Counting for pre k
40 Counting Games And Number Activities For Preschoolers
The basic foundation of math is understanding numbers and quantities. One of the best ways to develop these understandings, or number sense, is through handling objects and counting them. We can listen to preschoolers recite numbers in order, but we want them to apply that to counting objects and understand that those numbers represent quantities of items. Counting games and activities encourage preschoolers to “play” with numbers and quantities and build math skills and number sense in natural ways. These ideas can help you build math and counting skills with preschoolers.
Counting Games and Activities
These 40 preschool math games include counting games and various number activities. They are perfect to help build counting skills and math skills in your preschoolers and kindergarten students.
1. Dog Bone Counting Game (Pre-K Pages) – This is a fun, hands-on counting game for students in your preschool, pre-k, or kindergarten classroom.
2. Farm Animal Counting Activity (Pre-K Pages) – What could be more fun than Counting Feet with farm animals?
3. Printable Counting Book (Pre-K Pages) – Identifying and naming numbers can be a difficult skill for young children in preschool and kindergarten.
4. Homemade Counting Board Game (Pre-K Pages) – This homemade game can help preschoolers develop math concepts while playing a game together.
5. Mouse Counts Game (Pre-K Pages) – Mouse Count inspired this activity that helps children practice counting to ten while also working on their fine motor skills – and it’s lots of fun too!
6. Fire Truck Counting Game (Pre-K Pages) – In this activity, children will explore fire trucks and firefighters with a counting game.
7. Penguin Counting Game (Pre-K Pages) – This Penguin Counting Game is the perfect addition to any winter theme, lots of fun for young children and great practice for counting, number sense, and one-to-one correspondence.
8. Ocean Theme Counting Activity (Pre-K Pages) – The best preschool activities allow children to be interactive and hands on while they explore new concepts. We’ve developed a fun, easy to prepare ocean theme counting activity to do just that.
9. Nursery Rhyme Number Game (Pre-K Pages) – This nursery rhyme activity relates to “Baa Baa Black Sheep” and encourage number recognition and counting, important math concepts.
10. Digital Counting Activities Using Google Slides (Teaching Mama) – This resource has digital counting activities, which is perfect for the preschool and kindergarten age.
11. Button Counting (Busy Toddler) – Grab a deck of cards for this fun button counting math activity.
12. Football Counting Game (Sunny Day Family) – With a die, football printable, and some yogurt Danimals it’s a fun counting game your preschoolers will love.
13. Snowman Hole Punch Counting (JDaniel4’s Mom) – Use your hole punch to create these snowmen and work in a fun counting activity to go along with it.
14. Ladybug Busy Bag (Preschool Inspirations) – Work on counting with your preschoolers with these adorable paper ladybugs.
15. Cookie Counting Game (Still Playing School) – Have your kids practice counting chocolate chips with these paper chocolate chip cookies.
16. Counting Snowballs (Fun-a-Day) – This easy counting cotton balls activity is a great math activity for your preschoolers.
17. Race to Fill the Cup (Mom Inspired Life) – Have fun filling a cup with these adorable erasers.
18. Count and Compare (Stir the Wonder) – Use these fun Farm Animal Rainbow Counters to inspire young children interested in animals or to go along with a farm theme!
19. Little Miss Muffet Path Game (Preschool Spot) – This fun activity is based on the nursery rhyme, Little Miss Muffet.
20. Tally Marks with Pencils (Munchkins and Moms) – Have fun practicing making tally marks with #2 pencils.
Counting Games and Number Activities For Preschoolers
More preschool math games to enjoy! These counting games and number activities will be definitely enjoyed by your preschoolers and build their math skills.
21. DIY Counting Boxes (Parenting Chaos) – Label containers with numbers and then have your preschooler fill each bucket with the labeled number of items.
22. Play Dough Numbers and Counting (Little Pinch of Perfect) – This activity is simple to set up and a great way to expose young kids to numbers and lets them visually see the difference in amounts. The activity can be adapted for different skill levels by making smaller or larger numbers.
23. Passing Car Count (Prekinders) – In this activity, we watched for red & blue cars as they passed by on the street. Children recorded the cars they saw by marking dots on their sheet with a corresponding color crayon.
24. Ways to Teach Counting (Prekinders) – Here are 15 ways to teach counting skills in Pre-K.
25. Ants on a Log Game (Teach Preschool) – DIY “ants on a log” counting game with the children then invite the children to draw their own ants on a log…
26. The Math Box (Teach Preschool) Create a simple math box and then watch as your preschoolers love filling it and practice their counting skills.
27. Counting and Addition Tray (Imagination Tree) – Set up an open-ended maths activity for kids using counting manipulatives, play dough and a dice, in a dip tray!
28. Simple Montessori Counting Activity (My Mundane and Miraculous Life) – This simple counting activity with rocks, your child can work on number recognition.
29. Things to Count With (Pre-K and K Sharing) – Repurpose what you have and count items with your preschooler!
30. How Many Blocks Long? (Brick by Brick) – This is a fun activity where your preschooler can see how many block longs they are and practice counting as they do it.
