Mathematical examples of children 6 years old. Math games. Do "sweet classes"

Children, like tiny sponges, absorb information about the world around them. However, if one-year-old crumbs can only observe what is happening, then preschoolers are distinguished by the ability to analyze and reflect. They are already beginning to compare objects by quantity, establish connections between them, and solve logical problems. All these skills will certainly come in handy in school. And, therefore, parents should throw all their efforts into their development and maintenance. Mathematics for children 5-6 years old will help to cope with this task. Let's talk about the intricacies of teaching children this difficult, but very exciting science.

What preschoolers should know and be able to do

As a rule, children learn to count up to ten already at the age of three or four. Closer to school, parents introduce them to two-digit numbers and simple mathematical operations. In order for the children not to lose their knowledge, it is necessary to repeat the material covered, increasing its complexity over time.

According to teachers, children prepared for school should have the following skills:

  • solve simple puzzles and tasks;
  • own the concepts of "back-forward, top-bottom, right-left";
  • subtract and add prime numbers;
  • conduct a comparative numerical analysis using the words "greater, smaller, equal";
  • independently count to ten and back;
  • answer the questions: “what is the number?” and how many?";
  • to carry out the division of a circle and a square into identical parts;
  • know the geometric shapes of objects.

Children should master the listed skills at the age of 5-7 years. How quickly this happens depends mainly on the parents of preschool children, the children's craving for learning and the form of organization of lessons. Fortunately, today there are many manuals and workbooks for older preschool children. Take at least educational books from the “School of the Seven Dwarfs” or “Learning to Count” from Toru Kumon. Being engaged with children in special literature, parents will notice the first successes very soon. But how to properly teach a child of 5 and 6 years old mathematics in order not to make mistakes and not instill an aversion to the exact sciences?

Let's start with the fact that mathematics classes for children 5-6 years old should be held in a playful way. This way of mastering the material is optimal for preschoolers. If you just sit a child in front of textbooks, he can quickly get bored and switch his attention to something more interesting (landscape outside the window, bizarre patterns on the wall, etc.). As a result, such "burdensome" and "tedious" lessons will only cause irritation in him. And every invitation from parents to do math will be taken with hostility. Here are some other tips for organizing lessons:

  • Engage only when the child is in a good mood. Attempts to force a preschooler to study without his desire can lead to absent-mindedness and poor concentration. Since children of 5-6 years old have predominantly involuntary memory, it is much easier for them to remember information that causes positive emotions.
  • Study regularly, periodically introducing something new into the lessons. It's no secret that small children get bored with monotony very quickly. And with the loss of interest, the information is unlikely to be deposited in the heads of young students. In addition, lessons should be conducted systematically so that preschoolers can constantly update their knowledge, develop their skills and abilities.
  • If the child fails to do something or he cannot grasp the essence of the task, do not be nervous and annoyed. It is necessary to methodically explain the task to the preschooler until he has no questions left. Exaggerated parental demands and negative assessments of the child's actions can once and for all discourage him from doing mathematics.
  • And finally one cannot "stand" over the children, forcing them to solve one problem after another. Although this method of teaching will lead to the assimilation of the material, it will discourage the preschooler from learning. Therefore, all classes should be held in an easy and interesting way. Developing mathematics for children aged 5-6 requires the child's involvement in the process, his direct participation in the development and solution of problems, personal initiative, the connection of fantasy and imagination. The combination of all these components is the key to effective learning.

L.G. Peterson, the developer of the elementary mathematical course “Player”: “Often, the preparation of preschoolers comes down to teaching them to read, write and count. According to studies, it is not those children who have a meager amount of skills and knowledge that face serious difficulties in primary school, but those who demonstrate passivity, do not want to think and learn something new. In this regard, the main goal of primary training should be the all-round development of the child: his creative and intellectual abilities, personality traits, motivational factors. In this case, special attention must be paid to the connection of fantasy and imagination. It is creativity, along with the ability to create and invent something new, that contributes to the formation of the personality of a preschooler, the development of his independence and cognitive interest.

card lessons

Consider a few exercises that contribute to the development of a child's mathematical abilities. To conduct them, you will need cards with numbers from 1 to 10. Of course, parents can quickly and easily make them. However, it is much better to involve a child in this process, entrusting him with the most interesting and responsible work. So, we are preparing educational cards. We offer the preschooler to independently divide the album sheet into four equal parts and cut out the cards along the lines. After counting 10 pieces, we give them to the child and ask them to write a number on each and draw the corresponding number of pictures. It can be circles, flowers, hearts, etc. If the child finds it difficult to write any numbers, you should help him with this. After the cards are ready, you can start classes:

"Put it in order"

This exercise will help the child remember numerical values ​​and the concepts of "more - less". We ask the preschooler to arrange the cards in order, starting with the smallest and ending with the largest number. The exercise not only helps to consolidate the studied material, but also perfectly trains memory and imagination.

