Belgian teacher elementary school George Cuizener (1891-1976) developed a universal didactic material for the development of mathematical abilities in children. In 1952, he published the book "Numbers and Colors", dedicated to his study guide.

Kuizener's sticks are a set of counting sticks, which are also called "numbers in color", "colored sticks", "colored numbers", "colored rulers". The set contains tetrahedral sticks of 10 different colors and lengths from 1 to 10 cm. Kuizener designed the sticks so that the sticks of the same length are made in the same color and represent a certain number. The longer the stick, the greater the numerical value it expresses.

Kuizener counting sticks produced by manufacturers differ in the number, colors and material (wood or plastic). For starters, you can use a simplified set of 116 sticks. It contains 25 white sticks, 20 pink, 16 blue, 12 red, 10 yellow, 9 purple, 8 black, 7 burgundy, 5 blue and 4 orange. Kuizener's sticks are mainly intended for classes with children from 1 to 7 years old.

Game tasks of colored sticks

counting sticks Kuizener are a multifunctional mathematical aid that allows you to form a concept "through the hands" of a child. number sequence, the composition of the number, the relations "more - less", "right - left", "between", "longer", "higher" and much more. Set promotes development children's creativity development of fantasy and imagination, cognitive activity, fine motor skills, visual-effective thinking, attention, spatial orientation, perception, combinatorial and design abilities.

At the initial stage of classes, Kuizener's sticks are used as playing material.. Children play with them, as with ordinary cubes, sticks, constructor, in the course of games and activities, getting acquainted with colors, sizes and shapes.

At the second stage, sticks are already acting as a guide for little mathematicians.. And here children learn to comprehend the laws of the mysterious world of numbers and other mathematical concepts.

Games and activities with Kuisener's sticks

1. Get to know the chopsticks. Together with the child, examine, sort, touch all the sticks, tell what color and length they are.

2. Take as many sticks as possible in your right hand, and now in your left.

3. You can lay out paths, fences, trains, squares, rectangles, pieces of furniture, various houses, garages from sticks on a plane.

4. We lay out a ladder of 10 Kuizener sticks from the smaller (white) to the larger (orange) and vice versa. Walk your fingers along the steps of the ladder, you can count out loud from 1 to 10 and back.

5. Lay out the ladder, skipping 1 stick. The child needs to find a place for the missing sticks.

6. You can build three-dimensional buildings from sticks, like from a designer: wells, turrets, huts, etc.

7. Lay out the sticks by color, length.

8. "Find a wand that's the same color as mine. What color are they?"

9. "Put as many sticks as I have."

10. "Lay out the sticks, alternating them in color: red, yellow, red, yellow" (in the future, the algorithm becomes more complicated).

11. Lay out a few Kuizener counting sticks, invite the child to remember them, and then, while the child does not see, hide one of the sticks. The child needs to guess which wand has disappeared.

12. Lay out a few sticks, invite the child to remember their relative position

and swap them. The kid needs to get everything back.

13. Place two sticks in front of the child: "Which stick is longer? Which is shorter?" Lay these sticks on top of each other, trimming the ends, and check.

14. Lay out a few Kuizener sticks in front of the child and ask: “Which is the longest? Which is the shortest?

15. "Find any stick that is shorter than blue, longer than red."

16. Arrange the sticks into 2 piles: one has 10 pieces, and the other has 2. Ask where there are more sticks.

17. Ask to show you a red stick, blue, yellow.

18. "Show the wand that it is not yellow."

19. Ask to find 2 absolutely identical Kuizener sticks. Ask: "How long are they? What color are they?"

20. Build a train from wagons different lengths, starting with the shortest and ending with the longest. Ask what color the car is fifth, eighth. Which wagon is to the right of blue, to the left of yellow. Which car is the shortest, the longest? Which cars are longer than yellow, shorter than blue.

21. Lay out several pairs of identical sticks and ask the child to "put the sticks in pairs."

22. Say the number, and the child will need to find the corresponding Kuizener stick (1 - white, 2 - pink, etc.). And vice versa, you show a wand, and the child calls the right number. Here you can lay out cards with dots or numbers depicted on them.

23. From several sticks you need to make the same length as burgundy, orange.

24. From several identical sticks, you need to make the same length as orange.

25. How many white sticks can fit in a blue stick?

26. Using an orange stick, you need to measure the length of a book, pencil, etc.

27. "List all the colors of the sticks on the table."

28. "Find the longest and shortest stick in the set. Put them on top of each other; and now next to each other."

29. "Choose 2 sticks of the same color. What are their lengths? Now find 2 sticks of the same length. What color are they?"