31. Make Groups of Numbers (Teach Me Mommy) – This simple counting activity is easy to setup, can be played with one or more children and it is fun too!
32. Count and Smash Activity (Stir the Wonder) – The great thing about play dough besides that it is just fun, is that it is also a great way to work on fine motor skills, work in some math skills, and get some sensory input and it can be used in many ways for hands-on learning!
33.
Activities with Counting Blocks (Educators’ Spin on It) – These are 8 math and counting activities for your preschooler to enjoy.
34. Where the Wild Things Are Game (Mom Inspired Life) – While playing, children practice counting, learn one to one correspondence and even get some fine motor practice.
35. Listen and Spray Game (Fantastic Fun and Learning) – This activity is great for counting practice but also for fine motor practice.
36. Race to Lose a Tooth Game (Toddler Approved) – This fun dental theme inspired activity with marshmallows is a fun counting game for your preschoolers to enjoy.
37. Roll and Count (Buggy and Buddy) – Here’s a counting math game for kids perfect for practicing one-to-one correspondence. It’s super easy to make and lots of fun for the kids!
38. Count Forward and Back Game (Fantastic Fun and Learning)- This preschool math game would be perfect during St. Patrick’s day and March in your classroom.
39. Build a City Game (Learning 4 Kids) If your preschooler loves playing with Legos then they will love this math game.
40. Mystery Mitten Tactile Counting Game (Preschool Toolbox) – Gather some real mittens and come play a tactile mystery mitten counting game to encourage early math intuition with tactile support!
Also check out the free Winter Play Dough Counting Mats and our other thematic counting mats.
Follow my Counting Pinterest Board for more great ideas!
3 Ways to Engage Pre-K Students in Counting
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The task of counting may seem simple, but as Ann Carlyle and Brenda Mercado point out in Teaching Preschool and Kindergarten Math, (Math Solutions, 2012), there is an important distinction between the rote or automatic counting that young children start with, and the eventual formulation of a deeper cognitive connection to the meaning of the numbers and what those number words represent.
Research shows us that the ability to simply recite numbers in sequence is followed later by a more complex understanding of these abstract symbols and their various attributes, as learners gain more familiarity with numbers and patterns.
Rote counting progresses into more meaningful comprehension and expression when young children can experience enjoyable and predictable routines that promote accuracy in number sequencing and that illustrate the way that numbers build and grow. Incorporating counting books, counting rhymes and songs, and counting plays or “play-acting” are all great ways to provide younger students with exciting opportunities to practice counting in the PreK-K classroom.
Counting Books
There are a multitude of wonderful children’s books that offer repeated counting opportunities in a context that young learners naturally gravitate toward–storytelling. The beloved Dr. Seuss classic, One Fish Two Fish and the many-versioned, delightful Over the Meadow are two examples of stories in which counting is inherent to the action of the tale, thereby giving listeners a reason to follow closely along and see the connection between the spoken numbers depicted in magical illustrations and in a plot, both of which bring significance to the numbers.
Students at this young age are hard at work developing the ability to recognize the similarities and differences between objects, which in turn leads not only to counting, but to seeing patterns, such as repeating, growing, and shrinking patterns. The ability to then start making generalizations and predictions about numbers is seen when, for example, during recitation a story, students demonstrate that they can fill in the number words before the teacher reads them aloud.
Allowing students to create counting books of their own, perhaps incorporating a common theme for the entire class, will enhance this learning and creativity, while emphasizing numerals within a “real” context for children who are just beginning to count.
Counting Rhymes and Songs
Rhythm, music, and specifically rhymes and songs geared toward young students are perfect for learning to count, in part because they lend themselves to movement, while being easy to remember due to the rhyming, as well as just plain fun for kids who no longer want to sit still.
Rhymes and songs that involve finger counting reveal so much about the developmental stages of children, not only in terms of their fine motor skills, but in relation to how they represent the numbers in a song’s pattern by holding up and counting on their fingers. Some rhymes provide growing patterns of adding “one more”, while others, such as one noted in Teaching Preschool and Kindergarten Math called Five Little Ducks Went Out One Day, depict a shrinking pattern of “one less” as the rhyme progresses. Learning about patterns through such vivid songs and rhymes supports mathematical predictions and reasoning skills.
Counting Plays
A third terrific classroom activity for incorporating counting, which even very young children are surprisingly drawn to, is that of acting out roles in a familiar story or fairy tale, turning it into a “play”. Classmates can take turns as the actors and as the audience members; both of which are learning experiences.
Donning a simple costume of a hat, mask or vest, or holding a prop sometimes brings out the “ham” in even the shyest of the group.
Play is the “work” of early childhood, and play-acting is a great way to immerse PreK-K students in both language and in counting activities at the same time. Young children are masters at imaginary play, and guiding them through stories provides opportunities for observation, group participation, repetition, and practice, which can help to solidify comprehension and build confidence. Two well-known stories to turn into plays are The Three Little Pigs, and Goldilocks and the Three Bears. Try preparing a simple script that highlights the counting of the chairs, the bowls of porridge, and the beds we are all so familiar with in the Goldilocks story, as well as preparing basic props or identifiers, such as a paper face glued to a popsicle stick, to be held up by each actor who portrays one of the characters. Participating in these plays children become a part of the action, and really enjoy “thinking on their feet”.