"Compare Numbers"

Having shown the child two cards, we offer to compare them. To begin with, the preschooler names the values ​​of the numbers, then answers the question which of them is larger and by how many units. Then you should replace one of the cards and repeat the same questions. Such an activity can continue for a long time until the child loses interest in it.

"Count the items"

Since, in addition to numbers, various images are applied to the cards, it is worth asking the child to count them. You can also complicate the task by preparing sheets with drawings of various animals and a number series from 1 to 10. Having counted the number of animals, the preschooler must circle the corresponding number. As a rule, this exercise is very popular with children and does not cause them any particular difficulties.

"Missing Numbers"

The child holds the cards in his hands. An adult calls him two numbers, for example, 1 and 4. The young student finds these cards and puts them on the table at some distance from each other. Now he must fill in the gaps between the numbers and find the two missing links. Accordingly, these will be cards with the numbers 2 and 3.



Entertaining mathematics

Parents of preschoolers should be imaginative when designing activities. It is not at all necessary to conduct lessons while sitting at the table, when there are so many fascinating things and phenomena around. So why not use them for arithmetic purposes? For example, you can involve children in the preparation of their favorite dishes, whether it's pizza or apple pie. Ask your child to count out two cups of flour and let them pour them into the prepared bowl on their own. Have the preschooler bring five eggs from the fridge by carefully placing them in a bowl. Let the child independently add three spoons of sugar to the dough, etc. Such entertaining mathematics will not only give the child great pleasure, but will also be deposited in his memory for a long time.

Most likely, he himself will not understand that he is involved in the learning process. For example, when going to kindergarten in the morning, invite a preschooler to count the number of buttons on his shirt. And when you arrive at the hospital, determine the number of patients in the queue. And how many objects to count can be found walking down the street! Cars near the house, people at the bus stop, birds flying in the sky, floors of buildings - and this list is almost inexhaustible.

Alexandra, mother of eight-year-old Andrei: “My son and I learned to add and subtract at the age of 5. And they did it right away in the mind, without using chopsticks and bending fingers. We go somewhere, count the items, and then add 1 to them. For example, three cars are parked near the store and another one drives up to it. The son adds up in his mind and gives the answer. Later they began to add 2, 3, and so on increasing. Then they changed the order of calculations. They began to add more to the smaller number. This, of course, was given more difficult, but over time you got used to it. We walk a lot. At least - a daily "walk" to the garden and back. Now we are already attending a school, the road to which takes 20 minutes in one direction. So there is plenty of time. We finished with the score, now we began to learn English words by the same method.

Math Games

Many children with a humanitarian mindset tend to consider mathematics a rather boring science. However, it is enough to show the children the reverse side of this subject, as their opinion will change dramatically. Math games for children 5-6 years old will help adults with this. We list some of them:

"Count the Claps"

This game contributes to the development of not only mathematical abilities, but also auditory perception. Clapping your hands with different strength and frequency, you need to ask the child to count the number of strokes. You can complicate the task by asking the baby to reproduce what he heard.

"Hocus Pocus"

Taking several small items (candy, buttons), an adult clamps them in his fists and hides them behind his back. Next, the child is given a simple mathematical problem. For example: “I only have seven buttons. In my right hand I hold four, how many are clamped in my left fist? If the preschooler answered correctly, you can offer him to switch roles. Let him come up with a problem himself and calculate its solution in his mind. If the child gave the wrong answer, it is worth hiding the objects behind the back again, but in a different quantity.

"Find the Extra"

An adult cuts out several dozen pictures of various categories from magazines: transport, food, plants, furniture, etc. Next, you should lay out images of one subject on the table, adding a few extra objects to them. The child is given the task to count all the pictures, find "foreign" objects and name their number. Finally, the remaining images of the same category are counted.

"Name the Number"

This game is a group game. The adult leader becomes the center of the circle formed by the children and alternately throws the ball to the kids, calling any number. Each child, waiting for his turn, throws the object back, saying the next number in order. In this case, it is desirable to avoid repetitions.

Point drawing

When the child already easily copes with the above exercises, then you can offer him drawing by dots. This is a very exciting activity, since in most cases, it is not known what kind of picture will turn out in the end. Therefore, children are happy to connect the dots, drawing lines in order from one number to another.

Walking games

Many people remember such games from childhood. Their essence is that on the playing field the path is marked along which you need to get from one place to another. And the players take turns throwing the dice, counting the number of points that have fallen out and making a move, again counting. The account is limited to numbers from 1 to 12, but the child learns to add. For example, 3 and 6 points on the bones fell out. And the player's task is to calculate how many will be 3 + 6. He can make a move only after he gets the correct result. The whole family can be involved in the game process, it will be an exciting pastime.

