripes on the ruler, then longer ones, then a number, then stripes again. And all so that you can measure using a ruler. Do you think we can draw lines along a ruler? Children's answers: - Yes, we can. Educator: - Let's try to draw lines along a ruler. We take colored pencils and first draw a red line with a red pencil, then with blue, yellow, green, orange. (Children draw lines along a ruler on sheets of white paper.) Educator: - Did everyone succeed? What kind of lines did you get - curved or straight? Look closely at your lines. Children's answers: - The lines turned out straight. Educator: - That's right, guys. Well done! Now let's count our lines. How many lines have you drawn? (Children count the lines.) Children's answers: - We drew 5 lines. Educator: - Correct. Now look more closely and tell me, everyone’s lines are drawn correctly. What is the blue line? Children's answers: - The blue line is the second. Educator: - That's right, children. Our blue line is the second one. Let's repeat it all together. (Children repeat together.) And our green line, what is the number? Children's answers: - The green line is the fourth in a row. Educator: - Correct. Well done. Now look and tell me, the blue line is adjacent to which lines? Children's answers: - The blue line is with red and yellow. Educator: - No, children. The blue line is behind the red, but in front of the yellow. Let's all say it right together. (Children repeat together.) Educator: - Or you can say, behind the first, but before the third, or between the first red and third yellow lines. Do you remember? Let's repeat it all together to remember. (Children repeat everything together). Educator: - Well done guys! We have drawn 5 lines. Let's now count them in reverse order. (Teacher: we help children count 5,4,3,2,1). Children's answers: - 5,4,3,2,1. Educator: Well done children. Let's have a little rest Physical Minute One, two, three, four, five (children bend their fingers) The little ones went for a walk! (children walk in place) They ran along the path (they run in place) And jumped a little! (they jump in place) They returned to the cloud - mother, (they show a cloud above their head) They turned into warm rain (they show “they changed clothes”) And to the ground, drip and drip (they “drip” on the palm with their index finger) The drops fell together! (sit quietly on the chairs). Educator: - The numbers are so fidgety! They constantly get confused and get lost somewhere. Guys, please help me put all the numbers correctly. Look, don't you have these numbers on your tables? (Teacher: hands out cards, 2 numbers each with a space between them. Option, game “Neighbors”). Let's answer, who has a deuce next door? What about four? Children's answers: - Two is a neighbor of one and three. Four is a neighbor of three and five. Educator: - Well done guys! Let's play another game of "How Much". I will ask questions and you will answer in full sentences. Listen carefully! - How many ears do two hares have? Children's answers: - Two birds have four ears. Educator: - How many tails do three cats have? Children's answers: - Three cats have three tails. Educator: - How many paws does a bear have? Children's answers: - The bear has four paws. Educator: Correct. Let's listen further. Here are the mushrooms on the meadow, standing in red caps, 2 mushrooms, 3 mushrooms How many will be together? Children's answers: - Five! Educator: - Well done guys! We did a good job on this task. I will give you sheets of paper, and you, using a ruler and a simple pencil, must connect the dots. (Teacher: helps the children connect the dots on the sheet.) Educator: - Children, did everyone succeed? What shapes did you get? Name them. Children's answers: —— Triangle, square, rhombus, rectangle, circle. Educator: - That's right, children. We have got: a triangle, a square, a rhombus, a rectangle and a circle. How else can you call these figures in one word? Children's answers: - These are geometric shapes. Educator: - Now, using a ruler, look and tell me, is a square wider than a rectangle, and a triangle is taller than a circle? How else can you say the opposite? Children's answers: - A rectangle is narrower than a square, and a circle is shorter than a triangle. Educator: Well done guys. You and I learned a lot today. We can now draw straight lines using a ruler, draw geometric shapes, determine which ones are higher, lower, wider or narrower. It's time to finish our knowledge about the line. But we don’t say goodbye to her, we say goodbye. After all, now the ruler and I will continue to be friends. Goodbye, see you again.

How to teach counting to 10

You can teach your child to count to 10 before the age of five or, if necessary, at an older age. The main conditions for successful learning to count mentally up to 10 are a child’s good vocabulary and interest in numbers.

How to teach your child to count to 10:

• focus on numbers that you already use in everyday situations, for example: “You are four now, and soon you will be five,” “It’s time to get up, it’s already seven”;
• show pictures with different numbers of objects within 10: illustrations in books, cubes, your own drawings;
• educational videos and cartoons on relevant topics will help you quickly remember the sequence of counting to 10;
• connect the elements of mental arithmetic: teach your child to use an abacus – often children quickly learn to count to the nearest 10, manage an abacus or even a classic wooden abacus;
• use an element of the Montessori method: a famous teacher successfully taught children 3-6 years old to count, regardless of their initial skills, using the most visual practical material: money (Maria Montessori considered money exchange exercises her most effective lesson for understanding counting).

