I Love iPad and iPod/iPhone apps for education! Here is a listing of our favorites, in no particular order other than what popped into my head first. Also, these are not affiliate suggestions, just the ones we actually use ourselves and really like.
Teach Me – they have Toddler, Kindergarten, First Grade and Second Grade, at this posting. These apps do spelling, simple math, alphabet and shapes, colours, phonics – depending upon which version you are using.
White Board – this is also available for your Mac, so you can interact with the iPad/Phone/Pod live [from across the room, or even in a separate room - haven't tried from separate locations, though]
Letter Tracer – This allows your kids to colour in the letters and numbers. At first, they will just have fun colouring, then they will start learning
Bob Books Magic – there are lite versions of these, so you can try them out for free, the apps themselves currently go for $3.99 each
ABC Free – the 4yo loves this, because she can press the letter and it sounds it out for her [warning, this can be very annoying if your child presses it over and over and over and over....]
PBS Kids – I will admit I am a bit biased, since I’ve always loved PBS. There are some annoying little shows they put on there, but you also have Super Why!, Curious George, Cat in the Hat, the Kratts [teaches them about how animals live, which is awesome], as well as other great educational shows
Netflix - I know, I know, this isn’t an educational app. You will have to keep a good eye on your kid if you let them use this. There are a TON of educational shows and documentaries…but there are also shows like Johnny Test and SpongeBob SquarePants! Also, I have to put the iPad on Airplane Mode, so they don’t try to sneak and watch “TV” when they should be doing school work, if I am not sitting right with them [when I'm cooking or cleaning, etc]
Interactive Books – there are a TON of interactive books, where you can switch language preferences, and some even have puzzle options. They can read to them, you can record your own voice for some, or they can read to themselves. [Mine really love Harold and the Purple Crayon and the Winnie the Pooh Puzzle Book and most of the Dr Seuss books]
Hello Crayon – no, this is not educational, per se. But, you have to have an arts and crafts time, and this teaches them colours and how to stay in the lines without killing trees [Crayola also has an app like this, IIRC] And, if you have the printer option, you can print out the best of the final products, if you want something physical to hang on the fridge or your cubicle wall at work – my 4yo like to put a couple of squiggles on a page and yell done, so this app saves us on paper, and keeps her entertained for about an hour
NASA App – this is great for kids and adults, because you can make space as simple or as complex as you want. You can learn about the different missions and see photographs of some amazing things! [I told 6yo the Barnard 3 Nebula was where the Green Lanterns came from!] Plus, you can keep up to date on the Mars Rover!
Mythbusters – Need I really say more??? Don’t let your little ones have a close look at some their drawn plans, though, because they will start asking for materials. [No matchstick cannons for you!] There are also two $.99 games based on two their most popular myths
Star Walk – this lets you point the iPad in any direction and it shows you the constellations
Where’s My Water? – This is great for hand-eye coordination and problem solving skills. Plus, it teaches a little in the way of physics.
Where’s My Perry? – From the makers of Where’s My Water. Same conceptions, different settings. When they get bored with the gator, they can play with the bird (at least, I think he’s a bird…). Plus, this one is a little more challenging.
Ok, this is all I can think of at the moment. Please feel free to leave comments on other apps you enjoy with your kids below!