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Number ideas for preschoolers


40 Awesome Number Activities for Preschoolers

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27 Apr

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Number activities for preschoolers don't have to be boring and just worksheets, make them fun so your preschooler will love math!

I love math. I’m a nerd, yes. But I love anything to do with numbers.

I really do hope I can pass this along to my kids by making learning activities about numbers and counting fun for them and not a chore.

As I’m typing this, Henry’s shouting excitedly as he’s counting how many things on his sprayer…though I’m not really sure what he’s counting exactly. He made it to 39 though!

Because I’m a huge math nerd I searched for easy and fun number activities for preschoolers.

My Favorite 40+ Number Activities for Preschoolers!

Try these activities to help preschoolers learn their ABCs!

Recognizing Numbers Activities for Preschoolers

Identifying numbers can be a learning experience for preschoolers (and younger!). Many of the ABC recognition activities can also be adjusted for numbers.

My kids love these 12 number activities for preschoolers to recognize numbers.

  1. Turn a number into sensory art – perfect for the 100th day of school!
  2. Go on a hunt for numbers and match it with the same number!
  3. Follow a number from start to finish in a maze.
  4. Trace numbers, really big!
  5. Little Family Fun created a parking lot with numbers.
  6. Pop! Find the number and pop it!
  7. Find and match playing cards.
  8. Have target practice with water balloons and numbers, like Motherhood on a Dime
  9. Make art! Do this paint by number canvas art.
  10. Use stickers and printable number cards to play hide and seek, from Teach Mama.
  11. Draw and paint over numbers with q-tips, like Toddler at Play!
  12. Clip and match with giant numbers from You’ve Got This Math!
Activities for Number Recognition

Counting Activities for Preschoolers

Learning there’s a sequence to the numbers and what comes next. Try these 18 number activities to help preschoolers learn to count.

  1. Connect the dots! A simple past-time activity that reinforces the order of numbers.
  2. Upcycle a box into a puzzle of numbers!
  3. Create a maze of numbers to drive through. Can they count their way to the end?
  4. Stacking up boxes and counting how high you can go!
  5. Make a craft together with multiple pieces. Have your child do the counting!
  6. Count cars of a particular color while on the road, or semis, or vans, whatever suits their interest!
  7. Create a learning game with your ABC mat and number blocks. Choose a number block and pound the corresponding times with a hammer on the corresponding number mat!
  8. Let your child run an experiment and measure how much something holds! How many cups fit?
  9. Make puzzles with a picture. Label sections of the puzzle in numerical order. Cut apart and have your child put it back together again, from Growing in PreK.
  10. Use friendly animal crackers to practice counting and number recognition, like I Can Teach My Child.
  11. Measure objects (or yourself!) and count how big they are, from The Imagination Tree
  12. Count objects around the house. No Time For Flash Cards wants to know “How many doors do you have?”
  13. Play any board game, or make your own! Little Family Fun creates a fish race game!
  14. Count with LEGO! Do Play Learn likes to label a paper with numbers and count out the LEGO next to it.
  15. Snack time! Use dice and fruit snacks and play until you eat them all up, like Kids Activities Blog.
  16. Have a bean bag toss on the stairs, number them!
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Counting Activities for Preschoolers

One to One Correspondence Activities for Preschoolers

Knowing your numbers is one thing and knowing how to count is another. But being able to put them into context that they each have meaning is done with one to one correspondence.

Get ready for preschool with 35 name activities!

I love these 12 number activities that help a preschool practice one to one correspondence.

  1. Head out into nature and explore flowers. Count and compare flower petals! 
  2. Go on a hunt for a number and match it to its corresponding dots.
  3. Build towers of blocks on a number mat, with the correct number of blocks high!
  4. Spark your child’s interest with their interests! A farming approach of loading grain bins with the corresponding number of pieces of “grain.”
  5. Have a newspaper throwing game and count up the newspaper balls, or how many you make, or miss!
  6. Make something in the kitchen together, or do an experiment and let your child measure out and do the counting.
  7. Sort through objects by color, and count how many you have of each!
  8. Fill a dump truck with objects (like Dominoes!) and count how many you can fit in there, like Inspiration Laboratories.
  9. Estimate first for some fun and then count item, from Teach Preschool.
  10. Have a counting race in the front yard and pick dandelions in the process!
  11. Roll a die (or two!) and practice one to one correspondence as kids build towers with blocks.
  12. Use a dice and small objects (like pom poms or corn kernels) and count them and fill up a tray.
One to One Number Activities for Preschoolers

