Whether or not you decide to use a formal program or not, there are other things you can do to help your 3yo learn. If you have any objects to use for sorting, put those in baggies or tupperware and let her sort by color, shape, etc. You could make some flash cards (
www.beginningreading.com) and have those available for her to "play" with. Print 2 sets and it could be a matching game. You could do the same with numbers, matching the number word to the number or just being able to find the numbers to match. Have papers, assorted pencils, crayons, markers, scissors, glue sticks, envelopes, scrapbook paper, etc. available for her own artistic creations. Legos for building, blocks, cars, little people or farm animals, dolls, books-these can all be used to keep her busy and learning. She could string beads, cheerios, buttons onto yarn. You can have her glue cheerios, or place stickers on letters of the alphabet (that you've written on paper in LARGE print). Stamps are great fun, and if you don't mind a mess, a painting easel or table. A tub of some sort with rice, cornmeal, confetti, or water is a great 'sensory' experience. Use cars, boats, shovels, water toys, etc. to play in this. Educational videos are even helpful for those times when you really need her occupied and can't sit right with her. We've utilized all of these things at some point since we began homeschooling, and even my 8yo daughter has asked to join in! We just have my youngest ( now 4.5) do these at our LR coffee table so I can see and hear him. So, I hope these are helpful suggestions. In fact, now that I've listed all those activities, we may incorporate some of them into our school day again!