30. "Take any 2 sticks and put them so that the long one is at the bottom."

31. Place three Cuisener's burgundy counting sticks parallel to each other, and four of the same color on the right. Ask which figure is wider and which is narrower.

32. "Put the sticks from the lowest to the largest (parallel to each other). Attach the same row on top of these sticks, only in reverse order." (It will turn out a square).

33. "Place a blue stick between red and yellow, and orange to the left of red, pink to the left of red."

34. "With your eyes closed, take any stick from the box, look at it and name its color" (later you can determine the color of the sticks even with your eyes closed).

35. "With your eyes closed, find 2 sticks of the same length in the set. One of the sticks in your hands is blue, and what color is the other then?"

36. "With your eyes closed, find 2 sticks of different lengths. If one of the sticks is yellow, can you determine the color of the other stick?"

37. "I have a wand in my hands a little longer than blue, guess its color."

38. "Name all sticks longer than red, shorter than blue", etc.

39. "Find any two sticks that are not equal to this stick."

40. We build a pyramid from Kuizener's sticks and determine which stick is at the very bottom, which is at the top, which is between blue and yellow, under blue, above pink, which stick is lower: burgundy or blue.

41. "Lay out one of the two white sticks, and put a stick corresponding to their length (pink) next to them. Now we put three white sticks - they correspond to the blue one," etc.

42. "Take sticks in your hand. Count how many sticks you have in your hand."

43. What two sticks can be used to make red? (number composition)

44. We have a white Kuizener counting stick. Which stick should be added so that it becomes red in length.

45. Which sticks can be used to make the number 5? (different ways)

46. ​​How long is the blue stick longer than the pink one?

47. "Make two trains. The first of pink and purple, and the second of blue and red."

48. "One train consists of a blue and a red stick. From white sticks, make a train longer than the existing one by 1 car."

49. "Make a train out of two yellow sticks. Build a train of the same length out of white sticks"

50. How many pink sticks can fit in an orange one?

51. Lay out four white Kuizener counting sticks to make a square. On the basis of this square, you can introduce the child to shares and fractions. Show one part of four, two parts of four. Which is larger - ¼ or 2/4?

52. "Make of sticks each of the numbers from 11 to 20."

53. Lay out a figure from Kuizener's sticks, and ask the child to do the same (in the future, you can cover your figure from the child with a sheet of paper).

54. The child lays out the sticks, following your instructions: "Put the red stick on the table, put the blue stick on the right, yellow on the bottom," etc.

55. Draw on a piece of paper different geometric figures or letters and ask your child to put the red stick next to the letter "a" or in a square.

56. From sticks you can build labyrinths, some intricate patterns, rugs, figures.

If there are few proposed game-tasks, you can lay out different figures according to pictures-diagrams. Ready-made schemes can be found in the book by V. Novikova and L. Tikhonova “Developing games and exercises with Kuizener sticks. Handout". According to this manual, you can make a flat version of cardboard sticks (cut them out of a colored tab). If you stick such cardboard strips on magnet strips, you can play them by attaching them to a refrigerator or magnetic board.

Good afternoon, dear visitors of our site! Do you know why it is so useful to collect various figures from counting sticks for preschoolers and do it regularly? All because they develop logic, imagination, fine motor skills, the ability to concentrate, introduce the child to the concept of "symmetry" and basic mathematical skills.

How can counting sticks be used? With their help, you can easily:

• count;
• sort;
• lay out letters and words, numbers and even examples;
• create geometric shapes;
• lay out the outlines of objects, creating pictures;
• make transformations.

So, let's move on to practical exercises and activities with this simple but very visual material.

Paths for the little ones

A two-year-old child can already be explained what “short” and “long”, “narrow” and “wide” are. Place one stick and attach another to its end. Tell the baby that now the path has become longer. How to make it even longer? Let the kid himself add one more element. Make 2 parallel lines in this way. Now you can drive a car along such a path.

We consider details and geometric shapes

Assemble from multi-colored sticks yourself or offer the child to make some object, for example, a square house with a triangular roof. One wall of the house can consist, for example, of 3 parts. In this case, you can make a window and a door. Now let the kid count how many red, blue or green sticks you used, how many squares and triangles it took to create a house.

Learning letters

In the process of learning the alphabet, ask the baby to lay out the letters that you have learned from the sticks. He can do it on his own or with the help of a contour. This will allow him to better remember what the letters look like, prepare his hand for writing and work with the sizes and shapes of the details.