Counting and number books that will get preschoolers excited about numbers:

  • The Baker’s Dozen: A Counting Book
  • I Spy Numbers
  • One Big Building: A Counting Book About Construction (Know Your Numbers)

Do you actively work on numbers and counting with your child? Share your favorite activities!


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About Jamie Reimer

Jamie learned to be a hands on mom by creating activities, crafts and art projects for her three boys to do. Jamie needed the creative outlet that activities provided to get through the early years of parenting with a smile! Follow Jamie on Pinterest and Instagram!

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50+ Number Activities for Preschoolers

These number activities for preschoolers include many fun, engaging, and hands-on ways to explore numbers with young children. If you’re looking for math activities for preschoolers and kindergartners that focus on numbers, you’ve come to the right place!

Below, you’ll find a variety of preschool number activities to suit your needs. They let kids practice early math skills like number recognition, number formation, one-to-one correspondence, and counting. There are even a variety of number printables perfect for early childhood classrooms.

And all of the number activities take into account how young children learn. So the ideas encourage hands-on exploration with numbers and manipulatives.

Coming up, you’ll find all of the number-related activities from Fun-A-Day. I’ll keep adding to the list as I share more here with you, so be sure to pop back and check.

Table of Contents

Number Activities for Preschoolers

Click on the links that interest you the most, and be sure to save your favorite ones! I’ve started a new Numbers Pinterest board if that’s where you like saving links.

These number activities will help you teach a variety of important early math skills, like:

  • One-to-one correspondence
  • Number identification
  • Number formation
  • Matching numerals to quantities
  • Numerical order
  • Skip counting
  • Subitizing

Counting Activities for Preschoolers

We can’t talk about number activities for preschoolers without touching on counting, right? The links below can all be used to practice concepts like those listed above.

While each of these are different math skills, they’re very much interrelated. And, depending on the ages and needs of your students, you will focus on different ones with the following ideas.

Of course, there will be more coming in the future, and I’ll be sure to add the links then.

Preschool Number Printables

As promised, I also have some printables to add to this collection of number activities for preschoolers! While I’m not a fan of preschool worksheets, that usually only serve one purpose, I do rather like printables that can be used multiple ways.

In fact, I have over 40 number printables perfect for preschool and kindergarten classrooms! You can check them out by clicking on the link below:

Free Preschool Number Printables

Like the non-printable number ideas, these printables have been used with kids in both preschool and kindergarten. And they’re all great ways to explore early math concepts. Here are a few of my favorites:

  • Rainbow Yarn Sensory Bin (with printable rainbow and gold ten frames)
  • Printable Bat Emergent Reader (that’s all about counting bats)
  • Snowman Roll and Cover

Okay, I’ll stop there. Since there are so many printable number activities for preschoolers, it’s best if you click through the link above. That way you can find just the right one for you and your kids!

Calendar Numbers

Okay, okay. So I didn’t stop there. Because I wanted to highlight a subset of the number printables. And those are the calendar numbers!

I highly recommend that you grab a few sets for yourself. You can use the number cards in SO MANY ways! They’re super easy to prep, and the illustrations allow for some whimsy throughout the year. Click on the link below to check them out:

Calendar Numbers

I have quite a few more planned out for the upcoming year. So be sure to save that post, too. That way you can get your hands on them as soon as they’re ready!

What is Counting?

Since I mentioned above the various skills these number activities for preschoolers can cover, I thought we’d chat a bit about what the terms mean.

We, as adults, tend to use the term “counting” to cover a few different bases. When it comes to early math, counting means determining the total number of items in a particular group.

Some examples of counting:

  • Holding up a finger for each year in a child’s age and counting them out loud. “One, two, three, four.”
  • Placing toy cars out on the table and counting them along the way.
  • Looking at five kids in line and counting them 1 through 5, sequentially.

