Parents and teachers can expect preschoolers to learn numbers 1-20. A fun way to reinforce this is to play games with items made of construction paper, like hearts or circles. Try having preschoolers separate identical items into equal piles. Or place a number of objects on a flat surface and have preschoolers make more piles with the same amount.
The easiest way for children to practice learning colors is to draw with crayons or markers. Give them coloring sheets with themes, like vegetables or animals, or distribute plain paper and let them create as they see fit. You can compare their drawings to real-life objects with them. This works well with fruit, for example. For comparisons, work with just three colors to start out
Preschoolers should learn to remember things as a preparation for reading. One way to practice memory skills is to play the name game. It works best in a group setting. Gather preschoolers around in a circle and have each say their own name. Then ask each child to name as many classmates as they can. They can also try naming several kinds of animals or types of fruit.
Preschoolers are naturally curious, and it's important to encourage that sense of wonder about new things. One way to do that is to lead the children on an expedition. Ask them to collect three different kinds of rocks, leaves or flowers, or ask them to collect three to five items of any kind. Have the children share their findings in a group or with you, and ask them why they picked these items out.