"Shop"

This role-playing game is familiar to many adults. After all, little inventors periodically involve their parents in their fun. Here they become sellers and offer buyers to purchase products from them. Or they themselves come to the store for toys. Usually various pieces of paper act as money. But it would be much more useful to take a few real coins or buttons and make a very real settlement with the buyers. Over time, you can introduce the concept of "surrender". If the cheese costs 3 rubles, and the buyer gives one five-ruble coin, it is necessary to return the extra money to him. A child involved in the game will learn to count and simple mathematical operations much faster.

Eva, mother of seventh-grader Varya: “I taught my daughter to count mentally even before school. We started with the simplest numbers, then introduced two-digit and three-digit numbers. Now Varya is 12, she counts faster than me and dad. And the secret is very simple: the main thing is that the child is involved in the learning process. We introduced our daughter to money very early. Taking her out of the kindergarten, I first gave Varya 5 rubles for a piece of candy or chewing gum. She herself calculated whether she had enough money, how much she should have left, and so on. Gradually, the amount increased to 20 rubles. My daughter managed to divide it into several purchases, making the necessary calculations in her mind. Now mathematics is her favorite school subject, she consistently takes part in all the Olympiads.”

If the child refuses to count

Some children categorically refuse to learn counting skills even in a playful way. Often the reason for this is the wrong approach of parents to conducting classes. After trying a couple of times to work out with a preschooler according to the “sit and decide” scheme, many adults beat off their craving for mathematics for a long time. However, dislike for the account can be explained by the overload of the child with various developmental activities or sections. Or maybe the preschooler just does not like the reaction of parents to incorrect answers. And there can be many such reasons. How should parents behave if their children refuse to learn to count?

Stock up on patience

Perhaps the child does not understand mathematics due to his young age. After all, not all five-year-olds have the ability to calculate. In addition, humanitarian-minded preschoolers may ignore numbers until they are in first grade. On the other hand, many of them by this time already read quite fluently and even know how to write. Therefore, you should not react sharply to the unwillingness of the child to count. After all, being successful “on all fronts” is simply unrealistic.

Use the method of "coercion by persuasion"

If a preschooler has the ability to do mathematics, but simply does not want to learn, you need to convey to him the need for this process. After all, counting skills are indispensable. This should be talked about as often as possible, demonstrating this fact with real-life examples. So, moving with a child around the city by bus, a mother can tell him, “Please help me, my hands are busy. Get a change out of my jacket pocket, count out fifteen rubles and pay the fare. Oh, I completely forgot, you can't count. You'll have to manage on your own." Periodically creating such situations, you can gradually convince the child that it is time to learn to count.

Arrange "number attacks"

If the child does not want to perceive numbers, you need to surround him with them. To do this, prepare a lot of cards with numbers and pictures. By hanging sheets of paper around the perimeter of the apartment and focusing attention on them from time to time, it will be much easier to teach a child to count. It is also necessary to include numbers in speech as often as possible when communicating with a child. You can play hide and seek with him, loudly counting the time, learn verses from the category “one, two, three, four, five, the bunny went out for a walk”, show unobtrusive educational cartoons with the presence of numbers, etc. Over time, the preschooler will certainly be imbued with an interest in mathematics.

Do "sweet classes"

If a preschooler does not want to accept either classical or game methods of teaching counting, a win-win technique can be used. Perhaps no child will refuse sweets. So why not give the children the condition that they will only receive candy when they can name the correct amount. This will spur the desire in preschoolers to quickly master the skill of counting.

Thus, mathematics for preschoolers is an insanely interesting and exciting science. The main thing is to choose the right form of education, which will be as pleasant and easy for the child as possible. Ideas for entertaining lessons are all around us, you just need to turn on your imagination and look at familiar things from a new angle.

Related videos

At this age, it is necessary to teach the child not only to count (at least up to a hundred), but also to be able to solve the simplest mathematical examples, as well as to distinguish between maximum and minimum and be able to solve simple equations. All this will help the preschooler not only be a little more confident in the classroom, but also develop his logic. But what are the best tasks and techniques to use?


Learning to count with bills and money is the most affordable way

Teaching methods for older preschoolers

Cards with numbers

Cards are a real salvation for parents: with their help, you can use numbers, develop his memory, attention and logic.

Especially skillful parents will play whole representations with cards and explain the most difficult mathematical operations: subtraction, addition, division and multiplication.


Math flashcards can be made by yourself

It is better to make two sets of cards (one will remain with you, and you will give the second to the child). Next, you ask the baby to find a pair for the card you have taken out and name the number (mindfulness development). Or put all the cards together, inviting the baby to find the same pairs (memory development).