So counting includes both numbers and sets of items. And the understanding that the last number said is the total of the items in the group.

What is Rote Counting?

If you’re here, you’re likely a teacher or caregiver of a young child. No doubt you’ve experienced said child practicing their counting (sometimes over and over and over again, right?!).

That’s rote counting – saying the numbers in order. Specifically, rote counting is reciting numbers in order (from memory). There are no specific objects being counted. The numbers are being said out loud in sequential order.

And, as with most things when it comes to young children, there are a few steps along the way to true rote counting. From toddlers saying, “One, three, nine . . .” to preschoolers counting to 20 but skipping 15, children work their way up to counting out loud.

What is One-to-One Correspondence?

One-to-one correspondence is the understanding that every object in a group can only be counted once; that every number corresponds with a specific quantity. It can also be explained as matching one item to one corresponding item or number.

This understanding is developed with lots of playful practice, in many different hands-on ways. Some examples of one-to-one correspondence in early childhood:

  • Putting a counting bear on top of a toy block – “I have one bear and one block!”
  • Placing manipulatives in a ten-frame, one frame at a time, with only one manipulative per square
  • Touching one toy at a time while saying the corresponding number out loud
  • Moving beads on a string as they’re being counted
  • Pointing to kids in line, one by one, and counting along the way
  • Counting each time a child hops on one foot

Most of the number activities for preschoolers included in this post can be used for counting with one-to-one correspondence. The activities help children move from rote counting to rational counting.

Matching Quantities to Numerals

One-to-one correspondence helps children learn that each number corresponds to a specific quantity. Using things like magnetic numbers or printable number cards can help kids move forward with corresponding quantities with numerals.

For example, you might place one of the calendar numbers on the table. It’s the numeral 5. Then your students can count out 5 Unifix cubes, one at a time, counting each one only once. So many early math skills are very much intertwined, so kids are exploring multiple concepts with each of the number activities for preschoolers.

Preschool Supplies for Exploring Numbers

Now that we’ve delved into all the fun number activities for preschoolers you can try out soon, let’s chat supplies. You don’t really have to have a certain type of material to teach kids about numbers. In fact, that’s one of the great things about preschool math – you can use items on-hand or already in your environment.

But, if you are looking for some suggestions, I’ve got you covered (I may get commissions for purchases made through links in this post):

  • Jumbo number magnets
  • Counting bears
  • Unifix cubes
  • Sandpaper numerals

Now you’ll have to tell me what YOUR favorite number activities for preschoolers are! Leave them in the comments below this post.

Done-For-You Number Activities for Preschoolers

Let Preschool Teacher 101 make your teaching life easier with fully-developed, done-for-you preschool resources. That way you spend more time teaching and living your life, and less time planning!

We’ve got quite a few number-themed math resources that your students will love! They help support your math lessons and allow kids to practice number skills. Click on the images below to read more about a few of our resources:

Fine Motor Numbers: DotsNumber PuzzlesRainbow Writing NumbersNumber Fluency Strips

And be sure to check out The Pack from Preschool Teacher 101, a membership for preschool teachers just like you. With over 100 lesson plans, over 130 supplemental resources, editable templates, trainings, and more . . . The Pack can save you a ton of time!

You can also find us on Teachers Pay Teachers.

Number series for preschoolers ✅ Blog IQsha.ru


Where does acquaintance with mathematics begin? Of course, from the account! First, preschoolers learn to count by memorizing numbers, and later add them. An important role in this is played by the concept of a number series.

How to explain to kids what a number series is

During the game, preschoolers easily and quickly memorize even complex information, so we advise you to explain to kids what a number series is, just like that.

Make up a funny story with the child's favorite toys so that they appear in turn, one after the other. For example, in the fairy tale “Teremok”, the first mouse came to the house, she was the first. Then a frog settled in the tower - now there were two of them. With each new animal, the number of residents increases: 1, 2, 3, 4, 5, 6! If there was more space in the house, then the animals too.

Using the example of a fairy tale or a story with toys, you show that the numbers go one after another, increasing by one. This is the number line!

