Presentation of "Kuizener's colored sticks". Presentation "games with kuizener's sticks" presentation on mathematics on the topic Kuizener presentation with various game tasks

Prepared by the teacher Mikhailova I. V. MKDOU No. 19 Kindergarten"Malyshok" Shelekhov city, Irkutsk region Activation of children's cognitive processes with the help of Kuizener's sticks The most important task of raising a child is the development of his mind, the formation of such mental skills that make it easy to learn new things. One of the universal technologies is the technology of H. Kuizener, a Belgian mathematician, Kuizener's wand. This allowance is also called color numbers. The main features of this didactic material are abstractness, universality, high efficiency. Mostly sticks are used in pre-mathematical preparation, but they also find their application in other things - experimentation (as an object of experimentation or a means of measurement), in design (as a material for laying out flat images or voluminous buildings), in the plot - role playing (as a substitute item) Kuizener's sticks are multi-colored plastic bars (prisms) of different lengths. The set contains 241 sticks of 10 different colors and lengths from 1 to 10 cm. Each stick is a number expressed in color and size, i.e. length in cm. Sticks that are similar in color are combined into one family. The selection of sticks in one family is not random, but is associated with size. The “red family” includes numbers that are multiples of two; “family of blue” - numbers that are multiples of three; “yellow family” - numbers that are multiples of five; white cube - white family (one); black wand - black family (seven). From a mathematical point of view, Kuizener's sticks are a set on which relationships and orders are easily found. Color and size, modeling a number, lead children to understand various abstract concepts. Working with Cuisiner sticks involves two stages. First step. It is implemented at a younger and middle age (3 - 5 years). Sticks are first used as a game material. Second phase. Implemented at senior preschool age (5 - 7 years) Each stick is indicated by a number. Games with sticks at the first stage Younger age 1 Lay out the sticks on the table, mix them. Show red, blue, etc. 2 Take as many sticks in your right hand as you can hold, name the color of each stick. 3Choose sticks of the same color and build a fence for the duckling. 4 Take a blue and red stick, put their ends to each other. Got a train. Make a train for the cockerel from other sticks. Average Age 1 Hold one stick in your right hand and the other in your left. What are they in length? Put the sticks next to each other (lay on top of each other). Straighten on one side. What color is the long stick? Short? 2 Find with your eyes closed in the set 2 sticks of the same length. Open your eyes. What color are they? 3 Choose 2 sticks of the same color. What are they in length? 4 Let's build a house for nesting dolls. Take 4 orange sticks and line them up to make a square. The walls are ready. Build a roof with two blue sticks. What shape is the roof of the house? What happens at the house, except for the walls and the roof? Take 2 pink sticks and make a window, use 2 yellow sticks to make a door. What shape is the window or door? Games with sticks in the second stage Each stick is indicated by a number. Quantitative relationships are not as obvious to children as color, shape, size. You can open them in the joint activities of an adult and a child. At the same time, the adult is not limited to showing, but gives the child the opportunity to choose the action himself. The child quickly learns to encode the play of colors into numerical relations, to comprehend the laws of the mysterious world. With the help of “numbers in color”, it is also easy to bring children to the awareness of the ratios “more - less”, “more - less by ...”, teach children how to divide a whole into parts, introduce the composition of a number from two smaller numbers, help master the arithmetic operations of addition and subtraction, organize work on the assimilation of such concepts as “to the left”, “to the right”, “between”, “longer”, “shorter”, “between”, “each”, etc. Acquaintance with “color numbers” Number 1. Today we will learn one secret, the secret of these magic wands. Each stick represents a number. Find the shortest stick in the set. What color is she? Name the smallest number. What do you think the white stick represents? Why? Number 2. Masha has 1 pencil, and she needs 2. What will Masha do? (takes 1 more, becomes 2) How to get the number 2? (add 1 to 1) How to get a wand 2? (put stick 1 to stick 1) Find a stick in the set that will be like 2 sticks in length 1. What color is this stick? (pink) What number does the pink stick represent? Why? Composition of a number from two smaller ones. Composition of number 7. Find stick 7 in the set. What color is it? Find 2 such sticks in the set so that together they are the same length as stick 7. Prove. What numbers make up the number 7? (consider all options) Drawing up a numerical house. Summing up - what numbers does the number 7 consist of? (7 consists of 3 and 4, if you subtract 4, then it remains .... 7 consists of 5 and 2, if you subtract 5, then it remains ....) 1 D / and “Guess the stick” The leader thinks of any stick from the set, the players can ask the leader questions about this wand other than its color. Answers “yes” or “no”, Questions are put until they guess the color of the stick and its numerical value. 2 D / and “Train” Make a train from the shortest to the longest stick. How many wagons are there? What is the order of the blue wagon? What color is the fourth car? What color car is between white and blue? What is he in order? 3 Measure the length of a pencil with a pink stick, measure the same pencil with a yellow stick. Why are the answers different? For all age groups, you can use the construction of sticks according to the model and presentation. Classes with sticks are recommended to be carried out systematically, individual exercises alternate with collective ones. If these conditions are met, the result will not be long in coming.

