Teaching math to preschoolers


How to Teach Maths to Preschoolers

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Children start developing their mathematical skills while they are still babies exploring their environment and continue into their preschool years.

By the time they are learning formal mathematical concepts in the first grade, the foundation for success is already set.

Here are some tips for how to teach maths to preschoolers at school or at home by using hands-on activities and following a concrete-pictorial-abstract approach.

What are Early Maths Skills?

Early maths refers to the mathematical concepts and skills a child builds informally during the first few years. These are also called pre-maths skills or early numeracy skills.

It is essential to first develop these before trying to introduce maths concepts that are too advanced.

When introducing your child to maths, you may immediately think of numbers and start with counting, recognizing the numbers and adding or subtracting them.

While learning to count to 10 is fun for young kids, understanding the value of these numbers and what they represent is an advanced skill.

If you ask a very young child to count 5 objects by touching them one at a time, you might see them count the same object twice or skip over some.

It’s important to first understand how children learn mathematical concepts and then help them develop early mathematical skills.

How Children Learn Maths: The Concrete Pictorial Abstract Approach

The three stages of learning any mathematical concept are concrete, pictorial and abstract.

The Concrete Stage

In the concrete stage, children need to physically experience a concept. They need to develop an understanding of one item by holding one block.

By playing with concrete objects, children form the concept that there can be one object, multiple objects, less objects, more objects, etc.

Many mathematical processes are going on while children build a tower of blocks or make mud cakes in the sand pit. They learn concepts such as more, less, one more, not enough, how many, plenty, fewer, take away and add on.

Children compare objects and learn that a value can be attached to objects.

The Pictorial Stage

In the pictorial stage, which follows the concrete stage, children are able to see a picture of objects and understand that it represents real objects.

For example, a child can look at a picture and understand that the 4 leaves represent 4 actual leaves.

Later on, a child can see a dice with 4 dots on it and assign the value 4, knowing that the dots could hypothetically represent any object.

They would then be able to add the 4 dots on one dice to the 3 dots on another and say there are 7 dots altogether.

The Abstract Stage

This is the final stage of understanding a mathematical concept. It means that a child can look at a sum, e.g. 4 + 3, written in number symbols, and add them without concrete objects or pictures.

The child has matured enough to understand that the symbols 4 and 3 represent a number of objects to be added.

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Are Preschoolers In the Concrete, Pictorial or Abstract Stage?

Preschoolers are mostly in the concrete stage.

In fact, up until the third or fourth grade, any teacher worth their salt will still introduce a new concept in a concrete way before moving on to books or worksheets with examples to solve.

When children understand a concept concretely, it is then much easier to solve abstract problems.

This means that in the preschool years, trying to push a child to count pictures of objects or understand the value of the number symbols is premature and will cause frustration.

You may want to expose your child to numbers (e.g. playing with wooden numbers like these or magnetic number tiles) or rhymes that teach counting, but do not expect your child to understand the value of these numbers yet.

How to Teach Maths to Your Preschooler: 15 Simple Activities

The best method for teaching mathematics in early childhood is through their main medium of learning – play.

This means that during these early years children don’t need formal lessons, activity sheets and workbooks. Maths for preschoolers should be all about fun.

Here is a list of just a few basic everyday opportunities that double up as the perfect preschool maths activities.

1.

Play With Shapes

Playing with foam or wooden shapes familiarises your child with basic geometric shapes, as well as their properties. It teaches shape recognition.

2.

Make Shape Pictures

Cut basic shapes out of coloured paper and make a picture out of them. Children learn to join 2D shapes together to make different forms.

Tangrams (like these) are great for making pictures with shapes.

3.

Build Puzzles

Puzzles are excellent for developing visual perception and will build a child’s understanding of geometry.

Choose good quality wooden puzzles with a wooden tray.

4.

Play With Pegboards

Pegboards are another great activity for building maths skills in preschoolers. They develop number concepts and geometrical knowledge.

5.

Build Forts

This may not seem like a maths activity, but building forts and other structures and climbing inside them is the first step in a child learning about space and shape. These early play sessions are a must.

6.

Use Manipulatives

There are so many benefits of playing with blocks that children should have opportunities to play with blocks and all kinds of manipulatives daily.

