Sometimes the kid in all of us wants to play, and having a kid in tow makes these places even more fun because discovering new things can be both entertaining and educational.
If you love to see what the cars of the future will look like, then head over to the Petersen Auto Museum. You don't have to wait for the annual auto show to see concept cars. They are all here, along with old hand crank cars in beautiful vintage condition.
There are always interesting exhibits at the California Science Center. The current attraction that is drawing kids and adults alike is the Human Body exhibit which has skinless bodies on display for a slightly morbid and fascinating look "inside" human (and animal) bodies. There are also other exhibits that are scientific without being creepy if you don't want to have nightmares after you leave.
If stars and planets are fascinating to you, then the Griffith Observatory's new renovation will enthrall you. With newly updated exhibits and a face-lifted building, this is the place to dream of traveling through the stars to planets beyond.
The best way to learn is to be entertained; go entertain yourself with educational kid stuff!