Meet the littleBits Synth Kit: a modular synthesizer made up of 12 modules that snap together with magnets. You will be able to use it to learn the basics of analog synthesis. You get a speaker, an oscillator, a keyboard, and other parts to get started. You can connect your synthesizer to computers, headphones, and instruments.
The instruction book comes with 10 inventions, but you can find a bunch more online.