Offer beads, counters and objects for loose parts play. There are also many benefits of Lego and other construction toys.

Playing with blocks is the first step in building a number concept and every child should have a good set of wooden blocks at home. This set is perfect for the classroom or home.

7.

Make Mud Pies

When children play in the sandpit and make mud pies and other structures, they begin to use terms such as “I need to make another one,” “There are 3 cakes” or “I made one for each of us.”

8.

Learn Counting Songs

Counting songs are a fun way for a young child to learn to count forwards and backwards. This is known as rote counting.

They also learn about increasing and decreasing quantity in songs such as Five Green Bottles.

9.

Play With Numbers

Let your child play with foam, rubber, wooden or plastic numbers in the bath or on a magnetic board. Because they are physical objects, your child can touch them and feel their shapes.

This is far more meaningful to a young child than looking at numbers on an activity page. With time, they will naturally learn to recognize them and know how they are formed.

10.

Make Playdough Numbers

Playdough is one of the best substances out there, with some amazing benefits.

Get kids to mould the numbers out of playdough. This sensory activity will imprint the numbers in your child’s mind far quicker than trying to write the numbers on paper.

11.

Play With Containers

Provide containers of different sizes and shapes and let your child discover the basics of capacity while having fun in the bath or sandpit.

Baking is a great mathematical experience. Let your child be involved in measuring the ingredients to introduce them to units of measurement and quantities.

12.

Measure Objects

Ask your child to measure certain objects – such as a book, table or room – using body parts like hands or feet, and later objects, such as a block or book.

Children must first learn to measure length using non-standard items before they can be introduced to standard measurements.

13.

Talk About Time

Find opportunities daily to talk about time. Use the daily routine as a starting point.

Discuss concepts such as the time of day (morning, afternoon) as well as clock time (“I’ll pick you up at 12 ‘o clock after storytime”).

14.

Play With Objects

Give kids different objects and ask them to feel which are heavy or light and to compare the weight of different objects.

Use a balancing scale (or make one) and place various household items on it.

15.

Problem Solve

Problem solving can be the most, um… problematic, of all the maths tasks! Children in the grades often struggle to visualize problems and what they actually mean.

They often resort to guessing operations (e.g. it says more so I should add) without having any idea what the problem is actually about and how, when visualized, the solution is usually so logical.

The best way to prepare children for problem solving is to give non-stop opportunities to actually solve real problems.

Encourage children to develop critical thinking skills.

You don’t necessarily need to be giving mathematical problems, just general problems that require training the brain to think, and think outside the box.

Allow many opportunities to:

  • Build puzzles
  • Solve brainteasers such as tangram puzzles
  • Solve riddles
  • Play games that require thinking
  • Play with construction toys (e.g. figuring out how to make a bridge that doesn’t fall)
  • Discuss problems and solutions during storytime
  • Ask children for solutions to everyday problems

As you can see, most play experiences have hidden opportunities for learning maths.

Learn to recognize them and use them to consciously teach certain skills. Remember to introduce new vocabulary and ask questions constantly during play.

Introduce words such as: heavier, lighter, longer, shorter, earlier, later, more, less, more than, less than, fewer, extra, not enough, altogether, left, another, full, empty, matching, same, different.

I hope you’ve enjoyed reading this article and have some new ideas to try.

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31 play-based ways to teach math to preschoolers

Play-based math lessons for children ages 0-5

Even before children reach preschool age, they start to develop their mathematical skills as they interact with — and learn from — the world around them. When the skills they learn relate to numbers and math, they're known as early math skills, which are the skills and concepts a child builds during the first few years of their life.

Sometimes, these skills can also be referred to as pre-math skills or early numeracy skills. Before children can get to what adults think of as math, like addition and subtraction, there are actually some steps to learning mathematical concepts they must satisfy in order to advance.