Making a number series with preschoolers

It is very important not only to explain, but also to teach kids how to make a number series from 1 to 10. How to do it?


First of all, preschoolers need to understand the relationship between quantity, number and number. To do this, take any small items: buttons, marbles, bottle caps, pasta - put them in containers or just on the floor in quantity (1 button, 2, 3, ..., 10 buttons). Prepare cards with the corresponding numbers and then, together with the child, place them near each group of objects, explaining that each number of buttons has its own digital designation.

Shuffle the objects and ask the child next to each number to collect the same amount! Soon you will notice that the young why does it faster and does not make mistakes.

During the process, draw your child's attention to the fact that the buttons increase or decrease by one, and the numbers always go one after another. This is how the number line is formed!

Tasks about the number series


Tasks can be performed on paper, on improvised objects, toys, at home, on the street or in the car. It is important not to overload the baby if he is tired, and not to force him to do it if he does not want to. The task of parents is to captivate the child with the score, and not to discourage interest in mathematics in general.

Number Line Games

Here are some simple but fun and effective number line games.

“My home”

Prepare in advance cards with dots from 1 to 10. These will be our “residents” who are looking for their homes. “Houses” are containers or matchboxes with numbers corresponding to the number row. Shuffle the “residents” and invite the child to each of them to find their own home! If the preschooler is doing very quickly, make the task more difficult and arrange the houses in reverse order.

Domino

Great for practicing counting and remembering numbers. We advise you to use two sets of dominoes at once - a children's one with objects and an adult one with dots, combining them in the game.

Hide and Seek

You can reuse your baby's favorite toys or materials for this project. Arrange them sequentially in groups from 1 to 10 and ask the young detective to remember and turn away. Then remove a few things from different groups - the items are hidden! The task of the kid is to find the loss and indicate how much is missing to the correct score.

Number line exercises


To explain to a child what a number line is, take an ordinary ruler with clearly visible divisions, numbers in the form of large dashes and numbers. Show that there is an equal distance of one centimeter between each number. As in the number series, the next number is one more than the previous one. Later, at school, it is the number line that will be used for counting.

To consolidate the skill of ordinal counting, do easy and accessible exercises:

“Repeat after me”

Say numbers along the number line, making gaps. The child's task is to name the missing number. First let me look at the ruler to make it easier, then not. If your child can do it quickly, practice counting backwards.

“Write after me”

The exercise is similar to the previous one, but the adult does not pronounce the numbers, but writes them down, making passes. The advantage of writing is that you can skip several numbers in a row, complicating the task for a young mathematician! Suitable for middle preschool children who can write numbers.

“Order”

Have 10 baby toys sit next to each other, imagining that they are sitting on a number line. You name a number, and the child points to an object corresponding to this number on a straight line. You can play the other way around: you say the name of the toy, and the baby says the number.

Advice for parents


  • All games and exercises to develop numeracy skills should be played in an easy and calm environment. The task of the parent is to captivate the preschooler with mathematics.

  • Don't forget about regularity. Let the exercises be short, but systematic.

  • Use any objects and materials for counting, both indoors and outdoors. Count poles, porches in a neighboring house, cats, dogs, cars, trees, bins - everything that catches your eye!

For a fun memory, come up with a funny counting rhyme about your favorite cartoon or fairy tale characters and use it in the morning while exercising, make a number line out of cardboard and come up with a story by arranging a shadow theater. There are many ideas on how to captivate a child with mathematics! Turn on your imagination, add a little fantasy, and then test your knowledge in our exercises.

Perform developmental exercises from Aikyusha

Ekaterina Doroshina ,
teacher, IQsha methodologist, author of articles and exercises

Numerical knowledge in early childhood

Katherine Sophian, PhD
University of Hawaii, USA
(English). Translation: June 2015

PDF Document

Introduction

In recent years, there has been a sharp increase in the number of studies on the knowledge of numbers in young children. The focus of these studies is a wide variety of abilities and perceptions, ranging from the ability of infants to distinguish between groups containing a different number of objects 1.2 , until preschoolers understand numerals (words denoting numbers) 3.4 and counting 5.6.7 , as well as the inverse relationship between addition and subtraction 8.9 .

