Master class: “Making manuals for the development of mathematical concepts in children with your own hands” methodological development in mathematics (senior, preparatory group) on the topic


DIY math games

Elena Margelova

DIY math games

Game “Collect a fly agaric”

Goal: to consolidate the ability to correlate quantity and number.

Materials : Separate fly agaric caps with different numbers of white dots within 10, and separately fly agaric legs with numbers from 1 to 10.

Description: You can play either individually or as a whole group, taking turns going out and looking for the right hat with the required number of white dots for the leg with the selected number. (children do not see what number the leg will come up with, they are turned upside down, and the child draws to choose from)

Game “Collect a Caterpillar”

Goal: to consolidate knowledge about numbers and their place in the series of natural numbers.

Materials : separate parts of the caterpillar with different numbers within 10.

Description: Each part of the caterpillar is scattered randomly, children collect it in order.

Game “PICK UP THE CLOTHESPICK”

Goal: consolidation of knowledge about the relationship between quantity and number within 10, repetition of the names of geometric shapes, development of fine motor skills.

Materials : drum with sectors in which different geometric shapes are located in different quantities within 10. Clothespins with numbers.

Description: Children are given clothespins with numbers and a tape measure with different numbers of geometric shapes. You can spin the roulette, determining the number of geometric shapes in the drawn sector, name them and find a clothespin with the required number, or you can simply turn the circle over and attach clothespins with the required numbers, while naming the geometric shapes.

Game "FISHING"

Goal: strengthening the skill of solving examples within 10, forming ideas about the composition of numbers within 10.

Materials : cardboard buckets, fish with examples within 10 of addition and subtraction.

Description: You can work individually with one child, he puts the fish in the right buckets, or you can work with a group of children, who will fill the buckets with fish faster and correctly.

Game "GUESS WHICH CHICKEN IS LOST?"

Goal: determine the place of the number in the natural series, name the missing number.

Materials : chicken figures with numbers from 1 to 10.

Description. The chickens are displayed in natural row sequence. Invites the children to look at how they stand, to see if any numbers are missing. After the children guess which chicken is missing, the hidden one is shown and put in its place.

You can use chickens in other tasks, for example: chickens are placed randomly, and children line them up in the correct sequence.

Game “GUESS WHICH IS THE COUNT...”

Goal: to consolidate the skill of ordinal counting.

Description. On a typesetting canvas or on a board, all the heroes of the fairy tale “Turnip”

.Task: “Now we will play the game
“Guess which hero I hid?”
Look how many heroes there are? After listening to the children’s answers, he explains the task: “Try to remember in what order the characters are located. Then I will hide the first hero, and you will tell me which one he was. Who wants to count the heroes in order? The child counts: The first is the grandfather, the second is the woman, etc. Then the children close their eyes, and the teacher removes one hero. The exercise is repeated several times.

Non-traditional benefits for preschool children according to FEMP

  • January 8, 2016

Festival “Golden Handicraft – 2015”
Section “Pedagogical Workshop”

Nomination "Magic Needle"

I bring to your attention teaching aids made for preschool children on the formation of elementary mathematical concepts. Working as a kindergarten teacher, I really love making crafts for my students. I sew not only toys for children from felt and fleece, but also various teaching aids that are useful for children. They help with work, and children love them for their unusualness and brightness, and enjoy spending a long time playing homemade games, developing fine motor skills, memory, attention, and logic.

Games can be used in subgroups or individually, both as play and learning activities. These games are suitable for preschool children from 2 to 7 years old. They are easy to make from scrap materials, or like I did, from felt and fleece.

Lacing “Collect flowers”

Using the game, you can introduce your child to color, size, and counting. Lacing promotes the development of fine motor skills, allows children to develop the ability to control their achievements, initiative and independence, and the ability to exert volition.

"Magnetic numbers"

Games made of felt on magnets will help the child get acquainted with numbers in a playful way, independently correlate the number of figures with a number, get acquainted with the number series, and lay out numbers in forward and reverse order.

Lacing “Geometric Shapes”

The set contains geometric shapes made of decorative foam. There are holes for lacing along the edge of the figure; you can attach figures of the same color or shape, or by number.

Game "Colored Dominoes"

The game consists of 28 cards, 7 colors. The principle of the game is the same as in a regular domino, but instead of numbers there are multi-colored circles. The game will introduce children to 7 colors, develop interest in board games, teach perseverance and the ability to play with other children.

Game “Assemble a circle from parts”

The game will introduce children to dividing a circle into 2, 4 and 8 parts. You can come up with many other games.

