Typology of training models. Preschool Mathematics: Designing from geometric shapes Choose the right angle

there are three main types of design: according to the sample, by conditions and on the plan.

Designing according to the sample - when there is a finished model of what needs to be built (for example, an image or a house diagram).

When designing under the conditions of the sample, there is no - only the conditions for which the building must match (for example, the dog's house should be small, and for the horse - large).

Designing on the plan assumes that the child himself, without any external restrictions, will create an image of a future structure and embody it in the material that is available at its disposal. This type of design is better than the rest develops the creative abilities of the kid.

Classes from here, there are age 1-2 years and 2-3, I am different takes that interesting

Lesson number 23.

Topic: "Truck".
purpose : Exercise children in simultaneous action with details of two types: cubes and bricks. Continue to learn the admission of the details. Continue to teach children to build construction within the meaning of the plot.
Material : Matryoshka, 2 cubes yellow color, 2 bricks of blue color.
Stroke Games: Build a truck sample: take bricks and apply them to each other. Then take the cubes and put on bricks. It turned out a truck. What is it, Masha? (Truck) And now put the Truck Matryoshka and go. "BBB! Go!" Suggest children on the sample to build a truck. If the children coped with the task, then the teacher does not explain the ways of design, but only helps questions, by advice by referring to the sample, action (if necessary).

Lesson number 66.

Figures ours

Construction of the sample, the bridge was built

Timur like the racing route only to build, the rest is all without much enthusiasm))), this is the construction of our intent

And according to the tasks, the garage was built a small large, one garage for two cars and a truck for the caterpillar (building under conditions)

I still share the books that I liked

1 - a letter for learning reading, he is without pictures. Apparently Timur, as I don't like textbooks with pictures))))) We still learn letters on it, I like him very much (I printed it on A4 and packed in the folder)

2 - teach a child to draw, also printed, tasks there just by age

Theme lesson: "Geometric design from cubes."

Type of lesson: Work lesson.

Technology: Design.

Equipment:computer class, projection equipment.

Additional materials:multi-level tasks, blanks to cards in electronic form.

Objectives lesson:secure the skills of using a graphic editor, demonstrate the possibilities of using Paint in geometrical modeling, designing volume figures.

Tasks lesson:

• Educational - the development of cognitive interest, the upbringing of information culture, accuracy when performing a task.
• Training - repeat and consolidate the basic skills of working with a graphic editor and
• Developing - the development of logical thinking, spatial imagination, creative abilities of students.

DURING THE CLASSES

I. Orgmoment

II. Repetition studied at the previous lesson. Frontal survey

- The items around us have a bulk form. One of the curious, beautiful and at the same time, the most "friend" from the very childhood is a bulk figure - a cube or, as we can call it affectionate - cube . Which of us did not play in the cubes in childhood, did not build locks and pyramids from wooden, plastic, big and small cubes!?

- Who can answer the question - how is the square of the cube?

- What can be done from squares? And from cubes?

- How can you call the construction of simple figures more complicated? (Designing, modeling)

- What are the people who are employed? (Designers, Models)

- What kind of reception we used in the preparation of mosaic and when designing flat images from squares? (Copy)

- What actions perform for copying?

• select a fragment, edit - copy;
• right-click, through the context menu;
• using the keyboard.

- What is the clipboard?

III. Practical work on the design of volume figures

Discussion of the example presented on the board (projector)

Tell the rules for designing cubes, trying to task on your computer yourself.

These rules:

1. Before the construction of the design, determine how many rows in the height occupies the design.
2. Start the construction from the bottom row, extinguishing the upper rows.
3. An important rule to perform practical work - Create a duplicate cube, retaining the untouched original!

IV. Working with the tasks of various levels of complexity

The task is to create a design and counting the number of cubes for the construction. To perform tasks in the exchange folder on students' computers already has a cube blank. Students copy it to their working folder and, if desired, can repaint the workpiece at their discretion. The teacher, in the course of the task, notes students who saw repeating fragments in a bulk figure and using the copying of the entire structural blocks immediately when constructing.