When sending your child to school, take care not only of his intellectual preparation. After all, at school the child will have to face a completely new world. Some children find it difficult to endure the adjustment period. Make sure that your child is not bullied by peers or teachers, that he does not have problems and that the “Where are my children” application will definitely help him!

How to teach counting to 20

You can teach your child to count to 20 when he is confident in counting to 10. To quickly and easily learn to count to 20, follow these steps:

1. Teach your child what zero is (if he doesn't already know) using visual examples. For example, show two books or two other identical objects and then remove them. Explain: there were two books, and now there are zero.
2. Show how new numbers are formed - it will be easier for the child to understand the principle using the example of numbers ending in zero. Let's say, in the Old Russian language “dtsat” means ten and, accordingly, the number 20 is two tens (you need to count to ten twice).
3. Introduce your child to the concept of “number composition” - including with the help of improvised objects: counting sticks, toys, fruits. Place 10 identical objects in a row, and on top put one object different from these ten, for example, a counting stick of a different color. Explain to your child that this is the number eleven. With sticks on top, show how you get 12, 13, 14 and other numbers up to 20.
4. Instruct your child to collect a certain number of identical objects (16, 17, 18, etc.), such as small toys, and count the number of objects out loud together.
5. Reinforce the material with a line of numbers from 0 to 20: this way the child will learn to count to 20 much faster. You can draw the number line yourself or use a 20cm ruler. By practicing with a ruler, the child will gradually remember how to write numbers and their correct sequence.

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DIY sound ruler for preschoolers templates

Speech therapist's OFFICE: speech therapy aids post pinned

Sound line from the wonderful book by A.I. Maksakova, G.A. Tumakov “Teach by playing.” The idea is very simple but effective. So I decided to make it out of wood and in the shape of a bus.

Line No. 1 The purpose of the exercises is to show children that sounds in words are pronounced one after another in a certain sequence (first the first, then the next, etc.); teach them to pronounce words drawlingly, emphasizing a certain sound in them.

Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa.

-What is the first sound you pronounce? Which one is next?

The teacher shows sound line No. 1. The entire line, including the bottoms of the windows surrounded by a frame, is the same color. The end of the retractable part of this ruler (the one that slides into the closed, blind side) is painted with some bright paint. When the teacher pronounces the first sound a, he begins to move the retractable part of the ruler, and a square, for example, blue, appears in the first window; pronouncing the sound y, the teacher continues to extend the ruler, and the blue square moves to the second window. When the word has already been spoken, the square disappears. This exercise with a sound ruler can be repeated 2-3 times in one lesson. The sound line helps children realize that the sounds in a word come one after another.

Line No. 2 The goal is to consolidate in children the knowledge that sounds in a word are pronounced in a certain sequence; show them that different words have different numbers of sounds (long and short words).

Sound ruler No. 2 differs from No. 1 in that the bottoms of the windows are painted a different color, and when the teacher, while pronouncing a word, simultaneously pulls out the movable part of the ruler, the windows open according to the number of sounds of the word.

There are these blue squares in it. - says the teacher, “like sounds, they follow each other, but do not disappear, they can be seen and even counted.” The teacher invites one of the children to clearly pronounce the word so that all the sounds sound well, and at the same time he shows on a ruler how the windows open one after another. For example, if a child says the word juice, then three blue windows open in sequence. Then, on the instructions of the teacher, the children pronounce other, longer words (table, bear, Cheburashka), and he draws their attention to the fact that one word has few sounds, the other has many. The teacher illustrates the number of sounds in words using a sound ruler.

How to teach counting to 100

When a child learns to count to 20 without leaving, it's time for parents to help their son or daughter learn to count to one hundred. Try teaching your child to count to 100 like this:

1. Tell your child that numbers greater than ten are called “two tens,” “three tens,” “four tens,” and so on. Subsequently, the word “ten” was shortened to “twenty” and the familiar “twenty”, “thirty”, “fifty” appeared. The exceptions to remember are “forty” (meaning “many”) and “ninety” (meaning “from nine to one hundred”).
2. Practice memorizing tens in the correct order from 10 to 100: 10, 20, 30, 40, 50...
3. Once you have memorized the correct sequence of tens, move on to units. Explain to your child that the numbers from 20 to 100 do not come in a row - there are always between them: 21, 22, 23 and so on. Children who have learned to count to 10 and 20 well understand and remember the sequence of counting to one hundred.
4. Ask your child to learn numbers gradually, one ten a day: from 10 to 20, from 20 to 30, and so on until 100.
5. Practice in a playful way. Connect your child’s love to finding inconsistencies and errors - deliberately skip the number in the line up to 100 and ask the child to find the “missing” number - such logic games help you quickly remember counting up to 100.