It is best to use a combined method

coloring pages

Coloring pages have always attracted the attention of kids, because with them you can do whatever your heart desires. That is why it is impossible to pass by a wonderful opportunity to use this property when teaching a kid math.


Math coloring books - a book for children 5-6 years old

Try to choose coloring pages according to the child's preferences and gender.

The baby will be interested in coloring pictures with cute animals, and not with creepy monsters, and the boy will quickly get bored with coloring princesses.

Recipe

If you feel that your baby is extremely insecure in writing numbers and with difficulty making numbers out of them, then print out several different prescriptions, every day offering the baby one of them to choose from.


Mathematical prescriptions are sold in stationery

By tracing and drawing numbers, the baby will not only gradually memorize them, but also develop fine motor skills of the hands, write much more accurately and get used to holding a pen or pencil in his hand correctly.

Choose captions that make it interesting for the child to complete the specified tasks (for example, you can choose captions with funny cartoon characters that will tell the child the task). Besides. in this case, it will always be possible to justify the failure of the kid by the failure of the character (for example: “Look, your bear drew the six wrong! Let's help him correct his mistake?”).


Geometric puzzle "count the shapes"

connect the dots

Drawing by dots is a favorite pastime for kids. But how to make this game useful for a child learning numbers and numbers?

Everything is very simple: we give each point its own serial number and invite the child to connect all the numbers in order, thus obtaining a beautiful picture, which can then be carefully colored (in this way we additionally train accuracy and fine motor skills - extremely important qualities for a preschooler).


Drawing by dots - pictures with a mathematical bias

If the kid can easily cope with the task, complicate it by inviting the child to connect the dots in reverse order (that is, from the largest number to the smallest). Countdown training is a very important activity that is designed to develop the left hemisphere of the brain.


The development of mindfulness in the problem "Find the difference"

Puzzles

This game is designed for kids who are just getting acquainted with numbers. It will help them remember the correct order of numbers and their symbols.

Math puzzles will help you quickly learn how to navigate numbers

Take any picture that will arouse interest in the baby (for example, boys will like a picture with brave robots, and a girl with their favorite princesses) - it is better to take a large format picture so that the baby does not get confused - then cut the picture into 9 vertical strips and for each strip glue (or draw) a number (from 1 to 9). So that the picture does not wrinkle during classes, it is better to laminate it (this can also be done at home using transparent tape).


The process of assembling puzzles is very exciting.

Do a regular mindfulness exercise: ask the child to turn away and swap the stripes, and then ask if the picture is assembled correctly.

If the baby gives a negative answer, ask him which numbers are wrong (it is important that the child is guided not only by parts of the picture, but also by the order of the numbers).

Even with such a seemingly unnecessary thing, you can arrange a wonderful game for practicing counting: take a dice and any coloring picture. Next, on each element, write a number from 1 to 6. The kid will throw a bone and paint over one dropped number. Thus, you will not only train the count, but also check the level of attentiveness and fatigue of the baby. If the child copes with the task very quickly, complicate it by adding another dice (thus, the numbers from 2 to 12 will be present on the coloring book).


Dice can be used as a teaching aid

Workbooks

Such notebooks are already recommended for schoolchildren, since mathematics for children aged 6-7 usually does not include a large number of pictures (unlike manuals for preschoolers, which are literally full of bright drawings that attract children's attention), replacing them as much as possible with examples.


Preschool Workbook - Activity Page

If you think that your child will be able to cope with the task even without pictures that attract attention, then the notebook will be an extremely convenient option for you: it is compact and contains a large number of tasks. and also has control blocks. with the help of which you can control whether the baby has mastered a particular topic, or you need to repeat the material.

walks

When you learn the numbers, you can start the so-called "number walks". You can conduct them at any time of the year - the main thing is that during the walk you can train the skills of forward and backward counting.


Collecting and counting chestnuts on a walk

For example, if you go for a walk in the forest, invite your child to count all the birds that he meets on his way. If you like to walk in the park, then invite the kid to count all the passers-by (if the park is popular, then simplify the task: count all men, women or children).

If you like to go on picnics in the summer, then invite your child to count the fruits in the basket, the number of plates and napkins.


Counting can be taught on anything

Remember - outdoor activities are as productive as possible and leave behind only pleasant memories.

This is interesting!

A group of psychologists conducted a study with two control groups (in both cases, classes were held every day for an hour), the first of which worked out in the open air, and the second - indoors. Two months later, psychologists compared the results and found that the progress of the first group was much higher, the children answered questions smartly and behaved much more actively than their "colleagues" from the second group.

Video. Learning to count is fun

Similar content

Teaching mathematics in a playful way develops and forms the cognitive interest of the child. It is best to form an interest in this science even before teaching it at school.

This will help interesting and exciting tasks and exercises in mathematics for preschoolers.

