We form elementary mathematical concepts in preschoolers of different ages. We form elementary mathematical concepts in preschoolers of different ages Formation of elementary mathematical concepts 3 4 years

Formation of elementary mathematical concepts in children 3-4 years old.

Lesson 1
Lesson notes
Topic: Alone. A lot of.
Goal: To learn to find many similar objects in the environment and isolate one object from it.

Objectives: To introduce the concepts of “one”, “many”. Work on the ability to coordinate the numeral “one” with nouns in gender and case. Get acquainted with the concept of “right” and “left” hand. Form spatial concepts (the concepts of “in front of, behind, above”).

Materials: a basket with balls of different colors according to the number of children + 1 ball for the teacher.
During the classes.
1. Children sit on the carpet and play with their fingers to the rhyme “Let's count our fingers.”
1, 2, 3, 4, 5 we will count fingers.

(we bend our fingers)

Here is a fist, and here is a palm.

(Show fist and palm)

A cat sits on your palm and sneaks away slowly,

(The other palm moves along the palm, fingering it)

Maybe a mouse lives there?

The cat is guarding the mouse. Meow!

(Like a cat scratching her palm with her fingers, and quickly hide her hands from the cat at the last word)

2. The teacher has a basket with balls of different colors according to the number of children +1 to the teacher.

What's in my basket? (Balls)

How many balls do I have in the basket? (A lot of)

I'll take one ball. I have one red ball.

Sasha, take the ball. How many balls did you take? What kind of ball do you have? You have one green ball. Repeat. (Hand out all the balls)

How many balls were in the basket? A lot of.

Now how much is left? No one.

There were a lot of balls, we took one at a time, and not a single ball was left.

3. Physical exercise.

Take the ball in your right hand. (The teacher stands facing the children and shows all movements in a mirror image) Transfer the ball to your left hand. Raise the ball above your head. Hide it behind your back. Hold the ball in front of you. Jumping in place with a ball in your hands to the poem:

Girls and boys jumped up and down like balls.

We jumped, got tired, stood up on our toes,

They slowly spun around and sank onto the mat.

4. Let's collect the balls in a basket.

How many balls are there in the basket? (No one)

I will put 1 red ball in the basket.

Sasha, put the ball in the basket. How many balls did you put in?

(Collect all the balls in a basket)

How many balls are there in the basket? (A lot of)

We put one at a time, and there were a lot of them.

5. Game "Peozd".
We were sitting, we were tired,

And now we stand up together.

They stomped their feet,

Hands patted.

We'll assemble a locomotive,

to take us on a visit.

Children move in a group one after another to the song “The locomotive is moving, the locomotive is moving,” with their hands on the shoulders of the person in front. The locomotive “drives up” to a corner of nature.

What items do we have a lot of? Which item is one? (Many cones, one squirrel) Take the one object and place it on the table.

“Drive up” to the construction corner. - What kinds of objects are there a lot? Which one? (Many blue cubes, one red.) Take 1 cube from those that are many and place it on the table.

“Drive up” to the doll corner. There are toys at the table. - How many bears? (One) How many dogs? (One) How many dolls? (One) How many cats? (One) How many toys are there in total? (A lot) Take 1 toy and put it on the table. etc.

“Drive up” to the table. - What's on the table? What are they for? - These are toys, needed to play. How many toys are on the table? (A lot of)

What else can you say “many” or “one” about?
6. Lesson summary.
Which game did you like best? You and I counted which items were many and which were one at a time.

^ Games on the topic of the lesson:
1. With ribbons (movable):
The teacher hands out ribbons to the children. - How many ribbons did I give you and what color? (One red ribbon) Pick up the red ribbons. - How many red ribbons? (Lots of) Raise the blue ribbons. - How many blue ribbons? (A lot) We sat down and hid the ribbons. Ribbons, which I will name, will dance to the music.

The teacher plays a musical fragment, after which the children crouch and hide the ribbons.

And to the music now,

blue (red, green, yellow) ribbons began to dance.
2. Flashlights (movable):
It is carried out similarly to the game with ribbons. - How many flashlights do you have and what color? (One, red) How many flashlights are there? How many red, blue?.. Children raise lanterns of the desired color and spin to the music.

The red sun has set.

It became dark outside.

You guys help us

Light the blue lanterns.
It's morning again.

The lights all went out.

At the end of the words, the children hide the flashlights.
3. Pilots (mobile):
There are paper airplanes of different colors on the chairs. - Take an airplane each. How many airplanes do you have? How many airplanes are there in total? Yellow (blue, red) planes began to land. - How many planes are left to fly? (No one)

Worksheet lesson 1
Count and color. Who is there in the picture and who is alone?

Lesson 2
Lesson notes
Topic: Alone. A lot of. Grouping items by size.
Goal: Learn to compare objects by size (by eye).

Objectives: To consolidate the ability to find and make a group of homogeneous objects and select one of them in size and perform an action on them. Clarify knowledge about the concepts “one”, “many”. Teach children to navigate by stripes of different colors.

Materials: Vegetables of large and small sizes, 2 baskets, strips of green and yellow cardboard for each child, red mugs, 5 pieces large and small for each child.

Demonstration material: stripes of 2 colors and red circles of 2 sizes.
During the classes.
1. Children sit on the carpet and play with their fingers to the rhyme “Vegetables.”
Lariska has 2 radishes,

Antoshka has 2 potatoes.

Tomboy Earring has 2 green cucumbers.

And Vovka has 2 carrots,

Moreover, Petka has 2 tailed radishes.

(we bend our fingers for each name)

2.Game “Gather vegetables in baskets”
- Look what's on the table? Name it in one word. Vegetables. - Are the vegetables the same? Big and small. - Let's reap the harvest. We will collect large vegetables in a large basket, and... small ones in a small basket. - Sasha, take a vegetable. What is the name of this vegetable? What size is it? Which basket will you put it in? What size vegetables are in the large basket? In a small basket?

3. Physical exercise. “We’ll go to the garden.”

We'll go to the garden

We'll reap the harvest.

We'll dig up potatoes

We'll drag carrots

We'll cut a head of cabbage

Round, round, very tasty.

Let's pick a little sorrel

And let's go back along the path.

(perform movements according to the text of the poem)

What vegetables did you collect?

4.Riddle.
- Guess the riddle, find the answer in the basket.
Like in our garden

Riddles have grown

Juicy and large,

They're so round.

In summer they turn green,

By autumn they turn red.

Tomatoes.

5.Game "Let's arrange the vegetables in the beds."
Each child has 2 stripes - beds. Let's put strips - beds in front of us. First, take the green stripe and place it horizontally. Like this. Show. Now take the yellow stripe and put it under the green one. Like this. Show.
1) We will place one large tomato on the green stripe of the bed. With your left hand, hold the strip by the corner, like this, and with your right hand take a large tomato. Place it on the “bed” on the left, next to your fingers.

We will put a lot of small tomatoes on the yellow stripe. We hold the yellow stripe with our left hand. Take one small tomato and place it on the left, next to your fingers. Now take one more and put it next to it. Place a lot of small tomatoes, laying them out from left to right.

With your left hand we hold the strip tightly and do not let go, and with our right hand we lay it out. - How many tomatoes are there in the green bed? One. - How many small tomatoes are there in the yellow bed? A lot of.

Let's collect all the vegetables in a plate.
2) In another garden, tomatoes grew differently. Place a lot of large tomatoes on the top, green stripe, and one small one on the bottom, yellow stripe.

6. Lesson summary.
Today we learned to find large and small objects and put them on shelves from left to right. - Which game did you like best?
^ Games on the topic of the lesson:
1. “Who is more/less? Name it" (ball game):

The teacher throws the ball, the child names who is more/less and returns the ball back. -Who is bigger, the elephant or the butterfly? (dog or mouse, pencil or book? Etc.)
2. “Who is more/less? Cover with a card" (board game):
The child has a card with pictures of various objects. -Which item is larger? Cover it with a red square.
See examples of cards here.

Cards can be covered with squares cut from colored transparent corner folders, since after closing the pictures, they shine through such a plate and you can see whether the task was completed correctly.
3. “Big Legs” (outdoor game):
Big feet walking down the road

Top, top, top, top.

(Children walk with big steps)

Little feet ran along the path

Top-top-top-top-top-top.

Top-top-top-top-top-top.

(Children stomp in small steps)
4. “Put it in Order” (board game):
Children have a card with empty windows and 5 images of one object of different sizes. (Look here)

Arrange the cards in ascending (or descending) order. Help with questions: - Which is the biggest/smallest? Place it in the first window on the left. Like this. Show. - Which of the remaining pictures is the largest/smallest? Let's put it next to the first one. Etc.

^ OUTDOOR GAMES CAN BE USED AS PHYSICAL ACTIVITIES DURING CLASSES.

Mathematics 3-4 years
Worksheet lesson 2

2. Put large toys in a large box, small ones in a small one. Draw the lines. Color it.
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3. Color the ball that lies in front of the cube red,
behind the cube - blue, near the cube - yellow.

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Lesson 4


Lesson notes
Topic: Alone. Number and figure one.
Goal: Learn to select one item from a group. Introduce number and number 1.

Objectives: Learn to count one object from a group at a time, learn to navigate on two stripes. Get acquainted with the concepts of “equally”, “same amount”. Repeat the concepts of “top” and “bottom” strip. Learn to form number 1 from two stripes. Length comparison "by eye".
Materials: clothespins, a kitten, pictures of animals from 1 to 5, pictures of balls, handouts: pictures of a dog and a cat for each, strips for laying out.
During the classes.
1. Finger gymnastics. Kitty.
The kitten, the baby, bites painfully.

He thinks it's not a finger, but a mouse.

If you bite, I'll tell you shoo!

(with a clothespin, quietly try to grab the tips of your fingers or simply open and close the clothespin)

2. Learn to highlight one object.
- It’s boring for a kitten to play alone. Let's find those who are alone and introduce them to the kitten so that they can play together. There are pictures on the board with 1 to 5 animals on each. Children choose those pictures that show 1 animal and attach them next to the kitten.
3.Work on the board.
There are 2 stripes on the board. The teacher attaches 1 red circle to the top strip. - How many circles are on the top shelf? One.

The teacher places 1 green circle on the bottom shelf. - How many circles are on the bottom shelf? One. The red circle has a pair. One red and one green circle. They say that the circles are equal or the same number. The teacher adds 1 red circle. And now the circles are equal?

No, 1 red circle does not have a pair. There are more red circles. How to make it equal again? (2 ways)
4. Physical exercise. Let's play hopscotch
Let's play hopscotch

Jump on one leg.

And now a little more

Let's jump on the other leg.

(Jumping on one leg.)
5.Laying out on strips.
Take the strips, place them horizontally one below the other, like this. Show the top strip, the bottom strip. Hold the strip with your left hand. With the right one, place on the top strip as many dogs as I have circles. 1. How many dogs did you put in? Why? Place as many cats on the bottom strip as you have dogs. How many cats did you put in? Why?
6.Introduction to the number 1.
- People came up with a special icon to indicate that you have one item. This icon is called a number. - This is the number “One”. To make the number 1 you need to take 2 strips. Should the strips be the same length? Take a long strip, lay it vertically, like this. Take a short strip and place it diagonally from top to bottom. Like this. The result was number 1. The breeze blew. Blow on the number. The number is broken. Collect the number again.
7. Lesson summary.
- What number did you meet?