Having learned the numbers, proceed to gradually study the multiplication table. We have collected in one place and talked about the most effective ways to help your child easily cope with this task!

Addition and Subtraction: Effective Ways to Learn

At the beginning of school, most children already know how to operate basic mathematical operations: addition and subtraction. The modern curriculum for the first grades is structured in such a way that addition and subtraction problems are given to children almost immediately - and the best time to learn addition and subtraction is in preschool institutions.

How to teach a child addition and subtraction: first steps

Begin your acquaintance with elementary mathematical operations using visual objects - cubes, counting sticks or other child-friendly ones:

• disassemble number 2 - show the child that if you add one object and another object, you get 2;
• similarly, we analyze the remaining numbers within 10;
• make sure that the child understands the principle of analysis and independently adds objects without errors;
• Once you have mastered addition, move on to subtraction using the same visual aids.

Addition and subtraction on fingers

As your child learns to add and subtract objects, move on to finger addition and subtraction, or skip this step if your son or daughter can add and subtract all objects around him intelligently and safely. In any case, make sure that the child gradually weanes himself from counting on his fingers - teachers note that the habit of counting on fingers prevents children from learning to count in their heads.

How to teach a child to count on fingers:

1. When you find interesting puzzles for your child, start with the five fingers of one hand. For example, a difficult task: “You have 2 cars, so straighten two fingers. Brother has 3 cars, straighten three more fingers. You have a total of 5 cars."
2. We suggest solving subtraction problems. For example: “Mom has 4 lollipops, spread out four fingers. Mom gave you candy, bend your finger. Mom has 3 candies left.”
3. When the child begins to add and subtract within five without errors, proceed to similar actions with connecting all ten fingers.

How to teach a child to count in his head

Addition and subtraction of thoughts is one of the most useful skills for a preschooler, which will greatly facilitate learning mathematics at school. Before you teach your child to count mentally, make sure that he can add and subtract objects and that he has at least twenty.

How to teach a child to count in his head:

1. Create a clear connection for your child between a number and a visual picture - combine games with dominoes and math cubes. You can use a mathematical set using the Zaitsev method - a set of cards connecting a number and a geometric figure. Children take lessons well using Zaitsev’s method: gradually, in this way, they can learn addition and subtraction even within a thousand.
2. Teach your child, if he does not yet know, what “plus”, “minus”, “equals” are, with reference to visual examples.
3. Spend enough time analyzing the number. To add 4 and 3, a child needs to know that those numbers “fit” into the number 7. The same principle works with subtraction: to subtract 5 from 8, you need to know that 5 and 3 “fit” into the number 8.
4. Introduce your child to the rule “the amount does not change depending on the location of the terms.”
5. Include in learning all the gaming devices that your child will like: cubes, tables, counting sticks, cards, themed board games.

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How to teach a child to count backwards

If a child can count to one hundred and understands what units and tens are, there is usually no difficulty counting columns.

How to teach a child to count with a column:

1. Explain that numbers are added and subtracted in one column by category: ones - separately, tens - separately.
2. Show the sequence of actions if, when adding ones, the number is greater than or equal to 10: you need to write only the second digit, and you need to remember the first. For convenience, the resulting first digit can be written above the tens digit. Parents probably remember the expression from school: “We write two - one in our minds” (or other numbers from 0 to 9). Example: 17 + 15 = 7 + 5 = 12 (you write two, one gives tens) = 1 + 1 + 1 = 3 (sum of tens) = 32 (first digit is sum of tens) place, second digit is sum of units place ).

3. Teach your child to subtract columnar. The principle of operation is almost the same as with addition, only if the upper digit in units is less than the lower one, the missing unit must be “borrowed” in tens. For example: 31-13 = 11-3 = 8 (digit 1 is “borrowed” from tens) = 2-1 = 1 (digit 3 from tens is reduced by a “borrowed” unit) = 18.

Counting material for teaching children

In order for a child to successfully comprehend the basics of mathematics, adults often have to use various visual aids. Among them, a special place is given to counting material. When choosing it from a huge variety, you need to choose the option that will be convenient for you and interesting for children.

In mathematics classes, objects are elements of sets with which certain actions must be performed. Regarding them, a specific question about their quantity can be raised. Some points that may be of interest in classes in another subject are not specified here. For example, if we are talking about birds on a branch, then it does not matter what kind of birds they are.

In mathematics, attention is paid only to quantity and quantitative relationships. In order for children to understand the material, counting material is often used.