Developing tasks can bring up a number of useful qualities in a child: perseverance, the ability to set goals and plan, follow the rules, the ability to analyze, weigh the result, and argue.

The search for ways to solve non-standard problems helps to stimulate creative and research activity.

Working with developing mathematical tasks is not at all difficult, parents are quite capable of coping with this. But in order for the child to get the maximum benefit from classes, it is necessary to adhere to the rules of their organization:

Smart tasks help children understand that every potential task can contain trickery or double entenders. To find the correct answer, you need to focus and look at the puzzle from different perspectives.

Before starting the task, it is necessary to give recommendations for its implementation:

  • Take into account the level of development and age characteristics of the child.
  • For example, the concentration of attention of preschoolers is lower than that of younger students. They can hold their attention by engaging in an activity of interest for 30-50 minutes. If suddenly the attention of the baby has faded, you do not need to force him to continue.
  • Proceed from the best interests of the child.
  • Don't overuse hints.
  • If the child cannot find a solution to the problem, you do not need to say the correct answers every time, you need to encourage him to search and show patience. To keep the child’s interest, an adult can offer a partial hint. As a rule, a preschooler cannot complete all tasks the first time, but this has positive aspects - if the child is forced to do something several times, the volitional sphere develops.
  • Do not limit yourself to exercises of one type, but use a variety of material.
  • This will help to diversify. When organizing classes, it is necessary to pay attention to the training of spatial and temporal relations, counting skills, imagination, logical thinking, etc.
  • Apply different forms of organizing classes: individual work, games in pairs or team competitions.
  • Proceed from the gradual complication of tasks.
  • Use visual aids that will attract the attention of the child: bright pictures or photographs, images of favorite fairy-tale characters.
  • Do not skimp on praise if the baby deserves it.
  • Encourage independence.


Take care of your child comprehensively. Along with the development of mathematical abilities, develop the skill of reading. Find out from our article.

If your child is a fidget, let him run around orthopedic mat. Read about its benefits in ours.

Types of tasks in mathematics

Entertaining mathematical tasks include games, riddles, comic tasks, puzzles, exercises with geometric shapes. All of them are aimed at developing speed of reaction, logical and non-standard thinking, resourcefulness, and imagination.

Since preschool age is divided into younger and older, tasks should be selected taking into account the degree of complexity. The younger preschool age covers the age period of 3-4 years, and the older one - 5-7 years. Of course, the breakdown of tasks by age is conditional, since everything depends on the pace of development of the offspring, and it is on them that one should be guided.

Math Games

Mathematical games include tasks that are based on the analysis of logical relationships and patterns.

To find the answer, you need to analyze the conditions of the problem, familiarize yourself with its content and understand what needs to be done.

The search for a solution lies in the application of mental operations: analysis, synthesis, generalization.

A game "Make a sequence of numbers". The child is given shuffled cards with numbers from 1 to 5 or 10, and he must arrange them in the correct sequence.

Exercise . The child receives a form with pictures next to which there are numbers. You need to count the objects in the picture and circle the corresponding number.

Exercise . It is necessary to draw the indicated number of points on the body of the insect.

Games for older preschoolers

A game "Compare the number". An adult invites the child to name a number, taking into account the conditions: it must be more than 5, less than 8. For each correct answer, you can give a sun or a flag.

Exercise . On a special form, a series of pictures are located on the left, and examples are on the right. It is necessary to choose a suitable example for the picture.

Math problems for ingenuity

Puzzles are recommended for older preschool children. The most common are geometric problems with counting sticks. They are called geometric, because the basis of the task is the compilation, transformation of various figures. To complete the task, it is necessary to prepare counting sticks and diagram tables with images of figures.

It is necessary to try to choose tasks with different conditions and methods of solutions in order to stimulate the search activity of the baby.

Tasks for preschoolers

A picture with the image of some object is placed in front of the child. It can be a house, a bench,. The child must, focusing on the sample, fold a similar object from the sticks. Subsequently, you can complicate the task by asking the child to fold the picture shown without having an example in front of their eyes, that is, from memory.

"Shape Transformation". The task is carried out in 2 stages. First, the adult shows the child a figure and asks to make the same one out of sticks. Instruction of the second stage: it is necessary to determine which and how many sticks should be removed to get another figure.

The child needs to analyze the presented geometric shapes, imagining what the final result will look like and choose the answer.

The child is given an image of a complex geometric figure, consisting of many details, he must count how many triangles, rectangles, squares are in the figure.

Games for recreating figurative images from geometric shapes

Games with geometric shapes to compose various objects, animals are very useful for the development of analytical thinking, sensory skills. To conduct classes, you need to stock up on a set of shapes: a circle, a triangle, a rectangle or a square.

Games for younger preschoolers

"Make a picture." The child is given a standard set of figures and simple pictures depicting various objects. Focusing on the sample, the child must add the pictures.