Games on the topic of the lesson:
1. Let’s get into pairs (movable):
Children stand in 2 rows opposite each other. One child is left without a partner. Which row has more children? (Boys or girls?) Why? Everyone has a pair, but Lena doesn't have a pair. means there are more boys than girls. Children run away to the music and, when the music ends, stand in 2 rows again. Now who has more girls or boys? The number of children has not changed. Which row has more children? (boys or girls?), etc.

Children have cards with images of various objects (up to 5).
Place the same number of circles (squares, etc.) as there are objects on the card.

^ OUTDOOR GAMES CAN BE USED AS PHYSICAL ACTIVITIES DURING CLASSES

Lesson 4 worksheet


Lesson 5
Lesson notes
Topic: Number and figure one. Count to two.
Goal: Learn to count to two.
Objectives: Learn to count one item from a group at a time, learn to lay out counting material on a strip from left to right. Learn to lay out as many items as on the card. Reinforce the concepts of “equally”, “same amount”. Consolidate knowledge of number 1. Learn to form number 1 from two stripes.

Materials: Number one, mushrooms of different types one at a time, mushrooms for counting 2 pieces, squirrels 2, pictures depicting from 1 to 5 objects.

Handouts: cards with 2 hedgehogs, 3 mushrooms, strips for the game “Collect number 1”.
During the classes.
1. Finger gymnastics. Fingers in the forest.
One two three four five.

(clench and unclench your fists)

The fingers went out for a walk.

(“walking” on the table)

This finger found a mushroom.

I began to clean this finger.

This one cut.

Well, this one just looked!

(extend fingers)

2.Number and figure one.
- What is shown on the board? Mushrooms. - How many mushrooms? A lot of. - How many fly agarics? Boletuses? Boletus mushrooms? Chanterelles? White? (one by one)

Here's number one.

Here is one, or one,

Very thin, like a knitting needle.
3. Firecrackers.
- Now I will show you pictures, if there is only 1 object on the card, we will clap our hands, and if there is more, then we will hide our hands behind our backs
4.Fixing the image of the number one.
- Let's make up the number of one of the stripes. Are the stripes the same? One is long, the other is short. Make up the number one.
5. Physical exercise.
We'll go to the woods, they're walking

We'll find the fungus.

In a smart hat, raise your arms to your sides

Light chocolate. and connect your fingers above your head

Don't hide the fungus. Wag your finger.

Under the leaf your side.

The kids need you. Circular movements of the palm.

In the evening for dinner. on the stomach.
6. Count to two.
There is a squirrel on the board. - How many squirrels? One. - Let's treat her to a mushroom. How many mushrooms? One. We have as many mushrooms as squirrels.

Another squirrel came to us. - How many squirrels are there? Two. Are there now as many mushrooms as squirrels or not? How can you get as many mushrooms as squirrels? Add. Now there are equal numbers of squirrels and mushrooms? How many mushrooms are there now? Two and two are the same, equally.
7.Working with individual cards.
Children have cards with 2 hedgehogs on them. - Who is drawn? - How many hedgehogs? Let's put as many mushrooms as there are hedgehogs. - How to do it?

Show your right hand, hide your left hand behind your back. We will hold the card with our left hand, like this, and with our right hand we will lay out the mushrooms from left to right, like this. - How many mushrooms did you put in?
8. Lesson summary.
- What number did you remember collecting today? One.

Who did we treat with mushrooms? Squirrels and hedgehogs. - How many squirrels were there? Hedgehogs?

Which game did you like the most?
Games on the topic of the lesson:
1. "Domino" (tabletop)
2. "Find a pair" (board)
Children have cards with 1 - 2 objects on each. You need to find 2 identical cards or 2 with the same number of objects.
3. “Collect the number” (tabletop)
From the parts, assemble the number 1.
4. “Find out the number by touch” (desktop)
Numbers cut out of velvet or sandpaper are glued to a sheet of cardboard. Children must find the number one by touch.
5. “Let’s collect mushrooms” (movable)
Mushrooms have “grown” in the group: there are cards with pictures of mushrooms in different places. - What mushrooms do you know? Now we will collect mushrooms. Everyone will take only one mushroom, which I will name.

One, two, three, collect fly agarics. - How many fly agarics do you have? One. Let's put it in the basket. - How many fly agaric mushrooms did you get? A lot of.

One, two, three, collect the chanterelles.

One, two, three, collect the porcini mushrooms.

One, two, three, collect the boletus.
6. "Drying mushrooms." (desktop)
- How to preserve mushrooms for the winter? Dry, salt. We will dry and collect only edible mushrooms on a string.

Children have cards with mushrooms and a colored cord. Children must collect all the cards on a string, leaving the fly agaric on the table.

Lesson 6
Lesson notes

Topic: Counting to two. Number 2.
Goal: Introduce the number 2. Strengthen the count to two.

Objectives: Learn to lay out counting material on a strip from left to right. Learn to compare collections of objects by making pairs.

Reinforce the concepts of “equally”, “same amount”. Strengthen the ability to identify the right and left hand. Learn to alternate objects.

Materials: Boxes with numbers one, two. Images of kittens, puppies, 4 fish.

Handout: Bows for display and cards with two kittens. Bows for the game “Bows” for each child are red and blue.
1. Riddle about a kitten.

The muzzle is mustachioed,

Striped fur coat,

Washing frequently

But I don’t know about water.
Attach 1 kitten to the board.

1 more kitten came running. How many kittens are there now? Two.

2. Introducing the number 2.

Grandmother sent the kittens a treat. The teacher has 2 boxes. One has the number 1 on it, the other has 2. There is 1 fish in one box, two in the other. One kitten is crying. Why? He is offended that he has 1 fish.

How can I make it equal? Add 1 fish. Equally now? Let's count 2 for one kitten, 2 for the other. 2 and 2 – equally.

Adults came up with special icons - numbers. You can look at them and find out how many fish are in the box. You already know this number. What is it called? And this is the number two.

3. Finger gymnastics.

Show me your palm, I’ll tell you about the cat.

One two three four five.

Here is a fist, and here is a palm.

A cat sat on the path

And sneaks away slowly

Maybe a mouse lives there?

The cat is guarding the mouse. Meow!

4. Reinforcing the concept of “the same amount.”

Look at the picture. How many kittens? Kittens love to play. Place as many bows as kittens. How many bows did you put?

5. Physical exercise.

This handle is right, this handle is left.

I press the ball, I do exercises.

The right will be strong, the left will be strong,

My hands will be strong and skillful.

6. Game "Bows".

Take the red bow in your right hand and the blue one in your left. Lift the bows up, hide them behind your back, and stretch them forward.

How many bows are in your right hand? One. How much is in your left hand? One. Take the bows in one hand. How many bows are there in total? One and one is two. How many bows do you have? Two. Hide 1 bow. How many bows are left? One. Show the bows again. How many bows do you have?

7. Alternation of objects.

Kittens are friends with puppies. They are still small and do not understand why adult cats and dogs quarrel. They love to dance in circles. Let's make a round dance. The teacher lays out first the kitten, then the puppy, then the kitten again, then the puppy, the children continue in the given order.

Lesson summary:.
What new number did you find out? What games did you play? Which game did you like the most?

Lesson 7
Lesson notes

Topic: Counting to two. Circle.
Purpose: To introduce the geometric figure - the circle.

Materials: 2 squirrels, 2 bunnies for a typesetting canvas, a circle for getting to know the shape, circles for drawing round objects.

Handout: cards with cars, 3-5 circles for each person for laying out, large circles for studying the shape.
1. Finger gymnastics. Thumb-boy, where have you been?

Boy - finger, where have you been?

I wandered through the forest for a long time.

I met a bear, a wolf,

a bunny, a hedgehog with needles,

met a squirrel, a fox,

met a moose and a titmouse,

He gave gifts to everyone,

everyone thanked me.

(we bend our fingers when listing)

Who did the finger meet in the forest? What are all these animals called? Wild.
2. Comparison of groups of objects.

Guess the riddle.

Who deftly jumps along the branches and flies up into the oak trees?

Who hides nuts in a hollow and dries mushrooms for the winter? Squirrel.

And here are the squirrels. How fluffy. How many squirrels came to visit us? 2

And who is this?

Gray in summer and white in winter. Bunny.

How many bunnies? Two. Are our bunnies and squirrels the same? Every squirrel has a pair. That means they are equal. Two and two are the same, there are as many squirrels as bunnies.

Close your eyes. The teacher removes one squirrel. Open your eyes. What changed? And now there are equal numbers of squirrels and bunnies? Who is there more? How to make it equal again? One way is to add the missing squirrel. Two and two are equal again.

Close your eyes again. The teacher cleans up the bunny. What changed? Are there now equal numbers of squirrels and bunnies? Who is there more? How to make it equal again? The bunny ran into the forest and will not return. We need to remove one squirrel. One and one - equally, equally.
3. Reinforcing the concept of “the same amount.”

Laying out. What is shown on the card? Cars. How many cars? Two. Put as many wheels as cars. How many wheels did you put in? Why?
4.Introduction to the circle.

Getting to know the circle.

What shape does the wheel resemble? To the circle. So a circle came to visit us.

Hello guys. You recognized me? I am a circle. I really like to roll along the path. I have no corners, so I can quickly roll to where I want.

Take one circle at a time. Try to ride it. Are they rolling in circles? Show your left hand - this handle is left, press the circle with your left hand to the table. Draw a circle around the edge with the fingers of your right hand. Did you find any corners? There is none of them. This is a circle.
5. Physical exercise. Bubble.

Blow up the bubble

swell up big

don't burst out.
6. Dreamers.

What objects does a circle resemble?

Now I will draw a circle to the object, and you tell me what happened. The teacher completes the circles, and the children name, for example, a clock, a sun, a balloon, etc.

Now you take a card with a circle and draw it yourself to some object.
7. Lesson summary.
What games did you play? Which game did you like the most?
^ Games on the topic of the lesson:
1. Rubber band (movable):
Children stand in a circle and pick up an elastic band, the ends of which are sewn together. Task: use an elastic band to show a large circle, a small one. You can depict any geometric figure.
2. Put the same amount (tabletop):
Children have cards with images of various objects (up to 5). Assignment: put the same number of circles (squares, etc.) as there are objects on the card.
3. Geometric Lotto. (desktop)
There is a circle on the large card. Task: find all the cards with round-shaped objects and put them in the “windows”.
4. Geometric mosaic. (desktop)
Children have cards with a picture of some object made from geometric shapes. Assignment: choose from a set of geometric shapes the ones needed to create a given picture and add them together.

Option 1: put geometric shapes on the card,

Option 2: Post the same image as on the card yourself.

Option 3: remember and post the image of the object from memory.

Lesson 8
Lesson notes

Topic: Counting to two. Ball.
Purpose: To introduce the geometric body - the ball.

Materials: pictures depicting 1 and 2 objects, houses with numbers 1 and 2, objects shaped like a circle and a ball, a tray, a ball and a circle.

Handout: cards with 1 and 2 objects to play for each person.
1. Finger gymnastics.

(clench and unclench your fingers)

You and I made a snowball.

(“making” a snowball)

Round, strong, very smooth,

(show)

But not at all sweet.

(show palms)

Once - we'll throw, 2 we'll catch,

3 will be dropped and broken.
2. Numbers one and two.


This number is like a spoke,

A very thin girl. (1)
The figure arches his neck,

The tail is dragging behind her. (2)
3. Numbers one and two.

