I love maps

You can search images online for "Peters map projection"and find a map of the world with countries sized according to land area. Even this map is a little misleading, though, because Russia and Canada are stretched out into narrow shapes that make them appear smaller than they are.

Another cool map is one that shows countries sized according to their population. Over a third of the word's people live in China and India. This one is from businessinsider.com

Another kind of map I can imagine making is a map of the world that preserved both shapes and sizes of countries by dividing up the oceans. You could make it out of some sort of cloth with pile, with higher or denser pile for the denser population areas. You could provide a blank globe and you could practice putting the pieces on in the right place (would need some way to make them stick).

Some old maps were not meant to be accurate, but were works of art. Like this one with Jerusalem as the center of the world.

 

 

And while we're on the subject of making maps to play with, how about a flat map with countries the right size, and some kind of tokens to put on each one to show population. The most densely populated country would have to have just enough space for the tokens.