Babies: Math skills learned at 0-12 months old

  • Babies begin to observe the shape, size, and color of objects between 0-4 months
  • They can tell the difference between a picture that shows 2 things and a picture that shows 3 things (though they obviously can’t communicate it)
  • They begin to predict things and might be surprised if something that typically happens twice happens three times
  • Begins classifying objects, for example, toys that have sound and toys that don’t
  • Develops an understanding of cause and effect (this is one reason babies like to throw food - they throw, you pick it up - cause & effect)
  • Starts to understand relative size - for example you are bigger than they are
  • Around nine months babies can start to tell the difference between groups of items that have different quantities, for example one group has 5 toys and one group has 10
  • Starts to understand words that describe quantities, for example bigger, smaller, more

Children develop math skills from birth!

Toddlers: Math skills learned at 1-2 years old

  • Toddlers begin to recognize and name numbers
  • Learns to recite the numbers 1-10, though they may skip some numbers
  • Develops an understanding that numbers represent quantity - for example when you hold up two fingers
  • Matches and groups basic shapes
  • Starts to understand words that describe measurements, for example faster, slower
  • Develops interest in measurement, for example pouring into, and emptying, a cup
  • Starts noticing patterns in their environment, including their daily routine and in things like wallpaper

Preschoolers: Math skills learned at 3-4 years old

  • Further develops classification skills and compares things using groups, like age or height
  • Understands that numerals stand for number names
  • Notices shapes in their environment
  • Counts up to 20 or beyond and can count numbers in a group
  • Spatial awareness improves
  • Begins predicting what will happen next based on their understanding of cause & effect

Play-based approaches are the best way to develop math skills in preschoolers.

Kindergarten: Math skills learned at 5-6 years old

  • Learns to count on fingers, counting to five on one hand and starting with six on their other
  • Recognizes numerals up to 20 or beyond
  • Begins identifying the larger of two numbers
  • Starts to understand broad time concepts like the days of the week
  • Follows multi-step directions when instructed to do something first and next

How to teach math to preschoolers

Children learn best through play and learning math is no exception. But, you don’t need to spend hours setting up math lessons - there are play-based ways to incorporate math into almost everything you do. Remember, math skills go far beyond counting, addition, and subtraction. Math is problem solving, estimation, spatial relations, representation, patterns, and more.

31 Ways to teach preschoolers math

1. Board games

Board games are one of the easiest ways to teach preschoolers math. There are countless opportunities to count! Some of our favorites are Count Your Chickens, Hi Ho Cherry-O, and Hoot Owl Hoot.

Preparing #Teachers to Teach #Math https://t.co/DnyohQ6N68 #earlyed #preschool #childcare #children #parenting #kids #investinkids pic.twitter.com/nQ76MZdwfC

— 4-C (@4cwisconsin) December 16, 2016

Board games, like Count Your Chickens, develop math skills like counting.

2. Card games

Grab a deck of cards and play Go Fish or Uno. Cards are filled with numbers, shapes, colors, and patterns. War is a super simple game to play to help preschoolers remember which numbers are bigger and which are smaller.

3. Memory matching games

Memory matching games are all opportunities to practice math skills, not just by matching, but when you count how many matches each person has. You can pick one up with your child’s favorite character or use a deck of cards you have on hand.

5. Building blocks

Basic building blocks are one of the best toys for play-based learning around and the possibilities to develop math skills are endless. Break out the blocks and as they play, ask your child questions about shapes, the number of sides a block has, and how many blocks they can stack before their tower tumbles.

6. Read books

We think of books as a way to teach children to read, but there are many play-based ways to teach math using books. Books that have children finding hidden objects, like the I Spy series, are opportunities for counting and pattern recognition.

But, even books that aren’t activity focused provide chances to teach math skills to preschoolers. You can start by simply pointing out page numbers in books, which will help your child with number recognition and help them associate meaning behind the number. Ask your child to turn the page and tell you what the next page number is.

 

I Spy books are filled with riddles and help develop math skills in toddlers.


6. Find numbers in the environment

We’re surrounded by numbers, which means we’re also surrounded by opportunities for learning play-based math skills. If you’re out and about, make a game out of finding numbers on signs, license plates, in the grocery store, and on clothing tags.

7. Sing counting songs

Music is such an important component of child development and is also a great tool to help preschoolers learn math! YouTube and Spotify have large collections of songs that help develop math skills in preschool children, or just ask Alexa! Songs and rhyming are long-used mnemonic devices to help aid in recall.