Subject

The study of young children's knowledge of numbers lays the foundation for setting standards for preschool education 10 and for developing a work program in mathematics for preschoolers 11,12,13 . In addition, mathematical knowledge acquired at preschool age affects further school performance and career choice in the future 14 . An analysis of school performance predictors based on data from six longitudinal studies found that children's math skills at school entry are more predictive of later school performance than reading skills, attention span, or socio-emotional skills 15 .

Issues

Numerical literacy is basically about understanding that numbers represent different things. Accordingly, studying how number literacy develops in early childhood leads to an understanding of how children come to understand the basic quantitative relationships that numbers and other types of quantities have in common, as well as the properties of numbers that distinguish them from other types of quantities.

Scientific context

Piaget's classic study of logico-mathematical development examined how children understand the general properties of quantities, such as seriation and the preservation of equivalence relations under certain kinds of transformations 16 . However, J. Piaget believed that this kind of knowledge appears with the development of concrete-operational thinking in children at the age of 5-7 years. Subsequent studies 17 have shown that young children possess numerical knowledge to a greater extent than Piaget admitted; and modern research indicates that babies have a wide range of abilities to operate with the numbers 18 .

Key Questions

According to the authoritative though controversial view presented in the modern literature on early numerical abilities, the brain is "hard-wired" to the number 19.20 . In support of this idea, the ability babies and animals to distinguish between the number of objects 21 . However, critics of nativist views on numerical knowledge (the philosophical doctrine that the brain is born with ideas/knowledge) note that mathematical thinking undergoes continuous changes in the course of development, that the concept of number is slowly differentiated from other quantitative dimensions 22. 23 , and numerical knowledge that appears at an early age is contextually determined 24 . Moreover, accumulated evidence suggests that language 24 and other cultural products and practices 25.26 make a huge contribution to the acquisition of numerical knowledge by young children.

Recent research results

Numerical knowledge in infancy

One of the most actively developing areas of modern research is devoted to the ability of infants to operate with numbers. Kobayashi, Hiraki and Hasegawa 1 used the discrepancy between visual and auditory information about the number of objects in the group in order to assess the ability of six-month-old children to distinguish between quantities. They showed babies objects that made a sound when they hit the surface, then dropped two or three objects behind the screen so that the babies heard the sound of each falling, but did not see the objects themselves. After that, they removed the screen, and the correct or incorrect number of objects was revealed to the gaze (3 if there were 2 impact sounds, and vice versa). Infants stared longer when the number of objects did not match the number of sounds they heard, suggesting that they were able to distinguish two objects from three. Other studies show that six-month-olds are able to pick up quantitative differences between more items, as long as they are significant. Six-month-old babies distinguish 4 from 8 27 and even 16 from 32 28 . However, if the difference is reduced (for example, 8 and 12), six-month-old babies are wrong 29 , and older children are more successful 2 . Thus, with age, infants develop the ability to distinguish between quantities more accurately.

Young children's knowledge of number relationships

Since numbers represent a quantity, basic knowledge about numbers is related to understanding that numerical quantities enter into equal and greater/less than relationships 30 . Research on infants reveals a surprising fact: for preschoolers, an important developmental achievement is their ability to compare groups of objects numerically, especially when this entails the ability to ignore other differing features.

For example, K. Mix 31 studied the ability of three-year-old children to quantify sets of 2, 3, or 4 black dots. The task was completed with ease when the objects that the children had to match with the dots looked like them (for example, black disks or red shells about the same size as the dots). However, the success of the task fell when the objects differed from the points in shape (for example, figurines of lions or objects of different appearance).

Muldoon, Lewis and Francis 7 studied the ability of four-year-old children to evaluate the numerical ratio of two rows of bricks (with 6-9 bricks in a row) in conditions where the length of the rows is deliberately misleading, ie. when two rows of different length contain the same number of elements or two rows of the same length contain a different number of elements. Most of the children relied on row length comparisons rather than element counts. However, after three training sessions, the results improved, especially in those children who were asked during the training to explain why the rows are equal or unequal numerically (the fact that the rows are equal or unequal, they were informed by the experimenter).