Games for older preschoolers:

“Make a silhouette of an animal or insect”. For the game, a circle is taken, which is divided by lines into smaller and heterogeneous parts, and cut. Then, from the received parts of the circle, the children try to make a picture, and they are not given specific instructions - they must act according to their own plan.

"Objects from cubes". Looking at the image of an object, a preschooler builds the same from cubes.

Riddles, comic tasks, entertaining questions

Riddles, comic tasks and entertaining questions are met by children with extraordinary enthusiasm. They are able to activate the mental activity of the child, develop the skills to notice the main and essential properties, separating them from the secondary ones.

Tasks belonging to this category are great for use at the beginning of a lesson to prepare a child for intellectual work, to do mental gymnastics.

Comic tasks can create a favorable emotional background, cheer up. As a rest and switch attention tasks can be used in the middle of the lesson.

Mathematical riddles are intricate questions or descriptions of some object, phenomenon that the child must guess. Since the riddles are mathematical, they will definitely contain numbers, it will be necessary to perform computational actions.

Comic tasks are game tasks with mathematical meaning, for the solution of which you need to use ingenuity and resourcefulness, and in some cases have a sense of humor. According to them, it is recommended to engage from senior preschool age. The content of the tasks is unusual, since, along with the main features, they include secondary ones. It turns out that the search for an answer is, as it were, masked by other conditions.

Examples of joke tasks

  • 2 cars traveled 5 km. How many miles did each car drive?
  • If a stork stands on one leg, then it weighs 4 kg. How much will a stork weigh when it stands on 2 legs?
  • What is heavier: 1 kg of concrete or 1 kg of cotton wool?

Interesting questions

They are short questions with an urge to count something.

  • How many ears do three mice have?
  • You, yes I, yes we are with you. How many of us?

Games, mathematical entertainment

Games and mathematical entertainment are a great way to diversify the forms of work. If you choose a game with two participants, then the child's interest will increase due to the spirit of competition.

Games for younger preschoolers

"Finish the drawing." The child is given a sheet of paper with geometric figures depicted on it. The task is to draw a small drawing based on the desired geometric figure. For example, from a circle you can draw a snowman or a clock, from a square - a TV, a briefcase.

An example of a game for older preschoolers

"Houses". For this game you will need 20 images of houses with 10 windows. By the presence of curtains on the windows, one can judge the apartments. The essence of the game is to compare the houses with each other: how many residents need to move in so that all the apartments are completely occupied, how many residents need to be removed from the house so that the same number of apartments are occupied in it as in the fifth house.

Universal Games

The older the child, the more numbers can be.

Books on mathematics for preschoolers

  1. A. Boloshistaya "Mathematics around you." The workbook includes tasks for the formation of mathematical thinking. Designed for children 4-5 years old.
  2. K.V. Shevelev "Mathematics for preschoolers". The workbook consists of developmental tasks addressed to children 6-7 years old. Classes are designed to prepare for school.
  3. L.G. Peterson "One is a step, two is a step". A series of manuals is designed to form a mathematical way of thinking, imagination, and the ability to analyze.
  4. M. Druzhinina "The Big Book of Leisure". The book includes puzzles, riddles, puzzles. Tasks are designed to develop analytical thinking, broaden horizons, and activate the imagination.
  5. O. Zhukova "Mathematics for preschoolers." The coloring book contains game exercises that will teach the child to count up to 10, help develop perception and logic.

Topics: counting objects up to 10 and 20, subtracting with pictures, comparing objects by height and weight, comparing geometric shapes, adding numbers up to 5 and up to 10.

Additional materials on the topic
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Developing and educational games in the online store "Integral":

What should a child know at 6 years old

1. Direct and backward counting from 1 to 10. It is desirable that he be able to count up to 20 and beyond, this will greatly facilitate the learning process.
2. Solve the simplest problems in one step using arithmetic signs.
3. Have an idea about such concepts as longer - shorter, higher - lower, wide - narrow, more - less.
4. Know the basic geometric shapes: square, rectangle, circle, triangle, oval, rhombus, as well as three-dimensional bodies: ball, cube, cylinder.
5. Divide a circle or square in half or into 4 parts.

It is desirable that the child knows:
1. Your last name, first name and patronymic.
2. Names of parents and their professions.
3. Your home address and preferably the phone numbers of your parents.
4. Days of the week and the name of the current month.

Test for counting up to 10

Continue the number line.
5, ___, ___, ___, ___.

Complete the number line.
___, ___, ___, ___, 7.


Four ______
Five______
One______
Eight______

What number is missing from the number line?

1, 2, ___, 4, 5, 6, 7.

9, 8, 7, 6, ___, 4, 3, 2, 1

Test for counting up to 20

What number is missing?

Write the number that is pronounced:
Fifteen ______
Eighteen______

How many circles are in the picture?