8. Set the table

Everyday chores can be fun when you create a math game out of it. Practice counting utensils, plates, napkins, and glasses. Plus, when you fill up your glasses (or drink from them) kids can develop an understanding of measurements.

Find everyday opportunities to incorporate play-based math into your child's day.

9. Play with stickers

Take the opportunity to create patterns and practice counting.

10. Bake cookies

Baking and cooking are filled with opportunities to develop math skills. As a bonus, following a recipe helps children learn to connect written words to an action.

11. Online games

Most parents give their children screen time and nowadays, there are so many apps available that incorporate play-based learning, including math. It’s hard to know where to look and which ones are actually good. This list of 27 online educational games for kids is a great place to start, since it’s broken down by academic category as well as age.

12. Go shopping

Shopping can be a great time to introduce preschoolers to financial literacy, which is a key math skill. Pay in cash and have them help count the money.

 

13. Do a puzzle

Problem solving is one of the most important math skills a preschooler should develop and puzzles are all about problem solving.

14. Play hopscotch

Hopscotch is a numbers game. Grab sidewalk chalk and head outside or painter’s tape and create an indoor board on a rainy day.

Hopscotch is a game of numbers and a fun play-based math lesson for children!

15. Mealtime math

Mealtime is a great time to teach math skills to preschool children. Who has more? Who has less? The glass is half full. How many chicken nuggets are on the plate? How many after you eat one?

16. Sort laundry

17. Dance

Is dancing math? Absolutely! Music uses an 8-count, which is a perfect time to practice math skills.

18. Hang up a growth chart

Math includes measurements and kids love to see how much they’ve grown. Pick one up that includes centimeters and inches and compare the two.

19. Play with tangrams

Tangrams are a super engaging way to help preschoolers learn math. Tangrams are a Chinese geometric puzzle that has seven pieces. The pieces can be rearranged to make other shapes.

 

Tangrams, like these from We Are Mom Friends, develop math skills like spatial relations and problem solving.

20. Shoot pool

You may have to grab a stool for your preschooler to stand on, but billiards is a math game filled with geometry.

21. Jump

Grab a tape measure and start jumping. You can help your preschooler work on math skills like height, distance, and measurement.

22. Hit the arcade

The arcade is filled with opportunities to practice math. Like billiards, games like pinball, air hockey, and skeeball are games of angles. Of course, checking your score is a math lesson. And if your local arcade gives tickets for prizes, there’s another chance to practice math.

23. Clean up together

Cleaning can be fun and a math lesson for your preschool-age child. Organize while you clean and help your child learn sorting and categorization.

24. Eat pizza

Pepperoni or cheese - it doesn’t matter. Eating pizza is a math lesson in shapes, fractions, and subtraction.

25. Pick flowers

Head outside and pick some flowers (or just look at them if you don’t want to disturb nature). Count the petals and compare different flowers for an easy math lesson.

26. Play dominoes

Every child loves knocking over dominoes. But, they’re also a great way to help teach preschooler math, including the dot patterns, counting, addition, and subtraction.

27. Build with legos

Legos offer so many opportunities to practice math, including counting, geometry, grouping, patterns, addition, and subtraction.

28. Take a walk

There’s no need to create elaborate projects when teaching math to your preschooler. Head out for a walk and find shapes in nature or create a scavenger hunt. Find 10 flowers, 9 trees, 8 insects…

29. Look at bugs

While you’re out on your walk, look for some bugs for a quick and easy math lesson. How many legs does an insect have? What about a spider? Which has more? How many dots on a ladybug?

30. Play with cars

Cars are a math lesson when you start counting tires and group them by size or color. Even more, racing cars is a math lesson too when you time them and compare speed.

31. Create a countdown

A holiday, birthday, or other big event is the perfect opportunity to practice math. Create a countdown to the big day and talk about how many days have passed since you started and how many you have left.

Make learning math fun 

Remember, math goes well beyond counting and arithmetic. Take a play-based approach and look for simple opportunities to incorporate math lessons into your day. You’ll see your preschooler’s math skills develop in no time!

Have a favorite play-based way to teach math? Leave it in the comments below.