This type of visual aids includes counting sticks, abacus, counting boards, or, as they are called differently, abaci, an arithmetic box, geometric mosaics, various sets of thematic or geometric figures for counting, and cash registers of counting materials.

Choosing the right means for teaching children will make learning fun and exciting. The importance of this is due to the fact that children, right up to the start of primary school, learn and remember new things much more effectively if they are interested.

Among the factors that determine your choice should be the materials from which the sets are made, the appropriate age of the children, and the preferred shapes.

A variety of materials are used to make counting material sets. These can be cardboard cards, high-strength plastic or wooden figures, or magnetic elements. When making a choice in favor of a particular material from which the counting material is made, you should first of all take into account its safety and environmental friendliness.

Thus, aids made of wood are considered environmentally friendly and pleasant to the touch. They are typically hand painted with safe, non-toxic paints. High-quality plastic figurines can last longer and are lighter in weight than wooden ones. You should choose only high-quality, high-strength plastic that has no foreign odors. It’s easy to make the necessary materials yourself from cardboard, and you can even involve your child in this process. Magnetic cards are convenient for teachers to use on the board to demonstrate to a large number of children. They are also suitable for those who have a small magnetic board at home.

We offer an overview of the most popular and popular sets for teaching counting to young children.

It is very convenient to store the kit at home or in the classroom in the plastic pencil case included in the kit. The counting material itself is wooden, which makes it absolutely safe. The kit includes:

• counting sticks (20 pcs);
• squares – green, red and blue colors;
• circles of red, yellow, green colors;
• squares (two types and colors);
• plates: numbers and signs (28 pcs).

This set can be used in classes with children 5-10 years old at home, in kindergarten and school. With its help, the baby will be able to get acquainted with the basics of geometry, numbers, and learn to perform simple counting operations. The child will be able to put together fancy pictures from geometric shapes, developing imagination and fine motor skills. He will also be able to learn to find patterns and continue the sequence, which will contribute to the development of logical thinking, teach him to compare, reason, classify and draw conclusions.

A good set that can be used from the age of five. The set includes 132 elements made of high-quality plastic - geometric shapes, counting sticks and numbers, which are packed in a convenient plastic case.

With its help, you can introduce your baby to numbers and geometric shapes. Children will be able to form numbers and learn to solve examples and problems.

The kit is designed to work on a magnetic board in the following sections:

• an account with a change in the basis of the account and according to the conceptual measure;
• development of the ability to classify;
• the ability to divide a whole into equal parts;
• relationship between the whole and the part;
• sets, union of sets;
• problem solving;
• composition of numbers.

The set includes geometric shapes made from laminated cardboard - red, yellow, green and blue. The magnets must be attached to them yourself.

Set contents:

• circle division (diameter 20 cm) – 1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1/12.
• A square with a side of 12 cm and dividing it into parts in two ways: 1, 1/2, 1/4, 1/5, 1/8, 1/9.
• Circle, diameter 8 cm – 12 pcs. one color, 6 pcs. – other, 1 piece – 1/2+1/2.
• Counting sticks up to 10 in length in increments of 2.5 cm and up to 7 in width in increments of 1.5 cm.
• Geometric shapes: square, equilateral triangle, circle in two colors, 10 pieces each.
• Numbers and signs.
• Additional geometric shapes: rhombus (1 piece), trapezoid (2 pieces), equilateral (3 cm, 1 piece), obtuse (1 piece) and rectangular (1 large and 2 small) triangles, circle with a diameter of 3 cm (10 pieces) .

The set includes such geometric shapes as square, circle, rectangle, hexagon - 10 pcs each, triangles with angles of 30° and 45° - 20 pcs each. There is also a set of numbers from 0 to 9 - 2 pcs each, signs and counting sticks - 20 pcs.

To work with counting material in kindergarten, you should choose bright and colorful aids. With the help of an interesting design, it is much easier to attract the attention of preschoolers and make learning a fun, interesting game. It needs to be changed periodically so that the children are constantly engaged in the learning process. Today you can work with hedgehogs; in the next lesson, count how many birds have arrived.

For younger children, choose beautiful bright figures and sets with which you can teach your child to count to 20. Older preschoolers are already eager to go to school as soon as possible. At this age, children may like sets in a beautiful pencil case, because it is a necessary attribute of school education.

Children 6-7 years old and elementary school students who have already become acquainted with the basics of counting in the preparatory groups of kindergarten can be offered various sticks, cash registers, and abacus. Using them, you are no longer attached to gaming activities. The manuals help the child visually and make it easier to understand the mathematical operations that need to be done. With their help, it is easier for a primary school student to navigate the connections between the abstract and the concrete.