V. Summing up

Evaluation criteria

• the most accurate work (the accuracy of the calculation of cubes is taken into account);
• who managed to perform more than all designs.

Vi. Homework

• Draw a "interesting" composition of cubes.
• Designing your own design. Come up with its purpose, name. Emboss on a separate sheet.

Test estimation criteria: Fantastic, accuracy, complexity, design contains the most cubes, the volume of construction.

Examples of tasks cards

1. Make up composition 1. From cubes:

Do not forget the rules:

• Building in the ranks should be guided from left to right, from the back plan moving towards the front.

2. Make up composition 2. From cubes:

Do not forget the rules:

• Start the construction from the bottom row, pulling the top.
• Building in the ranks should be guided from left to right, from the back plan moving towards the front.
• "Quick" Copying a fragment can be performed using the Ctrl key.

3. Make up Composition 3. From cubes:

Do not forget the rules:

• Start the construction from the bottom row, pulling the top.
• Building in the ranks should be guided from left to right, from the back plan moving towards the front.
• "Quick" Copying a fragment can be performed using the Ctrl key.

4. Make up Composition 4. From cubes:

Do not forget the rules:

• Start the construction from the bottom row, pulling the top.
• Building in the ranks should be guided from left to right, from the back plan moving towards the front.
• "Quick" Copying a fragment can be performed using the Ctrl key.

5. Make up composition 5. From cubes:

Do not forget the rules:

• Start the construction from the bottom row, pulling the top.
• Building in the ranks should be guided from left to right, from the back plan moving towards the front.
• "Quick" Copying a fragment can be performed using the Ctrl key.

6. Make up composition 6. From cubes:

Do not forget the rules:

• Start the construction from the bottom row, pulling the top.
• Building in the ranks should be guided from left to right, from the back plan moving towards the front.
• "Quick" Copying a fragment can be performed using the Ctrl key.

7. Make up composition 7. From cubes:

Do not forget the rules:

• Start the construction from the bottom row, pulling the top.
• Building in the ranks should be guided from left to right, from the back plan moving towards the front.
• "Quick" Copying a fragment can be performed using the Ctrl key.

8. Make up composition 8. From cubes:

Do not forget the rules:

• Start the construction from the bottom row, pulling the top.
• Building in the ranks should be guided from left to right, from the back plan moving towards the front.
• "Quick" Copying a fragment can be performed using the Ctrl key.

"... forever goes somewhere in a hurry, not a minute of free time ... there is no time to sit down, nor think, and if there is a small lumen in a solid stream and it will seem like a small lumen - here I'm soma, a beautiful cattle ...", - wrote Famous English writer Oldos Huxley.

The Chinese puzzle tangram, known for several thousand years, is a square from some thin material, a certainly cut into seven parts (see chapter 23 for more about Tangram. The game is that various figures fold out of seven elements. From time to time, attempts were made to create three-dimensional analogs of Tangram, but none of them can compare with the catmaid cubes, invented by the Hayne pete, about whose mathematical games hexes and so-tick we have already told.

Cubes Soma Pete Hein came up with the lecture of Werner Geisenberg on quantum mechanics. While the famous physicist spoke about the space cut into cubes, the living imagination of Pita Hane suggested it to the wording of a curious geometric theorem: if you take all the wrong figures that are composed of three or four cubes glued together, then you can make one larger cube .

Let's explain said. The simplest wrong figure is "wrong" in the sense that there are protrusions and depressions on it, it turns out if you glue three cubes as shown in Fig. 115, 1. This is the only wrong figure, which can be built of three cubes (from one or two cubes, obviously cannot be made any incorrect figure). Taking four cubes, we will be able to build six different incorrect bodies. They are depicted in fig. 115, 2-7. To somehow distinguish constructed figures, Hein renumbered them. All seven incorrect figures are pairwise different, although the figures 5 and 6 are combined with mirror reflection. Hein drew attention to the fact that, gluing two cubes, we increase the length of the body only in one direction. To increase the length of the body in another direction, we need another, third cube. Four cubes will allow an increase in the length of the body in three directions. Since, even taking five cubes, we will not increase the dimension of the figure to four, the set of catches of the catfish is reasonably limited to the seven figures depicted in fig. 115. Completely suddenly it turned out that one large cube could be folded from these seven elements.