Find what has changed

Collect some kind of picture from sticks, for example, a Christmas tree. Ask the child to turn away, and at this time add another tier to the tree. The task of the baby is to see and voice the changes. This exercise will perfectly train his memory and attention. Switch roles for variety. Let the child also come up with figures and changes for you, and you look for differences.

do as i do

You lay out any figure from the sticks. You need to start with the simplest, gradually complicating the task. Your baby should turn away at this time. Then you allow him to look at the picture for 5 seconds, after which you cover the figure with a piece of paper. The task of the child is to lay out exactly the same figure from memory. Your images may start out in single color, then 2-color, and later multi-color. Ideally, the baby should reproduce both the shape and colors of the picture.

Getting to know the basics of geometry

Laying out simple geometric shapes, it is convenient to introduce the child to the concepts of "side", "angle", "length", "width". Show him with a visual example how a square differs from a rectangle and how to get a rhombus from two triangles. Place 2 sticks in sequence and draw a circle around them. Now tell the baby that 2 sticks are the diameter of the circle, and one is its radius.

Post images of items

Such activities are based on the child's ability to work with the scheme and build associations. Ready-made solutions can be downloaded from the Internet and offered to the child as a template or give free rein to his imagination. Laying out the subject, the baby shows observation and attention to detail. It is also very useful to accompany the work on the image with a short rhyme describing the subject. For example:

steamer

The big ship is sailing
The captain leads him.

Airplane

I saw an airplane in the clear sky,
Too bad I never flew it.

Boat

The boat is on the bank of the river
A fisherman is fishing from a boat.

Dandelion

He is the radiant sun
That he is a fluffy cloud,
Didn't want to wait for summer
The wind blew - flew around!

Carrot

I grow in the ground in the garden,
Red, long, sweet.

Smile

Blooms on the face
Grows with joy.

Tasks for ingenuity and logic

For older children preschool age The following tasks are perfect for developing logic and ingenuity:

How to assemble 2 squares from 7 parts? And 3 squares out of 10 sticks?

How to make 2 triangles out of 5 sticks? And 3 triangles of 7 elements? Thinking, dear adults? The figure will look like this:
And how to make 2 squares of 10 parts? Assemble a large square, the side of which consists of 2 sticks, and then build a small square inside, adding 2 more parts.

How to remove 4 sticks so that 3 squares remain?

And how to shift 3 sticks so that the cow waved its tail and looked back?

And how do you like this task in poetic form?

We will take 6 sticks
And build a new house!
If 2 is shifted,
They cannot live in that house.
It is no longer a house, but a flag.
Who can do so?
Wanted to dig
I need to remove the wand
And transfer another.
So I'll get a shovel!
Do you have it ready?
Let's move the stick again
Let's take one downstairs
And put it in a box.
The chair is out!
Rest!
How many sticks? Consider.
Have you counted?
There are four of them!
Spread your legs wider
The back must be laid -
The chair will serve as a table!
If you're not tired
Let's continue our work:
Let's make a road sign
Or a triangular flag.
2 shifted again
And we got the arrow!

Counting sticks for comprehensive development and interesting leisure

Have we convinced you that the function of colored counting sticks is not only teaching counting on the eve of the first class? You can have a great time with them, and you can start classes almost from the age of two. By regularly engaging with this material, your child will be able to:

• show imagination;
• operate with the concepts of "big", "small", "long", "short", "wide", "narrow";
• learn how to work with diagrams;
• learn colors;
• study the letters
• get acquainted with geometric shapes and their features;
• develop logic and ingenuity;
• show your creativity;
• learn to describe your image, that is, develop vocabulary.

We wish you fun activities and interesting ideas! See you soon!

Hello, Dear friends! Sukhikh Tatyana - the hostess of the blog - is happy new meeting. As promised, today I present to your attention material on the topic: games with counting sticks. It would seem a primitive device for counting, but how many possibilities it has! This didactic tool was used to develop unique teaching methods by famous scientists: Maria Montessori, Nikolai Zaitsev, George Kuizener…

Many of you Dear Parents, forget about the simplest and cheapest educational toys, which, if desired, can be made from waste material. The most primitive devices can give a tangible benefit to a child if they are introduced into the baby's home development program. Think sticks are just for counting? This is fundamentally wrong, their goals are much larger:

• The development of finger motor skills - even just sorting through multi-colored, better wooden sticks, children train the brain. I have already written a lot about motor skills, if you are interested, find articles on the site. From the simple operation of taking it out of the case and folding it back, to complex patterns of counting material, all these tasks play a huge role in training the brain through the fingers.
• During classes with this simple device, spatial orientation is formed, children learn the concepts of right-left, front-back, top-bottom.
• A variety of tasks with counting sticks require attention, visual-effective thinking, active thinking.
• By completing tasks with the help of colored assistants, the child learns color.
• Drawing up drawings, a preschooler activates creativity, design thinking, and imagination.
• And finally, their direct purpose is teaching elementary mathematics. Here the field of action is wide: counting, geometric figures, comparison of values, simple arithmetic.
• The sticks are also used as an aid to development different methods, for example, to Gyenes logic blocks.