For children under 5 years old, counting material in the form of various figures is suitable. These could be apples, mushrooms, nesting dolls, various vegetables, transport, animals. With the help of such forms, you can play out many different situations to teach your child to count. Today the hedgehog will bring mushrooms, and the squirrel will bring apples. Tomorrow you will count how many vegetables you will add to the soup. Later, distribute the carrots to the bunnies. The most important thing at this age is play, which should not be forgotten by an adult working with a child.

It is also necessary to use three-dimensional numbers so that the baby correlates the concept of number and numbers. He will remember each number much better if he can touch it, run his finger along each line. After all, tactile perception plays a huge role in the development of a baby from a very young age.

Children of senior preschool age and primary school students can already be offered various geometric shapes as counting material, which can also be used as mosaics. This way, the child will be able to remember the name of the shapes, learn the main colors, and will lay out various pictures from the details.

Also, children of this age may like sets with 1 cm cubes. Such sets can be used not only for counting. With their help, the child will learn to sort, construct graphic images, and become familiar with the concepts of “perimeter,” “volume,” and “area.”

Counting sticks are a universal educational tool for children of all ages. The youngest will need strict adult supervision. With their help, you can begin to develop a child as early as 9 months. They will help develop fine motor skills, learn colors, many different concepts, such as “one-many”, “wide-narrow”, “long-short”, etc.

They help teach a child to compare, find similarities and differences, promote sensory development, develop logic, imagination, and the ability to think outside the box. With the help of sticks, the child will be able to get acquainted with the basics of geometry. And, of course, they will help in teaching your child to count and become familiar with basic mathematical operations.

Any parent can make counting material with their own hands, which will significantly save the family budget. You can make it from improvised materials that are at home:

• Numbers
• Counting from 1 to 10
• Number composition
• Subject pictures
• Geometric figures
• Math puzzles

You can also use beads, clothespins, fabric appliqués, and various waste materials.

There are a lot of different options, all an adult has to do is turn on their imagination and express themselves. You can cut and glue from cardboard, you can sew and knit, you can draw - do what you like. For a child, aids that are made with love by his mother will be the most beloved.

In order to teach a child to calculate, you can use a wide variety of counting materials: abacus, abacus, sticks, cards, various ready-made sets of counting materials, etc. In primary school lessons, teachers also use all these aids to teach children various counting operations.

Advantages of using counting materials:

• visual demonstration of the computational actions performed;
• accessibility of understanding the meaning of arithmetic operations;
• the use of counting materials helps in the development of fine motor skills;
• accessibility - you can always find counting material at hand without purchasing anything special.

Disadvantages of using counting materials:

• the habit of using any objects for counting sometimes complicates the child’s transition from an objective environment to an abstract mental form;
• There is a wide choice of different counting materials. For adults who are not specialists, it is sometimes difficult to understand the teaching methods of a particular manual.

The abacus is somewhat reminiscent of the Soviet abacus. It is a wooden frame with knitting needles, on which 5 dominoes are strung. The number of knitting needles may vary. The knitting needles pass through a bar that separates the knuckles. There is one domino above the knitting needle, and four below it.

When counting on the abacus, the ability to work with the thumb and forefinger is very important. With the help of repeated repetitions it is necessary to bring it to automaticity. Keep in mind that this skill is quickly forgotten without regular training.

Arrangement of number lines: Each digit occupies its own spoke. The domino below the dividing bar indicates 1, above the dividing bar - 5. Let's look at a specific example. The number 3 on the abacus will be marked like this:

Here, one domino is raised on the tens digit, and on the units we lower the domino, which represents 5.

Thus, numbers are deposited on the abacus and various counting operations are performed. With it you can add, subtract, multiply, divide and even raise to a power. However, such complex operations are already the basics of mental arithmetic, to get acquainted with which it is better to attend a course of relevant classes.

Counting material is necessary when teaching children mathematics at home, in kindergarten and school. It is presented in a wide variety in stores. But it is not always convenient to use purchased items. Among your things you can find something that your baby will like best. Learn the basics of mathematics with your little one with pleasure and always by playing, then the learning process will be much easier.

For information on what counting material is, see the following video.

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Learning to count

How to teach a child to count.

As practice shows, a child’s memory is selective and children remember only what they want to know and what they need to know, and memorizing numbers does not seem to be specifically included in their plans. But what interested them, surprised or frightened them, they remember with pleasure.

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Let's learn to count with Peppa Pig.

We develop attention and thinking, visual memory, remember writing numbers.

• Learn to count from 1 to 5 puzzles.
• Math puzzle from 1 to 10.
• Count and stick with Peppa Pig.