Immediately, at the lectures of Heisenberg, Pete Hein estimated on a piece of paper, that from seven elements glued from 27 small cubes, you can make a cube size of 3 × 3 × 3. After the lecture, he cleaned his seven elements from 27 cubes and quickly became convinced of his guess. Firms engaged in the production of toys released Heyne's cubes on sale under the name "Soma". The compilation of figures from seven incorrect elements is very popular in Scandinavian countries.

To make cubes yourself for the game of Soma - and we strongly recommend this game to your readers, she will like it, "it's enough to take the most ordinary children's cubes and glue all of them from seven elements. In fact, the soma game can be viewed as a three-dimensional version of the polyomino, which we have already told about.

As an introduction to the art of the Soma game, try to fold from any two elements a stepped figure shown in Fig. 116. Having coped with this elementary task, try to collect from all seven cube elements. One of the readers amounted to a list of more than 230 different solutions (not counting those that are obtained during the turns and reflections of the Cuba), but the exact number of all solutions is still unknown. When drawing up the cube, it is advantageously prevalent to take more incorrect elements (5, 6 and 7 in Fig. 115), since it is not so difficult to fill out the formed emptiness. In particular, the element 1 is best to take the latter.

Buing a cube, experience your strengths in folding more complex shapes shown in Fig. 117. Acting by samples and errors, you lose a lot of time. It is reasonable, analyzing the design, speed up the construction. In this you will help your geometric imagination. For example, elements 5, 6 and 7 cannot serve steps leading to a "well". Having made several sets for the game of Soma, you can conduct competitions. The winner is the one who will fold the specified figure faster than others. To avoid disputes about how one or another should look like, it should be said that the rear sides of the "pyramid" and "steamost" look just like the front side of these figures; The recess in the "bath" and the Mine "Well" have a volume equal to three cubes; On the back wall of the "skyscraper" there are no protrusions nor grooves, but a table forms the back of the head "Dogs", consists of four cubes (the lowest cube is not visible in the drawing).

Chatting a few days with unusual cubes, many are so mastered with their shape, which, when compiling new Soma figures, can produce all the necessary actions in the mind. Tests conducted by European psychologists have shown that there is a certain correlation between the ability to solve puzzles with sobe cubes and the overall level of development, but at both ends of the curve characterizing mental development, severe discrepancies are possible. Some geniuses turn out to be completely incapable of the game, and, on the contrary, some of the mentally retarded individuals are strongly developed precisely the type of spatial imagination, which is required for the game of Soma. Interestingly, everyone who is exposed to such a test, with pleasure continues to play and after his end.

Just like two-dimensional polyominos, the constructions of catbits are associated with the most interesting combinatorial geometry theorems, in particular with the proof of the impossibility of one or another construction. Consider the left figure in Fig. 118. To build it failed to anyone, but only recently it was strictly proven that it was really impossible to make it from the cat's cubes. We will give here this ingenious proof owned by Solomon V. Golomuba.

First of all, give the top view of the figure shown in Fig. 118 Left, and coloring columns (when considering from above, each column "hits" under the edge of its top cube) in a checker order. In each column, with the exception of the central one, two cubes. The central column is built of three cubes. In total, there are 8 white cubes and 19 black figures. Amazing asymmetry!

The next stage of evidence is that for each of the seven elements of the Soma game, they find such an orientation at which this element, if you put it under our chess stencil, will have a maximum number of black cubes. The maximum number of black cubes for each item is indicated in the table. As can be seen from it, there are 18 black and 9 white cubes, that is, for a ratio of 19: 8, which characterizes our figure, there is not enough single black cube. If the upper black cube is moved to any of the white columns, the ratio of black and white cubes will become equal to 18: 9. This figure can be built.

Must admit that one of the figures depicted in Fig. 117, it is impossible to draw up from the elements of the Soma game, however, in order to find it, the reader will have to spend not one day. Below we will not stop at the methods of constructing other figures depicted in Fig. 117 (Mastering the art of drawing up such figures is only a matter of time), but we will specify the one that cannot be built.