What are the best sticks to choose? Here, for example, I found some good things in UchMag:

• Counting sticks and numbers, 72 elements - a wooden set in a box;
• Pleasant to the touch bright counting sticks in a case - 50 pcs.
• It is very nice to have Kuizener's sticks at home - a universal author's material, there are elements of different colors and different lengths in the kit. Later I will tell you how to play and teach kids with them.

How to start using counting sticks in fun?

There are two steps for this simple material- initial, when bright smooth things are used as a playing tool. And the second stage is a mathematical, higher level, which involves mastering the basics of mathematics with the help of colored assistants.

IN kindergarten we start working with a counting instrument by getting to know it: children examine sticks, learn to determine their color, lay them out on a table, put them in a box. It would be nice to make a hole in the lid of the box so that the child pushes each item into the hole - this is a great exercise for the fingers. Then we collect as many sticks as possible in each handle, then in the other, and aerobatics - with both handles.

Played enough, proceed to the geometric design. Laying out, including Kuizener's counting material, is the most enjoyable way for preschoolers to learn the initial geometry:

• Laying out geometric shapes on the model of an adult: path, ladder, fence, squares, rectangles. Then we complicate: a house, a train, a car, a butterfly, a garage, etc. It is even more interesting to play with Kuizener's material, the sticks there are large, you can build three-dimensional figures from them.
• Laying out according to the picture: there is an image of a mushroom, a flower, the sun, and the child must guess how to lay it out of the sticks.

And in combination with the Gyenes logic blocks, the child can lay out anything, since these blocks are geometric shapes of different colors: a circle, a square, a rectangle, a triangle in two sizes and two types of thickness, ideal for preschool children who are familiar with geometry.

By the way, if you're interested methodological material Gyenesh and Kuizener, I offer the following literature:

• "Demonstration material for Kuizener's counting sticks and Gyenesch's logic blocks" - here are recommendations on how to work with these techniques, as well as sample notes of classes;
• "Logical and mathematical development of preschoolers: games with Gyenesh logical blocks and Kuizener's colored sticks" - this is a unique manual, there are didactic materials for the logical and mathematical development of preschoolers;
• “We play with Gyenesh logic blocks. Training course for children 5-6 years old " – describes 24 classes in senior group in logic and mathematics.

Entertaining games with magic wands for preschoolers

Below I will give schemes for working with Kuizener's counting material, however, we play with ordinary matches, toothpicks, sticks in the same way:

• We build a ladder of 10 elements on the table from smallest to largest. We step with our fingers along the crossbars and count back and forth;
• Now we lay out the ladder with the missing elements: the child fills in the gaps;
• Mirror reflection: adult selects elements certain length, colors, stacks them, and the child repeats in the same way;
• Oral tasks: lay out three red sticks, put them in a row, lay out a path, a triangle, etc.;
• Remember the figure: an adult constructs something from sticks, invites the baby to carefully consider, turn away. An adult changes something in the structure, the child names that and restores the structure;
• Templates: an adult lays out a figure and asks to add 2 more elements to the template, then 3, etc.
• Shorter-longer: we work with colored sticks. An adult takes a stick, for example, red and invites the baby to find a green one, but shorter than red. By the same principle, we guess to find sticks with a different sign.
• More-less: we lay out the sticks into two unequal piles, ask you to name where in which pile there are more (less) sticks;
• Please take any 2 elements, but not blue ones. Or find 2 sticks of the same color but different sizes;
• 38 parrots: we measure the length of the typewriter, table with short sticks. We find out how many short sticks "fit" in a long one, etc.;
• Right-left: find the shortest and longest sticks, put them so that the long one is on the right and the short one is on the left (front-back, top-bottom, etc.);
• We make a ladder and invite the child to add elements to make squares or rectangles;
• Children in preparatory group ready for such tasks: with your eyes closed, find two sticks of the same length, put them on the table next to each other. If you spend enough time with younger age playing with Kuizener's sticks, the child can even find sticks of a certain color with his eyes closed. The fact is that these sticks are grouped by size and color.