Download and print on a heavy-duty color printer. Then chop and mix everything.

Fun games with Peppa Pig.

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Let's learn to count with the Paw Patrol.

Games will help your child remember numbers, develop attention and thinking.

• Math puzzle
• Counters with clothespins
• Counting puzzle
• Puzzles and icons Counting flies
• 4 piece puzzle

Download and print on a heavy-duty color printer. Then chop, mix everything and let the baby assemble.

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Cards with numbers. Lacing + Clothespins.

Fine motor skills take practice and learning numbers takes practice, so take this idea to heart, print out the number cards and practice!

This game will help your child develop fine motor skills, sensory perception, introduce numbers up to 10, teach counting, and also promote logical thinking.

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We count together with the Fixies.

• Counting game
• Puzzles Fixies Figures

By playing the Counting game, your child will quickly learn how to count simple examples.

you need to add a couple so that the example has the correct answer. If the child does not answer correctly, riddles will be asked. If the pair is formed incorrectly, the blocks on the puzzles will not fit.

Play the game Numbers - Puzzles and your child will quickly learn to count, diversify the learning process, and Fixies will always ask you questions and help you with the answer!

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DIY game “Learning to count unicorns with clothespins.”

Use our templates for educational games with your child.

Using the example of the game “Learning to Count,” we can easily and quickly create such a wonderful and educational game.

We need:

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Let's play school.

Sometimes, for some reason (it may be poor health or the wishes of the parents), a child does not go to kindergarten or preschool group at school before school. This can cause a serious delay in the child's start to school.

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Demonstration material for mathematics in kindergarten, counting aids, cards, laptops, etc.

Teaching numeracy, systematized and methodologically justified by the Federal State Educational Standard (FSES), is included in the system of work with preschoolers in kindergarten. However, the age characteristics of children require particularly careful preparation of visual aids. The most important role is given to the counting material. We will look at the types of counting material used in mathematics classes in different age groups, and give advice on how to make it yourself as a demonstration and handout.

The validity of using visual counting material in kindergarten

In a preschool educational institution, children begin to master counting at the age of three, and this is their main mathematical activity. Learning takes place with the indispensable support of visual aids, since abstract logical operations performed during counting (merging and dividing sets, comparing quantities and numbers, comparing sets) are difficult for children to understand and require “objectification.” Visual counting material is a comprehensive didactic tool aimed at developing basic ideas about counting as part of targeted learning.

Famous teacher K.D. Ushinsky said: “Children’s nature itself requires visual learning.”

Such benefits are very diverse, and their application in each case depends on:

• specific content of educational material (for example, teach children of the second youngest group to distinguish between the concepts of many and few);
• methods used (more precisely, certain gaming techniques, for example, illustrations for a fairy tale in which characters learn to count);
• the age of the children (if in the second younger group there may be cards with pictures of the same animal, then in the older group the pictures depict different animals, that is, the essence of the phenomenon being described becomes more complex).

Counting in kindergarten is mastered along with other didactic skills and concepts, for example, learning about colors: distribute the mushrooms into baskets of the corresponding colors and say which one has more/fewer of them

Visual material must meet the following requirements:

• scientific (correspond to scientific data on counting);
• pedagogical (carry an educational, developmental, educational load);
• sanitary and hygienic (do not contain harmful substances, do not cause eye strain;
• aesthetic (beautiful design, bright and clear images)

Features of demonstration and handout material for different age groups

Calculating material in mathematics, like other visual aids, can be of two types:

• large, that is, demonstration, which is used by the teacher to explain and show how to operate with it (magnetic boards, posters, paintings, etc.);
• small, that is, handout (cards, laptops, etc.), using which all children perform certain tasks at the same time, which allows organizing independent activities of children to develop the necessary mathematical skills and abilities.

Visual mathematical material differs in the type of counting activity, which is a priority for a specific age category.

1. Second junior group. To form the concept of singularity and multiplicity, you can use, for example, puzzle pictures, cubes in which numbers are surrounded by elements with the same number of fruits (vegetables, animals, etc.) or pictures with dots that need to be correlated with the number. By the way, the same material with dots is still used, only there are more numbers.
2. Middle group. Children must be able to give an accurate assessment of a set of objects, in this case counting to 5. For this, pictures depicting objects and numbers corresponding to their quantity are actively used, as well as a combination of a toy and a three-dimensional number. For example, to recognize the graphic image of a number, the task could be as follows: help the bunny find the number 3. Place a moth on a flower with five petals.
3. Senior group. Kids count to 10 and can add or subtract one at a time. For clarity, they use, for example, the game of dominoes, matching a number with a picture with the same number of objects.
4. Preparatory group. Children can compare numbers “more and less”, and make up given numbers from two smaller ones - 5 from 2 and 3, for example. The demonstration material becomes more complex. These could be tasks for comparing the number of objects in pictures, composing a whole image after sequentially folding numbered cut parts, etc.