Unexplored areas

While experimental data on early childhood numeracy is growing exponentially, the lack of a general theory that unifies the full range of empirical findings limits our understanding of how the various data already collected fit together. with each other, and what questions still remain unanswered. In the literature on infancy, for example, competing hypotheses have formed the basis of numerous studies in recent years, but their results have not smoothed out the existing theoretical contradictions. When putting forward theoretical propositions, scientists must be aware of the results of all other studies, and their theories must be formulated so precisely as to allow empirical testing.

In addition, researchers need more information about the processes that lead to the development of number understanding at an early age. We know that many environmental factors affect the performance of young children, ranging from culture and social class 32 to parent-child relationships 33.34 and teacher-child relationships 35 . At the moment, science has little information in terms of volume, mainly from experimental studies with training 7,25,36 , about how a particular experience changes children's numerical thinking. Particularly useful would be those studies that provide summary data on (a) children's daily experiences with numbers and how these experiences change with age, and (b) the experimental impact of such experiences on a child's thinking.

Conclusions

The available research on how number knowledge develops in childhood supports four general conclusions that are of great importance for practice and administrative directives. First, the development of knowledge about numbers is multifaceted. Numerical literacy in early childhood is much more than just counting and basic arithmetic. Second, despite the evidence that infants already have the ability to recognize numbers, age-related changes are continuous. When comparing children of different ages, older children almost always perform better. Thirdly, variability is also ubiquitous. All children deal with different problems with numbers 9 in different ways.0120 37 , resort to different arguments when operating with numbers in various situations 3 and even give different answers when performing the same task in different attempts 5.38 . And, finally, the progress of children in the development of numerical knowledge is very susceptible to external influences. The success of the development of children's numerical knowledge is influenced by non-learning activities, such as board games 25 , specially organized, experimental activities aimed at explaining to children numerical relationships 7. 36 , as well as the forms and ways in which parents 33.34 and teachers 35 tell children about numbers.

Recommendations

An important contribution of early childhood numeracy research to practice and administrative guidelines is that its results can help to adjust the goals that are set for teaching preschoolers mathematics. Since the development of numeric knowledge in early childhood is multifaceted, the goals for educational programs should be much broader than simply teaching children numeracy and basic arithmetic. Numbers, like other quantities, are characterized by relations of equality and inequality. At the same time, numbers differ from other quantities in that they are based on the division of the total number into elements. Learning activities that encourage children to think about the relationships between quantities and how those quantities are affected by transformations such as division, grouping, or regrouping can speed up children's learning of these concepts. Due to the diversity and plasticity of young children's numerical thinking, curricula at this stage have great potential to increase children's knowledge of numbers.