Guess the riddle, find out the number.
This number is like a spoke,

A very thin girl. (1)
The figure arches his neck,

The tail is dragging behind her. (2)
4.Count to two

There are 2 houses on the board. On one there is the number 1, on the other - 2. The children have cards with objects of 1 and 2. Place the animals in your house. If there is 1 item on the card, then go to the house with the number 1, and if there is 2, then to the house with the number 2.
5. Physical exercise.

We were sitting, we were tired, and now we stood up together.

They stamped their feet and clapped their hands.

And now all the boys were bouncing like balls.

And now all the girls were jumping up and down like squirrels.

And now we have circled and landed in place.
6.Introduction to the ball.

Hello guys, do you recognize me? Circle. I have a friend. Here he is. Do you know what his name is? Ball. My friend and I are very similar. Who is attentive, tell me how we are similar? How are we different?

The teacher has a tray with objects. If the object has the shape of a ball, put it on a plate near the ball, and if the shape is more like a circle, then next to the circle.
7. Lesson summary.
What numbers do you remember? What geometric body did you meet? What games did you play? Which game did you like the most?


Lesson 9
Lesson notes

Topic: Counting to two. Long short.
Purpose: To introduce the concepts of “long” and “short”. Learn to compare by length using the application method (overlay)

Tasks: To consolidate counting to two, the ability to correlate numbers 1 and 2 with quantity, to consolidate concepts on the right and left.

Materials: coins with numbers 1 and 2, wallet, small toys.

Handouts: track strips for comparing lengths by overlay, cards with houses, cards with the image of 2 cars with numbers 1 and 2, cards with toys,
1. Finger gymnastics.

(alternately connect the fingertips, according to the text, simultaneously on both hands)

Visiting the big toe

came straight to the house

Index and middle

nameless and last

The little finger itself is a baby

knocked on the threshold.

Together fingers - friends -

They can't live without each other!
2.Lay paths.

Children have stripes-paths and cards with houses. - Are the paths the same? - What is the difference? -Which one is longer? Place one strip on top of the other so that one end matches. Let's put a long path between the red and blue houses, and a short path between the yellow and green houses. -Where is the path longer at the top or at the bottom? Place the car on a long path. - What color is the house to the right of it? Left? Place the car on a short path. - What color is the house to the right of it? Left?
3. Physical exercise.

On the street of our car, car,

Small cars, big cars.

Trucks hurry, cars snort,

They are in a hurry, rushing, as if they were alive.

Hey cars, full speed ahead.

I am an exemplary pedestrian.

I don't like to rush

I'll make way for you.
4. Place passengers in cars.

The children have cards with cars. On one machine there is written the number 1, on the other - 2 and cards with the image of 1 and 2 toys. - We will put one toy in the machine with the number 1, and two - with the number 2. Find the machine with the number 1. Put one toy in this machine.
5.Shop.

The teacher has coins with numbers 1 and 2 in his wallet. Children take turns taking coins out of their wallet and “buying” the number of toys indicated by the number.
6. Lesson summary.

What numbers did you remember? - What games did you play? - How did you compare the tracks? - Which game did you like best?
^ Games on the topic of the lesson:
1. Lay it out by length.
Children have 4 sticks of different lengths. Let's break it down by length.

Find the longest log and place it horizontally, now find the longest remaining log and place it under the first one, etc.
Let's get into pairs (movable):
Children stand in 2 rows opposite each other. One child is left without a partner. Which row has more children? (Boys or girls?) Why? Everyone has a pair, but Lena doesn’t have a pair, which means there are more boys than girls. Children run away to the music and, when the music ends, stand in 2 rows again. Now who has more girls or boys? The number of children has not changed. Which row has more children? (boys or girls?), etc.
2. Place on plates.
Children have cards with plates. The numbers 1 or 2 are written under the plates. Task: put the required number of candies on each plate. There can be 3, 4 or 5 plates. Under each one you need to write the numbers 1 or 2. You can make the numbers removable and then you can use the same cards when attaching other numbers and counting a different number of items.
3. Collect a picture.
Children have cards with numbers 1 and 2 of different colors, cut into 2 parts. - Collect the numbers. - What are their names?

Lesson 10
Lesson notes
Topic: Counting to three. Orientation in space.
Purpose: To introduce the formation of the number three.

Objectives: Learn to count to three, consolidate the concepts of the same, equal, more, less. Continue to teach how to compare groups of objects based on pairing. Form spatial relationships, consolidate the concepts of for, on, above, under, in.

Materials: characters from the fairy tale “The Three Bears”, 3 pictures of chairs, a toy dog.

Handout: 4 cones and mushrooms per person, 10 mugs.
1.Riddle:
Near the forest on the edge

three of them live in a hut.

There are three chairs and three mugs,

Three beds, three pillows.

Guess without a hint

who are the heroes of this fairy tale?
2. Formation of the number 3.
There were bears in the house. Mom, Nastasya Petrovna, and dad, Mikhail Potapovich. How many bears? Let's put the same number of chairs as bears. One for mom and one for dad. How many chairs? Does everyone have a chair? What can we say about bears and chairs? We have the same number of chairs as there are bears, equally divided – two each.

Mishutka came running. How many bears are there? Let's count. How did three bears come to be? There were two, another one came, it became three.

What are more bears or chairs? Why? Mishutka has no stool - there are more bears.

How can I make it equal again? Add a chair or remove one bear. (Mishutka ran for a walk again)

Conclusion: two and two are equal, three and three are equal.
3. Physical exercise. The bear is clubfooted.
A clubfooted bear is walking through the forest,

He collects cones and sings a song.

Suddenly a lump fell right on Mishka’s forehead.

The bear got angry and stomped his foot!

I won't go for a walk in the forest anymore!

I won't go collecting pine cones anymore!
4.Laying out
Place as many cones on the top strip as I clap my hands once. We count. Two. Place the same number of mushrooms on the bottom strip. How many mushrooms did you put in? Why? What can we say about pine cones and mushrooms? There are equal numbers of them. There are as many mushrooms as there are cones. Place another pine cone. How many cones are there? Let's count. (In chorus and individually). And now there are equal numbers of cones and mushrooms? What more? Why? The cone has no pair. There are three cones, and two mushrooms. Three is more than two. How can I make it equal? (2 ways)
5. Game "Hide and Seek"
Teddy bear will hide, and you look,

just don’t shout from your seat,

and speak quietly,

don't point fingers

tell where they found it.

Children close their eyes, and the teacher hides the toy so that the children practice correctly using the prepositions on, above, under, for, in.
6.Game in pairs.
Children are divided into pairs. Each pair has 10 yellow and red circles.

One child puts a certain number of circles, his partner must put the same number of his own.
7. Lesson summary.
What games did you play? Which one did you like best?

References: , Playing game. Practical mathematics course for preschoolers. Guidelines. - M.: "Balass" 2nd ed.).

, "Development and education of children of early preschool age. A practical guide for kindergarten teachers." - Voronezh: Shopping Center "Teacher", 2001.

Zemtsov books 2-3. Numbers and numbers

Zemtsov books 2-3. Right-left, up-down. Let's orient ourselves in space.

Zemtsov books 3-4. Right-left, up-down. Orienting ourselves in space

Zemtsov books 3-4. Numbers and numbers

Math games in kindergarten for children 3-4 years old

Games with fish for the development of FEMP in children of primary preschool age

Description: This set of tasks will contribute to the formation and development of elementary mathematical concepts in children 3-4 years old. The material may be useful to educators, parents, and speech pathologists.
Tasks
- develop counting skills within 10
- improve fine motor skills
- consolidate knowledge about the names of colors and numbers
- develop visual perception
- develop patience, perseverance, accuracy in work
Game number 1. Multi-colored fish
Target: Consolidation of color names in speech, development of perception, development of motor skills
Equipment: Multi-colored fish and aquariums, clothespins, numbers

Progress of the game: Guys, look at the beautiful fish that swam to us today. They are all multi-colored - here there are red, blue, and yellow (we demonstrate, we pronounce all the colors)


But fish can't live without water, right? Let's choose a suitable aquarium for each fish - the same color as the fish itself (using the example of one fish, we show it, connect the halves of the pictures, attach a clothespin on top. Then the children work independently).

When all the colors have been found, we pronounce the names again, count them, and give each fish the appropriate number.


Game number 2. Small aquariums
Target: Consolidation of counting skills, development of motor skills, correlation of quantities and numbers
Equipment: Fish cookies, cards with aquariums, numbers


Progress of the game Guys, let's see what little fish we have (we show a box of cookies) each fish has its own home, an aquarium, and we need to quickly help them find their home (we show the first card, we explain - there is one fish living in this aquarium, I'll take it from the box and just like that I’ll put them in place. And in the next aquarium there are already more fish - lay out the second card - let’s put all the fish in place. How many are there? 2.


Then the children work independently, putting the required amount on the cards. We lay out the aquariums in order, after all the fish are in place, please remember how many fish are in each aquarium.


For example, I have the number 3, but in which aquarium are there 3 fish swimming? Children match the number with a suitable picture, and we help if they have difficulties.


Game number 3. Large aquarium
Equipment: Fish crackers, printable task, numbers.
Target: Consolidation of the concepts “big-small”, development of counting skills, development of spatial concepts.
Progress of the game. Option number 1.(after completing the last game)
We tell the children that the fish have become bored of swimming in small aquariums and they want to move to a larger aquarium. Let's see how many fish can fit in there?
Let's talk - the aquarium is big, there are a lot of fish.


Option 2. Development of spatial concepts.
We ask you to place the fish so that some swim to the left and others to the right, or up and down.


To complicate the task, you can set the number - for example, 5 fish swim to the left, 6 to the right, etc.


Option 3.
We use colorful fish. We name the color and quantity, the children count and find the appropriate number.


Game number 4. Numbers
Equipment: Crackers worksheet.
Target: Development of counting concepts, consolidation of graphic images of numbers.


Progress of the game.
Similar to game number 2, but in a more complicated version - children find the appropriate number and count out the required amount.


Game number 5. Color and trace
Target: Development of graphic skills, consolidation of color names, consolidation of images of numbers 1-5
Equipment: Printout with the assignment, markers or colored pencils.


Progress of the game. We hand out worksheets to the children and ask them to correctly color the fish on each line. We count how many fish there are, circle the numbers, pronounce the names of the colors.


Multi-colored fish that we use in our work - print it out and play!


One of the leading principles of modern preschool education is the principle of developmental education. The development of initial mathematical knowledge and skills stimulates the comprehensive development of children, forms abstract thinking and logic, improves attention, memory and speech, which will allow the child to actively explore and master the world around him. An entertaining journey to the land of geometric shapes and arithmetic problems will be an excellent help in developing such qualities as curiosity, determination and organization.

Goals and objectives of mastering the basics of mathematics for different kindergarten groups

Arithmetic is the foundation on which the ability to correctly perceive reality is built, and creates the basis for the development of intelligence and intelligence in relation to practical issues.

I. Pestalozzi

Goals of the formation of elementary mathematical representations (FEMP):

  • children’s development of an understanding of quantitative relationships between objects;
  • mastery of specific techniques in the mental sphere (analysis, synthesis, comparison, systematization, generalization);
  • stimulating the development of independent and non-standard thinking, which will contribute to the development of intellectual culture as a whole.