Making it harder for older kids

It's time to complicate developmental tasks, they can be offered not only to older preschoolers, but also to younger students:

• Make a train where the first car consists of 4 sticks, the second - of 6, the third - of 8;
• Take as many sticks in your hand as possible. Without opening your palm, count them. Lay out the corresponding numbers from the sticks;
• Lay out cards or cubes with numbers, the child puts the appropriate number of sticks nearby;
• We learn the equal sign: we put 5-6 sticks, we invite the child to put the same amount next to it. Between the two piles we put two sticks in parallel;
• To a certain number of sticks, you need to add so many to get some number. For example, we add 2 sticks to 3, we get 5. So let's learn simple addition;
• Puzzles with sticks are great: we lay out the figure and invite the child to add or remove sticks so that another figure is obtained. There are diagrams on the Internet, you can print for yourself;
• In "collaboration" with the Gyenes blocks, we propose to create a city with roads, houses, bridges and play out a whole story.

I think it turned out to be a decent filing cabinet for home use, what do you think? Yes, and in the preschool educational institution it will be useful. Of course, there are many more exercises and creative tasks with counting sticks, but you can’t fit everything into a more or less readable article.

Subject: Problem solving. Working with counting sticks.

Target: Introduction to simple arithmetic problems using counting sticks.

Tasks:
- Continue to learn how to compose and solve simple arithmetic problems for adding and subtracting numbers within 10.
- Introduce children to the structure of the task.
- Learn to accurately write down the solution of the problem in a notebook.
- Continue to teach children to answer questions.
- Develop attention, memory and thinking.
- Cultivate independence, perseverance and accuracy in work.

Material: counting sticks (for each child, 20 counting sticks of different colors - 10 green, 5 pink and 5 orange); a simple pencil, a notebook in a large cage - in children; for the teacher: a set of numbers from 1 to 10 and a ball for the game.

Methods and techniques: explanation, clarification, display, questions to children, help, evaluation, praise.

Course progress.

Organizing time

Educator:

Good morning!
Sit right guys
Listen carefully!
Are you all ready for the job?

Children: Yes!

Educator: Hello math!

Lesson progress:

Educator:

“Guys, today our primary school teacher is visiting us ...”

Today in our lesson they will see that you are funny, quick-witted and courageous guys, you know how to count, compare and solve problems well. If you are not afraid of difficulties, then let's start! .

Children line up in a column and take turns answering the questions of the teacher:

1. What day of the week is it today? Yesterday? Tomorrow? 2. How many days are there in a week? (7) Name them 3. How many days off are there in a week? (2)

4. How many fingers are on one hand? (5)

5. How many suns are in the sky? (1)

6. How many paws do two dogs have? (8)

7. How many fingers are on two hands? (10)

8. How many suns are in the sky at night? (0)

9. How many ears do two cats have? (4)

10. How many eyes does a traffic light have? (3)

Guys, today we will learn how to compose and solve problems. Take green counting sticks and place 6 counting sticks in front of you. Count how many sticks you got?
- That's right, 6 green counting sticks.
- Now take one orange or pink stick and put it next to the green ones.
How many counting sticks are in front of you?
- Correctly 7 counting sticks.
- Let's come up with a problem that we just did.
- In front of you lay 6 sticks. You put in 1 more stick. How many counting sticks are there now? This is the task we have with you.
- Guys, in the problem there is always a condition and a question.
- The condition of our task is this: we had 6 counting sticks. We have added 1 more stick.
- Which of you will be able to repeat the condition of the problem?
- Well done guys.
- The condition is little story. There are always numbers in the condition. What are the numbers in this problem?
- The numbers 6 and 1 are correct.
- Still in the task there is a question. What is the question in this problem?
- How many counting sticks?
- Guys, does everyone understand what a condition and a question are in a problem?
- Let's repeat the condition and the question of our task once again.
- Condition of the problem: there were 6 sticks, 1 more stick was added.
- Question of the problem: How many sticks have become?
Let's write down our task in a notebook.
(the teacher lays out or writes down the numbers on the board).
6 + 1 =
- There is an answer in the problem.
- What is the answer to this problem?
- That's right, 7. Write down the solution to the problem. 6 + 1 = 7

- Place 9 counting sticks in front of you.
- Now remove 4 sticks.
How many counting sticks do you have left?
Let's repeat the problem with you.
- Condition of the task: We laid out 9 counting sticks. Then we removed 4 sticks.
- What is the question of the task?
Q: How many counting sticks are left?
- Guys, let's write the problem in your notebook.
9 – 4 =
- What is the answer to this problem?- That's right, 5. Write down the solution to the problem.
9 – 4 = 5
- Let's solve another problem with you.
- Place 7 green counting sticks in front of you.
- Add 3 more sticks of a different color.
- Guys, this is the condition of the problem.
- Which of you can say the question of this problem?
Question: How many counting sticks did you get?
- Write the problem in your notebook.
7 + 3 =
- What is the answer to the problem?
- That's right, 10. Write it down.
7 + 3 = 10