Literature

  1. Kobayashi T, Hiraki K, Hasegawa T. Auditory-visual intermodal matching of small numerosities in 6-month-old infants. Developmental Science 2005;8(5):409-419.
  2. Xu F, Arriaga R.I. Number discrimination in 10-month-olds. British Journal of Developmental Psychology 2007;25(1):103-108.
  3. Mix KS. How Spencer made number: First uses of the number words. Journal of Experimental Child Psychology 2009;102(4):427-444.
  4. Sarnecka BW, Lee MD. Levels of number knowledge in early childhood. Journal of Experimental Child Psychology 2009;103(3):325-337.
  5. Chetland E, Fluck M. Children’s performance on the ‘give-x’ task: A microgenetic analysis of ‘counting’ and ‘grabbing’ behavior. Infant and Child Development 2007;16(1):35-51.
  6. Le Corre M, Carey S. One, two, three, four, nothing more: an investigation of the conceptual sources of the verbal counting principles. Cognition 2007:105(2):395-438.
    7. 9008 K, C, Francis B Francis B. Developmental Science 2007;10(5):694-711.
  7. Canobi KH, Bethune NE. Number words in young children's conceptual and procedural knowledge of addition, subtraction and inversion. Cognition 2008;108(3):675-686.
  8. Sherman J, Bisanz J. Evidence for use of mathematical inversion by three-year-old children. Journal of Cognition and Development 2007;8(3):333-344.
  9. Clements DH, Sarama J, DiBiase AM, eds. Engaging young children in mathematics: Standards for early childhood mathematics education . Mahwah, N.J.: Lawrence Erlbaum Associates; 2004.
  10. Clements DH, Sarama J. Experimental evaluation of the effects of a research-based preschool mathematics curriculum. American Educational Research Journal 2008; 45(2):443-494.
  11. Griffin S, Case R. Re-thinking the primary school math curriculum: An approach based on cognitive science. Issues in Education 1997;3(1):1–49.
  12. Starkey P, Klein A, Wakeley A. Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention. Early Childhood Research Quarterly 2004;19(1):99-120.
  13. National Mathematics Advisory Panel. Foundations for success: The final report of the National Mathematics Advisory Panel . Washington, DC: U. S. Department of Education; 2008.
  14. Duncan GJ, Dowsett CJ, Claessens A, Magnuson K, Huston AC, Klebanov P, Pagani LS, Feinstein L, Engel M, Brooks-Gunn J, Sexton H, Duckworth K, Japel C. School readiness and later achievement. Developmental Psychology . 2007;43(6):1428-46.
  15. Piaget J. The child's conception of number . Gattegno C, Hodgson FM, trans. New York, NY: Norton; 1952.
  16. Gelman R, Gallistel CR. The child's understanding of number . Cambridge, MA: Harvard University Press; 1978.
  17. Geary DC. Development of mathematical understanding. In: Damon W, ed. Handbook of child psychology. 6th ed. New York, NY: John Wiley & Sons; 2006:777-810. Khun D, ​​Siegler RS ​​Siegler, eds. Cognition, perception, and language .Vol. 2.
  18. Butterworth B. The mathematical brain . New York, NY: Macmillan; 1999.
  19. Dehaene S. The number sense: How the mind creates mathematics . Oxford, UK: Oxford University Press; 1997
  20. Feigenson L, Dehaene S, Spelke E. Core systems of number. Trends in Cognitive Sciences 2004;8(3):307-314.
  21. Sophian C. Beyond competence: The significance of performance for conceptual development. Cognitive Development 1997;12(3):281-303.
  22. Sophian C. The origins of mathematical knowledge in childhood . New York, NY: Lawrence Erlbaum Associates; 2007.
  23. Mix KS, Sandhofer CM, Baroody AJ. Number words and number concepts: The interplay of verbal and nonverbal quantification in early childhood. In: RV Kail, ed. Advances in child development and behavior .vol. 33. New York, NY: Academic Press; 2005:305-346.
  24. Ramani GB, Siegler RS. Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games. Child Development 2008;79(2):375-394.
  25. Schliemann AD, Carraher DW. The evolution of mathematical reasoning: Everyday versus idealized understandings. Developmental Review 2002;22(2):242-266.
  26. Xu F. Numerosity discrimination in infants: Evidence for two systems of representation. Cognition 2003;89(1):B15-B25
  27. Xu F, Spelke ES, Goddard S. Number sense in human infants. Developmental Science 2005;8(1):88-101.
  28. Xu F, Spelke ES. Large-number discrimination in 6-month-old infants. Cognition 2000;74(1):B1-B11.
  29. Davydov V. V. Logical and psychological problems of elementary mathematics as an academic subject. In: Kilpatrick J, Wirszup I, Begle EG, Wilson JW, eds. Soviet studies in the psychology of learning and teaching mathematics .Chicago, Ill: University of Chicago Press; 1975: 55-107. Steffe LP, ed. Children's capacity for learning mathematics. Vol. 7.
  30. Mix KS. Surface similarity and label knowledge impact early numerical comparisons. British Journal of Developmental Psychology 2008;26(1):1-11.
  31. Starkey P, Klein A. Sociocultural influences on young children’s mathematical knowledge. In: Saracho ON, Spodek B, eds. Contemporary perspectives on mathematics in early childhood education . Charlotte, NC: IAP/Information Age Pub.; 2008:253-276.
  32. Blevins-Knabe B, Musun-Miller L. Number use at home by children and their parents and its relationship to early mathematical performance. Early Development and Parenting 1996;5(1):35-45.

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