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Kuizener sticks as a means of developing mathematical abilities in preschool children

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Kuizener's sticks are counting sticks, which are also called "numbers in color", colored sticks, colored numbers, colored rulers For children 3-9 years old

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The set consists of 116 plastic sticks, 10 different colors and different lengths. The smallest stick is 1 cm long and is a cube. Numbers from 1 to 10, action signs, relationship signs. The set includes: white - number 1 - 25 pieces, pink - number 2 - 20 pieces, blue - number 3 - 16 pieces, red - number 4 - 12 pieces, yellow - number 5 - 10 pieces, purple - number 6 - 9 pieces, black - number 7 - 8 pieces, burgundy - number 8 - 7 pieces, blue - number 9 - 5 pieces, orange - number 10 - 4 pieces

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Game exercises with Kuisener's sticks: 1. "Colored rugs". Purpose: To deepen children's knowledge of the composition of a number from two smaller numbers. 2. "Playing with color" Purpose: To develop the ability to combine color in a drawing. 3. "Measuring with a measuring stick." Purpose: To teach children to measure objects. Familiarize yourself with the terms. Fix the composition of the number. The ability to count. 4. "Supplement". Purpose: to learn to compare adjacent numbers. five . "Choose a number." Purpose: the ability to correlate the number of objects with a number. 6. "Colored numbers". Purpose: to fix the score within 10. 7. "Stand in order." Purpose: to exercise in direct and reverse counting. Develop the ability to find a place for a number in a number series. 8. "Who lives where." Purpose: the ability to identify the presence of several signs of color and size. nine . "Make a number." Purpose: to acquaint children with the composition of a number of units and two smaller numbers. 10 . "More less". Purpose: to teach to use in speech not the color of the stick, but the number that it denotes. 11. "Find a home for the wand." Purpose: to improve the ability of children to correlate colored numbers with numbers. 12 . "Designing Numbers". Purpose: to develop the ability to depict a figure different ways.

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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 manual. Kuizener's sticks are counting sticks, which are also called "numbers in color", colored sticks, colored numbers, colored rulers.

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The kit consists of plastic prisms in 10 different colors and shapes. The smallest prism is 10mm long and is a cube. The set includes: white - number 1 - 25 pieces, pink - number 2 - 20 pieces, blue - number 3 - 16 pieces, red - number 4 - 12 pieces, yellow - number 5 - 10 pieces, purple - number 6 - 9 pieces, black - number 7 - 8 pieces, burgundy - number 8 - 7 pieces, blue - number 9 - 5 pieces, orange - number 10 - 4 pieces.

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The choice of color is intended to facilitate the use of the kit. Sticks 2, 4, 8 form the "red family"; 3,6,9 "blue family". The "yellow family" is 5 and 10. The selection of sticks in one "family" (class) is not accidental, but is associated with a certain ratio of their size. For example, the "red family" includes numbers that are multiples of two, the "blue family" consists of numbers that are multiples of three; multiples of five are shown in shades of yellow. The white cube ("white family") is an integer, once laid down along the length of any stick, and the number 7 is indicated in black, forming a separate "family". In each of the sets, the rule applies: the longer the stick, the more value the number it expresses. The colors in which the sticks are painted depend on the numerical ratios determined by the prime numbers of the first ten natural series of numbers. Each stick is a number expressed in color and magnitude.