 

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          Mathematics education in the preschool educational institution

          Mathematical education in the preschool educational institution.

          Modern approaches to the formation of the foundations of the mathematical culture of preschoolers.

          The entry of children into the world of mathematics begins already in preschool childhood. Mathematics is a universal method of cognition of the surrounding and objective world, and its role in modern science is constantly growing.

          Changes in conceptual approaches to determining the content and choice of methods for teaching mathematics at school, the widespread use of modern educational technologies have also determined the requirements for the mathematical preparation of preschool children. nine0015

          Today "mathematics is more than a science, it is a language". The study of mathematics improves the culture of thinking, teaches children to reason logically, educates them in the accuracy of their statements. Mathematical knowledge and skills are necessary for the successful adaptation of the child to the processes of social communication, informatization and technologization of society. They broaden the horizons of the child. Mathematical culture is an integral part of the general culture of the individual, and in the period of preschool childhood it has its own characteristics associated with the age and individual capabilities of children. nine0015

          Traditionally, there are four lines in the content of mathematical education for preschool children: arithmetic, algebraic, geometric and magnitude. Today, taking into account the renewal of the content of preschool education, a fifth content line is added - algorithmic (schemes, models, algorithms). The use of information in a symbolized form contributes to the development of the ability to act mentally, develops logical and creative thinking, and imagination.

          The adoption of the Federal State Educational Standard for preschool education will require the need to provide, as a prerequisite, the possibility of self-realization of the child at all stages of work on mathematical development in the preschool education system. nine0015

          Mathematical material should be revealed during excursions, acquaintance with literary works and small forms of folklore, games with natural material (water, sand, beans, peas, cereals), through game exercises with sensory standards, household items, constructive and didactic games , in problem situations. All these forms vary according to age.

          During their stay in kindergarten, a graduate must learn to apply mathematical knowledge and ideas in practical activities that are significant for him: play, children's experimentation, design, work, art and visual.

          nine0015

          And as a result of self-realization, the child will develop learning motivation. Thus, the priority tasks of continuous education of children will be solved.

          The concept of mathematical education in the Russian Federation

          The importance of mathematical education is evidenced by the adoption of the Concept for the Development of Mathematical Education in the Russian Federation (December 24, 2013 (No. tasks and main directions of development of mathematical education in the Russian Federation. nine0035

          Goals of the Concept:
          to bring Russian mathematical education to a leading position in the world.
          Mathematics in Russia should become an advanced and attractive field of knowledge and activity, the acquisition of mathematical knowledge should be a conscious and internally motivated process

          Modernization of the content of curricula for mathematical education at all levels (with ensuring their continuity) based on the needs of students and the needs of society in general mathematical literacy, in specialists of various profiles and levels of mathematical training, in high achievements in science and practice; nine0015

        • Ensuring that there are no gaps in basic knowledge for each student, forming among the participants of educational relations the attitude “there are no children incapable of mathematics”, ensuring confidence in an honest and adequate state final assessment, providing teachers with diagnostic tools (including automated ones) and overcoming individual difficulties;

        • Ensuring the availability of publicly available information resources necessary for the implementation of curricula of mathematical education, including in electronic format, tools for the activities of students and teachers, the use of modern technologies in the educational process; nine0015

        • Improving the quality of the work of mathematics teachers (from pedagogical workers of general education organizations to scientific and pedagogical workers of educational institutions of higher education), strengthening the mechanisms for their material and social support, providing them with the opportunity to refer to the best examples of Russian and world mathematical education, the achievements of pedagogical science and modern educational technologies, the creation and implementation of their own pedagogical approaches and copyright programs; nine0015

        • Support for leaders in mathematics education (organizations and individual teachers and scientists, as well as structures formed around leaders), identifying new active leaders;

        • Providing highly motivated students with outstanding mathematical abilities with all conditions for the development and application of these abilities;

        • Popularization of mathematical knowledge and mathematical education.