The number of fun figures, which can be made of seven sobe elements, apparently, just as unlimited, as the number of flat figures laid out of the seven elements of Tangram. It is interesting to notice that if you postpone the element 1, then from six other elements, you can create a figure exactly as an element 1, but twice the large size.

Having written a note about the game of Soma, I assumed that only a few readers would take care of the work to make a complete set of its elements, and brutally mistaken. Thousands of readers sent sketches of the new figures of the Soma game, and many wrote that their leisure began to pass much more interesting since they were "bitten by Soma Fly." Teachers made kits cats for their classes, psychologists included the compilation of figures of them among their tests. Soma cubes fans made sets from seven elements for their friends who fell into the hospital for friends as a Christmas gift. Firms engaged in the production of toys have become interested in the rights to manufacture cats. At the shelves of toy shops, sets of wooden catbits appeared.

In fig. 119 shows 12 of many hundreds of new figures sent by readers. All 12 figures can really build.

In my opinion, the popularity of Soma cubes is related to the fact that only seven elements are used in this game and the playing is not suppressed by excessive complexity. The idea of \u200b\u200bcreating other games using a greater number of elements is involuntarily. Many of the letters received by me are devoted to the description of such games.

T. Katsanis Suggested a set of eight different elements that can be made up of four cubes. Its set includes six cell cubes elements plus a chain of four glued in a row of cubes and a square 2 × 2. Katsanis called his game by the quadracubes. Later by other readers were offered tetrakubiki. Of the eight quadracubes, they cannot be built a cube, but they can be placed close to each other so that they will form a rectangular parallelepiped with a size of 2 × 4 × 4, twice the greater square tetracube. In the same way, increased models of the remaining seven elements can be also compiled.

Katsanis also found that the eight elements of the game invented them can be divided into two groups of four elements in each, so that the elements of each group can be built a rectangular parallelepiped 2 × 4 × 4. Combining these parallelepipeds, you can build increased models of six of the eight source elements.

If you take three-dimensional pentamino, composed of non-squares, but from single cubes, then from the twelve elements can be built a rectangular parallelepiped 3 × 4 × 5. From three-dimensional pentamino, it is possible to fold the rectangular parallelepipeds 2x5x6 and 2 × 3 × 10.

The following is the complexity of the game - folding figures from 29 elements built of five cubes. She also came up with Katsanis. He suggested calling this game with pentakubics. Six paentakubic pairs go into each other when reflections. Taking one element from each pair, we will lower the number of elements in full set to 23. And 29, and 23 are simple numbers, therefore, whatever a set of pentakubics we take, full or small, we still will not be able to build a rectangular parallelepiped. Katsanis formulated the tripping task: choosing one of the 29 elements, to build from the rest of the 28th large model.

Elegant set of pentakubikov sent D. CLARNER. Cutting them out of the box in which they were packed, I could not lay them back. Clarner spent a lot of time on the design of unusual figures from pentakubikov, a lot of time had to spend and me to reproduce some of them. He also told me that there are 166 hexakubikov (the figures obtained when gluing six cubes), but was so kind that they did not send me a set.

Answers

The only figure in fig. 117, which cannot be built from the seven elements of Soma cubes, is a skyscraper.

What constructors will not meet now on store shelves! Some consist of tubes, others from geometric figures With slots, third-party components resemble puzzle-puzzle details. Designers on magnets, on velcro, lego-compatible constructors and "EGO". To many designers are attached detailed schemes assembling a particular model. But still, ordinary wooden cubes and kits "Builder" continue to use unfading popularity, in which there are bricks, cylinders, prisms and other details except cubes. In the cubes played our grandparents, dads and moms. Our children play cubes with pleasure.

Playing in Cubes

Cubes are different. Wooden - with sharp corners, large plastic with smoothed corners (especially for the smallest). There are cubes cardboard and porolone (covered with cloth or washing vinyl material).

At various age, cubes are used in different ways. An annual baby, diligently puff, builds a tower of two cubes. Three-year-old Girly builds a cube cubes for a poupsik. And a seven-year-old boy builds a huge palace snow Queen Or the fortress of the Crusaders.