How many squares are in the picture?

Subtraction Test

Solve examples.

Comparison test

Which is lighter: a teddy bear or a live dog?

What is heavier: a brick or a live cow?

Which watering can is larger, right or left?

Which tower is lower, right or left?

Test for geometric shapes

Which figure has more sides?

Which figure has fewer sides?

Which shape has the fewest angles?

Show the ball in the picture.

Is this figure symmetrical?

Page 1.
0 + 1 = __ 0 - 0 = __ 2 + 0 = __

3 - 1 = __ 1 + 4 = __ 3 - 2 = __

4 + 0 = __ 2 - 1 = __ 2 + 3 = __

4 - 4 = __ 0 + 4 = __ 0 - 0 = __

4 + 0 = __ 3 - 1 = __ 3 + 1 = __

2 - 0 = __ 5 + 0 = __ 4 - 1 = __

4 + 0 = __ 4 - 0 = __ 5 + 0 = __

0 - 0 = __ 2 + 2 = __ 3 - 3 = __

1 + 3 = __ 3 - 3 = __ 3 + 2 = __

2 - 1 = __ 3 + 0 = __ 1 - 1 = __

0 + 4 = __ 5 - 0 = __ 1 + 0 = __

TESTS FOR ADDITION AND SUBTRACTION.

Page 2.

Date: __________________ Name: _______________________________ Grade: __________

Add or subtract two single digit numbers. Numbers up to 5
4 + 1 = __ 3 - 0 = __ 1 + 4 = __

0 - 0 = __ 0 + 2 = __ 3 - 3 = __

4 + 0 = __ 5 - 5 = __ 1 + 0 = __

3 - 3 = __ 4 + 0 = __ 2 - 1 = __

0 + 4 = __ 0 - 0 = __ 2 + 3 = __

3 - 3 = __ 1 + 3 = __ 1 - 0 = __

3 + 2 = __ 5 - 2 = __ 2 + 0 = __

3 - 0 = __ 2 + 1 = __ 0 - 0 = __

4 + 0 = __ 4 - 1 = __ 5 + 0 = __

2 - 2 = __ 5 + 0 = __ 3 - 3 = __

3 + 2 = __ 4 - 0 = __ 5 + 0 = __

TESTS FOR ADDITION AND SUBTRACTION.

Page 1.

Date: __________________ Name: _______________________________ Grade: __________

7 + 3 = __ 10 - 6 = __ 6 + 4 = __

2 - 0 = __ 6 + 1 = __ 2 - 1 = __

5 + 5 = __ 8 - 8 = __ 8 + 2 = __

6 - 1 = __ 5 + 3 = __ 2 - 0 = __

6 + 3 = __ 8 - 6 = __ 1 + 3 = __

4 - 3 = __ 10 + 0 = __ 5 - 2 = __

4 + 2 = __ 0 - 0 = __ 10 + 0 = __

8 - 8 = __ 8 + 2 = __ 2 - 0 = __

6 + 4 = __ 5 - 3 = __ 7 + 3 = __

4 - 1 = __ 7 + 0 = __ 5 - 0 = __

2 + 0 = __ 5 - 4 = __ 0 + 4 = __

TESTS FOR ADDITION AND SUBTRACTION.

Page 2.

Date: __________________ Name: _______________________________ Grade: __________

Add or subtract two single digit numbers. Numbers up to 10
0 + 4 = __ 6 - 3 = __ 2 + 7 = __

10 - 6 = __ 9 + 0 = __ 7 - 2 = __

6 + 4 = __ 9 - 7 = __ 8 + 2 = __

4 - 1 = __ 5 + 0 = __ 4 - 3 = __

9 + 1 = __ 5 - 1 = __ 7 + 1 = __

1 - 1 = __ 9 + 0 = __ 1 - 0 = __

1 + 7 = __ 9 - 6 = __ 3 + 4 = __

2 - 0 = __ 9 + 0 = __ 10 - 4 = __

8 + 1 = __ 8 - 0 = __ 2 + 8 = __

7 - 2 = __ 1 + 8 = __ 2 - 0 = __

10 + 0 = __ 4 - 0 = __ 9 + 1 = __

Classes for children 5-6 years old for the development of logical thinking, mathematical abilities, writing. It is also the best time to learn to read.

Working with five year olds is a pleasure. And if until the age of 5 the child still resisted preparing for school, then from this age he dreams of growing up as soon as possible and becoming a student. Now new knowledge and skills have been discovered, and the maturity of mental functions allows one to concentrate on a task for quite a long time.

In developing classes, children aged 5-6 years old master writing, arithmetic operations, learn to recognize all the sounds in words. This is also the best time to learn to read, preschoolers are interested in learning letters and quickly grasp the principle of their merging into syllables.