- Let's solve the last problem for today.
- Place 8 counting sticks in front of you.
- Now remove 5 sticks.
- This is the condition of our task.
- What is the question of this task?
Q: How many counting sticks are left?
- Write the problem in your notebook.
8 – 5 =
- What is the answer to this problem?
- That's right, 3. Write down the solution to the problem.
8 – 5 = 3
- How did you solve this problem?
- That's right, you took away 5 sticks from 8.
- What answer did you get?
- There are 3 sticks left.
Now let's play a little game with you.

The game "What number is gone" is being played.
The teacher lays out a number on the board from 1 to 10. The children close their eyes. The teacher removes some number. Children raise their hands and say which number is gone. You can complicate the game and remove 2 numbers.

Fizminutka. "Who is the most attentive"

Target: to consolidate the ability of children to perceive the task by ear (the number of claps), to compare actions with words; develop attention and speed of reaction.

Stroke: the teacher explains the rules of the game to the children, for one clap the children walk around the room, for two clap they stand in the pose of a stork, for three clap - in the pose of a frog. The winner is the one who has never made a mistake, i.e. the most attentive.

caregiver : Guys, with the help of counting sticks, we solved problems, and now let's play a game"Lay out the geometric figure."

It can be geometric shapes, houses, or just snowflakes.
At the end of the game, I praise all the children and mark the most beautiful, neatly laid out figures.

Then there is a didactic game

"Name the geometric shapes, and add shapes from them.

Game "Butterfly on a flower"

The game "What, where?"

Target: to consolidate the ability of children to navigate in space, to distinguish between right and left side, use words and prepositions (right, left, in front, behind; above, below, between); develop dexterity, speed of reaction.

Material: ball.

Stroke: The game is played in a circle with a ball. The teacher takes the ball, throws it to one of the children and asks: “What is to your right?” The child catches the ball, answers the question and becomes the leader.

Questions to the children: “What is above your head? Who is ahead of you? What's behind you? Who is on your left? Who is on your right?" Etc. The game is played at a fast pace.

(on the board a large illustration for the fairy tale "Turnip")

The turnip sat firmly in the ground,
One cannot cope.
And after the old grandfather
The tail is long stretching.
All came to one.
How many were there in total? (6)

Educator: What fairy tale are these characters from?

Children: From Russian folk tale"Turnip"

What is the value of a grandmother? (second)

And grandfather? (first)

Who is third? (granddaughter)

Who stands between the granddaughter and the cat? (Bug)

And who is standing last? (mouse)

Educator: Guys, what does this fairy tale teach?

Children: Friendship, the need to help each other, etc. ( children's answers)

Educator: “Well done guys, you are all very attentive! You did an excellent job with all the tasks.

Guys, what did we do in class today.
- That's right, they solved problems, laid out counting sticks, played games, found the missing number and called the neighbors of the number.
- Did you enjoy solving problems?
- Each task must have a condition and a question.
- I liked the way you did today.

With the help of various teaching aids, parents can develop their children at home and prepare for school on their own. One of them is Kuizener's colored counting sticks for teaching numbers in the form of a game. Such a manual contributes to the development of many useful skills, it is multifunctional, easy to use for adults and kids. Working with blocks for children is always very exciting. Check out their characteristics, examples of exercises.

What are Kuizener sticks

This manual takes its name from the Belgian teacher who created it. George Kuizener developed special blocks that help to master the laws of mathematics. The game material has a second name - "numbers in color". The kuisener set includes canes of 10 different colors and sizes from a centimeter to ten. The set is a complex mathematical set.

Description of the technique

The kuizener set is used to develop a child's interest in mathematics in game form at home, this is the main goal. Logic games Curious kids will love it. Teaching mathematics in a playful way with the Kuizener set is based on the principle of visibility. If a child sees an object and can even feel it, it will be much easier for him to understand counting science. It will also be easier for parents to explain mathematics to their child with the help of visual aids. didactic aids. Characteristics of the Kuizener sticks that the child remembers and distinguishes:

• color;
• the concept of a numerical value;
• length.

What can you teach a child

The main task of the kuizener set is to help the child get acquainted with mathematics. However, with its help, the baby will be able to learn much more. He can learn:

• make colored numbers and letters, while matching symbols with concepts;
• distinguish how objects are located in space (front and back, right and left, between, middle, bottom and top);
• mathematical concepts (number, figure, figure, more and less, equally, etc.);
• basic math skills: addition and subtraction;
• disassemble numbers into components;
• understand what quantity is, how numbers and numbers relate;
• determine the previous and next numbers for the current one within the first ten.