Counting sticks are a universal visual aid: they allow you to demonstrate and practice all types of counting activities.

Thus, the first manuals are aimed at ensuring that children learn to correlate the visual image of a number and the number of objects it denotes. In the middle group, this work is no longer on “recognizing” the image of a number, but on quantitative counting up to 5. In the older group, children learn to perform basic addition and subtraction operations, and in the preparatory task materials are comparative in nature, since children already know how to correlate quantities , indicated by numbers.

At any stage of training, it is necessary to think over a way to get acquainted with the graphic image of a number, for example, in the form of creating an application

Types of handouts

As already mentioned, manuals can be demonstration or handout. And there are also those that can be used in both cases (for example, Dienesh blocks). The teacher chooses the types of handouts depending on the age of the children. So, already in the first junior group, children get acquainted with cubes and counting sticks. True, so far the assessment level is “a lot or a little.” Typically, the gradation of the use of types of handouts depends on the age of the children: the younger, the more toys, and the older, the more drawings and diagrams. In general, the following counting aids are actively used in kindergarten:

• Cuisenaire sticks (multi-colored parallelepipeds of different sizes made of wood or plastic are used mainly in the second junior and middle groups, when the concept of quantity is introduced);
• Dienesh blocks (a set of geometric shapes of different sizes, which can be used by analogy with Cuisenaire sticks, as well as to introduce rectangles, triangles, circles, squares);
• cubes (in the younger group they practice the concepts of “many and few”);
• pyramids (as a budget, more affordable version of Cuisenaire sticks and Dienesh blocks);
• beads, buttons (in junior and middle groups);
• pictures, puzzle pictures, cards (for all ages);
• fan with numbers (for senior and preparatory groups, in which the children already clearly associate a number with its graphic image);
• lapbooks, tasks in which can combine all of the above manuals, etc.

Please note that there is no clear age division in the use of counting materials, since their use must be justified from the point of view of the educational goal. And yet, in the senior and preparatory groups, the emphasis is on cards, so that children get used to working with clarity “like at school.”

Photo gallery: examples of counting handouts

The capabilities of counting cubes allow them to be used up to the preparatory group. To master the skill of counting to 5, it is convenient to use special pyramids. A fan with numbers is a tool for school, but can also be used in kindergarten. On the blocks you can practice mastering basic geometric shapes and counting objects in groups Learn You can count on sticks completely unnoticed: for example, by laying out figures from them

Lapbook for FEMP “Quantity and counting”

A laptop is a folder that contains material on a specific topic. The organization of the material in such a manual is that the teacher arranges the visualization in the form of mini-books, accordion layouts, gift boxes, windows or pockets, etc. In addition, the lapbook necessarily includes tasks of a creative nature.

Lapbooks are also used to form elementary mathematical concepts (EMPs) - the fruits of the teacher’s creative approach to the implementation of learning tasks. Benefits are calculated for a specific stage of training. Since lapbooks were originally made by parents to teach their child, these manuals, put on a “methodological stream,” are now used for individual work, as well as for working in pairs or threes.

How to make didactic materials for a preparatory group with your own hands

First, you need to determine the goals of the Quantity and Counting lapbook.

1. Strengthen the ability to count to 10.
2. Practice ordinal and quantitative counting.
3. Practice the skill of comparing numbers with the number of objects.
4. Learn to write numbers.
5. Develop the ability to add, subtract and compare numbers within 10.
6. Develop active vocabulary, logic, memory and thinking.
7. Work on the ability to independently solve assigned problems.
8. Cultivate responsiveness, self-confidence and self-confidence.

After the organizational stage, you can proceed directly to production. This process begins with the preparation of the necessary materials. Moreover, methodological questions are developed first, and only then a suitable design is selected for them.

Typically a lapbook includes:

• pictures with numbers for visual perception of their graphic image;
• cards with numbers and objects (either separately or 2 in 1);
• puzzles (cut numbers or pictures, each piece of which shows a number, etc.);
• pictures of fairy tales with numbers in their titles;
• coloring books;
• copybook;
• riddles, counting rhymes, etc.

It is most convenient to organize materials into files, which, in turn, are stored in a folder. The cover of this manual frame should also be brightly designed. But with such packaging, it is troublesome to work with the materials: before use, part of the manual will have to be laid out. So you can take advantage of the experience of your colleagues and make the pages of the lapbook cardboard, and on these sheets you can attach files, pop-up books, and boxes with surprises.

