1. Counting Caterpillar: Create a caterpillar using cut-out circles and write numbers on each. Have the preschooler practice counting by placing the correct number of pom-poms on each circle.

2. Shape Sorting: Cut shapes out of colorful construction paper and have the child sort them into corresponding baskets or containers.

3. Number Hunt: Write numbers on sticky notes and hide them around the room. The child can go on a number hunt, finding and reciting the numbers they find.

4. Pattern Play: Create simple patterns using colored blocks or toys and ask the child to continue the pattern.

5. Dice Math: Roll a pair of dice and have the child count the dots and add them together.

6. Number Tracing: Write numbers on a piece of paper and have the child trace over them to practice number formation.

7. Number Matching: Create a number matching game using flashcards. The child can match the numeral to the corresponding number of objects.

8. Measurement Exploration: Provide various objects like blocks, crayons, and books for the child to explore and compare their lengths.

9. Counting Songs: Sing counting songs together to help reinforce number recognition and counting skills.

10. Shape Hunt: Go on a shape hunt around the house or classroom, looking for and identifying different shapes.

11. Number Puzzles: Use number puzzles or puzzles with counting objects to help the child practice number sequencing.

12. Sorting by Size: Have the child sort objects by size, such as arranging blocks from smallest to largest.

13. Pattern Necklaces: Use beads or other small objects to create simple patterns that the child can string onto a necklace.

14. Ten Frames: Use ten frames to help the child visualize and understand numbers up to ten.

15. Addition with Manipulatives: Use counters or small objects to help the child understand addition by physically combining two groups.

16. Subtraction Stories: Create simple subtraction stories for the child to solve, using objects or pictures to aid in understanding.

17. Counting with Nature: Take a nature walk and have the child count different objects they find, such as leaves or rocks.

18. Tens and Ones: Introduce the concept of tens and ones by using manipulatives or drawing pictures to represent numbers.

19. Number Hopscotch: Create a hopscotch grid with numbers and have the child hop from one number to the next, practicing number recognition and counting.