Success in helping preschool and kindergarten students to develop a solid math foundation early on is now seen by researchers as a strong predictor of future classroom learning. Counting skills are a critical part of that foundation, and are challenging but rewarding to address in the classroom using these ideas, and many more. Stay tuned next time for suggestions on encouraging math talk in the PreK-K classroom!
Treve Brinkman is devoted to building the capacity of both teachers and students in order to create classrooms where growth mindset, communication, and deep mathematical understanding are central. In the role of the Professional Learning Specialist, Treve supports districts’ professional learning for leaders and teachers through the facilitation of both whole group learning as well as individual coaching sessions.
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2=\frac{n(n+1)}2\cdot\frac{2n+1}3=\frac{n(n+1)(2n+1 )}6. $$ nine2}4. $$ It is noticeably more difficult to guess the formula for the sum of fourth powers. Unlike previous cases, $S_4(n)$ has practically no common divisors with $S_1(n)$ (except for two). But you can see that 14 and 98 are divisible by 7, 55 and 979 by 11... Let's look at the ratio $S_4/S_2$.
| $ n $ | 1 | 2 | 3 | 4 | 5 | 6 |
| $ | 1 | 5 9 9 9.0023 | 14 | 30 | 55 | 91 |
| $S_4$ | 1 | 17 | 98 | 354 | 979 | 2275 |
| $S_4/S_2$ | 1 | 17/5 | 7 | 59/5 | 89/5 | 25 |
It can be seen that after multiplying this ratio by 5, we get a sequence of integers: 5, 17, 35, 59, 89, 125... Here it is no longer possible to say that the difference between neighboring numbers is unchanged.
.. Still, let's look at these differences: 12, 18, 24, 30... - the pattern is immediately visible! nine2+3n+1)}6=\frac{n(n+1)(2n+1)}6. \end{eqnarray}$$ In a similar way (formally speaking, “by induction”), we can prove the above formulas for $S_3(n)$ and $S_4(n)$.
Afterword
Apparently the most visual way to calculate the sum of $1+2+\ldots+n$ is geometric: this sum can be thought of as triangular number , i.e. the area of the "pixel" (composed of unit squares) isosceles rectangular "triangle" with side $n$. From two such triangles it is easy to make a rectangle of size $n\times(n+1)$, which gives the answer $n(n+1)/2$ (half the area of the rectangle). nine2$. One of them can be viewed on the youtube channel Think Twice, see also a selection of "evidence without words" in Quantum No. 11 for 2017.
Note, however, that the formula for the sum of fourth powers does not expand (unlike the previous ones) into simple linear factors. Apparently because of this she is not it turns out to be found by methods of geometric summation and it was discovered about 1,000 years later than the formula for the sum of cubes (already known in antiquity).
In order to move forward, it is useful to think about what we we hope to see it as an answer. Not any algebraic expression can be decomposed into sufficiently simple factors, but it is always possible, on the contrary, open all brackets and give similar ones. In the cases we have studied, we get next 9m$
Remarkably, the same Bernoulli numbers arise and in quadrature formulas for calculating approximate values of integrals, and when calculating infinite sums of the type $1+\frac14+\frac192}6$ (i.e., values famous zeta function ), both in combinatorics and in theory numbers, and in topology...
Literature
- D. Poya. Mathematics and plausible reasoning (M.
: Nauka, 1975)
https://mathedu.ru/text/poya_matematika_i_pravdopodobnye_rassuzhdeniya_1975
There are few places where you can read not about a specific area of mathematics, but about how to solve a new mathematical problem in general. The tips and solution above essentially follow chapter 7 of this wonderful book. nine0280 - Interview with academician I. M. Gelfand // Kvant, 1989, no. 1, 3–12
http://kvant.mccme.ru/1989/01/akademik_izrail_moiseevich_gel.htm
The solution above attempts to explain how some formulas for power sums could be looked up by anyone. Those interested in mathematics may find it interesting to read how one of the outstanding mathematicians of the 20th century solved such a problem in his school years (actually, about this - a small phrase on pages 8-9, but the whole interview is interesting). nine0280 - V. S. Abramovich. Sums of equal powers of natural numbers // Kvant, 1973, no. 5, 22–25
http://kvant.
mccme.ru/1973/05/summy_odinakovyh_stepenej_natu.htm
You can read the proof of the formula for the sum of powers (from the end of the afterword), using, in fact, only Newton's binomial. - G.A.Merzon. Algebra, geometry and analysis of sums of powers of successive numbers // Matem. enlightenment, ser. 3, no. 21 (2017), 104–118.
https://mccme.ru/free-books/matpros_21.html nineupMath Game Math Animals Math Games for Kids in Pre-K & Kindergarten Subtraction, math, game, children, cartoon png png
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