Software tasks:

  1. First junior group (two to three years):
    • teach the skills of determining the number of objects (many-few, one-many);
    • learn to distinguish objects by size and designate them in words (large cube - small cube, large doll - small doll, large cars - small cars, etc.);
    • teach to see and name the cubic and spherical shape of an object;
    • develop orientation within the group premises (game room, bedroom, toilet, etc.);
    • give knowledge about parts of the body (head, arms, legs).
  2. Second junior group (three to four years):
  3. Middle group (four to five years):
  4. Senior and preparatory groups (five to seven years):

Pedagogical techniques of FEMP

  1. Visual (sample, display, demonstration of illustrative material, videos, multimedia presentations):
  2. Verbal (explanations, questions, instructions, comments):
  3. Practical:
    • Exercises (tasks, independent work with sets of didactic materials), during which children repeatedly repeat practical and mental operations. In one lesson, the teacher offers from two to four different tasks with each being repeated two or three times for reinforcement. In the middle and older groups, the complexity and number of exercises increases.
    • Gaming techniques involve the active use of surprise moments, active, and didactic games in the classroom. With older preschoolers, they begin to use a set of game tasks and verbal games based on action according to the idea: “Where is more (less)?”, “Who will name it first?”, “Say the opposite,” etc. The teacher uses elements of games in pedagogical practice exploratory and competitive in nature with a variable variety of exercises and tasks according to difficulty level.
    • Experimentation invites the child, through trial and error, to independently come to some important conclusion, measure volume, length, width, compare, discover connections and patterns.
    • Modeling geometric shapes, building numerical ladders, and creating graphic models stimulate cognitive interest and help develop interest in mathematical knowledge.

Video: math lesson using LEGO (middle group)

How to get kids interested in math at the beginning of class

To activate the attention of his students, the teacher can use poems, riddles, didactic games, costume performances, demonstration of illustrations, viewing multimedia presentations, videos or animated films. The surprise moment is usually built around a popular fairy tale or literary plot that is loved by children. His characters will create an interesting situation, an original intrigue that will involve children in the game or invite them on a fantastic journey:


Table: card index of game tasks in mathematics

Name of the gameGame content
Drawing up geometric shapes
  1. Make 2 equal triangles from 5 sticks.
  2. Make 2 equal squares from 7 sticks.
  3. Make 3 equal triangles from 7 sticks.
  4. Make 4 equal triangles from 9 sticks.
  5. Make 3 equal squares from 10 sticks.
  6. Make a square and 2 equal triangles from 5 sticks.
  7. Make a square and 4 triangles from 9 sticks.
  8. From 9 sticks make 2 squares and 4 equal triangles (from 7 sticks make 2 squares and divide into triangles.
Chain of examplesThe adult throws the ball to the child and calls a simple arithmetic, for example, 3+2. The child catches the ball, gives an answer and throws the ball back, etc.
Help Cheburashka find and fix the mistakeThe child is asked to consider how the geometric shapes are arranged, in what groups and by what criteria they are combined, notice the error, correct it and explain. The answer is addressed to Cheburashka (or any other toy). The error may be that there may be a triangle in the group of squares, and a red one in the group of blue shapes.
Only one propertyThe two players have a full set of geometric shapes. One places any piece on the table. The second player must place a piece on the table that differs from it in only one attribute. So, if the first one puts a yellow big triangle, then the second one puts, for example, a yellow big square or a blue big triangle. The game is built like a domino.
Find and name
Name the numberThe players stand against each other. An adult with a ball in his hands throws the ball and names any number, for example, 7. The child must catch the ball and name adjacent numbers - 6 and 8 (smaller first).
Fold a squareTo play the game you need to prepare 36 multi-colored squares measuring 80x80 mm. The shades of colors should be noticeably different from each other. Then cut the squares. After cutting the square, you need to write its number on each part (on the back side).
Tasks for the game:
  1. Arrange the pieces of squares by color.
  2. By numbers.
  3. Make a whole square out of the pieces.
  4. Come up with new squares.
Which?Material: ribbons of different lengths and widths.
How to play: Ribbons and cubes are laid out on the table. The teacher asks the children to find ribbons of the same length, longer - shorter, wider - narrower. Children pronounce using adjectives.
Guess the toyMaterial: 3–4 toys (at the discretion of the teacher)
Progress of the game: The teacher talks about each toy, naming external signs. The child guesses the toy.
Lotto "Geometric Shapes"Material: Cards depicting geometric shapes: circle, square, triangle, ball, cube and rectangle. Cards depicting objects of round, square, triangular, etc. shapes.
Progress of the game: The teacher gives the children cards with images of geometric shapes and asks them to find an object of the same shape.
Tell us about your patternEach child has a picture (a rug with a pattern). Children must tell how the elements of the pattern are located: in the upper right corner there is a circle, in the upper left corner there is a square. In the lower left corner there is an oval, in the lower right corner there is a rectangle, in the middle there is a circle. You can give the task to talk about the pattern that they drew in the drawing lesson. For example, in the middle there is a large circle, rays extend from it, and flowers in each corner. At the top and bottom - wavy lines, on the right and left - one wavy line with leaves, etc.
What number is next?Children stand in a circle with the leader in the center. He throws the ball to someone and says any number. The person who catches the ball calls the previous or subsequent hang. If the child makes a mistake, everyone calls out that number in unison.
Count and name“Count how many times the hammer hits, and show a card on which the same number of objects are drawn” (The teacher makes from 5 to 9 sounds). After this, he invites the children to show their cards.

Video: outdoor games for mathematics in the preparatory group

Table: mathematics in poems and riddles

Geometric figures Check Days of the week
I have no corners
And I look like a saucer
On the plate and on the lid,
On the ring, on the wheel.
Who am I, friends? (Circle)
Folded four sticks
And so I received a square.
He's known me for a long time
Every angle in it is right.
All four sides
Same length.
I'm glad to introduce him to you,
And his name is... (Square)
The circle has one friend,
Everyone knows her appearance!
She walks along the edge of the circle
And it's called a circle!
I took a triangle and a square,
He built a house from them.
And I am very happy about this:
Now a gnome lives there.
We will put two squares,
And then a huge circle.
And then three more circles,
Triangular cap.
So the cheerful eccentric came out.
A triangle has three sides
And they can be of different lengths.
The trapezoid looks more like a roof.
The skirt is also drawn as an a-line.
Take the triangle and remove the top -
You can get a trapezoid this way.
There's a puppy sitting on the porch
Warms his fluffy side.
Another one came running
And sat down next to him.
How many puppies are there?
A rooster flew up onto the fence,
Met two more there.
How many roosters are there?
Who has the answer?
Five puppies were playing football
One was called home.
He looks out the window, thinks,
How many of them are playing now?
Four ripe pears
It was swinging on a branch.
Pavlusha picked two pears,
How many pears are left?
Brought by the mother goose
Six children take a walk in the meadow.
All the goslings are like balls.
Three sons, how many daughters?
Grandson Shura is a kind grandfather
Yesterday I gave seven pieces of sweets.
The grandson ate one candy.
How many pieces are left?
Badger Grandmother
I baked pancakes
I invited three grandchildren,
Three pugnacious badgers.
Come on, how many badgers are there?
Are they waiting for more and are silent?
This flower has
Four petals.
And how many petals
Two flowers like this?
On Monday I did the laundry
I swept the floor on Tuesday.
On Wednesday I baked kalach
All Thursday I was looking for the ball,
I washed the cups on Friday,
And on Saturday I bought a cake.
All my girlfriends on Sunday
Invited me for my birthday.
Here is a week, there are seven days in it.
Get to know her quickly.
First day of all weeks
It will be called Monday.
Tuesday is the second day
He stands in front of the environment.
Middle Wednesday
It was always the third day.
And Thursday, the fourth day,
He wears his hat on one side.
Fifth - Friday-sister,
A very fashionable girl.
And on Saturday, day six
Let's relax as a group
And the last one, Sunday,
Let's set it up as a day of fun.
- Where is the slacker Monday? -
Tuesday asks.
- Monday is not a slacker,
He's no slacker
He's a great janitor!
It's for Chef Wednesday
He brought a bucket of water.
Fireman Thursday
He made a poker.
But Friday came -
Shy, tidy,
He left all his work
And I went with her on Saturday
By Sunday for lunch.
I said hello to you.
(Yu. Moritz).

Photo gallery: didactic games for the development of mental arithmetic

How many flowers does a bee need to fly around? How many apples are on the branch, how many are on the grass? How many mushrooms are there under the high tree, and how many are there under the low one? How many hares are there in a basket? How many apples did the children eat, and how many were left? How many ducklings? How many fish swim to the right, how many to the left? How many Christmas trees were there, how many were cut down? How many trees, how many birches are there? How many carrots did the bunny eat? How many apples were there, how many are left?

Video: educational cartoon (learning to count)

Stages of development of counting activities by age groups

Preparatory “pre-numerical” stage (three to four years). Mastering comparison techniques:

  • Imposition is the simplest method, which is taught using toys, as well as sets of colorful illustrative cards with images of three to six objects. For adequate perception during this period of training, the drawn elements are arranged in one horizontal row. The cards, as a rule, are accompanied by additional handouts (small-sized elements), which are placed or superimposed on the images by moving the hand from left to right so as not to completely cover the pictures. The teacher guides children to understand and remember the sequence of actions, the meaning of the expressions “the same,” “one to one,” “as much as,” “equally.” The teacher accompanies the demonstration of the overlay technique with clarifying explanations and questions: “I give each hedgehog an apple. How many apples did I give to the hedgehogs? After strengthening the children’s understanding of the principle of correspondence, the teacher moves on to explain the concept of “equally”: “There are as many apples as there are hedgehogs, that is, equally.”
  • Application - to master the technique, the principle of two parallel rows is used, objects are drawn in the top row, the bottom row can be drawn into squares for ease of perception. Having placed objects on the drawings, the teacher moves them to the corresponding squares in the bottom row. Both techniques are practiced when kids master the concept of inequality: “more than; less than”, while the quantitative groups for comparison differ in only one element.
  • Paired comparison, for which the teacher makes pairs of different objects (cars and nesting dolls), then turns to the children with the question: “How did we know that there are equal numbers of cars and nesting dolls?”

Video: mathematics in the second junior group

Counting stage within 5 (four to five years):

  • Step one is a numerical comparison of two groups of elements arranged in two horizontal rows, which are located one below the other for greater clarity. Distinctions (more, less, equal) are fixed by words denoting numerals, thanks to which children perceive the relationship between number and the number of elements. The teacher adds or subtracts one item, which helps to see and understand how the next or previous number can be obtained.
  • Step two is devoted to mastering the operations of ordinal counting and counting skills; children are taught to show feminine, masculine and neuter objects (doll, ball, apple) in order and name the corresponding numeral word. Then the kids are asked to form a quantitative group based on the named number, for example, “Collect 2 cubes and 4 balls.”

Video: counting in the middle group

Counting stage within ten (five to seven years).

Techniques based on the principle of obtaining the next number from the previous one and vice versa by adding or subtracting one are still the main ones. The exercises are structured around a visual comparison of two groups of different objects, for example, a car and a nesting doll, or objects of the same type, but divided into groups according to a certain criterion, for example, red and blue houses. As a rule, during the lesson two new numbers are given, following each other, for example, six and seven. In the third quarter of the older group, children are introduced to the composition of numbers from units.

To develop the mental operation of counting, the exercises become more complex; children are offered tasks related to counting sounds (claps or sounds of musical instruments), movements (jumping, squats) or counting by touch, for example, counting small parts of a construction set with their eyes closed.