When to start playing with a child in cubes? Does the child in the help of an adult playing with them? Do you need to teach children to build from cubes? Can a set of cubes become a training game?

Let's try to figure out these questions.
Age 1.5-3 years
Get acquainted with Figures

Show and call the baby all geometric bodies that are in your construction set. It can be: cubes, bricks, cylinders, triangular prisms, arches, lumps, cones, other figures. Sometimes there are sets with wooden balls, if you do not have this, add to games with building material A couple of small rubber balls.

Ask the kid to decompose the shapes in a handful of shape or distribute certain shapes with different toys (Michemok - cubes, a bunny - bricks and so on). Fold out several shapes in a small bag and ask the baby without looking to get the figure from it that you will call or show.

Playing with baby, be sure to call the color of the details. You can play the game with folding figures in your houses (you can cut silhouettes of colored paper houses or make them out of shoe boxes, painting in the right colors, but this option is more time-consuming). If there are identical geometric bodies of different sizes, consider where large and where small. Make houses of different sizes (paper silhouettes of one color (neutral) or two or more sizes, if necessary).

Try to roll different details of the "Builder" from the board. A hood can serve any double-board, put on a large cube or a stack of books. Cubes and bricks, prisms slowly slide from slides, balls and cylinders (if you put them on the side) quickly roll. Pay attention to the child on how the speed of movement of the shapes rolling from the slide is changing, and the distance they will pass if you change the angle of its tilt in here or another side. Or, if you put the same detail, then the roller coaster, then in the middle, then on the very edge - below.
Building

Show the child how to build turrets. Let him try himself. Consider with him, what kind of figures can be put on each other, and which is impossible (for example, balls, cylinders sideways, triangular prisms, if they put them on the base).

Build real large facilities kid can not yet, but with great pleasure He will make a primitive house for a fusion or soldier (two bricks standing on the end, one lies across from above). Girls willingly make cribs, armchairs, benches for dolls and dolls. Boys build garages for small machines.

In order for the baby to want to build large structures, build them on his eyes. Engage a child in co-construction - let him give you the desired detail or puts anyone to the place that he liked. Do not be angry with the baby, if he broke your idea.

Try not to build the same type of projects, invent every time something new, unusual. Do not strive for symmetry in our facilities, on the contrary, do nothing to similar castles, houses, palaces.

After the game, the cubes must be removed so that they do not fall under their feet. Make a baby box piggy bank with slots corresponding to the details of the set. Let after each game he folds the cubes in the box independently (at first, of course, you can help him a little). Or fold them into an ordinary box.
Age 3-5 years
Get acquainted with Figures

From three years of children begin to learn not only to distinguish, but also correctly call the basic details of construction sets.

Tell the baby, as the parts of the figures are called - the face, angle, edge. Ask to show you these parts from different figures.

Most likely, the child is already well acquainted with the concepts of big - small. It's time to add to the concept of the concept: high - low, wide - narrow, long - short, describing individual details or whole buildings. Ask to build a short or long track, low or high fences and turrets, wide or narrow knotted knots, tracks and so on.
"Monkey"

Play with the baby in the "monkey" (the game is described in the book of Nikitin " Mind games"). Take two details for the beginning (two cubes, a cube or brick, two bricks). Exactly the same in shape, color and size of the details give the baby. Agree with him that he is a monkey, and monkeys love everyone for everyone to repeat. You will build, and the monkey will repeat you.

Build the simplest model - turrets, track, fence. Wait until the child copies it, then collect the following. It's not worth playing too long, finish as soon as notice that the child is tired or tired of him. Then he will gladly play with you next time. Do not fulfill the task for a child if it does not work. Copy your model yourself. It is better to offer another, simpler option.