Photo gallery: example of a homemade laptop

For a lapbook, using a folder is the most durable Cards with dots and numbers can be put in bright envelopes so that the child becomes interested in their contents When making such a manual, it is assumed that children know how to write By laying out numbers from elements, children remember the graphic image of numbers, and also train their eye With the help of a lapbook, children quickly and easily understand the essence of the comparison. Having solved the example in the garage and in the car, the child must correlate the same answers. Children, as a rule, get excited about playing dominoes.

Individual cards in mathematics for the second junior, middle, senior groups

Learning to count is something that requires maximum concentration and constant practice from a child. The latter is designed to provide individual cards - methodological aids for working on a topic one at a time or in mini-groups (2-3 people).

1. In the second younger group, to practice the concept of one-many, for example, a card may have a picture of a steam locomotive. The child receives a stack of trailers and distributes them according to the card. At the same time, the adult focuses the child’s attention on the fact that at first there were no carriages, then one appeared, and then “many.”
2. In the middle group, counting to 5 is very effectively trained by correlating elements of pictures (for example, dots on the back of a ladybug) and a graphic image of the number.
3. In the older group, to practice counting to 10, you can use tables with dots and small cards with numbers that children must correlate with each other. Or cards with numbers to restore counting order. By the way, the skill of writing numbers is trained in the same way.
4. In the preparatory group, the cards can be graphic examples of addition and subtraction: the child counts the number of objects to the left of the + or - sign and writes the result in the cell provided for this.

For practical reasons, it is better to laminate cards. Then, even if the child needs to write something on an assignment (for example, the answer to the solution to an example), he will be able to do it with a marker that can be easily wiped off the cellophane.

To ensure that the numbers are always in the children’s field of view, you can install a “Fun Counting” folder in the group. She will introduce the kids to both numbers and the number of objects in a group.

Photo gallery: examples of individual cards and a picture for a mobile folder

In the younger group, children learn to evaluate sets by attaching different numbers of cars to locomotives. In the preparatory group, children perform addition and subtraction in the range from 1 to 10. A child in the middle group must count the spots on the back of a ladybug and connect it with the appropriate number. In the older group, children learn to perform simple arithmetic operations ranging from 1 to 10 Bright and beautiful pictures from the sliding folder will attract the attention of the children and teach them to relate the number to the number of objects

Pictures for teaching counting in senior and preparatory groups

There are no particular differences in the form of the pictures, only the tasks, that is, the content, differ.

Photo gallery: individual cards for the senior group

Cards with numbers can be made at home. By rearranging the number of balls, the child will learn to count to 10, as well as sort things according to the “new/old” principle. An individual card can contain a creative task: fashion a number from plasticine. Such houses help children learn the composition of numbers.
It is worth noting that cards do not always represent a drawn/pasted image. An individual card may consist of individual elements that are laid out on a sheet. A kind of overlay applique.

Photo gallery: counting aids for the preparatory group

This is how children are presented with the principle of variability of terms with the same sum. This is a dynamic card, that is, it comes with a pocket with balls with examples, as well as cards with answer numbers. In the preparatory group, children easily cope with the task of entering the neighbors of numbers in the windows of the house. Such a benefit is not only trains mathematical skills, but also develops fine motor skills.
Demonstration counting material is a manifestation of the teacher’s imagination, aimed at ensuring that children learn the basics of mathematical operations while playing. Lapbooks have proven themselves very well, as the children enjoy playing with such large applications, which include pictures, puzzles, and coloring books. When preparing this manual, two important points must be taken into account: the laptop must be strong, that is, not crumble during use, and entertaining, so that with its help the teacher can realize the set training, developmental and educational goals.

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Methods for teaching counting created by famous teachers

Try linking one or more effective teaching methods to learning numeracy:

Peterson

Peterson's method teaches children mathematics exclusively in a playful way: with the help of cubes, drawing, and logic games.

Glen Doman

Glen Doman's method is entirely based on visualization: children see numbers and the corresponding number of points on cards, gradually mastering counting:

1. Prepare cards from cardboard: write a number on one side, and on the other, draw the number of dots corresponding to this number.
2. Show your child the card with a dot and clearly indicate the number “One.”
3. Proceed to other cards in the same way. Don't delay - the card should take as long as it takes to pronounce a certain number.

During the first lessons, the child can act as an observer. Don't ask him to repeat it. After showing all the cards (10, 20 numbers depending on age), be sure to praise the child, tell him how much you love him and how you love to teach him. You can treat your math future to something tasty because physical rewards are an integral part of Glen Doman's methodology.

From 3-4 lessons you can start shuffling the cards, that is, showing them not in a clear numerical order. Remember the main thing - we show quickly, we praise generously.