Cuizener's colored counting sticks - a characteristic of developing material

What is a set? Kuizener sticks are parallelepipeds made of plastic or wood. They are painted in different colors. Each shade has its own length (1-10 cm) and its number from one to ten. By similar colors, the bars are combined into families or classes of the same multiplicity. There are five such groups in total. The meaning of the color and length of the bars should be told in more detail.

Number of counting sticks in the set

There are different size kits. In the simplest 116 pieces, but it is preferable to buy those in which there is more material. For example, there are 241 of them in the classic set of counting aids. This will significantly expand the list of games and tasks that you can offer your child. Quantity of each color in a set of 116 Cuisener bars:

• white - 25;
• pink - 20;
• blue - 16;
• red - 12;
• yellow - 10;
• purple - 9;
• black - 8;
• burgundy - 7;
• blue - 5;
• orange - 4.

Color spectrum

The selection of sticks by shades was not made by chance. They are grouped according to the principles of similar shade and multiplicity. The length of the bar corresponds to the number assigned to it. All the relationships of the strips can be traced by examining the following table:

Age category

It doesn't matter how old the baby is. If it is interesting to play with blocks, then it is allowed to do it. As a rule, children show the first signs of curiosity towards them at the age of one. So, you can start developing games, gradually increasing their complexity. Interest in typing naturally fades away in a child approximately in the primary grades of school, when he has already mastered the basics of mathematics.

Educational games and activities with Kuisener sticks

The teaching method is suitable for a child of any age. Preschoolers will have a lot of fun playing with the set, older kids will find it useful as a math learning tool. Parents are offered a huge amount of materials in which ready-made games, scenarios, examples of tasks are presented. All this greatly facilitates the planning and conduct of classes with inquisitive children. What can be done with the allowance (in stages, depending on age) according to the Kuizener method:

1. Play. The child lays them out, sorts them out.
2. Compare as analogues of numbers. If you mark the difference between them, the child will clearly understand the difference between “more” and “less”.
3. Post the numbers.
4. Explain the principles of addition and subtraction.
5. Lay out with a mosaic, recognizing their numerical ratios, values.
6. Introduction to the essence of arithmetic operations. Gradually, you will develop your baby's mathematical abilities.

Familiarization with chopsticks for the little ones

At first, the baby will simply play with counting material, as if with cubes. Then offer to play Find Me. Give the child the following tasks in any order:

• list the colors of all the bars;
• find one that is longer than red and shorter than blue;
• find all the bars of the same shade;
• lay out strips of two colors, alternating - red-blue;
• find a bar NOT yellow;
• choose two strips and compare them in length;
• find the shortest one and name the color;
• take one of each shade.

Help your child draw some conclusions. He should emphasize that stripes of the same color are equal in size. To do this, take a couple of any bars and ask the baby questions:

1. Are these sticks different?
2. What is the same about them?
3. What's different?

Games with cuisener sticks

There are many entertaining tasks with blocks. You can purchase special materials with examples or even come up with games of your own. A few simple options:

1. "Guess." Hide one bar. The child guesses what color it is by asking yes or no questions. For example, “Is the missing stick shorter than the yellow one?”, “Is it longer than the black one?”.
2. "Make a picture." The kid, using the kit as a constructor, adds up certain images, starting with the simplest and then increasing in complexity: a square, a triangle, a fence, a house, a Christmas tree, etc.

Exploring colors

This is the first characteristic that should be introduced to the child. You can do this with the following games:

1. "Train". Let the child imagine that the Kuisener sticks are wagons. Ask your child to fold the colored striped "train" so that the orange "car" is to the left of the burgundy but to the right of the red.
2. Dictation. Name the colors for the baby, and he takes out the corresponding bars from the general pile and lays them out from left to right.

Sticks for counting

This stage of training is the most extensive. First you need to introduce the child to the sequence of natural numbers. Line up horizontal, vertical, symmetrical ladders. The kid will understand the basic law of the natural series: each number is one more than the previous one and less than the next. Then you can begin to master the direct and reverse counting using the example of the same ladders. Task options:

1. Give the child the third and fourth stripes (blue and red). Let him determine the larger numerical value and check the correctness by measuring the length of both with a white cube.
2. Move on to simple arithmetic. First, show with an example that if you put a red block, and next to it blue and white, you will get segments of the same length (4 = 3 + 1). Gradually complicate tasks. This is how you master addition. Then add examples in which one of the two sticks has disappeared. These will be subtraction examples.
3. Learn to multiply. Put one white stick in front of the baby, the child will voice its meaning "one". Add a second, ask how much it turns out. Gradually, you will master multiplication by two, showing the stripes longer and longer.
4. Lay out 4 white cubes to make a square. Introduce your child to fractions and fractions. Ask him which part is larger: a quarter or a half.