Game "Caterpillar"

Game on magnets, for fixing numbers, neighbors of numbers, forward and backward counting. Teaches children to match the number of objects to each number. You can play additional games: “What number is missing”, “Show what number the caterpillar shows”, etc.

These are the kind of teaching aids I make for my kindergarten students; children play with them with pleasure, they are durable, easy to wash, very bright and attractive to play with. Thank you for your attention, I will be glad if you like my teaching aids. Good luck with your work!

Internet resources used in this work:

https://www.maam.ru/detskijsad/matematicheskaja-igra-volshebnaja-gusenica.

htmlhttps://www.maam.ru/detskijsad/didakticheskaja-igra-veselaja-shnurovka.html.

Author: Tomareva Larisa Vasilievna, teacher of the highest qualification category, MADOU d/s No. 118 building 3 of the city of Tyumen.

DIY educational games and aids

I would like to show our games for the development of auditory perception, promoting the development of speech and hearing, training in the development of color perception, intelligence and memory.

I'll start, perhaps, with such a thing as auditory perception. I wrote in detail here. Montessori noise cylinders.

The age stated by Mrs. Montessori for playing with noise cylinders is 3 years and above. We started at 2 years old, adapting it to suit our age. I made only 4 cylinders under the red markings and the same 4 cylinders under the green markings.

That's enough for us for now. As practice has shown, you can start with 2-3 things to begin with. If you start carefully, your child will be unstoppable. I don’t know why, this game reminds me of our children’s “Broken Phone”.

We play like this: I show Arina how I take out and listen to the cylinder: I bring it to one ear and shake it, then I do the same at the second ear. I suggest she do the same. She listens to all 4 cylinders in turn. I ask questions: “Which one is louder and which one is quieter? What does the noise sound like? Then we try to look for the same noise among the cylinders with green markings (they contain exactly the same fillers).

I ask questions as she holds two different cylinders in her hands: “Do they make the same noise?” If the cylinder makes a different noise, put it back in the box and take another one. And so we take it out until we pick a pair.

Nikitin squares. Official site .

Nikitin squares are a wonderful tool for developing intelligence. I am also interested in the fact that the gradual solution of problems of the first level smoothly leads to the next, more complex ones. I made the diagrams in the Coral program. Download.

Of course, at 2 years old, we solve first-level problems. But, day after day, there are results. And they make you happy. First I made these squares on magnetic paper.

Nothing worked right away (even for me).

In practice, I realized that they must be voluminous and not cardboard. Therefore, I made it from foamiran 3-4 mm thick. These are very comfortable.

Foam kitchen napkins are also suitable. This is how we put it together. So far, 2-3 squares at a time.

The Nikitins have developed a whole system of classes with these things. He suggests starting by sorting by color. To do this you need to have squares of different colors. We have been sorting by color for a long time, we are no longer interested.

Cuisenaire sticks. I think no one will be indifferent to these little bars. We are no exception. At first we arranged them by color.

Then we found diagrams on the internet. Download. Upon closer examination of the diagrams, it turned out that they were complex for a 2-year-old. I began to draw diagrams “by hand” on checkered pieces of paper, having first measured the sticks themselves.

Then I drew beautiful ones in the Coral program. Download.

The game itself is a good tool for learning mathematics, quantities, and segments. Develops imagination.

Working with visual aids

With these visual aids I teach stereometry classes in grades 10-11 in preparation for the Unified State Exam. Obviously, a mathematics tutor who uses real three-dimensional analogues of drawings will be able to quickly develop in a student the necessary skills in working with polyhedra. Models facilitate the perception of task conditions and help the tutor develop the student’s spatial thinking. Errors associated with incorrect reading of the drawing are prevented and the process of searching for algorithms for solving complex problems is accelerated.

Hover over the photo and click on it. It will open in a larger scale.

Pay attention to the special fasteners on the ribs of the models. They are moving and I can fix any positions of any sections with them. This allows you to complete models to their exact compliance with the conditions of a specific task.

We can simulate sections, draw lines in faces, show the height of a pyramid, the height of a prism, apothemic and edge triangles and much more...

Instead of having to sort through the numerous clutter and distortions of the notebook analogue of the task, it can be recreated in reality.

The use of real models by a math tutor helps the student recognize

  • crossing lines
  • perpendiculars to planes
  • angle between straight line and plane
  • angle between planes

When solving problems, the student is given the opportunity

  • pick up the model
  • turn it towards you with a convenient side
  • insert a piece of paper simulating a section
  • draw any lines in the section
  • designate the vertices of the section A, B, C...