Video: counting in the senior group

How to Plan and Conduct a Math Lesson

A math lesson is held once a week, the duration depends on the age of the children:

  • 10–15 minutes in the younger group;
  • 20 minutes ;
  • 25–30 in high school and prep.

During classes, both collective and individual forms of work are actively practiced. The individual format involves performing exercises near the demonstration board or at the teacher’s desk.

Individual exercises, along with collective forms of training, help solve the problems of assimilation and consolidation of knowledge and skills. In addition, individual exercises serve as a model for collective performance. The optimal option for organizing and conducting mathematics classes involves dividing children into subgroups, taking into account different intellectual abilities. This approach will help improve the quality of education and create the necessary conditions for the implementation of an individual approach and rational dosing of mental and psychological stress.

Video: individual lesson with three-year-old children

Table: card index of topics for getting to know numbers in the preparatory group

SubjectTasks
"Numbers 1–5"Repeat numbers 1–5: education, spelling, composition; strengthen quantitative and ordinal counting skills; develop graphic skills; consolidate the concepts of “subsequent” and “previous” numbers.
"Number 6. Number 6"Introduce the formation and composition of the number 6, the number 6; consolidate an understanding of the relationship between part and whole, ideas about the properties of objects, geometric concepts, consolidate ideas about a triangle, train children in solving problems, identifying parts in a problem.
"Longer, shorter"To develop the ability to compare the length of objects “by eye” and using direct superposition, to introduce the words “longer” and “shorter” into speech practice, to consolidate the relationship between the whole and parts, knowledge of the composition of numbers 2–6, counting skills: forward and backward counting, solution addition and subtraction problems, practice writing the solution to a problem, and composing problems based on the proposed expression.
“Measuring length” (three lessons)To form an idea of ​​​​measuring length using a measure, to introduce such units of length as step, span, cubit, fathom. Strengthen the ability to compose mini-stories and expressions from pictures, counting skills in forward and reverse order, repeat the composition of numbers within 6, introduce the centimeter and meter as generally accepted units of length, develop the ability to use a ruler to measure the lengths of segments.
“Number 7. Number 7” (three lessons)To introduce the formation and composition of the number 7, the number 7, to consolidate the idea of ​​the composition of numbers 2–6, the relationship between the whole and parts, the concept of a polygon, to train children in solving examples like 3+1, 5─, to improve the ability to work with a plan and map, the ability measure the length of segments using a ruler, repeat the comparison of groups of objects using pairings, techniques for counting and counting one or more units on a number line, consolidate the ability to compare the number of objects, use signs<, >, =.
"Heavier, lighter"It is harder to form ideas about concepts - it is easier on the basis of direct comparison of objects by mass.
"Mass Measurement"To form in children ideas about the need to choose a measure when measuring mass. Introduce the 1 kg measurement.
"Number 8. Number 8"To introduce the formation and composition of the number 8, the number 8, to consolidate ideas about the composition of numbers 2–7, counting skills in forward and reverse order, the relationship of the whole and parts.
"Volume"Form an idea of ​​volume (capacity), comparison of vessels by volume using transfusion.
"Number 9. Number 9"Introduce the composition and formation of the number 9, the number 9, introduce the dial of a clock, form ideas about determining time by a clock, train children in composing problems using pictures, writing down solutions, and solving mazes.
"Square"Form ideas about the area of ​​figures, comparing figures by area directly and using a conventional measure.
"Number 0. Digit 0"To consolidate the idea of ​​the number 0 and the number 0, about the composition of the numbers 8 and 9, to develop the ability to make numerical equalities from drawings and vice versa, to move from drawings to numerical equalities.
"Number 10"To form ideas about the number 10: its formation, composition, recording, to consolidate an understanding of the relationship between the whole and parts, the ability to recognize triangles and quadrilaterals, to develop graphic skills, the ability to navigate on a sheet of paper in a box (graphic dictation).
"Ball. Cube Parallelepiped"To develop the ability to find objects shaped like a ball, cube, or parallelepiped in the environment.
"Pyramid. Cone. Cylinder"To develop the ability to find objects in the shape of a pyramid, cone, or cylinder in the environment.
"Symbols"Introduce children to the use of symbols to indicate the properties of objects (color, shape, size).

Video: mathematics in the preparatory group

Lesson structure and outline

Lesson structure:

  • The organizational part is a motivating start to the lesson.
  • The main part is the teacher’s practical explanations and the children’s independent completion of tasks and exercises.
  • The final part is the analysis and assessment by children of the results of their work.

Table: notes from S. V. Smirnova’s lesson “In the footsteps of Kolobok” in the senior group

Goals and objectivesDidactic goal: to form children’s understanding of how the number 8 is formed.
Tasks:
  • Strengthen the ability to count within 10; consolidate the ability to compare multiple objects, equate them; learn to distinguish geometric shapes (circle, oval, square).
  • Develop logical thinking, memory, imagination.
  • Foster independence, the desire to help in difficult times, and a sense of empathy.

Materials: counting material (carrots, multi-colored strips of paper, buns, bagels), drawings of felt boots with geometric patterns, album sheets with images of hare tracks, 3 boxes of different sizes, figures of animals and a magpie, a figurine of Kolobok.
During the lesson, children move from table to table, to the “home” of a hare, wolf, bear, fox, then return to their starting position.

Organizational part- Children, this morning I saw a bird on my table. Do you know what kind of bird this is? (Magpie). They say that she flies everywhere, knows everything, and brings news on her long tail. So today she brought us some kind of message. Let's read it.
“I left my grandmother, I left my grandfather. Got into trouble. Save."
No signature. Apparently someone was in a hurry. Do you know from whom the magpie brought this note? (from Kolobok). Children, who wants to help our friend? But the journey can be dangerous. Aren't you afraid? Then we hit the road. (There are sheets on the floor with images of hare tracks)
  • Some kind of animal on the run
    Left a footprint in the snow.
    Now you can tell me
    How many feet have walked here? (Four)
  • Here are some more traces,
    How many are there now? (Eight)

Children, what animal left these tracks? (hare)
And here is his house. Hurry up to him.

Main part- Hello, dear hare. Tell me, please, did our friend, Kolobok, pass here? (The hare “whispers” in his ear). Yes, children, Kolobok was here. The bunny will help us, but let us also help him.
- The bunny brought home a whole basket of carrots. Bunny has a large family - 8 bunnies. Will his kids have enough carrots? Let's help him count how many carrots (count to 7). Oh, look, there’s another one at the bottom. How much is it now? How much was there, how much was added, how much became? (counting forward and backward). Children, the bunny thanks us and says that Kolobok went to the Wolf.
- Hello, dear Wolf! Have you met our friend, Kolobok? (The wolf “whispers” in his ear). Yes, our friend was here. Gray Wolf will help us. Let's help him too. The Wolf got ready to repair his home for the winter and prepared some planks. Let's help him sort them out. Select 7 planks each and place them in front of you. There are still boards left. Think about what needs to be done so that everyone has 8 planks. How much was there, how much more did they take, how much was it? Let's build a house for the Wolf from planks. (Children design houses for the Wolf) Children, the Wolf really liked your houses, he says that every day he will change his home, moving from one house to another. And now he invites you to rest.
Physical education lesson “The wind shakes the Christmas tree”
  • The wind shakes the Christmas tree,
    Tilts right, left.
    The wind blows in our faces
    The tree swayed.
    The wind is getting quieter and quieter.
    The tree is getting higher and higher.

Well, guys, it’s time for us to go, Kolobok went to the Bear.
- Hello, Mikhail Potapovich. Have you met our friend Kolobok? (“whispers” in the ear). Kolobok was here and even caused a little mischief. Misha prepared several pairs of felt boots for winter sleep in the den, put them out to dry, and Kolobok, in his haste, scattered the felt boots all over. Let's help Misha choose matching felt boots. (Children make pairs, count geometric shapes in patterns).
The bear thanks the children and sends them to the Fox.

  • Oh, you red-haired cheat,
    You hide Kolobok cleverly,
    We'll find him anyway
    We'll save him from trouble.

Children, Chanterelle is waiting for guests, she baked buns and bagels, she baked a lot and wondered if there would be enough for all the guests equally? That's why she hid our flour sweet Kolobok. Let's help Fox, compare the number of bagels and buns (compare in pairs, equalize sets).
- Lisa told me that she hid Kolobok in one of these boxes. Let's open them. To do this, we will guess the riddles written on them.

  • Two hedgehogs were carrying mushrooms.
    Another one came running
    Four-legged friend.
    Look at the hedgehogs.
    How much will? Exactly...(3)
  • I draw Cat's house:
    Three windows
    Door with porch.
    There's another window upstairs
    So that it is not dark.
    Count the windows
    In the cat's house.(4)
  • Here are the mushrooms on the meadow
    They are wearing red caps.
    Two mushrooms, three mushrooms,
    How many will be together? (5)
    (Children find Kolobok in one of the boxes).
  • Hello, dear Kolobok,
    Kolobok is a ruddy side.
    We've been looking for you for a long time,
    And a little tired.
    We'll take a little rest
    And then we'll start playing.
Final part- Children, are you glad that you saved Kolobok? Well done! Let's tell our friend who we met along the way and who we helped. (Children, passing a toy to each other, talk about their journey).

Video: lesson on FEMP in the senior group “Journey through mathematics with Masha and the bear”


Features of mathematics classes for gifted children

A child’s giftedness is an individual, bright manifestation of a strong, active, non-standard, rapidly developing intellect that is significantly ahead of average age indicators. The goal of working with gifted children is to create favorable conditions for motivating the development of mathematical abilities.

Gifted children can be offered a quantitatively different volume, as well as a searching, problem-based nature of the presentation of educational material. To implement this approach to learning, it is advisable to use tasks of increased complexity taken from the training program for older children.

Gifted children can be offered a quantitatively different volume, as well as the exploratory, problem-based nature of the presentation of educational material

Methods of working with gifted children:

  • A specially organized developmental environment that stimulates the development of observation, curiosity, and creative thinking (educational mathematical games, didactic material for experimentation, construction kits).
  • Organization of the work of the mathematical circle.
  • Unconventional original methods of early development that have proven to be highly effective, for example, Dienesh's logic blocks, Cuisenaire's sticks, and the Nikitin spouses' puzzle games.
  • The use of modern ICT teaching tools, which will make classes more interesting, creative, vibrant, and emotionally rich.
  • Individual format of work, the use of game techniques that develop children’s mathematical abilities.

Photo gallery: example of tasks for working with gifted children

Logical tasks with geometric pictures Graphic tasks and diagrams Didactic tasks with numbers Tasks to identify a logical sequence Interesting examples in pictures Logical tasks in diagrams and pictures Logical patterns in signs and symbols Paired counting in pictures Examples in tables Distribution of objects according to characteristics Connecting the dots in order Task to determine the correspondence of the task and the scheme Numerical patterns and patterns in cells Numerical patterns and graphic pictures Numerical puzzles

Table: summary of the mathematics lesson “Rocket at launch” for working with gifted children by S. A. Goreva

Goals and objectivesGoal: to diagnose children’s ability to independently find a solution to a problem.
Tasks:
Develop:
  • the ability of children to consciously act in new conditions (set a goal, take into account conditions, carry out basic planning, get results);
  • ability to act on one's own initiative;
  • the ability to complete tasks without seeking help or adult supervision;
  • the ability to carry out basic self-control and self-assessment of performance results;
  • the ability to transfer previously acquired knowledge and actions to new conditions;
  • ability to analyze and process received information in accordance with input data;
  • research skills;
  • creative thinking - the ability to find non-standard solutions and think beyond ready-made templates.

