Like the Tech in San Jose, CA, many cities now have brick-and-mortar tech museums. See what programs and services your local museum provides.
Although Leonardo is commonly known as a "universal genius", the exhibitions dedicated to him have almost always focused on some specific area of his activity: art, anatomy, technology, studies on water, on flight, and so on. This example of an on-line museum type site allows you to see how truly remarkable Leonardo was.
Another option for exploring technology is your local MakerSpace. Here's an example of a dedicated maker space for kids in Toronto. Use the Maker Movement link below to locate a MakerSpace in your area.
The Teacher Technology Showcase (Dec. 2013) provided local educators with an opportunity to present how they have used technology in the classroom. Links are provided to many of the presentations. What are your local universities offering?
Although students often learn much about computers by disassembling them (as folks have experienced with every technological advance), museums exhibits and workshops reveal the inner workings of the many technologies which enable our modern world.