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The main didactic tasks Methods of realization with the help of Kuizener's sticks (possible motivation options) Sensory perception of color and size Unpacking into boxes, bags, free manipulation. Construction of multi-colored paths, houses, furniture for nesting dolls. Complication: lay out from sticks according to drawings, color schemes. Various rugs*. Comparison in size, length, width, height, shape. The ability to see a pattern, an eye. Design games according to numerical schemes and contours - cats, dogs, heroes of fairy tales, ladders. Laying out numbers according to schemes from sticks, letters, words, fairy-tale heroes - disenchant the fairy tale. Pyramid *, ladder. Various digital rugs. Coding schemes in games like: "Find the treasure", "Who is faster to the goal", etc. "Deciphering old manuscripts". Trains with wagons*. Use in story games. Riddles: “How many wheels do 2 cars have?”, show with a stick, “How old is brother?” etc.

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Development of quantitative representations, ordinal counting, orientation in space. Number comparison: >,< Строительство лесенок(определение смежных ступенек, сколько всего ступенек, вверх, вниз от заданной ступеньки и т.п.). Поезд с вагончиками * (сколько вагонов, какой по счету красный, какой по порядку вагон стоит между черным и красным, левее синего) и т.п. «Говорящие числа» - озвучивание «Я больше тебя, он меньше меня». Состав числа из единиц, из 2-х меньших, формирование данных понятий «Как растут дома?» - многоэтажные: где жильцы единицы, где жильцы 2 меньших числа. «Кто в домике живет?». «Рассели числа» «Расставь номера домов» «Как зверята играли в числа». Понятия четных и нечётных чисел. Строительство лесенок из четных и нечетных чисел Дети «прыгая» по ступеням называют ряд четных и нечетных чисел Использование палочек, как мерки. Речевые умения. Измерение различных предметов, обсуждение результатов. «Измерь дорожку», «Кто быстрее достигнет цели». Сказочные ситуации различной мотивации.

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Characteristics of the developing game of the Kuizener stick Characteristics of the developing game of the Kuizener stick Multifunctionality Wide age range of participants Creative potential Structural elements Imagery and versatility

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Examples of using the ladder We walk up the ladder And we count all the steps All the steps to one We know in the ladder there is color First - this is a white leaf Second - a pink petal Third - like a blue ocean Fourth - like a red tulip Fifth - yellow sunlight Sixth - a lilac bright bouquet Seventh - black fluffy cat Eighth - delicious cherry compote Ninth - my blue ball A tenth - orange bunny

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Let's make all the sticks clearly in height From low to high - it's very simple And then we'll make them in reverse order From long to short - like on a charge

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Games and activities with Kuizener's sticks 1. Get to know the sticks. 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).

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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 with cars of different lengths, from the shortest to 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.

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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."

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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.

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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? (composition of the number) 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?

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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 different geometric shapes or letters on a piece of paper and ask your child to put a red stick next to the letter "a" or in a square. 56. From sticks you can build labyrinths, some intricate patterns, rugs, figures.

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Olga Kotlyanik
Presentation of "Kuisener's Sticks"

1. Colored sticks are a multifunctional mathematical aid that allows "through the hands" of the child to form the concept of a numerical sequence, the composition of a number, relationships "more less", "right left", "between", "longer", "above" and many others. etc. Recruitment promotes development children's creativity, the development of fantasy and imagination, cognitive activity, fine motor skills, visual-effective thinking, attention, spatial orientation, perception, combinatorial and design abilities.

On the initial stage sticks used as play material. Children play with them, as with ordinary cubes, chopsticks, a designer, along the way they get acquainted with colors, sizes and shapes. At the second stage sticks already act as a manual for little mathematicians. And here children learn to comprehend the laws of the mysterious world of numbers and other mathematical concepts.

The considered method allows, in a playful way, to develop in advance the child's interest in mathematics and the ability to this subject. Children easily understand the counting mechanism itself and begin to use the newly acquired knowledge in practice, tracing a simple logical chain, which is clearly illustrated Kuizener's sticks.

2. Practice: getting to know chopsticks

Take in your left hand as many different sticks, and smaller on the right.

Spread from sticks various objects, buildings, figurines. Make a ladder from the smaller sticks to the biggest. Fold the same ladder yourself, but skip a few steps. Group everything sticks by color.

Take one wand and ask the child to take another of the same color and name it.

Get your hands on a few sticks. Ask to take as much as you have.

decompose sticks different colors one by one. Repeat several times in the same and then in a different sequence.

Put three side by side single color sticks, and on the other hand - four pieces of the same shade. After that, ask the child to say which of the shapes is narrower and which is wider.