Pin:

  • counting skills;
  • the ability to correlate numbers with the number of objects;
  • orientation skills according to the terrain plan.
Form of conduct“Class without a teacher”
Materials
  • drawn rocket;
  • sets of numbers from 0 to 10;
  • pyramid, pyramid construction schemes;
  • code table;
  • handouts (planets, stars, months);
  • a jug with a rubber ball and signs “Do not turn over” and “Do not remove from the bottom by hand”;
  • cups with different fillings (two or three - granulated sugar, others - salt, three or four - water);
  • plan of a group room, toys with numbers stuck on them;
  • painted gate with a lock;
  • split letters;
  • tambourine.
Organizational partThe teacher invites the children to “launch a rocket into space,” and to do this they need to complete several tasks independently, without the help of adults. For each correctly completed task, you will be given some elements that will help launch the rocket. The teacher reminds the children that they can complete tasks only if they act together and listen to the opinions of others. Please note that as the game progresses, sound signals will sound, indicating to players that they are going in the wrong direction and need to look for another way to solve the problem. (Sound signals are necessary, as this allows children to navigate a little in the decision options and not mark time).
Main part
  1. "Jug with a secret."
    A jug with a rubber ball at the bottom is offered. On the jug there are signs “Do not turn over” and “Do not remove from the bottom by hand.” To get the ball (and the number “1” is attached to it), children must figure out how to pour water into the jug, and the ball will float up.
    Cups of water are on the table. To allow experimentation, there are cups with different fillings.
  2. "Pyramid".
    A disassembled pyramid is offered, which must be assembled according to the diagram lying nearby. Having assembled the pyramid, children receive more numbers “4” and “10”.
  3. "Group Plan"
    On the group plan, in certain places, the numbers of toys are indicated that need to be placed in these places. Toys with numbers stand nearby on the table. After completing the task correctly, players receive the numbers “0” and “9”.
  4. "Entrance to the cosmodrome."
    It is expected that at the “gate to the cosmodrome” the children will place circles with drawn arrows in the empty spaces in the direction indicated on the fence next to the gate. Having opened the gate, the guys receive the number “3”.
  5. "Launch code".
    Table 3/3 is suggested. In the top row there are images of the month, stars, planets. There are 5 months, 8 stars, 6 planets and numbers from 0 to 9 on the table. Children are expected to count the months, stars, planets and put the corresponding numbers “5”, “8”, “6” in the table. This is the startup code. Having solved the code, players receive the numbers “5”, “8” and “6”
  6. "Ready to start" .
    Cut letters of two colors are offered, from which words are assembled: red - “rocket”, blue - “start”. After completing the task correctly, players receive the numbers “2” and “7”. If the guys collect all the numbers from 0 to 10, they will be able to count backwards to “launch a rocket into space.”

Video: Nikitin’s game “Fold the square”

Features of mathematics classes for preschoolers with general speech underdevelopment

Features of the development of mathematical skills in children with general speech underdevelopment (GSD):

  • Slurring, unintelligibility of speech, and poor vocabulary lead to the fact that children often feel insecure during frontal classes.
  • A speech defect leads to problems of unstable attention, small memory capacity, low level of development of logical and abstract thinking, and accordingly, difficulties arise with the perception of educational material:
    • mirror way of writing numbers;
    • difficulties with forming a number series;
    • problems with spatial and temporal orientation.

Features of corrective complex work on FEMP in a speech therapy group:

  • The implementation of software mathematical tasks is combined with the implementation of speech therapy tasks. The work is planned on the basis of a thematic principle, for example, while studying the theme of the week “Fruits”, children count them, compare them by color, shape, size, divide them into groups, and create simple problems.
  • To develop counting skills, it is important to monitor the correct use of case forms of cardinal numerals paired with nouns (one apple - three apples).
  • It is necessary to encourage children in a friendly manner to give detailed answers, improve monologue speech, and develop communication skills.
  • The teacher’s speech should be clear, unhurried, and accompanied by repetitions of important information for a more detailed and in-depth understanding of it.
  • If possible, use individual and group classes more often in the morning and evening.
  • Try to consolidate the skills of ordinal and quantitative counting during everyday activities (counting floors, cars while walking, objects and characters in reading classes, movements in physical education classes, etc.).
  • In classes on visual arts and paper construction, consolidate spatial concepts.

Table: summary of a mathematics lesson “The Journey of a Point” in a senior speech therapy group by L. S. Krivokhizhina

TasksEducational:
  • Create conditions for speech activity, including terms in the active dictionary (long, short, far, close, less, more).
  • To promote the ability to reduce a number by one.
  • To help consolidate skills in recognizing geometric shapes: rectangle, square, circle.
  • Create conditions for developing skills in counting to 5, distinguishing the writing of the number 5 and relating it to five objects.

Correctional and developmental:

  • Promote the development of logical thinking, attention, memory.
  • Create conditions for training mental operations - analysis, comparison, generalization.
MaterialsDemonstration material: planar geometric shapes (circle, square, rectangle), a paper dot and a magnet of the same color for working on the board.
Organizational partCreating a positive emotional background.
- Guys, I want to give you a good mood, and a smile will help me with this. I give you a smile and a good mood, and you will smile back at me.
Motivational - orientation stage
Educator:
- Children, I know that you really like listening to fairy tales? Wouldn’t you like to get into a fairy tale yourself? Once upon a time there lived a little Dot. She lived in a land of geometric shapes. But an evil wizard kidnapped her and doesn’t want to let her go. Guys, we need to help our heroine - Dot. She really wants to go home - to the magical land of geometric shapes. She is so small, timid, and only you can help her. Fine? The fairy tale begins, and you are the main characters in it. Heroes always help those who are in difficulty.
- Today we will travel together through a fairy tale, not a simple fairy tale, but a magical one, with mathematical tasks. And to get into a fairy tale, you need to close your eyes and say the magic words: “A wonderful miracle, come true, and we will find ourselves in a fairy tale.” We open our eyes. You guys and I are in a fairy tale. Well, let's get down to business and help out our dot?
Main part
  1. Problem situation No. 1
    Plot.
    Guys, we found ourselves in the forest where a hare, a squirrel, and a hedgehog live. They just can’t figure out whose house is further and whose is closer from Baba Yaga’s hut. Shall we help?
    Game "Houses and paths"
    The teacher hands out sheets of paper to the children, where large multi-colored dots conventionally depict animal houses: a hare, a squirrel, a hedgehog. Children are invited to use felt-tip pens to connect the houses with paths of different colors. Then the children look at the paths and tell which one is longer (shorter). From a hare's house to a squirrel's house, or from a squirrel's house to a hedgehog's house, etc. Children also use the concept of “far”, “close”, based on the length of the path.
  2. Problem situation No. 2.
    Plot.
    Educator:
    Baba Yaga gave a ball and sent us to Lesovich. He has a map that allows Dot to get to his country Geometry. The ball has rolled, and we will follow the ball. It’s good in the forest near Lesovichok, the birds are singing, the scent of flowers hangs over the clearing. Let's enjoy this scent too.
  3. Breathing exercises “Bow”.
    1. Starting position: stand straight, arms down.
    2. Lean forward slightly, round your back, lower your head and arms.
    3. Take a short, noisy breath at the end point of the bow (“smell the flowers”).
    4. Then smoothly, exhaling freely through your nose or mouth, return to the starting position. (According to A.N. Strelnikova).
  4. Game "Roll up the Ribbon".
    The teacher shows how to twist the ribbon. Children try to carry out this play action. Everyone starts rolling the ribbons at the same time, but it turns out that some children did it faster than others. The reason is revealed: the tapes are of different lengths. In order to make sure of this, children place the ribbons on the floor, apply one to the other, using the words “identical”, “longer”, “shorter”.
  5. Problem - situation No. 3.
    Educator: Now we have a map, but it’s difficult to understand it, since some of the lines on it have been erased. Only friendship and mutual assistance will help us complete and read the map.
    Geometric shapes are drawn on a sheet of paper: circles, squares and rectangles of different colors and sizes. Children are asked to connect certain geometric shapes with a certain color. For example, connect a large red circle in blue with a small blue square, etc.
    Educator:
    Guys, the map is ready, but we just can’t get to the country of Geometry.
    Are we in a fairy forest? And miracles happen in the forest. The forest dwellers have prepared a task.
  6. Problem - situation No. 4.
    Cut-out pictures of animals. Children break up in pairs and complete the task.
    Counting objects up to five (carrots for a hare, apples for a hedgehog, nuts for a squirrel) flat vegetables, who has more, find out if you find it difficult by overlapping.
    Look at this house, what number lives in this house? We need to place residents on floors so that two numbers together make the number 5. Let's start with the top floor. Number 4 already lives on this floor, but what number should live next to it? 1. Well done, you coped with this task too.
    The residents of the house advised me to gain strength to move on.
  7. Dynamic pause.
    • 1, 2, 3, 4, 5.
      We all know how to count.
      We also know how to relax.
      Let's put our hands behind our backs,
      Let's raise our heads higher.
      And let's breathe easily.
    • One two three four five.
      Everything can be counted.
      How many corners are there in the room?
      How many legs do sparrows have?
      How many fingers are there on your hands?
      How many toes are there on your feet?
      How many benches are there in the kindergarten?
      How many kopecks are in a penny?
  8. Problem - situation No. 5 (introduce the concept of “minus sign”).
  9. The teacher explains and shows the children that the index finger in a horizontal position is a minus sign. Now let's play tag for minus. The driver touches anyone with his index finger - a minus - and is eliminated from the game. (Five players, the sixth driver, who was hit, dropped out of the game - minus one, we count the remaining ones, etc.).
    Educator: Children, you did a great job with almost all the tasks. There's one last thing left. You need to pick up the keys to the house where the dot lives.
  10. Problem - situation No. 6.
    Game "Lay it out correctly."
    The teacher shows the figure, the children say which house to put it in. All the shapes are the same color, the triangles differ in configuration. Children group the shapes by shape.
    Well done to all of you and you completed all the tasks. The dot thanks you and returns to its country Geometry.

Educator:
- It’s time for us to return to kindergarten. Close your eyes and start counting from 1 to 5 (children count in chorus).

  • We went to the magical forest.
    All the villains were defeated.
    Learned a lot of new things
    And they told everyone about it.
    We returned back.
    The kindergarten is very happy for us.
Final part- Where did we go today, guys?
- What did you like?
- What would you like to wish your friends?

Photo gallery: didactic material for the lesson

Children group the shapes according to their shape. Two numbers together must form the number 5. Large dots conventionally depict animal houses. It is suggested that they use felt-tip pens to connect the houses with paths of different colors. As a result of the experiment, children understand that the ribbons are of different lengths. Children connect the cut pictures of animals into a solid image. Game “Roll up the ribbons” for Children. it is proposed to connect geometric shapes with a certain color

Features of mathematics classes for hearing-impaired preschoolers

Hearing impairment is a complete or partial loss of the ability to perceive sounds. Depending on the degree of development of the problem, hearing-impaired children may have sufficiently developed speech with significant defects; the second group of hearing-impaired children includes children with serious speech underdevelopment.