          nine0015

        Basic provisions for the implementation of the concept
        Every citizen of Russia, regardless of age, has the right to free mathematical education, taking into account his professional orientation and individual intellectual needs. The system of mathematical education provides equal starting opportunities and takes into account the already achieved level at each stage.
        Mathematics education is carried out in educational institutions of preschool, basic, vocational and additional education, higher educational institutions, in the family, in the form of self-education, as well as in the form of public educational associations. Responsibility for the results of mathematical education of a citizen of the Russian Federation is jointly borne by the state, parents and the citizen himself. nine0035 The main customer of mass general mathematical education is society. The state forms this order at all levels, based on the needs of industry and business, the country's research base, healthcare, public administration and education institutions, and provides support, including funding for this order.
        In the public interest, the state provides administrative, legislative and financial support for fundamental and applied mathematical research that meets the needs of science, culture, the economy and the military-industrial complex of Russia. nine0015

        Theory and methods of mathematical development of preschoolers

        Contents

        1. Why is this so important?
        2. What skills should be formed in the child by the end of the preschool period?
        3. Necessary conditions for conducting mathematical classes with a child
        4. Features of the formation of mathematical representations depending on age
        5. What methods are best used to develop mathematical representations of a preschooler? nine0053
        6. The structure of a mathematical lesson for a preschooler

        Preschool age is a time when the cognitive, moral, physical development of a child is especially intensive. In particular, it is up to the age of 5-6 that a child acquires more than half of the total thinking skills that will be useful to him in the future. That is why it needs to be given special attention. In particular, it is at this age that the first mathematical skills should be deposited in the child. Consider the theoretical foundations of the mathematical development of children of younger and older preschool age. nine0007 Kindergarten math class, senior group

        Why is this so important?

        1. Mathematics is one of the most significant subjects. However, it is he who often causes considerable difficulties for students
        2. The study of this subject has a beneficial effect on the cognitive abilities of the child (thinking, memory, speech)
        3. Mathematical skills improve the emotional-volitional sphere, form perseverance and purposefulness
        4. Improving the basics of the child's imagination
        The role of mathematics in life

        What skills should a child have by the end of the preschool period?

        By the end of the preschool period, the child must have the following mathematical skills and abilities:

        • Ability to compare values ​​according to basic characteristics; the formation of ideas about the concepts of "more-less", "higher-lower", etc.
        • The ability to group objects according to their basic properties (bases - size, color, purpose, material, shape)
        • Ability to compare part-whole; the ability to assemble a picture from at least 12-24 fragments
        • Formed counting skills and the ability to perform mathematical operations with numbers within ten
        • Formation in children of quantitative and qualitative representations of the subject
        The essence of mathematical development

        Necessary conditions for conducting mathematical classes with a child

        What is the theory and methodology of mathematical development for preschoolers based on? In order for the lessons to be truly interesting for the child, and for them to learn information faster and easier, they must be built taking into account the following recommendations:0007

        1. Use of visual didactic material, selected taking into account the age and other individual characteristics of the child
        2. The lesson has a clear plot, according to which its development will take place
        3. Selection of tasks in strict accordance with the age characteristics of the child, the level of his intellectual development
        4. Using a variety of methods and forms to create the basis of work (these include solving logical problems, didactic games, working with handouts, etc. )
        5. Multitasking (focus on the development of spatial, temporal, quantitative representations)
        6. Using the game form of conducting classes
        7. Emphasis on the formation of game motivation; elements of surprise and surprise
        8. Helping a child not only to master a certain system of knowledge and skills, but also to develop his skills of independent cognitive activity, independence of judgment, etc.
        9. Formation of an optimal developmental environment for the development of basic cognitive processes in a child
        10. Teaching children to perceive the quantitative and qualitative features of objects, the formation of appropriate ideas
        Tasks for the development of mathematical abilities

        Features of the formation of mathematical representations depending on age

        Considering that preschool age is conditionally divided into three main periods, goals, tasks, as well as methods and forms of mathematical education of children will also differ.

