1. Counting with Stickers: Give each child a sheet of paper with numbers written on it and a set of stickers. Have them stick the correct number of stickers next to each number.

2. Shape Hunt: Take the children on a shape hunt around the classroom or outdoors. Encourage them to find objects that match different shapes, such as circles, squares, triangles, and rectangles.

3. Number Line Jump: Create a number line on the floor using tape and ask the children to jump on the correct number when called out. This helps them practice counting and number recognition.

4. Sorting Buttons: Provide children with a pile of buttons in different colors and sizes. Have them sort the buttons into groups based on their attributes, such as color or size.

5. Pattern Making: Give children various objects, such as colored blocks or buttons, and have them create patterns by arranging the objects in a certain order, such as ABAB or ABCABC.

6. Counting with Toys: Ask children to count a set of toys, such as cars or building blocks, and match the number to a corresponding written numeral. This helps them associate quantities with numerals.

7. Number Bean Bag Toss: Create a target with numbered circles on the ground and have children toss bean bags onto the circles. They can then add up the numbers they land on to practice addition.

8. Shape Collage: Provide children with magazines or construction paper cutouts of different shapes. Ask them to create collages using only specific shapes, such as triangles or circles.

9. Number Bingo: Create Bingo cards with numbers and have children mark off the numbers as they are called out. This game reinforces number recognition and counting skills.

10. Measuring with Cubes: Give children a set of interlocking cubes and have them measure different objects in the classroom. They can compare the lengths and practice counting the cubes.

11. Counting Snacks: Provide children with a set of snacks, such as pretzels or raisins, and ask them to count out a certain number for themselves and their friends. This helps with one-to-one correspondence.

12. Shape Walk: Take the children on a walk and ask them to identify and collect objects that represent different shapes. Encourage them to describe the attributes of each shape they find.

13. Number Puzzles: Provide children with number puzzles where they have to arrange the pieces in the correct numerical order. This helps with number sequencing.

14. Coin Sorting: Give children a variety of coins and ask them to sort them based on their value. They can practice counting and recognizing different coin denominations.

15. Estimation Jar: Fill a jar with a certain number of objects, such as buttons or marbles, and have children estimate how many are inside. They can then count and compare their estimate.

16. Shape Playdough Mats: Provide children with playdough and mats with outlines of different shapes. Encourage them to create and match the shapes using the playdough.

17. Number Hopscotch: Draw a hopscotch grid with numbers and have children hop on the correct numbers as they count and jump. This activity combines physical movement and counting skills.

18. Domino Addition: Give children a set of dominoes and ask them to create addition equations by counting the dots on each side. They can practice basic addition skills.

19. Number Writing Practice: Provide children with paper and crayons and ask them to practice writing numbers. Encourage them to trace the numbers first and then write them independently.

These engaging math games and activities will help preschoolers develop their counting, number recognition, shape identification, and other foundational math skills in a fun and interactive way.