One way or another, all children with hearing loss have problems associated with mental and speech development and face difficulties in interacting with people around them. The main channel of perception of the outside world is visual, therefore such children have a lower threshold for fatigue, unstable attention, as a result of which they make more mistakes. Hearing-impaired children are educated in special compensatory, combined type kindergartens with specialized (no more than six children) or integrated mixed (one or two children in a regular group) groups.

Teaching methods:

  • Sign language - a specific gesture is a symbolic representation of a word, finger alphabet, when a finger sign displays a letter.
  • An oral method that teaches spoken language without gesturing.

Punch cards are cardboard cards with cut-out “windows” into which children write answers. This visual and practical method expands the possibilities of implementing individual training.

An example of punch cards for working in a correctional group:

  1. “Complete the figure” - a task to discover patterns.

    The task requires children to have sufficiently developed logical thinking

  2. “Put the right sign” - strengthening comparison skills.

    The task is aimed at strengthening comparison skills and the use of “more” and “less” signs

  3. “Write down the signs and numbers” - a task to determine equality, inequality, presupposing knowledge of numbers and signs.

    Children must write in the squares and numbers in accordance with the number of figures, and the inequality sign

  4. “Draw the missing fruits, fish...” - an exercise on the ability to correlate the number of objects with a number.

    In this task you need to complete the missing number of objects in an empty cell

Mathematical exercises in kindergarten

It is difficult for preschool children to cope with monotonous monotonous work, so it is advisable to carry out motor, finger or breathing exercises with little fidgets in a timely manner, and in the process of work, include outdoor games of a mathematical nature.

Video: math exercise

Table: poems for math exercises

The sun lifts us up to exercise,
We raise our hands at the command “one”.
And above them the foliage rustles merrily.
We lower our hands on the command “two”.
One day the mice came out
See what time it is.
One two three four -
The mice pulled the weights...
Suddenly there was a terrible ringing sound,
The mice ran away.
Darkness lay all around.
One two Three -
Run, run!
Pinocchio stretched,
Once - bent over,
Two - bent over,
Three - bent over.
He spread his arms to the sides,
Apparently I didn't find the key.
To get us the key,
We need to stand on our toes.
Fingers fell asleep
Curled into a fist.
(Clench your fingers into fists.)
One two three four five!
(Extend your fingers one by one).
Wanted to play!
The sun looked into the crib...
One two three four five.
We all do exercises
We need to sit down and stand up,
Extend your arms wider.
One two three four five.
Bend over - three, four,
And stand still.
On the toe, then on the heel -
We all do exercises.
One, two - head up,
Three, four - arms wider.
Five, six - sit down quietly,
Seven, eight - let's discard laziness.
One two three four five,
We all know how to count.
We also know how to relax -
Let's put our hands behind our backs,
Let's raise our heads higher
And let's breathe easily.
Pull up on your toes
so many times
Exactly as much as
fingers on your hand.
One, two - head up.
Three, four - arms wider.
Five, six - sit down quietly.
Once - rise. Pull yourself up.
Two - bend over, straighten up.
Three - three claps of your hands,
Three nods of the head.
Four - arms wider,
Five - wave your arms,
Six - sit quietly at the table.
Together with you we believed
And they talked about numbers.
And now we stand together
They kneaded their bones.
On the count of “one”, let’s clench our fist.
On the count of two, bend your elbows.
On the count of three, press it to your shoulders.
On four - to heaven.
Well done
And they smiled at each other.
Let’s not forget about the “five” -
we will always be kind.
Let's all raise our hands!
The two sat down, hands down,
Look at your neighbor.
Once! - and up
Two! - and down
Look at your neighbor.
Let's get up together,
To give my legs something to do.
They sat down once, they stood up twice.
Who tried to squat
Maybe he can rest.
One two three four five.
We know how to relax.
We stood up and sat down a little
And the neighbor was not hurt.
And now I have to get up
Sit quietly and continue.

Diagnostics of mathematical development of preschool children

Diagnostics of mathematical development is a study that helps to identify the degree to which children’s real knowledge and skills correspond to the program goals and objectives of the FEMP. The information obtained allows us to draw useful conclusions and choose the most effective technology for achieving high results, as well as adjust further pedagogical work strategy. The research material usually includes playful written and oral tasks, questions for conversation, similar to those discussed in class.

Method:

  • the research is carried out at the beginning (questions on the program of the previous year of study) and at the end of the school year by preschool teachers (head, methodologist, qualified teachers, specialist teachers);
  • the form of implementation can be either group (no more than ten to twelve people) or individual;
  • the task is read at a calm pace, up to three minutes are allotted for completion, they move on to the next task when the majority (approximately ninety percent) of the children have completed the task;
  • The duration of the study should not exceed the time frame of a regular lesson corresponding to a certain age.

The study allows us to adjust further pedagogical work strategy

The results of the study make it possible to determine the level of development of the subjects’ mathematical knowledge:

  • Tall - the child copes with solving assigned tasks independently, productively using the acquired knowledge and skills. The answers are formulated in detailed form, with explanations of the algorithm of actions and logically constructed reasoning. The subject uses special terms and demonstrates a high level of speech development.
  • Average - the child partially copes with the task; the stock of program knowledge and skills is not enough to solve the problems without additional help, hints, and leading questions. A limited supply of special words does not allow one to give a well-formulated, complete answer; the child finds it difficult to explain the sequence of actions performed.
  • Low - the child experiences serious difficulties while completing tasks, makes erroneous actions, misses some tasks, and the help of the teacher does not lead to a positive result. Does not know special terms, level of speech development is low.

Table: examples of tasks for diagnostics in the middle group

Development indicators
(what is being assessed)
Games and exercises
The ability to distinguish from which parts a group of objects is made up, to name their characteristic features (color, shape, size).Game "Find and Color"
Invite the children to color only the squares.
- How many squares did you color? (3)
- What size are the squares?
- What color did you decorate the largest, smaller, smallest square?
Be able to count and count within 5, know the total of the count.Game "Guess the riddle"
- Draw as many circles in the rectangle as there are birds in the picture.
Ability to reproduce quantities using patterns and numbers.Game "Count and Draw"
- Draw as many circles in the lower rectangle as there are in the upper one.
- Draw as many balls in the lower rectangle as there are in the upper one.
The ability to establish a connection between number and quantity.Game "Find and Color"
- Color as many squares as the number represents.
The ability to determine length, correlate several objects by length.Exercise “Short and Long”
The child is given a set of strips of the same width, but of different lengths.
- Arrange the strips from longest to shortest.
- Which strip is long (short)?
- Which stripes are longer than the green one?
- Which stripes are shorter than the red one?
The ability to see and name the properties of objects (width).Game "Wide, Narrow"
- Color the wide path with a yellow pencil, and the narrow path with green.
- Who walks along the wide path?
- On a narrow one?
Ability to distinguish objects by length and width.Exercise “Compare tracks”
Two tracks of different lengths and widths, a tennis ball.
The teacher suggests comparing the paths by length and width.
- Show me the long track (short track).
- What can you say about the width of the tracks?
- Show me the wide (narrow) path.
- Roll the ball along a narrow (wide) path; along the long (short) path.
The ability to independently find a way to compare objects (overlay, application).Exercise “Circles and Squares”
1. The child is asked to place all the circles on the top strip of the counting ruler, and all the squares on the bottom strip.
- How many circles did you lay out, and how many squares?
- What can you say about the number of circles and squares? (they are equal)
- Put one square in the box. What can we say now about the number of circles and squares?
2. A box with figures is placed in front of the child.
- How to determine which figures are more and which are smaller in a box? (Count).
- How else can you check? (Place on top of each other, or place in pairs).
Ability to name geometric shapes (circle, square, triangle),
geometric bodies (sphere, cube, cylinder).
Game "Find and Color".
- Name the geometric shapes (circle, oval, square, rectangle).
- Name three-dimensional bodies: sphere, cube, cylinder.
- Color the ball with a red pencil, the cube with blue, and the cylinder with green.
-What was painted red? Blue? Green?
The ability to independently determine the shape of objects, independently use visual and tactile-motor methods of examination to identify signs of geometric shapes.Game "Find and name"
On the table in front of the child, 10–12 geometric shapes of different colors and sizes are laid out in disarray. The presenter asks to show various geometric shapes, for example: a large circle, a small blue square, etc.
The ability to correlate the shape of objects with geometric figures.Game “Match the shape with the geometric figure.”
Object pictures (plate, scarf, ball, glass, window, door) and geometric shapes (circle, square, cylinder, rectangle, etc.).
The teacher asks to correlate the shape of objects with known geometric shapes: a plate is a circle, a scarf is a square, a ball is a sphere, a glass is a cylinder, a window, a door is a rectangle, etc.
Orientation in space.Game “Where will you go, what will you find?”
In the absence of children, the teacher hides toys in different places in the room, taking into account the child’s expected location (in front, behind, left, right). For example, he hides a bear behind a screen in front, and places a matryoshka doll on the shelf behind him, etc. He explains the task: “Today you will learn how to find hidden toys.” Calling the child, he says: “If you go forward, you will find a bear, if you go back, you will find a nesting doll.” Where do you want to go and what will you find there? The child must choose a direction, name it and go in that direction. Having found a toy, he says which toy and where he found it. (“I went back and found a nesting doll on the shelf”).
Note. At first, the child is asked to choose a direction only from 2 paired directions offered to him (forward-backward, left-right), and later - from 4. The number of toys located on each side is gradually increased. The task can be offered to 2 children at the same time.
The ability to independently determine the location of objects in relation to oneself.Game "Assignment".
Material: set of toys (matryoshka, car, ball, pyramid).
The child sits on the carpet facing the teacher.
- Arrange the toys as follows: the nesting doll is in front (relative to yourself), the car is behind, the ball is on the left, the pyramid is on the right.
Ability to navigate on a sheet of paper, on the plane of a table.Exercise “What is where”
- In the right rectangle, draw:
  • in the middle there is a circle;
  • in the upper right corner there is an oval;
  • in the lower left corner there is a triangle.

Tell us how the shapes are arranged in a rectangle.

Ability to navigate a group room.Game "Name What You See".
According to the teacher’s instructions, the child stands in a certain place in the group. Then the teacher asks the child to name the objects that are in front (right, left, behind) of him. Asks the child to show his right and left hand.
The ability to highlight and designate spatial relationships (“right” - “left”) in words.Exercise “Left, Right.”
Invite the children to color the clothes of the skier going to the right with a blue pencil, and the one going to the left with a red pencil.
- Which direction is the skier in red going? (left).
- In blue clothes? (to the right).
The ability to distinguish and correctly name parts of the day, their sequenceGame "When does this happen?"
Pictures depicting parts of the day, nursery rhymes, poems about different parts of the day.
Listen carefully to the nursery rhyme, determine the time of day and find the corresponding picture. Next, the teacher reminds the child of all parts of the day (using a poem).
The ability to understand time relations in the present, past and future tenses: today, yesterday, tomorrow.Exercise “Answer correctly”
The teacher speaks to the children:
- What do you have to do today? (Walk, have lunch, sleep).
- What did you do yesterday? (Drawing, playing, watching TV).
- What are you going to do tomorrow? (Come to kindergarten, go to the pool, go on a visit).
Formation of the concepts “fast” - “slow”.Game "Guess who's faster"
- The lion and the turtle argued who would be the first to reach the palm tree.
- Color the one who runs to the palm tree first. (A lion).
-Who was painted? (Leo).
- Why? (Because the turtle walks slowly and the lion runs fast).