Gradually go to copy buildings from three or five or more details. In the process of the game, ask the baby to think about what is like that or that construction.
Remier

The following task is the conversion of samples. Adult builds a small construction and asks the child to build the same model by changing some parameters. The simplest thing is to change the color. Your whole tower is completely red, and let the children's tower be from the same details, but blue. Then - let it change the size. Instead of small details, let him take large (or vice versa). Then change the form: instead of cubes - bricks (but the number of parts, their color and location are saved) and so on.
Build the description

Offer the child to independently build two houses - for a large and small doll (or garages for different cars). Let him choose the details and thinks out the design so that the characters (objects) fit into the house (garage).
Sequences

Teach the child to continue the row in which certain figures are repeated consistently. Put the start of the track (fence), such as a cube - a brick - a cube - a brick or cubes: red - blue - red - blue. Ask a child to guess which item will be next. Gradually complicate tasks, alternating three different details. Or the part of one type, and behind it two parts of another type and so on. Pay attention to the child not only on the sequence of figures, but also on their location: the brick can lie on the plastics, and the baby will put it on the edge, you have an army with a removal (knot) down, and it has up.
We build a city

Draw on a sheet of paper the track, and along the two sides of the contours of the edges of geometric bodies (attach cubes, bricks, cylinders straight onto the sheet and circle). It will be a project of a new city. Let the child puts at home according to the project and play in the new city - it will take the cars, settles dolls, small animals.
Mirror

Position on the table in a row (or one under the other - turreka) two or three figures. Ask the baby to arrange the same figures in the reverse order. Over time, increase the number of items in the game.
Remember

Make a track or tower from several parts on the table (start with three or four items when the child is being mastered - increase the amount). Ask him to look at the track (tower) and turn away. Change the location of one shape (then two or three). Ask the child to restore the initial location of the figures.

Make a track (tower) from the figures, give the child to look at it, and then remove it. Offer baby to restore the construction yourself.

Ask a child to look like that or another item. Ask found in the room items similar to it. Ask for remembering that he has seen the same form before.
Age 5-7 years
We build on the job

Children of senior preschool age like to play cubes for a long time (naturally, if they do not sit through all days with "Dandy" in the hands of what caring parents, of course, will not allow).

But sometimes you can give the child an order for the construction of certain facilities. For example, build a house in which there will be a certain number of floors and apartments. Or a garage into two small and one large car. Children who love fairy tales can be offered to build a house for seven gnomes (small, but with family villages) or a house for Carlson (naturally, on the roof of an apartment building).
We are building masterpieces of world architecture

If you familiarize the child with the history of world art and architecture (on reproductions and photographs) or famous buildings of your city, you can offer him to try to portray the cubes of one or another architectural monument. The easiest of all the most famous reproduction facilities with the help of a construction set is, of course, Stonehenge. But I think that children with no smaller inspiration respond to the offer to build the semblance of the pyramid of Heops or the Kremlin wall.
Game "Drawing"

For the game they will need cubes, bricks, as well as a set of geometric shapes. They can be cut from color cardboard of the same color.

Rectangles from cardboard of one color (six pieces of each size):

2.5 x 5 cm;

2.5 x 10 cm;

Squares from cardboard of one color (ten pieces):

5 x 5 cm.

Ask a child to call you all the figures (from cardboard). Tell us about their parts. What is the angle and side. Suggest showing equal side by one figure, in two different figures.

Show and name the child parts of these geometric bodies (cubes and bricks) - the face, angle, side.

Compare geometric bodies with rectangles and squares. Pay attention to the child to the fact that every face of a cube is a square, and a couple of different rectangular faces in a brick. Let the child compare rectangles with the edges of the brick and will find the display of the front, side and upper faces.

Offer the child to build a simple house of three-six elements. Position on the table a plan for its construction with geometric shapes (front view). Then change the roles - you build, the child makes the plan.

Then do the same, depicting the construction of the side (left).

Then the same, but the top view.

Gradually come to portray all three types of building at the same time (as on the present drawing).
Play in designers

The very first designer can give the baby in a year and a half. Designer details must be large, to connect easily with each other, without effort.

Show the baby how to connect the items. Build several houses, machines or other simple models in his eyes so that the baby see the capabilities of this game.

Try to use designers as educational games. Call the color of the figures, compare the size of the buildings. Offer a child to perform tasks described in games with construction cubes.

Do not buy many designers with various details and principles of their connection. It is enough to buy constructors of one or two types. If it is not enough details, it is better to buy another set of the same type.