However, the entire learning process should still be built on gaming activities, and the classes themselves should be distinguished by the variety of means used. Otherwise, "tedious" lessons will only bring irritation, and the baby will lose interest.

Tasks for classes with children 5-6 years old

By the age of 5-6, children already accumulate a fairly large amount of knowledge and skills. Along with the increased intellectual capabilities, tasks become more complicated.

Math exercises and assignments

By this age, the child most likely already counts to 10, knows the main figures and knows how to compare them.

Now the future first grader needs to learn how to operate with numbers up to 10 (subtract and add, comprehend the composition of the top ten), solve puzzles and tasks in one step, compare sets (greater than, equal to, less than). In addition, before school, you need to consolidate the ability to navigate in space, learn the direct / reverse order of the number series. Senior preschoolers divide a circle or square into several equal parts, learn to write numbers and arithmetic signs.

Try to involve the baby in learning unobtrusively. For example, let him pour 5 tablespoons of sugar into the pie according to the recipe and break 3 eggs. Or ask to count the money for travel, change, share the pie among family members, etc.

Walking board games will also help, in which the number of moves depends on the value of the rolled dice. The best of them are described in the article "".

Logic tasks

When preparing for school, parents need to understand that their main task is not to count and write beautifully. This is what they are taught in school. The main goal should be the development of mental processes. With a well-developed memory, attention and thinking, a small student will always be successful in learning. In addition, the development of these very intellectual abilities is most effective while the child is small.

As for logical thinking, in the sixth year, kids master the following skills:

  • divide objects into groups, naming some sign;
  • compose a story from a picture or come up with a story from the beginning;
  • find an extra item;
  • discover a pattern and continue it.

Logic tasks for children 5 years old can be graphic (find similar, color according to the model, go through the maze, draw, solve the rebus), speech (tasks for ingenuity, riddles), puzzles. All this can be found in printed educational aids and programs.

Feature articles:

Some examples of logical tasks.

Frog Zhu perched on a pink leaf. The EA frog is not on pink, nor is it on blue. Position the frogs correctly.

Or, a problem about patterns. You need to consider what might be missing. (In this case, living and non-living objects alternate).

Checking spatial thinking. Which of the napkins is not pinned?

The ability to memorize in children, as in adults, is different. One thing is for sure, memory can be trained. Therefore, when organizing games for the development of memory, start small - first offer to remember three objects, then more. As a rule, at the age of 5 years, a baby can reproduce 5-6 visual images, 4-5 words that are not related in meaning, 3-4 numbers, repeat 5-6 actions after an adult.

Tasks for memorizing letters

In school, literacy is taught from sound to letter. Therefore, before you start learning the alphabet, you need to make sure that the baby distinguishes the sounds in the word well, can build the sound scheme of the word.

In order for the baby to quickly remember the graphic image of the letter, you can sculpt it, figure out what it looks like, hang cards with letters around the room.

If there are magnetic or wooden letters, they can be put in a bag and removed by touch. You can also make "embossed" letters using cereals, rhinestones and beads.

If the child has already learned the letters and knows how to add syllables, you can play with words.

For example, read the word by the first letters.

Or think about something like this.

Diversify the home lesson of literacy and puzzles with letters.

We develop speech

By the age of 5, a preschooler should already clearly state not only his first and last name, but also his address, phone number, and know the data of his parents. In general, the speech of a 5-year-old child is no different from an adult. A preschooler correctly uses grammatical norms, can conduct a conversation, build reasoning, ask questions.

The formation of the sound side of speech is carried out through tongue twisters and articulatory gymnastics. Games to determine the positions of sounds in a word, folding words from sounds will also help.

For example, a parent pronounces words, and a child, having heard a pre-arranged sound, “catches” them with claps or jumps.

Thematic material:

In another exercise, the parent throws a ball and calls out a syllable. The child needs to come up with a word for this syllable and throw the ball back.

Development of children 5-6 years old online

A computer will also help to develop and learn at home. Today, there are many educational websites and online platforms that offer a variety of puzzles and play exercises for children for free.

Tasks for them are usually differentiated into categories by age and topics - logic, literacy, mathematical material, broadening one's horizons, etc. Therefore, it is not difficult to choose the necessary exercises.

For example, in the logic section for 5 years, you can include such a problem with Euler circles.

If the answer is correct (in this example, “the sun”), the announcer will definitely praise the child. In case of an error, you can find out the correct answer and explanation. (The lantern is not warm, the chicken is dim).

Using educational online exercises for children aged 5-6, dose the time spent at the computer. If it is noticeable that the student's attention is scattered or the decision is delayed, change the type of activity.

5-year-olds take their failures very deeply. Therefore, if something does not work out, cheer, offer to cope with the difficulties together! So the child will not lose faith in himself and will be open to new knowledge!