It’s convenient for a math tutor to use models

  • provide explanations for tasks
  • introduce the student to the types of polyhedra and their properties
  • indicate errors in identifying various angles
  • prove stereometric theorems and derive formulas

Excerpts from tutors' letters:

Vera Viktorovna, retired mathematics tutor “Your stereometric models are excellent. Did you really make them yourself?! Or were they bought? Can you please tell me where I can order the transparent manuals? Maybe one of your familiar tutors makes them? I would be happy to use their services.”

I didn't buy anything from anyone except the materials for assembly. All the models were made by my own hands in the summer at the dacha and, as far as I know, none of the math tutors in Moscow offer anything like this. At least no one has open models. It is unlikely that you will be able to buy them, and certainly no one assembles them to order. This is a very troublesome task. I spend an average of 5-6 hours on each copy. I trim, clean, adjust.

Krayuvtseva I.P., novice teacher : “This is fantastic! I absolutely loved the models!!! I am a math tutor myself and spend most of my time preparing for the Unified State Exam. I constantly struggle with drawings in stereometry. Students cannot imagine the whole picture in a problem. How did you manage to fasten the ribs of the models together? Please share your production secret.”

I won’t reveal the secrets of the designs until the end. I can only say that for the ribs a coil of very stiff wire was used with an ideal diameter for the holes in the plastic fastening mechanisms.


To connect the side ribs to the base polygon, these fasteners were specially cut depending on the angles of the figure at the base. The easiest task was assembling the polygons for the bases. To do this, I removed the winding from a piece of another wire (soft), cut it into pieces about 1 centimeter long and simply inserted cut pieces of hard wire into each of them from different sides. Luckily for me, all sizes fit perfectly together.

Mathematics tutor about the “latest generation” models. Over the summer I started improving the visual aids. The ribs of the latest models are equipped with special sliders with holes through which you can thread a soft wire or a thick thread that imitates a cut mark. Click on the small photo that you see to the right of the text and it will open in a new window in an enlarged version. The photo shows such a slider close-up.


The sliders allow the math tutor to simulate traces from any sections of planes with the surface of a polyhedron.

Kolpakov Alexander Nikolaevich, mathematics tutor in Moscow.

Tags: Geometry, Tutor's manuals, Stereometry tutor, Mathematics tutors

Didactic games in mathematics for preschoolers

Do-it-yourself mathematical games for kindergarten
Author : Elena Nikolaevna Petrichenko, senior teacher of the Children's Educational Institution "DSOV No. 50" of the village of Novomyshastovskaya description of the material: didactic board games made of cardboard for working with preschool children. Can be used by teachers and parents. Used in classes on the formation of elementary mathematical concepts. Goal : development of elementary mathematical concepts and logical thinking. tasks : 1. develop logical thinking 2. form and consolidate the concept of the quantitative value of a number up to 20 3. form and consolidate the concept <,>, = 4. consolidate counting within 20
Game “Feed the Penguin”

goal: study and consolidate counting in the range from 10 to 20. material: cardboard penguins with numbers on their stomachs, a set of cardboard fish.

Progress of the game: children are given penguins, all the fish are laid out in the middle of the table. Children need to “feed” their penguin with fish, placing the number of fish near it that is indicated on the tummy. The one who does it faster and correctly wins.

Game “Easter Hen”
Purpose : to consolidate the quantitative composition of numbers and ordinal counting from 1 to 12. Material : cardboard chicken with a window for a ruler, cardboard ruler with numbers, a set of cardboard Easter eggs


Progress of the game: a number is set in the window on the chicken using a ruler. The child selects as many eggs for the chicken as indicated in the window.

Game “Crocodiles”
Purpose: to introduce and reinforce the concepts of “more”, “less” and “equal” Material: cardboard cards with numbers from 1 to 10. cardboard signs “<,>,=” in the form of crocodiles.


Progress of the game: children are given two cards with numbers and a set of signs <,>,=. The task is given to put the required sign between the cards. The one who does it correctly and quickly wins.


The following version of the game is also possible: children are given counting cardboard material and are asked to place a certain number of pictures on the left and right in a column (for example, 7 and 5). Then the children are asked to put a <, >, = sign between the columns.

Game “Insects”
Purpose: formation of logical thinking, orientation on the sheet, on the cells. material: blank 4×4 cell board, set of cardboard insects: flies, ladybugs, bees, diagram cards.


Progress of the game: the child is given an empty tablet, a diagram and a set of insects. You need to place the insects on an empty plate in accordance with the marks on the diagram. fly - black circle bee - yellow circle ladybug - red circle From the beginning, the child is offered simple diagrams, where not the entire tablet is filled in, then the tasks become more complicated.


scheme:

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