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Acquaintance of the preschooler first with geometric figures, and then with the basics of geometry opens up new opportunities for organizing effective educational activities. As part of the course for kids, offer your Karapauz designing from geometric figures, about the benefits, methods and principles of which we will now tell. Interesting? Then let's understand together!

Use of geometric design

Drawing up a variety of structures (ornaments, abstractions, simple images, or even entirely plot paintings) from flat geometric figures - an effective key to the comprehensive development of imagination:

• introduces geometric figures, expands and enshrines knowledge on this topic;
• creates favorable conditions To assimage the concepts of "color", "Form", "Size";
• develops spatial, abstract and figurative thinking;
• stimulates imagination;
• helps to disclose creative potential;
• contributes to the development of speech;
• trains a small motorcy;
• improves visual motor coordination.

Designing from geometric shapes - Universal lesson, able to captivate boys and girls of different ages and temperament. Most young designers can be suggested simply playing the designer details, carefully consider them, try to sort by one or another sign (form, color, size). The level of complexity of tasks should grow with the child.

Young creators, owners of a rich imagination, in the compilation of images from flat geometric figures attract the ability to realize interesting images, give out its fantasies. Such kids with ease copes with creative tasks, without the presented sample folding from the existing details sometimes incredibly interesting schemes.

Calm, judicial, prone to the logical reasoning, Doscompolat likes working with china forms. They gladly perform verbal algorithms and rejoice, having received a tangible result, visualization of their work.

Combining different techniques of geometric plane design, you develop both hemispheres of the children's brain, the more favorably affect the creative and logical thinking of the child.

Geometric constructor do it yourself

In children's stores, geometric designers are represented by a rich assortment. Can buy magnetic designers, Frames-inserts, puzzles ... And you can make a useful developing game yourself. All you need is a ruler, pencil, cigl, scissors, and, of course, the reserve of a suitable material:

• color cardboard (you can use velvet, foil, designer with different textures);
• felt;
• carpet;
• thin linoleum;
• polyurethane rug;
• plastic folders and folders.

Important! So that the child does not hurt, carefully treat the edges of the figures.

If you have a margin of tissue of different textures, use it for your DIY designer: Capture a set of figures from a thick cardboard, and then each of them will cross jeans, velvet, velvet, atlas, fetter ... If you attach a small piece on one side Sewing contact tape (simply speaking, velcro), it turns out a great material for geometric design on flannelhemph.

What are the figures for the homemade geometric constructor to include in the set, solve you. Than younger babyThe less elements he needs. For children for 2-3 years, prepare kits containing:

• circles;
• squares;
• triangles;
• rectangles;
• oval.

Each figure should be represented by different colors and sizes.

Optionally, you can add your set of more complex curly objects - various arches, stars, wrong figures (reminding clouds, puddles or blots - as you please).

For a start, you can make small sets: 5 options each basic Figure. As you need, your kit will be replenished with new details. It's not a problem.

Work with geometric figures: instructions for parents

Classes with details of the geometric designer can be organized in different ways:

• repeat the sample;
• fulfill the verbal description;
• independent work.

Children 2-3 years old Offer ready templates, help the kids repeat the image from the available parts, discuss which figures you used.

Children 4-5 years old You can give a set of figures and ask them to fold simple images. For example:

• Make a Christmas tree of three triangles and a rectangle.
• Persay the house of three squares, triangle and rectangle.
• Use any figures from your set to get a flower.

When the baby can cope with the task independently or with your help, discuss the figures of which color and size it used. Ask a small designer to justify your choice.

In senone preschool age Children are capable of creating entire plot patterns from geometric shapes. Suggest the baby to make your own hands greeting postcard, decoring it with appliqué from geometric shapes.

On a note! Geometric applique, like the geometric mosaic, are varieties of plane constructs from geometric shapes. Combine these methods in organizing classes on pre-school mathematics with children of different ages.

Friends! Do not forget, the best way Teach a child - show good example. If you want your baby to grow creative, enthusiastic and intelligent, boldly fantasize, inventing interesting tasks with a geometric constructor for him.

We wish you a happy, creative parenthood. To new meetings!