Thematic control on FEMP

Thematic control over the work of preschool teachers, aimed at developing mathematical knowledge, skills and abilities in students, pursues certain goals.

  • To identify the degree of effectiveness of pedagogical work using the following methods:
    • self-analysis of professional skills;
    • interview with teachers;
    • analysis of self-education of educators;
    • analysis of the content of the subject-development environment, information stands for parents;
    • diagnostics of children's mathematical development;
    • parent survey.
  • To promote the exchange of teaching experience, to popularize methods and techniques that have demonstrated a high level of effectiveness.
  • Provide methodological assistance to teachers who encounter problems in their work on the mathematical development of children.

Thematic control is carried out by a special commission consisting of representatives of the kindergarten administration and teachers based on the order of the head of the preschool educational institution and the control plan.

Table: example of a thematic control plan for FEMP

44 years old. Higher pedagogical education, specialty: history and law, postgraduate study. Work experience in higher education - 22 years. The scope of professional activity is conducting lectures and seminars, educational, methodological and scientific work (there are scientific publications).

Control issuesControl methodsWorking materialsResponsible
1. Survey of the level of development of cognitive interests and curiosity in children.Observation ped. process.GCD analysis map (children's activities).Art. teacher
Studying children's cognitive interest.Questionnaire “Studying the cognitive interests of children”, the “Little Curiosity” technique.
2. System for planning educational activities with children in groups.Analysis of work programs for working with children on this topic.Card for checking work programs with children.Art. teacher
3. Level of professional skills of educators.Analysis of the organization and conduct of open events.Self-reflection map of an open event on children's cognitive development.Head of preschool educational institution,
Art. teacher
Analysis of teachers' professional skills.Prof. self-esteem card skill of the teacher.
4. Creation of conditionsAnalysis of the conditions for the cognitive development of children according to the Federal State Educational Standard for Education.Map of the survey of conditions for the cognitive development of children according to the Federal State Educational Standard for Education. Regulations on the competition for the best methodological support of the Center for Entertaining Mathematics.Art. teacher,
educational psychologist,
teacher speech therapist
Review-competition of educational games and entertaining mathematics center.
5. Working with parentsParent survey.Questionnaire for parents on this issue.

Nomination “Methodological work in preschool educational institutions”

Tasks: consolidate the ability to distinguish geometric shapes, consolidate the concept of “long - short”, learn to compare the number of objects, consolidate colors, develop attention, memory, imagination, emotions.

Equipment: animal toys - mouse, frog, bear; tower, mushrooms, floor constructor.

Handout: strips of different lengths, geometric shapes, cards with a picture of a mouse for each child.

Preliminary work: acquaintance with the fairy tale “Teremok”, didactic games “One - many”, “Find the figure”, “Long - short”.

Integration of educational areas:“Socio-communicative development”, “artistic and aesthetic development”, “speech development”, “cognitive development”, “physical development”.

Progress of the lesson

Educator:

There is a teremok-teremok in the field
He is not short, not high, not high.
Like a mouse running across a field,
I saw Teremok.

What fairy tale are we talking about?

Children: Teremok.

Educator: Now let's see if we guessed correctly. (The teacher removes the blanket under which the tower stands; two “paths” of ribbons lead to the tower, one long, the other short).

The children sit down at the table.

MUSIC FOR THE MOUSE, music by A. Serov

A mouse appears and says: “I was running, running to the tower, but I got lost, confused, there are two paths leading there, and I don’t know which one I should take to get to the tower faster.

Educator: Children, look what paths lead to the tower?

Children: Long and short.

Educator: Which path is faster for the mouse to get to the tower, the long one or the short one? How do you think?

Children: The short one.

Mouse:, but how do you find out where the shortest path is?

Children: You need to put one strip on top of another and compare.

Educator: On your tables, each has 2 strips, “paths”, they are different in length, let’s show the mouse how to find a short path. (Children put a short strip on a long one).

Educator: And place the mouse that is on your tray on the short strip. Well done, guys, you correctly pointed out the short path, so the mouse got to the little house, and began to live there and sing songs.

BACKGROUND MUSIC FOR THE TEREMK relaxation music.

Educator:

There is a teremok-teremok in the field.
He's not low, not high, not high
A frog jumps through the swamp.
She wants to live in the mansion.

MUSIC FOR A FROG music by M. Rauchwerger. (A frog appears and cries):

Trouble! Help, kids! While I was jumping, my handkerchief caught on a branch and tore. I don’t know what to do now...

Educator: Guys, how can we help the frog?

Children: Make a patch.

Frog cries: But I don’t know how to make patches, I’m confused... Help me, please!

Educator: Well, guys, let's help the frog? Let's show her how to select a patch. Look, you have geometric shapes on your trays, pick up a patch for a scarf.

Children select a patch and discuss the result.

Frog: Thank you, what beautiful scarves you turned out. Now I know how to patch a handkerchief, I’ll go to the little house and patch up my handkerchief. Goodbye!

Educator: Now the frog happily jumped straight to the tower and began to live there with the mouse.

There is a knock on the door.

Educator: Hush guys, someone has come to us.

MUSIC FOR A BUNNY music by K. Cherny. A bunny comes in (a child of senior preschool age).

Bunny: Hello guys!

Educator: Hello, Bunny! Why are you so sad?

Z: I galloped and galloped to your fairy meadow and carried baskets full of mushrooms, but I was in such a hurry that I lost almost all the mushrooms along the way.

Educator: Don’t be upset, bunny, look, your basket is not completely empty. Guys, look what's in the basket?

Children: Mushroom.

Educator: How many mushrooms are in the basket?

Children: One.

Educator: Let's help the Bunny find and collect mushrooms in a basket.

BACKGROUND MUSIC FOR THE GAME “FIND THE MUSHROOK” Russian folk song “Like ours at the gate”. Children find the rest of the mushrooms scattered throughout the group and collect them in a basket.

Educator: Okay, we found all the mushrooms. Now, look how many mushrooms are in this basket? (the teacher shows a basket with one mushroom)

Children: One.

Educator: How many are there?

Children: Few.

Educator: And here? (Shows a basket with a lot of mushrooms)

Children: M nogo.

Bunny: Thank you for helping me collect mushrooms!

Educator: Bunny, now you are in a good mood, play with us!

Bunny: With pleasure, I really like to play.

Educator: stand in a circle. (Children stand with the bunny in a circle, hands down)

Physical education lesson “Bunny”.

Once upon a time there were bunnies (bounce in place, hands in front of the chest, brushes down)
At the edge of the forest, (arms straight up, fingers apart-"tree" and swing)
Once upon a time there were bunnies (bouncing in place)
In a little white hut, (joined hands above head “house”)
We washed our ears (we pretend to wash our ears)
We washed our little paws (we rub our left hand with our right hand and vice versa)
Bunnies dressed up (we squat with turns to the side)
We put on slippers (we pull them forward one by one and put themon the heel of either the left or the right foot).

MUSIC FOR THE BEAR music by M. Rauchwerger.

Educator: Oh, who is that walking through the forest?

Children: Bear!

Bear: Let me into the mansion!

Educator: Will the bear fit in the tower?

Children: No!

Educator: Why?

Children: The bear is very big, but the tower is small.

Educator: What to do? After all, it will be bad for the bear to live on the street! How can we help him?

Children: Let's build a new house, big, so that there is enough space for everyone.

Children are building a big house from a floor constructor.

Galina Borzyakova
Summary of the lesson on FEMP for children 3–4 years old “Counting. Geometric figures"

Lesson notes on the formation of elementary mathematical concepts for children 3-4 years old

Target: creating conditions for the development of mathematical knowledge in children 4 years old

Tasks:

Consolidate knowledge about geometric shapes; skill improvement accounts within 5;

Formation of cognitive interest in mathematics;

Improving spatial orientation skills;

Develop logical thinking, memory, attention; develop cognitive interest;

Fostering a positive attitude towards participation in class, collaboration skills.

Equipment: counting sticks, ropes, flat image of a train, didactic strips with geometric shapes, geometric paper shapes, animal toys.

Preliminary work. Learning a poem by Yu. Sklyarova "Locomotive". Performing rhythmic movements to a poem.

Progress of the lesson:

Q. Guys, I suggest you go on a trip. How can you go on a trip? (Answers children) . Or you can go on a train! But the problem is, we don’t have a train? How to be? …. (Answers children) . Let's make a fairy-tale train together! A train can be made from figures, let's name everything figures that we know. (The teacher shows figures, the children call figures). Try to build your own little train out of figures yourself.

(If the children cannot cope with the task on their own, the teacher places a flat image of a train on the board).

A game "Be careful".

P.: - Guys, it’s boring to travel without friends, let’s take animals on a trip and ride together... But to make it more fun, I suggest you first play and get to know our animals (the teacher displays pet toys in front of the children). How many friends! Is there enough room for everyone on our train? To find out how many animals there are in total, what do we need to do? (Answers children) . Calculate correctly! (The teacher asks each child to count one by one, and then everyone together.)

Children: 1, 2, 3, 4, 5 for a total of five.

P.: - Well done!

While we were getting ready to go, our little eyes wanted to fall asleep!

(The teacher invites the children to close their eyes and not peep, and he arranges the animals around children).

P.: - Our eyes woke up, where are our prankster friends? They all ran away. Let's look for them! Where do you see animals?

1st child. There is a bunny standing on the carpet below.

2nd child. There is a bear cub standing behind.

3rd child. There is an elephant on top of the closet.

4th child. There is a fox ahead.

5th child. Next to the fox is a squirrel

P. - Our locomotive is setting off! Everyone take your seats(children stand one after another, putting their hands on their shoulders and perform actions after the teacher).

The locomotive is moving, moving

Past the fir trees and birches,

Past the morning fields

Past the red bullfinches.

Past oak and pine,

Past summer and spring.

Chug-chug, chug-chug puffs.

And the wheels are knocking

Whistles loudly tu-tu-tu!

Dispersing the kids.

Passengers here and there

He takes us around the cities.

The teacher asks the children to complete tasks.

Make a square and a triangle from sticks. (How many sticks will it take to make a square, and how many will it take to make a triangle)

Show the sides of the square and triangle. How many angles does each have? count the figures?

Make a circle and an oval from the laces. Is it possible to make them out of sticks? Why? How are these similar? figures?

P. Guys, I really enjoyed traveling with you! Did you like it? (Answers children) . What did you like most? (Answers children) .

And I really liked it too, but most of all I liked it when...

Publications on the topic:

Summary of the lesson on FEMP in the middle group “Geometric Figures” Lesson notes on FEMP in the middle group. Topic: "Geometric shapes." Educational tasks: - consolidate the names of geometric shapes;

Summary of the final lesson in mathematics in the middle group “Travel in a hot air balloon. Geometric figures. Check" Summary of the final lesson in mathematics in the middle group. “Travel in a Balloon” Purpose: to generalize, consolidate, systematize.

Municipal preschool educational institution kindergarten No. 20 “Rosinka” of a combined type in the Istrinsky municipal district.

Abstract of GCD for REMP “Geometric figures. Counting to 4. Outdoor games" Municipal preschool educational institution "Kindergarten No. 93" Abstract of GCD for the development of elementary mathematical concepts.

Notes on FEMP in the preparatory group “Introduction to the notebook. Count within ten. Geometric figures" Educational area - cognitive development Integrated educational areas - speech development, physical development Objectives:.

Goal: repeat ordinal counting up to eight, numbers and figures 1-8, repeat geometric shapes, train mental operations. Progress of the lesson:.