        Junior preschool period. At this time, the necessary mathematical skills and ideas are just beginning to develop. Therefore, the child needs to be given an idea of ​​​​basic operations. The best games for developing thinking skills are children's mosaic (from 5 fragments), addition of geometric shapes (from 4 parts). The methodology for the development of quantitative and qualitative ideas in preschoolers requires special attention. nine0007

        Middle preschool period. There is an active development of the sign-symbolic function of consciousness. The child can already be taught to count and the simplest mathematical operations. The foundations of logical thinking are laid. Among the most preferred games are: "Ridiculous", "Count objects," Find a pair, "Math Lotto", "Domino figures". To develop the analytical and synthetic abilities of a child, he can be offered games like a tangram, where he will need to make a geometric figure, an animal silhouette, etc. from separate parts. nine0007 Individual lesson to determine the level of mathematical development

        At the senior preschool age for children, the independence of the child, his ability to self-organize, begins to play an increasingly noticeable and significant role. Logical thinking plays an increasingly important role.

        The child begins to try to compose stories from pictures, make logical series, observing the correct sequence of elements.

        Math tests for toddlers 3-4 years old

        What are the best methods to use to develop the mathematical concepts of a preschooler?

        The visual method plays the most important role in teaching children mathematics, especially when it comes to the younger preschool period.

        Methods for the development of mathematical knowledge

        There are the following types of visual method of teaching:

        • Work with handouts or demonstration material. Using a plotless or plot method (you can take the plot of any fairy tale familiar to the child, where the score or numbers would appear as a basis)
        • Volumetric or planar. Lessons using special counting materials (e.g. children's abacus, sticks, dice, etc.)
        • Homemade or factory made.
        Handout for mathematical classes

        In order to use the visual material more effectively, it is necessary to build developmental classes taking into account the following patterns:

        1. The study of each new topic should begin with a more voluminous visual material. This will make it easier for the child to understand
        2. As the child grows older, it is necessary to make sure that the proportion of voluminous and narrative visual material decreases, while the proportion of flat and plotless visual material increases
        3. It is desirable to use several types of visual material to solve one program problem
        4. It is highly desirable to familiarize the child in advance with material that is new to him

        Separately, it is worth considering the requirements for visual aids.

        Didactic material for classes

        As we have already indicated above, it can be either factory-made or made by the hands of parents. However, it is important that it comply with the following:

        • Hygienic. Toys must be made from environmentally friendly, safe materials and have all the necessary certificates
        • Aesthetics. Attractive material is more likely to attract baby's attention
        • Reality, allowing the child to perceive the material being studied without distortion
        • Robust and reliable
        • Variety and sufficient quantity to be able to use variable techniques
        • The principle of a logical construction that combines the basics of the material
        • Uniformity
        Play corner with didactic materials

        A significant advantage of the practical teaching method is that it explains to the child to the fullest extent why he is studying this or that material. And how exactly the knowledge gained can be useful to him in the future?

          1. Active application in practice of a variety of didactic material
          2. Performing a variety of both mental and practical activities
          3. Development of the skill of predicting the result of actions with didactic material of various types
          4. Not only teaching the child mathematical skills, but also a detailed explanation of their role in the child's life (in play activities, in everyday life, etc. )

        The verbal teaching method is based on the direct interaction of the child with a parent or educator. nine0005

        That is why the main requirements for this method will be directed to the speech of the participants in the process

        The speech of a parent or educator must be:

        • Literate
        • Clear
        • Emotional and lively
        • Available
        • Benevolent
        • Moderately loud
        Speech development in mathematics classes

        The rate of speech, its intonation and other features must be adjusted depending on the individual age characteristics of the child. For example, a child of younger preschool age perceives rather slow speech much better; unformed memory processes require multiple repetitions. nine0007 The development of logic and spatial thinking in a playful way

        When talking with an older child, you can slightly speed up the pace of speech, as well as more actively use problem situations.

        Certain requirements are also imposed on the speech of children. It must be:

        • Competent
        • Contain the necessary mathematical terminology and basic mathematics by age
        • Legible and understandable
        • The child must speak in complete common sentences with the correct grammatical structure
        • Have sufficient volume

        The structure of a mathematical lesson for a preschooler

        The correct structure of the lesson is another important condition on which the methodology of the mathematical development of preschool children is built.

        Games used in mathematics classes
        1. Introductory part. Logic workout. Includes the most simple tasks for children, which should "warm up" the child's mind, interest him and prepare him for the lesson
        2. nine0050 The main part of the lesson, during which there is a study of new material for the formation of mathematical representations, or consolidation of what has already been studied.

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