Dimension-based assignments

This is very milestone classes. Examples of measurement tasks that you can set for a child:

1. Hide the red stripe. Tell your child that the one you hid is longer than the blue one but shorter than the orange one. He will try to guess which one is hidden.
2. Use different sticks to measure small objects in game room. Let the baby find things equal to the length of, for example, an orange bar.
3. Build the path by skipping sections of different sizes. The child will fill them with suitable pieces.
4. Compare objects and bars several at a time, working through the concepts of “more”, “less”, “shorter”, “longer”.

Determine the composition of the number

Invite your child to make a train of colored sticks, for example, pink, blue, red, yellow. These are wagons. Before seating passengers on the train, let the baby name how many seats are in each of them. Doing it is necessary practical way. The kid puts white sticks on the wagons. One piece, one place. This work will lead to the understanding that each number consists of several units.

Logic tasks

A good option is "Mysteries". Model the situation for the child: the train consists of three cars. Yellow is in the middle. The pink trailer is not the first in the lineup. The kid will try to figure out in what order to arrange the sticks to meet the conditions of this statement. Along the way, complicate the logic block game task by asking additional questions:

1. How many passengers are in each carriage?
2. Just on the train?
3. There are three wagons. Together they are the same length as an orange stick. What are their colors?
4. There are three identical wagons. They correspond in length to the blue and blue sticks. What color are they?

Classes with Kuizener's sticks for three-dimensional thinking

Such tasks will help the child to open up from the creative side, to become more independent. There are different levels of difficulty, from drawing up different ladders for working out counting and arithmetic operations, to drawing up complex three-dimensional figures, writing fairy tales and stories. Such classes with children in groups are especially effective, but at home you can entertain your baby perfectly and profitably.

Building a staircase

This is a very important exercise in which the child will be able to work out the counting sequence and other skills. It is carried out in several stages different levels difficulties:

1. We are walking up the stairs. Let the kid lay out the stick “1” in front of him, announce what color it is. Then "2", etc. when the ladder is ready, he will run his fingers up it, then down, simultaneously counting. This contributes to the rapid memorization of numbers.
2. Let the baby lay out the number ladder. The kid collects a figure from a certain color, then from a number. You can complicate the task by skipping certain steps.

Drawing figures

First, draw an object schematically on a piece of paper in a box, draw inside the stripes that you need to put there, sign their numbers. Let the child collect the figure you have made on paper. Then make it harder. Draw a figure inside, but do not put numbers. Have the child repeat the task. The last stage is the most difficult. Draw only the outlines of the figure. Let the child fill it in at his discretion, but do not go beyond the boundaries.

After the kid has mastered drawing up figures on paper, ask him to do it on the plane. Let him add up what he wants, or whatever you think of: a house, a flower, a tree. The most difficult stage for older children is the compilation of three-dimensional three-dimensional figures. Kuizener's sticks in this case act as a constructor. You can collect animals from them, build houses, cars, and even build entire scenes.

Schemes for Kuizener sticks

On sale you will be able to find a huge number of drawings. There are diagrams on the net that can be printed in the desired format. They need to be filled with multi-colored bars in whole or in part. You can also repeat the pattern on a different surface, and then compare the shapes. Schemes can be black and white, decorated. Classes on them develop logical and creative children's thinking, counting skills, representation of colors. There are even schemes according to which you can create voluminous plot drawings and even whole fragments from fairy tales.

How to make sticks with your own hands

Buying a set is easier than making it, but not always parents have such an opportunity. Store-bought bars are voluminous, but it is very difficult to make such ones at home. It is easier to make flat ones for the baby. Instruction:

Prepare 10 sheets of colored cardboard. Shades must match those listed in the previously presented table.

The stripes will be doubled in size. Width 2 cm, length - 2, 4, 6, 8, 10, 12, 14, 16, 18.20 cm.

Mark the colored sheets by drawing the rulers in the quantity you need.

Cut the cardboard into colorful stripes sharp scissors.

Price of kuisener sticks

Store kits are inexpensive, but working with them is much more convenient. They can always be ordered from the online store with home delivery. Flat ones, made at home, have one advantage - a low price, but many tasks are impossible with them. With the approximate cost at which you can buy Kuizener sticks, see the table below:

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