Ask the child to hold two sticks, which are different from the one you hold in your hands. Build a pyramid. Ask your child questions about its components. For example, what wand located at the very top? And at the very bottom? Which lies above: yellow or red? Which one is between pink and yellow? Which the stick is shorter, which one is longer?

Let's take a few sticks. Ask him to count how many of them he had in his hand. What kind sticks Together they can make one red? Place a white paper in front of the child wand. Ask which one needs to be added to it so that together they are equal in length to red.

Ask your child to make the number five in different ways. sticks. Ask how blue stick more(longer than pink?

Have your child make a train out of red and blue sticks. And then ask from the whites sticks compose another train that would be longer than the given one by one car.

Ask how much in orange stick can you fit the pink ones?

Together make up sticks all numbers between 1-5

Build a simple geometric figure. Ask the child to repeat it, and later - to do it from memory

Related publications:

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Cuisener's Colored SticksSticks
Cuizener
in the cognitive and speech development of senior and preschool
age in educational activities.
"I hear and forget. I see and remember.
I do and understand." Confucius
Shorayeva Magira Zeynadinovna
Kruglyakovskaya Svetlana Anatolievna
educator
educator

Kuizener sticks are counting sticks that
also called "numbers in color", colored
chopsticks,
colored
numbers
colored
rulers. They are named after the inventor
George Cuizener (1891-1976) - Belgian
elementary school teacher. In 1952 he
published the book Numbers and Colors.

Colored sticks are multifunctional mathematical
a manual that allows "through the hand" of the child to form the concept
numerical sequence, number composition, more-less relations,
“right-left”, “between”, “longer”, “higher” and many more. others
The set contributes to the development of children's creativity, the development of imagination and
imagination, cognitive activity, fine motor skills, visual and effective thinking, attention, spatial orientation,
perception, combinatorial and design abilities.

Kuizener's sticks are 10 parallelepipeds of different colors and sizes, made
made of wood or plastic. Their length ranges from 1 to 10 centimeters.
The shortest stick means one, the stick twice as long means two, and so on.
2
4
8
"Blue Family"
multiple of 3
3
6
9
5
10
White dice ("white family") integer
times laid out along the length of any stick, and the number
7 is marked in black, forming a separate
"family".
1
7

There are certain schemes
with which you can compose a whole plot
drawing (fairy tale):

Development of speech and literacy
- help to highlight unstressed and stressed syllables, emphasize rhythms. This technology
can be successfully applied in Russian.
This is how we show the stress and divide the syllables accordingly - very
a popular method for teaching reading that you may have seen before in our
alphabets:
bowls
ka
that
rel
ka
Game "Clean"
Well, well, well, well, well, well, we'll clean the pans.
We will clean them with sand, pour boiling water over them,
looked at the pan - they saw a cleaner in it.
Kas
try
la

Divide words into syllables

Kuizener sticks and literacy

At the initial stage, a subject-developing
Wednesday, colored sticks purchased, demo
material, methodical literature.
I use in my work:
book by Komarova L.D. "How to work with Kuizener's sticks".
"Games and exercises with sticks by J. Kuizener"
Benefit Novikova, Tikhonova "Educational games and activities with sticks
Kuizener" and handout for this manual
Albums:
"Magic Tracks"
"House with Bells"
"On the golden porch..."
"Demonstration material for Kuizener's counting sticks and logic blocks
Gyenes"
"Story-didactic games "Country of blocks and sticks"

The Kuizener technique is universal.
Although Kuizener sticks are intended specifically for teaching mathematics and
explanations of mathematical concepts, they provide additional
positive impact on a number of border areas: develop small
motor skills, visual and spatial perception, stimulate the imagination,
taught to order.
.

Journey to the fairy tale "Three Bears".

Journey to a fairy tale.
Bear bowls
5

In every city of our vast country there is a place where he lives, grows and
develops the whole world whose name is Childhood.
Childhood in small shoes
Clumsily enters the house.
The world of toys and pictures,
Train, doll, gnome.
The world is magical, unusual,
It is open on all sides
The world, as if familiar,
The child himself rules in it.
A world of mysteries where everything is bright...
Adult! Carefully! ahead
Fragile, small gift
Childish, all-encompassing soul!
From the one who meets a small child in this world, who looks into his
wide-open and surprised eyes, and who will smile at him the warmest
and a gentle smile - a lot depends ...

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